PREPAREDNESS OF TEACHERS IN THE USE OF ICT FOR I TEACHING MATHEMATICS IN SECONDARY SCHOOLS OF TIGANIA EAST DISTRICT-KENYA BY MUKIRI lRENE MWINGIRW A E55/CE/1504112008 Mukiri Irene Preparedness of teachers in the use 11~llllm2'l\~m!~111111 A THESIS SUBMITTED IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR MASTER OF EDUCATION DEGREE IN THE SCHOOL OF EDUCATION, KENYATTA UNIVERSITY KENYATTA UNIVERSITY LIBRA MAY, 2012 nDECLARATION This thesis is my original work and has not been presented for a degree in any other university. Signature ~""E;""""'''':'''.-------- Date 21../ Dd~O,),. ., MUKIRI IRENE MWINGIRW A REG. NO. E551 CEll 504112008 We confirm that this work was carried out and reported by the candidate under our supervision as University Supervisors. ---------;;l>I- ~i:I:::Jit.~~ DR. SIMON RUKANGU Department of Educational Communication and Technology KENYATTA UNIVERSITY :2 ~ -s -~O(?.. DATE------------------------- PROF. SAMSON MUTHWn Department of Educational Communication and Technology KENYATTA UNIVERSITY 1I1 DEDICATION This work is dedicated to my daughter Immaculate, my son Justin who had to bear with my absence during my coursework and my divided attention as I worked on my thesis; to my husband Maurice for his patience, encouragement and support and to my parents fur mentoring me and for their continued prayers and support. IV ACKNOWLEDGEMENT I would like to acknowledge the support given to me by various individuals who made it possible for me to complete this work successfully. To begin with, special thanks go to my supervisor Dr. Simon Rukangu for his commitment, thoroughness and flexibility as we worked together and met on many occasions some of which he had to go out of his way. Similarly, J thank my second supervisor, Prof. Samson Muthwii for being very supportive and committed to guiding me through the whole work. Moreover, I acknowledge Tigania East District's mathematics teachers from various schools and their respective principals for responding to the questionnaires and the interview schedules promptly. To Mr. Safari Ntalala a colleague teacher from Karama secondary school who helped in proofreading my work, I am greatly indebted. In addition, I thank my family members; my husband Maurice for his highly valued support, encouragement and for helping in typing my work. I also thank my parents Mr. and Mrs. Kibaki for supporting me financially and taking care of my son Justin while I was away doing my coursework. Finally and most important I thank God for giving me strength, good health and wisdom to do this work successfully. 7 vTABLE OF CONTENTS DECLARATION .ii DEDICATION .iii ACKNOWLEDGEMENT iv TABLE OF CONTENTS v LIST OF FIGURES viii LIST OF TABLES .ix ABBREVIATIONS AND ACRONYM .' x ABSTRACT xi CHAPTER ONE: INTRODUCTION 1 l.0 Background Information 1 l.1 Statement of the Problem 7 1.2 Objectives 8 1.3 Research Questions .. " 8 1.4 Significance of the Study 9 1.5 Scope and Limitations of the Study 9 1.6 Assumptions ofthe Study 10 1.7 Conceptual Framework 11 1.8 Chapter Summary 13 1.9 Operational Definition of terms 14 CHAPTER TWO: LITERATURE REVIEW 15 2.0 Introduction .15 2.1 The influence of technology on Instruction 15 2.2 Essence of Technologies in Mathematics Teaching and Learning 17 2.3Teacher Attitudes towards Computer Use 26 2.4 Preparedness of Mathematics Teachers in using ICT for Teaching 29 VI 2.5 Chapter Summary 33 CHAPTER THREE: METHODOLOGy 34 3.0 Introduction 34 3.1 Research Design 34 3.2 Variables 35 3.3 Location of the Study , 37 3.4 Target Population 38 3.5 Sampling Procedure and Sample Size 38 3.6 Research Instruments 39 3.7 Pilot Study 40 3.8 Determination of Validity and Reliability 40 3.9 Data Collection 42 3.10 Data Analysis .43 3.11 Logistical and Ethical Consideration 43 3.12 Summary 44 CHAPTER FOUR: DATA ANALYSIS, PRESENTATION & DISCUSSION 45 4.0 Introduction 45 4.1 Teacher's Use of Available Resource 45 4.2 Teacher Training in ICT 53 4.3 Teacher Perceptions towards the Use ofICT 58 4.4 Support Structures 62 4.5 Barriers towards the use oflCT for Teaching Mathematics 63 • 4.6 A summary on Preparedness of Teachers towards the use oflCT 66 CHAPTER5: SUMMARY, CONLUSrONS & RECOMMENDATIONS 67 5.0 Introduction 67 5.1 Summary of Findings 67 vu 5.2 Conclusion 74 5.3 Recommendations 75 5.4 Suggestions fur Further Research 77 REFERENCES 78 APPENDICES 89 APPENDIX A: Teachers of Mathematics Questionnaires (TMQ). 89 APPENDIX B: Interview Schedule for Selected Teachers 94 APPENDIX C: Observation Schedule 97 er-r" APPPEDIX D: Principals Questionnaire 99 APPENDIX E: A List of Secondary Schools in Tigania East District. 101 kENYATTA UNlVERSITY LIBRARY V 111 LIST OF TABLES 1.1 Conceptualized Research Variables for the Study 12 2.1 Example on Average Monthly Temperatures 23 4.1 A Summary of Available Resources in Secondary School 46 4.2 Computer Response uses by Mathematics Teachers 48 4.3 Teacher Response on Barriers Faced during Teaching using ICT 64 IX LIST OF FIGURES 1.1 Conceptualized variables ofthe study .12 2.1 Linked multiple representations ofthe maximum area problem 19 2.2 Incremental CUIvefitting solution 24 3.1 Variables 35 4.1 Availability of Computers .47 4.2 Availability of Radios in Secondary School. .49 4.3 Qualifications of Teachers 53 4.4 lCT Qualifications of Teachers 54 4.5 Teacher Perceptions in Relation to lCT use 59 CD CDROMS CFSK INSET icr IT KCSE KNEC NE PAD PCAST PST SMASSE TSC UNESCO x ABBREVlA TIONS AND ACRONYMS Compact Disc Compact disc read only memory Computer for Schools Kenya In Service Training Information Communication Technology Information Technology Kenya Certificate of Secondary Education Kenya National Examinations Courcil New Partnership for African Development President's Committee of Advisors on Science and Technology Pre-service secondary mathematics teachers Strengthening of Mathematics and Sciences in Secondary Teachers Service Commission United Nations Educational, Social and Cultural Organization Education XI ABSTRACT This study aimed at investigating the current level of mathematics' teacher preparedness in using JCT for teaching. Teacher preparedness was measured in three main aspects; teacher's training levels, teacher attitudes towards ICT and the use of available ICT resources. The study was carried out in Tigania East District which has 30 secondary schools. The design selected for this study is a descriptive survey. The study used Mathematics Teachers Questionnaires, Interview Schedule and an Observation Guide to collect data. The researcher used simple random sampling techniques to select 30% of the teachers to constitute the sample size. The Cronbach reliability coefficient alpha of 0.79 was realized meaning there was internal consistency of the data collected. Data was analyzed by use of descriptive statistics such as the frequencies, and percentages. This was done using the SPSS program as a tool to aid the analysis. The study revealed a variety of ICT resources in the secondary schools in Tigania East District. Further, 66.9% of schools in the district had support structures such as electricity and generators. The study further showed that teachers did not use the ICT resources available as they lacked knowledge on appropriate usage. The lack of pre-service and in-service training was sighted as a major limitation. The study concluded that mathematics teachers in Tigania East District were unprepared to embrace ICT resources in their teaching because they lacked relevant training and enthusiasm, and were found not to use the available ICT resources. The study recommends a retraining of mathematics teachers through INSETs on how technology should be applied to improve the teaching of Mathematics. The study also recommends that the ministry of education improves on the staffing of mathematics teachers who are trained to use ICT as most schools were seen to have a shortage of these teachers. The findings of this study will be useful to mathematics teachers, school administrators and the quality assurance standard officers in the ministry of education. CHAPTER ONE INTRODUCTION 1.0 Background to, the study Mathematics is one of the core subjects in the. secondary school curriculum. Students in Kenyan secondary schools are required to do a minimum of seven subjects at KCSE level. Out of these seven, I~athematics is one of the three compulsory subjects, besides English and Kiswahili. Cockcroft report (1982) notes that Mathematics is only one of the many subjects which are included in the school curriculum, yet there is greater pressure for children to succeed at mathematics .... This suggests that mathematics is in some way thought to be of special importance (p. 10). This causes the great pressure that teachers experience in teaching mathematics. Further pressure comes in during selection of courses. Most colleges in Kenya require a certain minimum grade in mathematics before a student is enrolled into any course. Orton and Frobisher (1996) notes that The importance of mathematics is emphasized when future employment of a child is being considered. The subject is used as a filter or hurdle possibly more often than any other subjects. lormally, a mathematics examination pass at an appropriate level is demanded before entry to a particular profession or occupation can even be considered - whether any mathematics is required in the performance of the job or not. (p. 1) This use of mathematics as a filter at different levels makes the teaching and learning of the subject demanding as the teachers and learners are not relaxed to enjoy the subject. Pressure to succeed and to pass examinations makes it hard for learners to be at ease with the subject matter, to develop a state of mind which is receptive to the idea that mathematics can be enjoyable and need not generate 2anxiety and panic. Pressure also makes it difficult for teachers of mathematics at any level to aim at teaching for the enjoyment of learning and achieving effective teaching of mathematics rather than for future examination success. Introduction of Information and Communication Technologies (lCT) into the teaching process has been recommended with the aim of improving the teaching and learning of mathematics. According to Pelgrum and Plomp (2002) "investments in Information and Communication Technology (lCT) have increased in recent years, with the perception that increased student use of computers and other electronic forms of media may have a positiveimpact on students' achievement" (p.l S). The use of electronic media in the process of teaching mathematics is hoped to improve the learning environment depending on how well the teachers are prepared to use these resources. The use of ICTs on its own may not improve the teaching of mathematics if the teacher is not properly prepared to use these resources in the appropriate ways. In the Principles and Standards of School Mathematics the National Council of Teachers of Mathematics (NCTM) identified the "Technology Principle" as one of six principles of high quality mathematics education (NCTM, 2000). This principle states: "Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning" (p.24}. This implies that technology influences the teaching methodology applied by the mathematics teachers. The situation in the teaching of mathematics using l'CT in Kenya should be established, to find out if this principle is applied in the day to day teaching or not. There is widespread agreement that mathematics teachers, not technological tools, are the key change agents to bringing about reform in mathematics teaching with 3technology (Kaput, 1992; NCTM 1991, 2000). Teachers therefore should be in control of the available ICT resources and be able to manipulate them to enhance their teaching. Although the National Council of Teachers of Mathematics identifies technology as essential in enhancing the teaching of mathematics, these resources by themselves would not do it. Teachers are the change agents. Preparing teachers to use technology appropriately is therefore a necessary task for teacher educators. Waits and Demana (2000) argue that adoption of technology by teachers requires professional development that focuses on both conceptual and pedagogical issues, ongoing support in tenus of "intensive start-up assistance and regular follow-up activities" and a desire to change from within the profession (p. 53). In addition, their studies of teachers' implementation of educational technology document that at least three to five years are needed for teachers to become competent and confident in teaching with technology. Graduate teachers in Kenya are trained for four years, while diploma teachers go through three year training which fits within the time recommended in the above study. The duration mathematics teachers are trained notwithstanding, there is a task to establish if these teachers are prepared to use technology in their teaching. This is because times are changing and technology is advancing with each passing day. For mathematics teachers to be effective in their teaching, they need to keep pace with the ever changing technology. The meaning of information technology varies from time to time depending on who is defining it and the purpose for which the ICT resources are used. A description of ICT today encompasses a wide range of technologies that include radio, television, mobile phones, internet, video, compact disks (CD), compact disks read only 4memory (CD-ROM) players, personal organizers, programmable as well as remote operated computers (Ohara 2004: 1X). Initially ICT revolved around the computers only but currently, computers are only a component of ICT. National curriculum on lCT in mathematics states that ICT can stimulate whole-class activities and influence the way particular topics, such as equations and formulae are approached in the classroom. Usually practical activities and individual student's work need to take place alongside work with ICT. This ensures that students are fully engaged during the mathematics lessons. The main examples of ICT in teaching of mathematics include calculators, small programs such as number games or investigation, databases and spreadsheets, graph plotting, dynamic geometry, independent learning styles (rLS), the internet, word processing, and programming. The teacher has the duty to choose which type of resource to use in teach.ing various topics. His or her decision depends on the available resources, nature of topic and level of students. Kenyan secondary schools have embraced the use of JCT in the teaching of mathematics. This is observed as almost all secondary schools are currently using calculators besides other resources during mathematics lessons. Jn the year 2002, the Kenyan government approved a policy on calculator use for all secondary school mathematics students. This policy has since been implemented with the aim of making the subject less complicated and to help students in mathematics so as to concentrate on conceptualizing ideas. Schools have further invested in computers and other technologies such as the radio, television and video. Further the rural electrification program has made it possible for most schools to use these ICT resources. Having put the necessary policies into place and provided the necessary 5infrastructure, the preparedness of teachers who are to embrace the policies and the use of these resources should be addressed to ensure the successful teaching of mathematics. For teachers to be effective, they need to understand the fundamental principles that underlie school mathematics so that they can teach it to the diverse groups of students as a coherent, reasoned activity The challenge however, lies with the teachers in the implementation of leT in teaching and learning of mathematics. Teachers are faced with major decisions on how to present the information, which leT resource to use, which content to teach using which leT resource and also how to plan for the standard 40 minutes lesson time. According to Bingimlas (2008) the major barriers when teaching using JeT are lack of confidence, lack of competence and lack of access to resources. This discourages teachers from even attempting to use JC'f in mathematics lessons. Teachers believe in being well prepared before going to teach. If a teacher wants to .. use IC'l' in teaching mathematics but feels incompetent in the use of leT, he/she will shy off from using it. This therefore calls for preparation of teachers to enable them embrace the available K'Ts for teaching matbematics. The educators not only need the leT resources but also need to know what to do with it and at what point and content to use leT. According to JeT and Education-Policy, Strategy, and Further Progress of 2001 the human environment must be prepared and the support of stakeholders must be enlisted. Teachers and education system administrators can be the strongest agents of change, or they can very easily resist it. Investments that seek to implement infrastructure, computers, and specialized software without taking the 6necessary time to lay the human groundwork are doomed to a long and costly learning curve. The importance of mathematics as a subject cannot be over-emphasized; the teaching of the subject on the other hand requires proper prepar~ion. The search for an appropriate method of teaching mathematics so as to improve the process of learning mathematics has led to the use of leT resources. The introduction of leT has been faced with several challenges but most commonly noted challenge to the implementation of leT is the lack of confidence and preparedness for the educators. A study by Lehtinen (1999) based on the challenges faced in teaching and the use of new technologies in instruction in Lahti polytechnic in Finland gives the reasons for teachers' reluctance to experiment with leT in instruction as usually lack of time, lack of computer know-how and lack of pedagogical support. All in all, the teachers at the faculty of technology may have been reluctant to offer online courses, because they simply did not know how to teach on the net. There was technical support available, but obviously that was not enough. A recent study based on the Kenyan system of education by Ogel, on the integration of leT in mathematics education gives the challenges of integrating K'T as; lack of curriculum coherence, poor articulation within the education system, inadequate teacher preparation and professional development. Is this likely to be the case in many learning institutions in Tigania East District? 71.1 Statement of the problem A study by Kanja (2001 :70) on mathematics education in Kenya states that performance on mathematics concepts is poor, the quality of teaching is poor and that most students said that classroom environment is harsh and unfriendly. In the face of this situation Kanja recommended that mathematics teachers need to understand and implement good teaching skills and that information communication technology be incorporated into the teaching. Various studies including (Papert, 1987; Voogt & Pelgrum, 2005; Watson, 2004) have recommended lCT as a solution to improve the teaching of Mathematics. In accordance to this, many programs such as, the NEPAD (New Partnership for African Development), computer for schools Kenya (CFSK) and the ICT trust fund have been started to fund information technology in secondary schools of Tigania East district with an emphasis on computerization .. The rural electrification program has been put in place to ensure secondary schools in rural areas have access to electricity in order to ensure that use of ICT resources is possihle. Despite this government support, the teaching of mathematics has remained poor. Since ICT resources have been availed to secondary schools, it means the real solution had yet to be established. It was the intention of this study to find out if teachers are prepared to embrace these ICT resources and how these resources are being used in teaching of mathematics. The purpose of ) this study was to establish the preparedness of mathematics teachers to embrace JCT in the teaching of mathematics in terms of training, perceptions and the use of JCT resources 81.2 Objectives The objectives of this study were; a) To establish the teacher's use of leT resources available for teaching mathematics in secondary schools within Tigania East District; b) To establish teachers' IC'I' training, in readiness for teaching mathematics; c) To establish the mathematics teachers' perceptions towards the use of leT in readiness for mathematics instruction; d) To assess the support structures available for the use of IC'f instructional resources in the selected secondary schools. 1.3 Research Questions The research was set to answer the following research questions; a) To what extent do mathematics teachers use available JeT resources in teaching mathematics? . b) What leT training do teachers of mathematics in Tigania East District possess in readiness for the teacbing of the subject? c) What perceptions do matbematics teachers have towards the use of leT Jl1 mathematics instructions? d) Wbat leT support structures do schools in Tigania East District have that help in teaching mathematics? \ 1.4 Significance of the Study The findings of the study will benefit a number of people in the educational sector. First, tbe study will provide the Ministry of Education and its Quality Assurance and Standard Officers with leT information necessary for organizing in-service training • 9programs for mathematics teachers. Secondly, the research findings will be useful to teacher training institutions for the preparation of appropriate pre-service programs useful for preparing mathematics teachers for teaching using l'CT resources. These institutions will use the information to produce teachers who are equipped with appropriate K'T skills. Moreover, the study's findings will provide additional information to teachers of mathematics, who may use the knowledge on K'T to produce manuals for training other subject teachers in readiness for teaching their subjects using leT skills. Finally, secondary school administration will be guided by the research findings to provide teachers with necessary professional materials for preparing them to teach mathematics effectively using available [eT resources. 1.5 Scope and limitations of the study 1.5.1 Scope This study focused on the selected secondary schools (both private and public) that are within the Tigania East District. Therefore the generalizations made in the conclusions are limited to this district. Secondly, the study only investigated mathematics teachers' preparedness in embracing leT in the teaching of the subject. This is because teachers of other subjects (who are not trained to teach mathematics) may not be in a position to give views on either the teaching and learning of Mathematics or their own subjects. Thirdly, the research was done on the use of leT based on Form 3 classes because in these classes most schools are likely to be covering the normal school . - ) syllabus while the form 4 classes were expected to be engaged in revision. The use of calculators is a requirement in form 3 and 4 classes therefore mathematics 10 teachers in these classes are expected to have knowledge on their use. The observation schedule was therefore administered to the Form 3 classes of the selected schools. 1.5.2 Limitations This study was mainly concerned with the present state of teachers of mathematics preparedness in embracing K'Ts in their instruction in Tigania Eas/ District; the generalizations will therefore be specific to Tigania East District. Although the research was limited to one district, the findings will form basis for research in other areas. Another limitation is on scarcity of resources and time. The researcher however tried to optimize the available resources and plan the available time to ensure the study was done successfully. 1.6 Assumptions of the study The study assumed that schools and teachers would be co-operative to give correct information about the current state of mathematics' teacher preparedness in teaching using IC'I'. Since calculators are a government policy, it was assumed that every mathematics teacher uses them in teaching mathematics and therefore there is a common leT resource in all secondary schools. 1.7 Conceptual framework Teaching and learning of mathematics in secondary schools is generally accepted to be difficult and challenging. Teachers find themselves faced with the challenge of what resources and methodologies to use in order to maintain classroom environments that are as interesting as possible so as to motivate / 11 learners. Preparedness of teachers in the teaching and learning process using leT resources would be required so as transform mathematics education. Use of leT without proper preparation by both teachers and learners is likely to cause confusion, leading to poor performance in mathematics. The outcome of a traditional classroom was seen to have two kinds of expectations; desirable outcomes or undesirable outcomes. Achievement of desirable outcomes such as well motivated students, an interactive classroom environment and overall achievement is paramount to a proper teaching learning process. If teachers or mathematics are properly prepared to use JeT resources, they are likely to come up with new methodologies of instruction which are bound to make the leaning more interesting and exciting. This teacher preparedness depends on; first, teacher training levels both pre-service and in-service. Teachers who have the relevant professional qualifications and l'CT training are likely to be more prepared and enthusiastic about working with lCTs in the classroom. Secondly, teacher preparedness would depend on teacher attitudes towards leTs. Teachers who perceive K'Ts to be good and easy to work with are more likely to use them if they are available. On the other hand, if a teacher has failed in his earlier attempts to use the leTs, he/she is likely to develop negative attitude and shy off from its use. Availability of resources without teacher training and positive attitude may not lead to an improvement in the teacbing methodology. Introduction of JeT therefore requires proper preparation so as to achieve desirable outcome as shown in figure 1.1 12 Figure 1.1 Conceptualized Research Variables for the Study Teacher training levels Teacher attitudes towards ICT Availability of lCT Resources IV KEY: Different levels Classroom environmentof Teacher -----. Leading to IV-Independent Variable DV- Dependent Variable preparedness to Interactive or passive classrooms attitude towards the use oflCT for teaching mathematics. use ICT DV OUTCOME Change in the quality of teaching Change in teaching methodology SOURCE: Consolidated ideas from Bingimlas (2008), Ohara (2004) and Gregoire (1996). The outcome of introducing ICTsinto Mathematics lessons depends on the state of preparedness of the teachers. Further, if the use of lCT is met by intervening factors such as training of teachers prior to teaching and sensitizing them on the use of ICT for teaching, it leads to desirable outcomes. These desirable outcomes include improved teaching, improved learning environment and a positive 13 1.8 Chapter Summary This chapter established a background of the study by illustrating the importance of mathematics as a subject the Kenyan curriculum and hence the need for proper teaching to ensure good performance in the subject. Having laid the foundation and establishing research objectives and the conceptual framework, the next chapter reviewed related literature in relation to the topic. 14 1.9 Operational Defmition of Terms Calculators- electronic hand held device used to compute arithmetic. In this study, the word calculator was used in reference to scientific calculators which are recommended for secondary school students. Embracing- Accepting an idea, a proposal or a set of beliefs and showing enthusiasm towards it. Information Communication and Technology - the use of any equipment or software for processing or transmitting digital information that performs diverse general functions whose options can be specified or programmed by its user Mathematics - a core subject that is offered to all students in Kenyan secondary schools J Preparedness - having right perceptions and training towards the use of ICT in teaching mathematics Perceptions- attitude based on what is observed or thought \Teacher- the term teacher in this thesis was used to refer to the mathematics teacher and not all subject teachers. Where the researcher meant ~ther subject teachers, it is so specified. "I'eacher perceptions- Teachers' attitudes and convictions in relation to the use ofICT. 15 CHAPTER TWO LITERATURE REVIEW 2.0 Introduction This chapter is organized into four sections. The first section reviews literature in relation to influence of technology on instruction, the second describes essence of technologies on mathematics teaching and learning. The third section describes teachers' attitudes and anxieties towards computer and other leT use. The fourth part focuses on Mathematics teachers Preparedness in using leT for teaching mathematics in secondary schools. 2.1 The influence of technology on instruction Research indicates that new technologies such as JeT can make significant contribution to teaching and learning. Gregoire et al (1996) argues that the use of leT in learning stimulates development of intellectual skills, contribute to the ways of learning knowledge, skills and attitudes, although this is dependent on previously acquired knowledge and the type of learning activity. They are known to spur spontaneous interest more than traditional approaches and students using new technologies concentrate more than students in traditional settings. These aspects originating from the use of leT in the teaching and learning process are a sign that leT has a positive effect on the process. Since mathematics has been identified as a key subject whose performance is generally poor despite the much pressure to perform well, these K'Ts would be useful to stimulate the development of intellectual skills among mathematics students and further spur interest for them to learn the subject. 16 Gregoire et al (1996:18) however go on to argue that these positive aspects related to leT use in teaching and learning is dependent on the following significant aspects: First, The benefit of teaching using new technologies is greatly dependent on the technological skills of the teacher and the teacher's attitude towards technology in teaching. Secondly, the skills and attitudes in turn are largely dependent on the training staff has received in this area. These two significant aspects (training and attitude) point out that technology by itself is not a panacea, and that without skilled application by the teacher its benefits may not be realized. As noted by Gregoire et al (1996), the crucial element is the way in which technology is incorporated into pedagogical patterns and this is in turn dependent upon the impact it has on the epistemologies and personal theories of the teachers applying the technology into their classrooms. It is important that teachers learn how to use the available leT resources so asto achieve their teaching objectives. leT can perform a host of tasks in the process of teaching Mathematics. fCT can be used for graphing, producing dynamic images, computing, providing access to data among others. Some of the useful tools for teaching mathematics include graphic calculators, interactive whiteboards, and the internet. The concern however is whether teachers in the local secondary schools can confidently use these tools to help students understand mathematical concepts better and effectively leading to• greater achievements in the subject. 17 2.2 Essence of Technologies in Mathematics Teaching and Learning Introduction of technology in the teaching of mathematics should be done in context. Features of technology, whether mathematics-specific or more generic, should be introduced and illustrated in the context of meaningful content-based activities. This guideline is in accordance with the first recommendation of the President's Committee of Advisors on Science and Technology (PCAST), Panel on Educational Technology (1997): "Focus on learning with technology, not about technology" (p.7). Teaching a set of technology or software-based skills and then trying to find mathematical topics for which they might be useful is comparable to teaching a set of procedural mathematical skills and then giving a collection of "word problems" to solve using the procedures. Such an approach can obscure the purpose of learning and using technology, make mathematics appear as an afterthought, and lead to contrived activities. The use of technology in mathematics teaching is not for the purpose of teaching about technology, but for the purpose of enhancing mathematics teaching and learning with technology. Furthermore, teachers who learn to use technology while exploring relevant mathematics topics are more likely to see its potential benefits and use it in their subsequent teaching. If this guideline is properly followed, technology is expected to improve the teaching of mathematics. Mathematics teachers should prepare their lessons with the available ICT resources • in mind and try to incorporate these resources to enhance their teaching. Computer environments impact positively on student attitudes and affective . responses to instruction in algebra and geometry. In addition to changing the social context associated with traditional instruction, access to computers provides a mechanism for students to discover their own errors, thereby removing the need for 18 a teacher as an outside authority (Kaput, 1989). Students learn more advanced mathematics in less time and with enhanced conceptual understanding in a symbolic- manipulative computer environment (Palmiter, 1986). Computer environments can help students overcome statistical misconceptions because students control the important variables as they watch a sampling process or manipulate histograms. Garofalo et al (2000) details the findings of The Curry Center for Technology and Teacher Education at the University of Virginia which has been developing materials to help pre service secondary mathematics teachers (PSTs) learn to incorporate technology appropriately into their teaching. The focus of the mathematics team was to devise activities that would prepare secondary teachers to use technology to enhance and extend their students' learning of mathematics in exploring how computers can be used to teach Mathematics. They demonstrated that the use of various ICT resources would be used to enhance mathematics teaching in secondary schools. An example is given on the use of spreadsheets, computer software to find minima and maxima areas. An example of using technology to explore multiple representations involves a popular problem in which students find the maximum area for a rectangular pigpen given a fixed amount of fencing. To begin the investigation in our methods course, PSTs are given a handful of square tiles (1unit x 1unit), asked to build all possible rectangular pigpens with a perimeter of 24 units, record the dimensions and resulting• area, and verbalize a possible relationship. As the PSTs note, the maximum area (36 units 2) is obtained with a 6units x 6units pigpen. We then pose the question: "With any given perimeter, does a square pigpen always provide the maximum area?" The spreadsheet in Figure 2.1 allows students to explore this question by systematically L7 varying the length of side X for a fixed perimeter and observing the subsequent numerical, geometrical, and graphical representations. The PSTs also change the value of the perimeter and then vary X to find the associated maximum. Through repeated experimentation within this Microsoft Excel (Microsoft, 2000) environment, PSTs recognize that the value of the parameter X resulting in the maximum area of the rectangle is one fourth of the given perimeter P (e.g., P = 60, X = 15: P = 100, X = 25). PSTs can extend this problem through calculus by using algebraic formulas for perimeter and area, symbolic manipulation, and the first derivative of the equation Area = X ( P - 2 X )/2 with respect to X 20Length of I~ Figure 2.1 Linked multiple representations of the maximum area problem. Source: http://www.citejournal.org/vol1/iss1/currentissues/mathematics/article1.htm This example demonstrates how mathematics teachers can use some computer packages to enhance their teaching. This can be done using other 20 ICT resources such as Television by showing videos, Radios can be used by recording radio lessons and calculators can be used to demonstrate various concepts. Scientific Calculators are a common ICT resource in Kenyan secondary schools as it is a ministry of education policy. Teachers therefore need to be informed on the use and impact of calculators in the teaching process so as to be able to make informed decisions on teaching and learning activities. Based on a survey of his research, Weaver (1981) concl uded that when calculators were used in the variety of ways investigated at that time across a rather wide range of grade levels and content areas, evidence suggested that there is no cause for alarrn or concern about potentially harmful effects associated with calculator use. This is particularly true with respect to computational performance. In a similar study of the long-term effect of young children's use of calculators, Groves and Stacey (1998) came up with these conclusions: first, Students will not become reliant on calculator use at "the expense of their ability to use other methods of computation." Secondly, Students who learn mathematics using calculators have higher mathematics achievement than those who do not use calculator, both on questions where they can choose any tool desired and on mental computation problems. Thirdly, Students who learn mathematics using calculators demonstrate a significantly better understanding of negative numbers, place value in large numbers, and especially decimals. And those students who learn mathematics using calculators perform better at 21 interpreting their answers, especially those with decimals. Since the use of calculators is seen to have all these benefits, calculators can therefore successfully help to introduce basic concepts of algebra and trigonometry through extensive explorations with numerical computations without the fear of impacting negatively on the learner (Demana and Leitzel, J 988). In a study of students using calculators while learning Calculus, Demana (1988) concluded that students using calculators: Sometimes change their solution approaches because of their access to calculators, they are more effective when exploring ideas or solution approaches within a problem context and further, these students are much more likely to check their work by retracing steps. As a result of this, the students using scientific calculators achieve better overall at the same level as students without calculators. Calculators enhance student's (1) use of deductive reasoning, (2) ability to elaborate retrospectively on their strategies, (3) use of specific problem solving techniques to reach successful solutions, and (4) ability to evaluate their progress while solving problems (Kelly, 1985). Calculator-using students outperform non calculator using students on calculator neutral tests (where calculator use is optional on the students' part). Great care and rigor must be used in preparing items for such tests to ensure that the intended mathematical objectives are being assessed. Harvey (1992). Reviewing research on the impact of calculator use in the mathematics classroom, Wheatley (J980) and Shurnway et aJ. (1981) jointly concluded that; Students using calculators experience a far greater nurnber and variety of 22 mathematical concepts and computations while those weak in their recall of basic facts become more successful as problem solvers when given access to calculators. On the other hand, students usmg calculators express more confidence when attacking mathematical problems, exhibit more exploratory behaviors when solving mathematical problems and spend more time on attacking problems and less time on computing. Further, they concluded that Student and teacher attitudes toward mathematics improve when calculator use becomes part of the classroom routine. These benefits to students (who form the basis of teaching) are paramount to the learning of Mathematics. Mathematics teachers who know the benefits of using Calculators would not only advocate for their use but also utilize them in order to ensure that their students learn mathematics effectively. In their survey of 79 research studies, Hembree and Dessart (1986:83) concluded that "At all grades, the use of calculators in concert with traditional mathematics instruction improves the average student's basic skills with practice, both in working exercises and in problem solving. Across all grades and ability levels, students using calculators possess a better attitude toward mathematics and especially better self-concept in mathematics than those students not using calculators". It is clear from previous research findings that use of calculators has a positive impact in the process of teaching mathematics. Students using calculators are able to achieve deeper understanding and analysis of concepts. Students using graphing calculators in a pre-calculus class tend to perform better on critical 23 thinking measures than those students not using calculators. Garofalo et al (2000) in exploring how calculators can be used to teach Mathematics gives an example of a problem in the topic of Trigonometry as given on Table 2.1 Table 2.1: Average Monthly Temperatures Apr May Jun ;Jul Aug Sep Oet Nov 'Dee I i Wash. 54 64 73 ' 77 75 68 57 46 37 DC Verhoy 5 32 54 57 48 36 5 35 53 ansk Buenos 63 55 48 50 52 55 59 66 72 Aries They then plot the data on their graphing calculators and compare the shape of their scatterplots with their descriptions and interpretations. They discuss mathematical models of the data and the general form of the sine function, y = A sine B ( x + C ))+ D . They ask their PSTs to determine a "best fit" sine curve for the Washington data incrementally, by determining one coefficient at a time and graphing the resulting curves. By clicking on the Figure caption one is able to see an animation of an incremental curve fit that first adjusts the amplitude (A ), then the vertical shift ( D ), then the period ( B), and finally the horizontal shift ( C). Figure 2.2 Incremental curve fitting Source: adapted with some changes from 24 ',""""'.. .... ~- .. ,.;1' "'\0,, "~' •• • III •••••••• J . " http://www.citejournal.org/voI1/iss 1/currentissues/mathemat ics/art icle 1.htm This example shows how elaborate a mathematics teacher can be while using ICT resources which enable the learner to understand and visualize concepts more easily. The researcher therefore, found it necessary to find out from Mathematics teachers in Tigania East District if they are prepared to transform the Mathematics classrooms into this kind of environment. The reviewed literature clearly shows that ICT has positive impact on the teaching and learning of mathematics all over the world, since the teaching of the subject is specifically poor in Kenya, teachers should be encouraged to embrace ICT. Computers have been brought forth as a teaching and learning resource that improves students' logical reasoning and proof. Students need experiences with computer simulations, computer spreadsheets, and data analysis programs if they 25 are to improve their understanding of probability and statistics. Kanja C. et al (1999) carried out a study on "The Reform of Mathematics Education in Kenyan Secondary Schools" and found out that; Students perform poorly in the basic concepts of mathematics and that they said the classroom environment is harsh and unfriendly. This kind of perception among students is likely to cause a negative attitude and hence poor performance in mathematics. Students appear to lose interest in the learning of mathematics as they progress through the school system. As a result of this, together with the negative attitude, the performance of students in mathematics at the end of secondary school education is the lowest compared with other subjects in the curriculum. Most secondary school students said that Students do not understand the basic mathematics needed to function effectively in the society. These findings having been established from the Kenyan education system, it is important for mathematics teachers to improve their teaching methodology so as to improve the quality of teaching in mathematics. The incorporation of Information and Communication Technologies (JCT) into the educational curriculum has been promoted as a key step in bridging the digital divide. Despite considerable growth in the numbers of computers acquired by schools in Kenya in recent years and the sacrifices made to finance these, there has been little evaluation of the preparedness of mathematics teachers in embracing the ICT resources. 26 2.3 Teacher Attitudes towards rcr Use The study was also meant to establish the teachers' attitudes towards lCTs. Attitude has been defined as an inclination to act or conviction in relation to something (Gagne, 1985). A positive attitude arises due to previous successful experiences or from a perception that success is possible. The Technology Acceptance Model (TAM) (Davis 1989) suggests that attitudes towards its use directly influence intentions to use the computer and ultimately actual computer use. Davis et al. (1997) demonstrated that an individual's initial attitudes regarding a computer's ease of use and a computer's usefulness influence attitudes towards use and that training significantly improved the computer self- efficacy of all users. Training in this case helps to improve user's attitudes. If the user's find computers to be useful to them, they are likely to develop a positive attitude. It therefore follows that user's who lack training and have not experienced computer's usefulness are likely to have negative attitude. Users with a negative attitude are likely to be suffering from computer anxiety. Computer anxiety can be understood to mean an uneasiness of the mind caused by the apprehension of things going wrong when using computers. Working with computers seem like an area more prone to feelings of anxiety such as irritation, frustration and bewilderment because users have to deal not only with correct use of software but at the same time be faced with technical computer problems (Fajou, 1997). A teacher who lacks knowbow on the use of ICTs is likely to suffer from this \ kind anxiety due to the complex nature of machines. The anxiety further leads to negative attitudes whereby teachers tend to prefer teaching using traditional methods rather than use computers or any other ICT resources. Besides being computer literate, a mathematics teacher would need to know how to tackle the 27 technical computer problems such as connecting the computer to the projector. The lack of such knowledge would lead to loss of confidence and enthusiasm which is what drives a teacher. The lack of confidence and enthusiasm would further imply that the teacher has not embraced lCT resources and he or she is not likely to go out of his way to use the available lCT resources in his school during his mathematics lessons. According to Sieber et al. (1977) computer tasks also place great pressure on users due to the speed in which computers perform tasks that may prove to be overwhelming for those new to computers. "The level of anxiety that is initially evoked by a computer may be somewhat higher than when the same task is presented in a conventional manner" (Sieber et aI, 1977). As a result of this, teachers may prefer to do their work manually rather than use computer or calculators. Computer anxiety is prevalent amongst pre-service and practicing teachers, and many suffer at substantially high levels (Ayersman, 1996). Research suggests that computer experience is negatively related to computer anxiety. As teachers gain experience with computers, anxiety is reduced. But even more critical to computer experience is the pleasantness (Gos, 1996) of these computer experiences, especially one's first encounter with computer technology. Gos Supports the theory of increasing computer experience to decrease computer anxiety. He found that college students with little or no computer experience have more anxiety than those students that have experience. The results of his study revealed that "increased levels of computer experience and balance of weekly computer usage were both related with reduced levels of computer 28 related anxiety". (Glass and Knight 1998) determined those computer anxious students/teachers will become less anxious after an initial trauma period. By working through these fearful or frustrating stage students will gain experience, thus reduce anxiety. It is reasonable to assume that by increasing computer usage thereby experience, one would naturally reduce anxiety. This computer anxiety is the same kind of anxiety that users of other leT resources are likely to face due to lack of experience and appropriate training. Teachers who are afraid of using computer in their teaching are likely to have the same feeling towards other leT resources, this because technological resources such as TV, radio, calculator and digital cameras operate with the kind of speed that might confuse them. It is therefore clear that if mathematics teachers are to use leT in the process of teaching and learning the subject, training and preparation is paramount. This preparation will not only help the teacher as a facilitator but also as a technician. Without this kind of preparation, the teacher is bound to be anxious whenever using leT resources due the fear that it might break down hence disrupting the flow of the lesson. However, if the teacher is well prepared, he/she is able to manipulate the teaching aid to the advantage of the learner. This study was meant to establish the attitudes of mathematics teachers towards leT resources in order to make informed conclusion on their preparedness to embrace leT in their teaching. 2.4 Mathematics Teachers Preparedness in Using leT ( Within the past ten years, leT has become=an-essential part of our learning and development in education. Today it is no longer an option to learn the basic skills 29 of lCT but rather a prerequisite for academic qualifications. According to (Moon 2004a) the rapid development of these new technologies coupled with the world- wide challenge to educate all children has led to a global reform and development of teacher education and motivated educational institutions to redesign and restructure their teaching methods such as to enable students equip themselves for the future. Whether lCTs are the best educational means for all societies is still a current and open debate among educationists and education implementers (Alien et al 2003). However, one point they all agree upon is that lCTs are rapidly spreading globally and whoever does not equip himself/herself with appropriate technologies and the knowledge required to apply them will Jag behind in world development. According to the advocators of lCT use in education the question is no longer "if' ICTs are the best educational means but rather which and how these ICTs can be effectively implemented in education (Moon 2004b). In teachers' professional development, lCTs are seen as essential as they have the task of preparing teacher trainees for their role in modern society. According to a UNESCO 2005 survey, only 35% of already trained teachers in secondary schools in Europe, Asia and Africa, have basic skills in ICT, which leaves the remaining 65% of the teaching work force on the three continents still in need of computer skills. National governments are globally realizing the need to fill the gap in the teaching force and are seeking new strategies and programs to enhance the integration of ICT in education. The incorporation of lCT in teacher training colleges remains the main way to prepare mathematics teachers for their job. 30 UNESCO emphasizes that teachers, professors and technical and administrative staff must be given training that enables them to integrate new information and communication technologies into their teaching programs. As noted in the Mathematical Education of Teachers report CBMS, (2001) Teachers need to understand the fundamental principles that underlie school mathematics, so that they can teach it to diverse groups of students as a coherent, reasoned activity and communicate an appreciation of the elegance and power of the subject. P.7 Although the mathematical needs of teachers depend upon the level at which they intend to teach, substantial knowledge of content is needed by all teachers. For instance, elementary school teachers need a solid understanding of place value and the distributive property to help their students make sense of operations with whole numbers and decimals. High school mathematics teachers need to understand that same content to help students make sense of arithmetic. Listed below are five principles concerning the mathematical preparation of teachers of all grade levels that emerged during this CRAFTY Curriculum Foundations Workshop. 1. Mathematics courses for future teachers should develop "deep understanding" of mathematics, particularly of the mathematics taught in schools at their chosen grade level. 2. Tools for teaching and learning, such as calculators, computers, and physical objects, including manipulatives commonly found in schools, should be available for problem solving in mathematics courses taken by prospective teachers. ·,.YAjA UNIVERSITY LIBRARY 31 3 Mathematics courses for future teachers should provide opportunities for students to learn mathematics using a variety of instructional methods, including the various ICT resources we would like them to use in their teaching. 4. Faculty involved in the preparation of teachers of mathematics should engage in study and discussion of how people learn mathematics. 5. Greater communication and cooperation is necessary among all stakeholders in the mathematics preparation of teachers. The mathematical preparation of future teachers is a complex and often controversial enterprise. The findings however point to the fact that teachers need to be well prepared in tenus of training and mind set so as to deliver the mathematics content effectively. According to data collected by the National Center for Education Statistics, mathematics teacher preparation is the second largest of the specialty areas considered by the Curriculum Foundations Project. Mathematics teacher preparation IS not only a large endeavor but also quite complex. Teacher preparation IS influenced by certification requirements set by the states and recommendations provided by several professional societies. In some states elementary teachers are not required to take any courses on the mathematics they will teach in schools. In others, they are required to take several courses that focus on deepening their understanding of number systems and geometry. In addition, teacher education programs in universities often participate in state or national accreditation processes that also impose specific standards for student learning. Regardless of certification regulations or accreditation expectations, the mathematical requirements of future teachers vary considerably with the level at 32 which the student intends to teach. Elementary teachers are usually prepared to be generalists who take courses in many departments. Consequently, they are required to take relatively few courses in mathematics. In contrast, teachers of high school mathematics are expected to be specialists, and often must complete a full mathematics major. In states where special certification for mathematics teachers of middle grades exists, the mathematical requirements for such teachers are generally between those of future elementary and high school teachers. Teachers are the main agents of change in mathematics teaching and learning process. The impact of ICT in teaching mathematics is no longer debatable; the question that education stakeholders should address is what is being done in the mathematics classrooms using the ICT resources. This leads to the question of how prepared the teachers are in embracing the ICT resources that have been provided. 2.5 Summary In summary, literature has shown that two decades ago, technology was declared by researchers the way to stimulate and develop intellectual skills. Technologies were seen to spur spontaneous interest, which is what every mathematics teacher aims at in their classes. JCTs ranging from calculators, computers, televisions and radios have been availed in secondary schools in Kenya today. Teachers however have been seen to lack confidence and appropriate skills to use these resources to translate the Kenyan mathematics classes into this desirable state. Calculators being a government policy for all secondary school students in Kenya today, is a clear sign that we have embraced the modern technology and 33 now students can spend more time and energy tackling problems rather than on simple computations. The ministry of education in conjunction with TSC has recently brought up a program to help all teachers acquire laptops through hire purchase. No clear policies have however been established to prepare teachers for this inevitable change towards accepting and utilizing technology. This study set out to establish the teacher preparedness in embracing the ICT resources currently available in secondary schools. The next chapter looks at the methodology for the study, focusing at the target population, sampling techniques and research instruments among other methodological areas 34 CHAPTER THREE METHODOLOGY 3.0 Introduction In the preceding two chapters, the groundwork of the study was laid down. This chapter focused on research methodology. Precisely, the chapter describes; the research design, the subjects of the study, the sampling procedure, the research instruments, determination of validity and reliability of the instruments, pilot testing, data collection, data analysis and ethical considerations. 3.1 Research Design The intention of the researcher ill this study was to collect a wide range of opinions on the preparedness of teachers of mathematics towards the use of leT for instruction. The design adopted for this study was descriptive survey. By adopting this design, the subjects were observed making no attempt to change their behavior or conditions. This design was selected since no intervention was done to modify the subject's conditions. The data was expected to be quantitative in nature and therefore was analyzed by use of descriptive statistics. The researcher was interested in establishing the present state of teacher competence in leT and hence to predict the future direction of Kenya's mathematics education. By establishing training levels of mathematics teachers, their attitudes towards leT and their levels of utilizing JeT resources, the researcher was in a position to make informed conclusions about the preparedness of secondary school mathematics teachers 1Il usmg leT for teaching the subject. 35 3.2 Variables In this study, the dependent variable was the preparedness of teachers to use lCTs in teaching mathematics in Tigania East district. The independent variables were the attitudes of teachers towards use of ICTs; the training levels of teachers of mathematics on the use of ICTs in teaching and the availability of ICTs in secondary schools in the locale of the study. An illustration of these variables is shown on figure 3.1 Figure 3.1 Variables Independent Variables I Training qualifications Dependent Variable teachers towards JCT use. Preparedness of teachers to use Attitudes of teachers towards ofICT ICT resources in teaching mathema Availability ofICT resources The arrow used ~) means leading to. In figure 3.1 the independent variables are among a wide range of factors that affect the mathematics' teacher's utilization of ICT during Mathematics lessons in Kenya today. The preparedness of the mathematics teachers to embrace and use JCT in this study was the dependent variable. The independent variables include; teacher qualifications in ICT, attitude of the teachers towards lCT and 36 the availability of leT resources. For a teacher to be confident in using LC'I' resources, he or she needs to have knowledge on what to do with resources. The availability of resources also affects the teacher preparedness; a teacher would need to be exposed to the resources so as to practice its use. Lack of leT resources in a school in this study would imply that the mathematics teachers in that school are not using the resources. It was however important to find out if the available resources were used by the mathematics teachers. If teachers use the resources in their daily teaching, it would imply that they have embraced the resources and this was judged from the enthusiasm they show towards putting the leT resources into use. Teachers' attitude towards the use of leT was considered as another independent variable since individual teacher's personal opinion or perceptions towards leT would give insight on his/her readiness to embrace leT. A positive attitude implied that the teacher appreciates leT as a good tool for teaching and has embraced it. On the other hand, negative attitude would imply that mathematics teachers perceive leT resources as not good and necessary for good quality teaching to take place. Teachers with negative perceptions had not embraced IC'T as a teaching resource so the concept of preparedness may be far from being achieved. Intervention of such circumstances through training of teachers to improve their perceptions and qualifications is essential to improve the teaching of Mathematics. 3.3 Location of the study '--- The study was carried out in Tigania East District of Meru County. The district is approximately 700 square kilometers in size with a total oC29 public secondary 37 schools and I private secondary school. The district's headquarter is located around 25km from Mew towards Maua. This district was chosen because it is a newly formed district from the larger Meru District, in which there is a wave of lCT development in most Secondary schools. Tigania East being a new district, not much research has been done to establish reasons for its poor performance in national examinations. The first KCSE after the formation of the new district was done in 2009, during which the overall KCSE mean for the district was 4.72 while the mean for the mathematics subject was 2.64. During the following year, 2010, the overall district mean was 5.26 while the mean for mathematics was 2.998. From this trend, mathematics in the district is one of the subjects that were below the average mean for the district. Due to this, the researcher. found it necessary to establish what was being done to improve the teaching of mathematics in the district. Stakeholders in secondary schools are working hard to ensure their schools are up to date with technological advancement. Through Iundraising, donations and government programs, most secondary schools have acquired the basic leT requirements such as electricity and generator. Schools. have basic lCT resources such as computers, calculators, radios, television and video machines among others. 3.4 Target Population Nkpa (1997) defines target population as the population to which the researcher hopes to generalize the findings. [1: refers to the entire group of persons or elements that have at least one characteristic in common. The target population for this study comprised of the 100 mathematics teachers from Tigania Easl 38 District. Since schools keep on recruiting new teachers while others retire or go on transfer to otber schools and districts, the study focused on the Mathematics teachers as at January 20] 1, when the data was being collected. The respondents were drawn from a sample of the 30 secondary schools in the District (listed in appendix E). 3.5 Sampling Procedure and sample size 3.5.1 Sampling procedure The sampling of the subjects for this study was done at three levels. The researcher first sampled Tigania East District through purposive sampling: secondly, secondary schools in the district were sampled through simple random sampling and then teachers who provided data for the study were sampled through purposive sampling. Out of the 30 secondary schools in the district, the researcber selected 9 of them for the purpose of the study. Further. all Mathematics teachers in each school wi!l be selected purposively. The intention of the researcher was to get a fair representation of the actual scenario in the target secondary schools. To obtain this fair representation, participants were selected using simple random sampling procedure to obtain the required sample. According to Kothari 2004, the implications of simple random sampling are that it gives each element in the population an equal probability of getting into the sample and further gives each possible sample combination an equal probability of being chosen. 39 3.5.2 Sample size A sample is a finite part of a statistical population whose properties are studied to gain information about the whole (Wcbster, 1985). When dealing with people, it can be defined as a set of respondents (people) selected from a larger population for the purpose of a survey. In this case the sample was got from the teachers in Tigania East District. The sample of 9 schools out of the possible 30 schools is expected to have the required 27 teachers. This was believed to be adequate for the study since the schools are from the same region hence a high degree of homogeneity. To obtain the sample, the researcher used Tippet random tables. The researcher first sampled schools in Tigania East District and then sampled teachers who provided data for the study. 3.6 Research Instruments The researcher used teachers of mathematics questionnaires for the 27 teachers and interview schedule for 9 of the selected mathematics teachers to establish relevant information on teacher's attitudes, teacher qualifications among other factors. These 9 mathematics teachers were each a representative of his/her school. A questionnaire for the school principals was used to complement the information given hy the teachers. Further, an observation schedule was used to examine the kind of leT equipment available in various schools in Tigania East District and how they are used. The researcher therefore obtained quantitative data since the study was non experimental in nature. 40 3.7 Pilot Study Shuttleworth (2010) defines pilot study as, "Pilot study is a standard scienti fie tool for 'soft' research allowing scientists to conduct a preliminary analysis before committing to full-blown study". The piloting tor this study was done in 2 schools in the district but not selected as subjects of the study Simple random sampling by writing the names of the remaining schools and picking two at random was done to avoid bias. The main aim of the pilot study was to refine the research instruments. After this, corrections on the research instruments were done since it is expected to expose unexpected problems. The pilot testing helped to determine the validity and reliability of the research instruments detect ambiguities in the coding system and hence help in the improvement of the research instruments. 3.8 Determination of Validity and Reliability 3.8.1 Validity Measurement errors could anse from faults in the instruments. incorrect interpretations of obtained values or instability in the bchavior of respondents. These errors could be systematic or random. Systematic errors or bias occurs when the errors made in one direction away hum the true score. Random tests on the other hand are attributable to chance factors. In this study the researcher ensured the measurement instruments used measured the true score by; first, testing them on a small group to check for any inconsistencies and errors. After doing this, (pilot testing), the researcher made relevant adjustments, then administered the instruments to the sampled subjects. Secondly, through 41 triangulation, whereby, the researcher used three types of instruments; the questionnaires administered to teachers had their findings verified by the interview schedule. The observation schedule gave findings on what was seen on the ground. The researcher further compared the general responses from the various instruments. 3.8.2 Reliability To test for reliability, the researcher used the internal consistency technique. As indicated by Mugenda in her book on research technique, internal consistency is important in checking the relationship among the testlet scores. Mugenda and Mugenda (1999) notes that "a score obtained in one item is correlated with scores obtained from other items in the instruments. Crombach's Coeffient Alpha is then computed to determine how items correlate among themselves." p.99 This study used the crombach's coefficient Alpha (a) defined as n= r ( « 2)~_ . -L _ L-i=l (T,; ..K 1 - 2\. - Us Where K is the number of components (K-items or test/ets), L aX Represents the variance of the observed total test scores, 2er Y; represents the variance of component i for the current sample of persons. The crombach alpha was used to determine the internal consistency of the 42 research instruments and hence was able to ensure reliability of the research instruments. Alpha can take on any value less than or equal to 1, including negative values, although only positive values make sense. A high coefficient implies that items correlate highly among themselves and there is consistency among the items. After piloting, the reliability coefficient of 0.79 was realized meaning that the instruments had internal consistency and were reliable. 3.9 Data Collection The data was collected by the researcher first by making a visit to the sampled schools in order to familiarize herself with the respondents and to create a rapport. The researcher secondly booked appointments and prepared a programme of activities so as to visit each of the selected schools as planned. All the sampled 79 teachers were given questionnaires by the researcher herself while she interviewed a teacher per sampled school in order to supplement the findings from the questionnaires. This was done during school lunch breaks to ensure that in a period of around two hours, the researcher would collect. the questionnaires. For mathematics teachers who requested Cormore time and those who were absent on the day of the visit, the researcher rescheduled another visit at the convenience of the respondents. The researcher then made arrangements with the form three mathematics teachers through the curriculum master to attend a form three mathematics lesson in order to fill ill the observation schedule in each of the 9 sampled schools. 43 3.10 Data Analysis The study generated both qualitative data and qualitative data. Objective one, two, four and five which sought to establish the available JCT resources in Tigania East district produced quantitative data which was analyzed using descriptive statistics such as frequencies and percentages. The obtained data was presented by using charts and graphs as shown in chapter 4. Objective three which sought to establish teacher perceptions using Iikert scale questionnaires. Tbe data was analyzed using percentages, frequencies and mean with the help of the SPSS computer package as a tool for analyses. These helped in making relevant deductions and conclusions about the state of teacher readiness in embracing ICT for teaching mathematics in Tigania East District. 3.11 Logistical and Ethical Considerations An authorization letter was obtained from the department of Educational Communication and Technology of Kenyatta University as well as permission sought from the ministry of Education to conduct the research in Tigania East District. Permission was also sought from the head teachers of the sampled schools to allow the research to be conducted in their schools. Before administering the instruments, the researcher talked to the teachers and students who were to be involved to create a rapport. The information collected was kept confidential and used only for the purposes of the study . . . 44 3.12 Summary This study focused on the secondary school mathematics teachers of Tigania East District. Since teachers operate in schools, the researcher first sampled 9 secondary schools from which the respondents were obtained. Data was collected by use of questionnaires, interview schedule and observation schedule. The data obtained was analyzed and discussed in the following chapter four. 45 CHAPTER FOUR DATA ANALYSIS, PRESENTATION & D1SCUSSION 4.0 Introduction This chapter analyses and discusses the responses made by the Mathematics teachers in Tigania East District, the secondary schools principals in the district and the observations made by the researcher on the preparedness of secondary school mathematics teachers in using lC'T for teaching Mathematics. The first section, 4.1 shows the availability of IC'I' resources and the extent to which teachers use them. The second section, 4.2 deals with IC'I' training levels of teachers. The data obtained relates to the professional and K'T qualifications of the Mathematics teachers in the district. The third section, 4.3 shows teacher perceptions. It presents the research findings in terms of what teachers think and believe is brought about when leT is used in teaching Mathematics lessons. The fourth section, 4.4 looks at the available support structures ill Tigania East for teaching mathematics. The fifth section, 4.5 looks the type of induction courses available for teachers of mathematics. It further looks at the challenges facing the use of leT in teaching mathematics. Section 4.6 addresses the preparedness of mathematics teachers to use leT. 4.1 Availability and use of leT resources for teaching Mathematics The objective one of this study sought to find out the mathematics leachers utilization of available leT resources in their schools. To fulfill this objective, the study first established the available leT resources. This was done through the questionnaire and later verified by use of the observation schedule. Secondly, the !. 46 researcher went ahead to find out if and how the resources found in the secondary schools were being used in the teaching process. This was also sort through the questionnaires and the observation schedule. The researcher also interviewed one mathematics teacher in each of the sampled schools to supplement the findings from the questionnaires and the observation schedule. Figure 4.1 shows the findings that the researcher obtained from the secondary schools of Tigania East District, with regard to availability of various ICT resources. Table 4.1: A summary of the Available ICT Resources in Secondary Schools ICT RESOURCE Percentage Percentage of Schools using Schools with ICT resources resources Computers and printers 66.7 33.3 Television and video 55.6 0 Radio 55.6 0 Calculators 100 88.9 Among the observed secondary schools, 6 secondary schools out of the sampled 9, that is 66.7% were found to have computers. Among these 6 schools that have computers, 3 of them (33.3% of the schools) have computers that are shared in a class of 40 students in the ratio of 1:3 students for every computer. Others have 1 or 2 computers which are mostly used for office uses. The availability of computers in these schools is shown on figure 4.1 47 Figure 4.1 : Availability of Computers in Secondary Schools. Availability of Computers Utilization of Computer and Printers Having seen that 66.7% of secondary schools had computers, the researcher went ahead to establish how this resource is used. Out of the teachers who filled the questionnaires, only 25.9% use computers frequently for general use. This includes printing assignments, typing exams and recording student's results. Teachers reported to use word processing frequently are 11.1% of all the respondents. Other computer packages such as spreadsheets, PowerPoint, graphical presentation among others are not used at all by secondary school mathematics teachers. Some other smaller percentage 3.7% uses the intemet for references and source information. 48 Table 4.2: Computer uses by the mathematics teachers. COMPUTER PACKAGE PERCENTAGE Computer for general use 25.9% Word processing 11.1% Internet 3.7% Spreadsheets 0% Power point 0% Graphical presentation 0% Multimedia 0% Simulations 0% This kind of scenario is interpreted to mean that despite a relatively high percentage of schools having computers, mathematics teachers do not maximize the use computers to enhance their teaching. The computer is a rich teaching resource that can be used in almost every area in the teaching of mathematics. Computer packages such as graphical presentations would be useful in the topics such as Trigonometry (ii) taught in Form Three class. In this topic, the teachers could demonstrate the Cosine, Sine and Tangent curves, while studcnls observe. Further, in the topic of graphic solutions the teacher would demonstrate how solutions of simultaneous equations are obtained. A learner is enabled to visualize the roots of equations as well as maxima and minima points in a curve. Simulations on the other hand would be useful in topics such as 3 Dimensional Geometry. The teacher would demonstrate various planes, angle between planes and also show skew lines. From the number line, the teacher would use 49 simulations to show the operations on various numbers hence enhancing better understanding. The intemet is a rich source of information which every teacher should use hand in hand with the classroom textbook. It not only provides additional information to the teacher but may also serve as a source of evaluation material that is useful in assessing the students' progress. Radio is another JeT resource that was found in secondary schools in Tigania East District. Figure 4.2 shows the findings Figure 4.2: Avaiiability of radios in the secondary schools. Availability of Radios The research established that 55.6% of secondary schools have radios while the remaining 44.4% did not have this resource. However these radios are only used by clubs for entertainment. No mathematics teacher uses radio lessons or even recorded lessons in teaching the subject. The students in these schools use the radios during • weekends for listening to music and preparing presentations during school functions. The mathematics teachers would utilize this resource to explain various concepts 50 through radio lessons. This can be done through the use of radio stations or taped lessons which the teacher can record and have students listen to when they are not in class. Similarly, the research found out that 55.6% of secondary schools had television and video or DVD, while 44.4% did not have. It also established that mathematics teachers do not use the TV as a teaching resource. In fact teachers did not know if and how the TV would be used as a teaching resource. On being asked a question (from the interview schedule) which areas in mathematics would you use the TV, all teachers seemed unsure and responded "I don't know". Although 55.6% of secondary schools have television and video or DVD/VCD these are used for entertainment mostly during weekends. Some schools allow students to watch news or some music during meals. It was clear from research however, that mathematics teachers do not view this resource as a teaching resource in the subject. The most common resource that was found in every school was calculator. All the secondary schools which are 9 out of the sampled 9 schools (100%) in the district have calculators for teachers and most individual students in Form 3 classes (99%) had a calculator for use during Mathematics lessons. Some schools however have not bought calculators for their teachers rather those teachers have bought their own personal calculators which they use for mathematics lessons. Since calculators were made a government policy it became a requirement for all schools. In the topic of approximation and use of calculators in form 3 mathematics, the learner is required to be able to "State the functions of the features of a calculator, and use calculator in 'various computations" KIE Mathematics syllabus. The researcher sought to know how many calculators each of the sampled schools had and who provided the 51 calculators for students and teachers. It was observed that 8 out of the 9 sampled schools (88.9%) bought calculators for their mathematics teachers but students had their calculators provided by parents. During the observation of mathematics lessons, the researcher observed that the teacher activity using a calculator was mainly demonstration and computations while the students also used the calculators for their computations. Although some schools that had not bought calculators for I' their mathematics teachers, the teachers bought their own or borrowed a calculator from students during the mathematics lessons. The availability of this device however, did not seem to change the classroom environment since teachers and students viewed it as a gadget to simplify computations. The Garofalo et al (2000) gives an illustration of how a graphic calculator can be used to generate curves of a given sine function. These kind of activities were lacking in secondary schools of Tigania East District The objective one of this study sought to find out the mathematics teachers utilization of available leT resources in their schools. Having realized that 66.7% of schools had computers but only 25.9% of the mathematics teachers used tile computers implies that there is a problem that needs to be addressed. On prohing the teachers further on what the 25.9% using computers did with the resource, it was found that they used computers only for general purposes. Mathematics teachers did not use the computers for simulations, graphical presentations internet in their. teaching. These teachers did not know what these computer packages were and how they could be used in the teaching of mathematics. Despite there being 55.6% of . schools with television and video, no teacher used them for teaching mathematics. Teachers viewed this resource as one for student's entertainment during their leisure 52 time. Radios were also available but no mathematics teacher was seen to be using it for teaching. Access to equipment, both hardware and software is critical to the successful use of lCT resources in education. Pollard (2005) argues that the quality of learning is directly affected by adequate provision of resources. We cannot look at teacher preparedness to use lCT without addressing the availability of resources. The mathematics teachers can only be said to be prepared to embrace lCT if the resource is available and the teacher can explore its usefulness. It is expected that there is a basic lCT resource common in every school; however some schools had a variety of resources which could help to improve the teaching of mathematics. As Van Damme (2003) states that lCT which IS the acronym for information and communication technology can be defined as: "combination of computer, video and telecommunication technologies, as observed in the use of multimedia computers and networks and also services which are based on them. These are the sort of resources the study set out to look for in various secondary schools in Tigania East District. Van Damme, defines lCT resources that can be used for teaching as all multimedia this differs with the findings of this study as it is noticed from the data obtained through the study that teachers do not consider resources such as radio and TV as lCT resources that can enhance their teaching. In a broad perspective, ICT encompasses all multimedia including mobile phones. The. choice of what to use for teaching and how to do it depends on the teacher's knowhow and attitude. According to a study by Cameroon Richards in 2005 on 'teacher's use oflCT, 53 Despite an often instinctive skepticism, many teachers have a general awareness that the Internet offers a rich source of potential learning resources, that multimedia tools and design can make interesting, impressive, and interactive tools of learning, and that many of their colleagues are finding ways of harnessing the learning possibilities of ICTs in unique contexts. Even an ICT- resistant "traditional" teacher cannot deny that the World Wide Web (WWW) houses endless and ever-current information on all manner of topics, and that multimedia CD-ROMs are at the very least useful for skills-based tutorials or for making information links more attractive. http://ll t.msu.edu/voI9nwn 1/richards/. This shows that teachers are aware that mathematics teaching can be done better with the aid of various lCT resources but as seen in this study, they do not use the resources exhaustively. Despite the availability of radios, Televisions and Computers, the mathematics lessona observed were devoid of any such material as teachers only use chalk and talk methods. Those teachers that used computers only did so in typing and printing assignments. The use of computer to enhance the lessons as illustrated by Garofalo et al (2000) at the University of Virginia, where students were developing materials for teaching mathematics in secondary schools, was not present in Tigania East District. The study concluded that the available resources need to be maximized to improve the teaching of mathematics. This could help to solve the problem of poor teaching of Mathematics and hence create a better learning environment. 4.2 Teacher training levels The study set out to establish the professional qualifications of mathematics teachers and their ICT training in relation to information technology. This was used to meet the second objective of study which was "to establish teachers' ICT 54 training in readiness for teaching mathematics". The findings were as shown on figure 4.3 and 4.4 Figure 4.3: Academic qualifications ofthe mathematics teachers. QUALIFICATION OF TEACHERS 45 P 40 -i-- ---- ----- E 35 R 30 +------ _ C 25 +----------- E 20 N 15 i T 10-1 A 5 G 0-+ E S KCSE DIPLOMA DEGREE IN DEGREE IN MASTERS EDUCATION OTHER QUALIFICATIONS FIELDS Teachers entrusted with the duty to teach mathematics in secondary schools in Tigania East District have the academic qualifications shown in the bar graph on chart 4.3. It was noticed that most secondary school mathematics teachers 41% have a Bachelors degree in education while another group 22% have diploma in education. Another smaller group of teachers (11%) have or are in the process of pursuing a Masters degree. Of mathematics teachers in secondary schools in Tigania East District 22% were not trained to teach the subject. It implies that the aspects of teaching Mathematics using various leT resources can only be done by 74% of the teachers since untrained teachers lacked knowhow on the relevant use of resources, • in relation to teaching methodology. These untrained teachers are not professionally 55 trained to teach mathematics, this implies that providing them with necessary ICT resources is unlikely to change their teaching style and methodology. The study further looked at the ICT qualifications of mathematics teachers in the district and the findings were as shown on figure 4.4 Figure 4.4: ICT Qualifications ofthe Mathematics Teachers ICTQUAlIFATIONS P E R C E N T A G E S 60 50 •... 40 - 30 1--- 20 f--- 10 - 0 -- -- -- It was further observed that some 66.9% of mathematics teachers have some sort of training in the use oflCT. The remaining 33.3% have no training related to the use ofICT. The ICT training ranged from a certificate in computer packages Certificate in Diploma in IT degree in IT Any other ICT None IT training QUALI FICATIONS (which is what most ofthe teachers- 51.9% had) to a diploma in IT. To establish teacher preparedness, the study sought to find out the type of J induction courses available for mathematics teachers to use JeT in the teaching mathematics. The mathematics teachers were asked if they had undergone any training to enable them use calculators for teaching mathematics. The findings were that 100% of the respondents said they had not been trained so they faced 56 ) problems such as explaining the functions of various keys on the calculators and calculators were breaking down easily due to mishandling by the students. Further, this research found out that 50% of teachers who are in schools that have ICT resources such as computers had no idea what to do in using the available resources during mathematics lessons. It was alarming to learn that due to the high shortage of teachers, 22% of the sampled mathematics teachers is taught by form four leavers who only hold KCSE certificates. These teachers have no professional training on any teaching methodology so the use of ICT as a teaching resource is not even considered. The lack of academic training limits their flexibility to emerging issues, as Makau (l989) notes " ...education disposes the beneficiary to readily adopt to change... hence academic qualifications are a facilitating factor in the implementation of any education program" p.68. This explains the high percentage of teachers not using the available ICT resources as observed in table 4.1. It is clear that some teachers not only lack ICT related training but also lack professional training. On further inquiry it was e tablished that 90% of the mathematics teachers who had a certificate in computer packages used computers for general purposes such as typing assignments, referring to internet for information and databases. It was noticed that those teachers with some sort of IT training were more likely to use ICT resources. Teachers with no IT training at all seemed to shy off from the use of any ICT resources. These teachers lacked the knowhow on what to do with the available resources. This is because they received no related training in pre service training and after joining the service, they were not trained appropriately. The researcher 57 sought to know if teachers were inducted into the use of calculators but 100% mathematics teachers said that they only received circular requiring form 3 students to buy calculators. This resource was found to be frequently used in mathematics lessons. During the lesson observation, the researcher observed that the calculator was used by both the teachers and students for computation purposes. It is only in the Form three topic of 'Approximation and use of calculator' where teachers used demonstration method to show learners the functions of various keys of the calculator. Even in the schools that had enough computers, teachers only typed exams and used it to store important information such as the students' marks. Generally, no teacher used the resources for delivery of content or simulations. According to the recommendations of The CRAFTY Curriculum Foundations Workshop in preparation of teachers "Mathematics courses for future teachers should provide opportunities for teacher trainees to learn mathematics using a variety of instructional methods, including the various ICT resources we would like them to use in their teaching." This was clearly not done when calculators were introduced. Mathematics teachers in Tigania East District were not given the opportunity to learn how calculators and other ICTs would be used to enhance the teaching of mathematics. The CRAFTY Curriculum Foundations Workshop also recommended that the Faculty involved in the preparation of teachers of mathematics should engage in study and discussion of how people learn mathematics. In preparing teachers to teach mathematics, the concept on how students learn mathematics would help the teacher to understand his/her students and hence be well placed to choose the appropriate teaching methods and resources for various topics. This was 58 observed to be lacking among mathematics teachers of Tigania East District. Teachers wished to be educated on which leT resources would be suitable for some topics that seem complicated to learners. It was noted that even teachers who are professionally trained had no training on how to apply fC'T resources in their day to day teaching of mathematics. This confirms the argument of the Koech report of 1999 on Total Quality Education and Training (TQET) that Although the content of teacher education in Kenya is fairly adequate, it is deficient in a number of areas, and would need to be revised with the view of revamping it and expanding it to address recently emerging issues such as computer science, information technology and the recent developments in communication technology It therefore would be necessary to revise the teacher training curriculum so that mathematics teachers are trained on how to use calculators and other leT resources in their daily teaching. Proper training in the use of leT would be the starting point in preparing teachers to use leT in teaching mathematics. 4.3 Teacher perceptions towards the use of I'CT. The third objective of this study was to "to establish the mathematics teachers' perceptions towards the use of leT in readiness for mathematics instruction." So as to find out the perceptions of mathematics teachers in relation to the use of IC'I', the researcher asked teachers what they felt was the outcome of using leT in relation to the following aspects; i. Making the mathematics lessons more interesting 11. Deeper understanding of mathematical concepts Ill. Arousing learners interest 59 IV. Creating an interactive classroom environment v. Faster syllabus coverage VI. Better use of allocated time The respondents were supposed to choose from SA for strongly agree, A for agree, DK for don't know, D for disagree and SD for strongly disagree. The SA and A responses were categorized together as positive responses, SD and D responses were categorized as negative responses as they are not in favour of using ICT while DK responses were seen to be neutral as they are neither in favour of nor against the use of ICT. The findings were represented in the bar graph shown on Figure 4.5 Figure 4.5: The Teacher Perceptions In Relation To ICT Use Teacher perceptions in relation to ICl use plOD e a 80 c e n 60 40 g e s 20 o E FBA c teacher perceptions KEY; A= More interesting lessons B=Deeper understanding of concepts C=Aroused interest D=lnteractive environment E=Fastercoverage of syllabus F=Better use of allocated time green rep positive responses blue rep negative responses purple rep neutral responses The sampled mathematics teachers seemed to be in agreement that the use of ICT in 60 teaching mathematics led to a more interesting mathematics lesson, this is implied from the percentage of teachers (100%) who responded in favour i.e. Strongly Agree or Agree. Teachers further agree that the use of leT brings about a deeper understanding of concepts, 96.3% of the teachers agreed that leT leads to aroused interest among learners while a smaller percentage of teachers 3.7% did not respond for or against. These teachers said they did not know whether use of leT could bring about a deeper understanding of concepts. On creating an interactive classroom environment, 89% of the teachers were positive that l'C'T would improve interaction among learners while a minority 3.7% did not know if the leT resources had a positive or negative effect on the interaction. There seemed to be the general agreement that the use of IC]' motivates learners and arouses interest concurring with Lafferie et all (1999) observed that leT in schools and classrooms tends to attract school learner's interest and motivation. Although it is assumed that computer supports teaching-learning process and the use of fC'T has suddenly emerged, but the concept of leT in curriculum is still very new and this term is poorly understood. According to Lafferiere the concept of leT is still new and is poorly understood, this concurs with the scenario among teachers in Tigania East District. The teachers seemed to be in agreement that the use of [eT is a new concept to them so most were nbt competent in using these resources. In fact it was noted that even those teachers who did not use leT resources believed that its use had positive impact on the teaching of mathematics. Teachers were divided on the issue of syllabus coverage as 37% of mathematics teachers felt that the leT use leads to a faster coverage of syllabus while another 61 37% disagreed. The remammg 26% admitted that SInce they did not use the resources, they could not tell if leT led to faster coverage of syllabus or not. A similar response was found in respect to use of allocated time. 33% of the mathematics teachers were in favour 'of better use of allocated time', while another37% was against it. 30% of the teachers said they did not know whether it led to better use of lesson time or not. On further interrogation the teachers said that at times, the use such resources was time consuming and tended to slow down syllabus coverage and make planning for the available time difficult. Since the percentage of teachers that agreed with the idea that fC'I' leads to better use of time was less than the percentage of those who did not, the study concluded that teachers in Tigania East District have a negative attitude towards leT use in relation to syllabus coverage. This is in line with Makau's findings in his paper on a previous leT program in Kenyan schools. Makau (1989) observed that "Pressure is exerted to the teacher to complete the syllabus timely. . ... the teacher therefore orients his teaching towards strategies that will allow timely syllabus completion, no matter how good technologies that delay such goals can be" (pI8) Teachers with many lessons in a single day found it hard to plan and use these resources during each mathematics lesson. This brings about the argument that if teachers are already overwhelmed by their work, it would make it hard to have time fo explore on the applicability of fC'I' in the teaching of mathematics. The amount of work notwithstanding, proper preparation of teachers would help them to cover the required work effectively as well as use the available IC']' resources to improve their 62 teaching. This preparation can be in terms of professional training, IC'T training, and in-services that are K'T related. Generally, teachers in Tigania East District have a positive attitude towards K'T. This means that the teachers are willing to embrace the leT resources in their teaching of mathematics. The fact that teachers perceive leT as a positive add-on to the teaching of mathematics but were seen not to put the available into maximum use (as concluded from figure 4.1) implies that these teachers have not yet embraced the leT resources in their teaching. These teachers seem to lack enthusiasm in using the leT resources although they perceive it to be a positive aspect. 4.4 Support Structures The fourth objective of this study was "to assess support structures available in the use of IC'f instructional resources in the studied secondary schools". To establish this, the researcher considered the availability of power, intemet and in-service courses for teachers. The research found out that out of the sampled schools, 66.9% had electricity. This is a big percentage for a district which is newly formed. It was noticed that 33% of these schools that have electricity also have a generator incase of power blackouts. With the availability of electricity, most schools can acquire and use resources such as computers, radios, television and video. This is because most leT resources require power to operate. Some of the schools that were found not to have electricity are in the process of acquiring it through the rural electrification program which is aimed at supplying electricity to secondary schools, factories and market centers. The availability of electricity is the first step towards embracing leT 63 in schools. This is because presence of resources in a school that has no electricity would be of no use to the teaching process. Further, another 22% of the schools have internet connectivity either using a modem or open network. This means teachers in these particular schools can use intemet at will to get information. The researcher sought from secondary school principals what in-service programs their mathematics teachers were exposed to. 66.9% of principals responded that their mathematics teachers had attended a workshop on Strengthening of Mathematics and Sciences in Secondary Schools (SMASSE) while another 33% said that their teachers had gone to various workshops organized by private and ministry officers such as SKIDNET Kenya. It was established that a big number of schools have insufficient trained mathematics teachers so they employ form four leavers who have no professional training and no in-service training at all. This trend shows that teachers are not prepared to embrace leT since their schools lack necessary support structures to embrace the leT resources available in teaching mathematics. Further, the researcher concluded that teachers in Tigania East District not only lack leT training but some even lack professional training since untrained teachers mostly form four leavers were given the immense responsibility of teaching mathematics. 4.5 Barriers to the use of leT resources Respondents were asked to tick which of the following factors are a barrier to them in the process of teaching mathematics by use of l'CT resources. The number of teachers who chose each factor was tabulated and percentages indicated in the boxes. Table 4.3: Teacher responses on barriers they face during their teaching using fCf 64 Barrier faced not a barrier Not known Minor Major Not enough or 44.4% 18.5% 37.04% limited access to computer hardware other resources Electricity 66.7% 33.3% Time in 18.5% 81.5% school schedule for projects involving leT Technical support for 7.4% 11% 3.7% 77.8% leT Projects Knowledge 18.5% 7.4% 77.8% about ways to integrate to enhance curriculum leT integration is 14.8% 11% 81.5% not a school priority Finding 40.7% 7.4% 51.8% substitutes 111 order for teachers to attend training Students access to 3.7% 96.3% necessary technology at home Teachers access to the 40.7% 7.4% 51.8% necessary technology home It is observed that only 37.04% of the respondents felt that 'inadequate resources' was a major barrier while another 33.3% also felt that electricity is a 65 major barrier towards teaching using leT. Since this percentage that finds their constrains more as coming from availability of resources and support structures is below 50% ,we may conclude that the problem is not due to unavailability. Secondly, 'insufficient time' in the school schedule for the projects involving K'T was mentioned by 81.5% of teachers in Tigania East district as a major barrier. This means that secondary schools do not support projects involving leT. It is noted that school administrators are more interested in the school routine and pay less attention to new technology. Thirdly, it is clear that teachers lack knowledge on how to incorporate K'T resources in their mathematics lessons. A big percentage (77.8%) categorized this as a major barrier in their teaching using leT resources. When teachers were asked about the induction courses they have been exposed to, it was found that out of the interviewed teachers 84.4% have not even attended a workshop in their teaching career. Furthermore, since the introduction of calculators, teachers have never been trained on what is expected of them as they use the calculators, all the respondents said they had no training so they only use the manufacturer's manual to explore the available options in using various keys Oh the calculators. Another major barrier mentioned by teachers is difficulties in integrating and using different fC'T tools in a lesson. Teachers who have been trained and are used to teaching using other resources now find the presence of leT resources in class as an interruption and they are not certain which position to give them. Students tend to play around with calculators while the teacher is introducing a new concept and this makes it hard for the teachers to control the class. Teachers 66 of mathematics therefore need to be trained/inducted on the use of calculators and other available resources so that they can use them effectively. 4.6 Summary on Preparedness of teachers to embrace leT Preparedness of teachers to leT in teaching Mathematics in Tigania East District is implied from the above findings. In 4.1, the study established that schools in the district had a variety of resources but teachers were mostly seen to avoid these resources in their teaching. Teachers rather preferred to teach using traditional methods which mostly are chalk and talk. On taking a look at the teacher's perceptions and attitudes towards IC'I', it was observed that teachers portrayed a positive attitude and they seemed to view IC'I' as a solution to their teaching problems. How then is it possible that they do not apply the available resources to improve their teaching? The response to this question is seen partly from the table 4.4 and from some direct questions asked by the researcher through the interview schedule. Teachers felt incompetent to use these resources and hence shying away from using them. Some teachers complained of calculators breaking down easily hence destructing their teaching. On being asked whether they had received any leT related training, these mathematics teachers said they lacked this kind of exposure and would desire regular training to keep up with the changing times. The following chapter five gives a summary of the findings, conclusion and recommendation for further study. 67 CHAPTER FIVE SUMMARY, CONCLUSIONS AND RECOMMENDATIONS 5.0 Introduction This study documents the use of leT for teaching mathematics in Tigania East District in relation to availability and teacher preparedness. The study also looked at how the available leT resources are used and barriers that hinder teachers from using these available leT resources. The chapter gives a summary of the findings, conclusions, reconunendations and suggestions for further studies. 5.1 Summary of the findings 5.1.1 Availability of ICT resources This study observed the following: First, all secondary schools in Tigania East district have some SOli of leT resource, calculators being the basic leT resource in each secondary school. Since the introduction of calculators in secondary school mathematics curriculum, schools administrations have embarked on a supportive mission on provision of calculators to their teachers. Students on the other hand have had their parents buy for them calculators. Generally therefore all secondary school mathematics teachers have access to this leT resource and can use it for teaching of the subject. Secondly, more than 50% of secondary schools in the district have electricity. Other secondary schools which do not have electricity have a plan or are in the process of acquiring it through the rural electrification program. The presence of 68 electricity makes it easy for schools to use JCT resources such as computers, printers, television, radio and projectors among others. This is because lack of power is a major limiting factor as these resources cannot operate without it. In addition, 66.7% of secondary schools have computers and printers which are either bought by the schools or provided by donors. Out of the schools with computers, only 33.3% have a centralized room where teachers can take students and present a lesson with students sharing computers such that each can access a screen. On average the school with many computers has a sharing ratio of 1:3. In other schools, computers are few and mostly reserved for office purposes. Finally, other lCT resources such as television, video and radio are available in almost all secondary schools that have electricity. In all the schools that were found to have this resource, the quantities were 1 or 2 per school since they were meant for entertainment and not as a teaching or learning resource. 5.1.2 Utilization of resources In the case of calculators, although mathematics teachers said it can be used in a variety of topics such as statistics, trigonometry, binomial expansion among others, in real practical sense they do not use them for teaching. Having observed several lessons in various schools, it was established that the calculators were only reserved for computations except for the topic of "errors and use of calculators" which is taught at form 3 level. During this topic, the mathematics teacher demonstrates the functions of various keys on the calculator as learners practice. Once this topic has been taught, the teacher rarely carries a calculator to class. 69 Secondly, mathematics teachers said that a computer is a vital resource in teaching of mathematics in topics such as 3-dimensional geometry, statistics, and geometrical constructions where they proposed the use of computer simulations to help in better understanding concepts. However, on further questioning, teachers admitted that they do not use computers in their teaching mainly because it is not a priority. They felt it would require more time and the preparation for the lesson would also be hectic. Thirdly, mathematics teachers seem to be aware that internet is a source of vital information and lesson content but they do not often refer to. They claimed that the content from the text book is not even sufficiently covered within the available time. Fourthly, the availability of television, video and radio does not seem to appeal the mathematics teachers in terms of utilization in mathematics lessons. The mathematics teachers agree that the television and video can be used in the presentation of recorded lessons in areas that seem to challenge students such as geometrical constructions. However, the teachers do not use either of these resources in their teaching of mathematics. 5.1.3 Professional and academic qualification of the respondents. With regard to professional qualifications, the researcher found out that 63% of the mathematics teachers in the district had been trained to teach mathematics either at degree level or diploma level. A further 11% of the mathematics 70 teachers have gone ahead to pursue Masters Degrees in vanous fields. This category of mathematics teachers is well equipped to handle any mathematics concepts and also can present their lesson in an organized way. Another 26% is that of untrained mathematics teachers. Secondary schools in Tigania East district seem to be understaffed in terms of mathematics teachers so they employ any available teacher. This includes those with degree in other areas and form four leavers. A big percentage of those teachers handling the subject are KCSE certificate holders. Such a teacher is not qualified in terms of methodology of teaching and even in terms of content. It was observed that these teachers only read the text book content and transfer it without the use of any resources. These teachers further do not spend time experimenting with resources, rather they present their lessons by lecture and demonstration methods. 5.1.4 Mathematics teachers' qualifications in relation to leT The study observed that the mathematics teachers lacked proper training in the use of ICT. It was observed that in the course of teacher training for both diploma and degree holders for mathematics teachers, the teachers were not exposed to training in the use of ICT as a teaching resource in the subject. Teachers with degree and diplomas found to have some sort of ICT training had attended computer colleges on their own for personal reasons other than the use for teaching. These teachers have certificate in computer packages and a few have diploma in information technology. 71 Among the mathematics teachers, who lacked professional training, 47% had some K'T qualifications such as certificate in computer packages and others have diploma in information technology. However, having fCT qualification but lacking professional training does not help in lesson delivery due to lack of methodology. 5.1.5 Teacher perceptions in use of I'C'I' The study observed that mathematics teachers had a general positive attitude that the use of leT resources helps to improve classroom environment during mathematics lessons. They seem to be in agreement that the use of leT during mathematics lessons improves the learning environment, learners' interest and level of understanding. The teachers however had different views in terms of lesson coverage and time spent. A 37% of teachers felt that the presence of leT resources required more time to deliver a concept and that it slowed down the teachers pace in the lesson coverage. However since the response was over 50% in favor of leT in terms of syllabus coverage and proper utilization of time. The researcher concluded that the mathematics teachers in Tigania East district have a positive perception towards the use of leT in mathematics lessons. 72 5.1.6 Availability of induction courses The study observed that besides the lack of a good leT training program in diploma and degree courses in the Kenyan colleges and universities, there is a further shortage of in-service programs in the same area. The study revealed that there is shortage in K'T training courses even after teachers have left colleges. The introduction of calculators in secondary school curriculum was not preceded by any form of training for the teachers on how to use the teaching resource. Teachers who attended the SMASSE program successfully and went through the four cycle program said that there was nothing to learn on the application of ICl' in their teaching. In addition, the few workshops mathematics teachers attend are mostly based on the performance of students in national exams and rarely are they based on teaching methodology. 5.1.7 Barriers to using I'C'I' in the teaching of mathematics It is observed that only 37.4% of the interviewed teachers felt that lack of access to adequate resources was a major barrier. Another 33.3% also felt that lack of electricity is a major barrier. The percentage of teachers that finds their constraints more as coming from availability of resources and support structures is below 50%, it therefore may be concluded that the problem is not due to unavailability. Secondly, insufficient time in the school schedule for the projects involving leT was mentioned by most teachers in Tigania East district as a major barrier. This 73 means that secondary schools do not support projects involving ICT. It is noted that school administrators are more interested in the school routine and pay less attention to new technology. Thirdly, it is clear that teachers lack knowledge on how to incorporate leT resources in their mathematics lessons. This was seen from the large percentage (77.8%) that responded that "lack of knowledge" is a major barrier in their teaching using l'C'I' resources. Teachers have not been exposed to any induction courses. In the use of calculators, teachers said they had no training, so they only use the manufacturer's manual to explore the available options in using various keys on the calculators. Another major barrier mentioned by teachers is difficulties in integrating and using different leT tools in a lesson. Teachers who have been trained and are used to teaching using other resources now find the presence of K'T resources in class as an interruption and they are not certain which position to give them. Students tend to play around with calculators while the teacher is introducing a new concept and this makes it hard for the teachers to control the class. These were the sentiments from the interviewed teachers. On being probed on what they would they said that they should have been inducted on the essence of calculators in the form 3 and 4 classes at the beginning. However, all is not lost as they can be trained at this point in view to the various ICT resources currently in their schools. Teachers of mathematics therefore need to be trained/inducted on the use of calculators and other available resources through INSETs so that they can use them effectively. 74 5.1.8 Mathematics teachers Preparedness to embrace lCT Preparedness of teachers to embrace K'T in teaching Mathematics in Tigania East District is implied from the above findings. The study established that schools in the district had a variety of resources but teachers were mostly seen to avoid these resources in their teaching. On considering the teacher's perceptions and attitudes towards leT, it was seen that teachers portrayed a positive attitude and they seemed to view K'T as a solution to their teaching problems. Teachers felt incompetent to use these resources and hence shying away from using them. They said they did not receive any training when calculators were introduced so they viewed the calculator as a tool for computation rather than for teaching. Television and radio on the other hand were used purely for entertainment purposes. Mathematics teachers desired regular training to keep up with the changing times. 5.2 Conclusion Teacher preparedness was looked at in three aspects namely; utilization of available resources, teacher training and teacher attitudes towards fC'I'. The research established that there is a serious lack of both professional and leT related training among mathematics teachers of secondary schools in Tigania East District. In utilization of resources, teachers were seen not to use the available resources exhaustively. Teacher attitudes towards leT were generally positive which implies that the teachers perceive technology as an add-on that would improve the teaching of mathematics. Although teachers perceive leT as a tool that would improve their teaching of mathematics, they did not make use 75 of the resources in their schools. This directs the researcher to the conclusion that teachers are willing to embrace leT in the teaching of mathematics but the lack of know how is a hindrance. Tills implies that teachers are not prepared to embrace JC'T resources for teaching mathematics in secondary schools of Tigania East District. 5.3 Recommendations This study revealed issues that led to the following recommendations. 1. That there should be a proper plan to in-service mathematics teachers regularly to move with the current times. There should be in-service courses to improve the teaching methodologies from time to time. 2. Mathematics teachers should be oriented towards leT use in teaching methods during the semesters when the units of the subject methods are taught. The department of communication technology should incorporate the l'Cf resource in the courses dealing with mathematics teaching methods. While learning this, the student-teachers should learn how to incorporate calculators, computers, Power Point projection, radios and even video and television to improve the learning and teaching of the subject. 3. Secondary schools administration should prioritize leT which has been seen to improve the learning environment. Since most schools have electricity and generators, the schools should provide enough leT resources for the teachers to 76 use during lesson presentation. Besides providing scientific calculators, schools can provide graphic calculators to expose the students. 4. Having noted a teacher shortage to the extent of having KCSE certificate holders as mathematics teachers, it is recommended that the community reorgamzes its finances so as to employ trained Mathematics teachers to supplement those employed by the government. 5. Over the years, mathematics as a subject has been viewed as difficult. The teaching of the subject has remained static while technology has been dynamic. It is therefore recommended that all mathematics teachers are completely in serviced to fit in the rather changing technological time. 6. For schools with computer laboratories, it is recommended that the room is made accessible to mathematics teachers so that they can prepare lessons using the available resources. 5.4 Suggestions for further research. 1. This study restricted itself to the general use of various ICT resources in the teaching of mathematics. 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The information you give is for research purpose only and will be treated with all confidentiality. Your cooperation will be highly appreciated. Please respond to all the questions as honestly as possible. \. a) Teacher Profile In the table below, please indicate your highest academic qualifications by ticking in the relevant box. HIGHEST LEVEL TICK OR CROSS EDUCATION. KCSE certificate College diploma in education College diploma in another field University degree in education University degree in another field, other than education Masters degree in education Masters degree in another field (specify) I. 90 b) Teacher Qualifications In Relation To ICT In the table below, please indicate your ICT related qualifications by ticking in the relevant spaces. HIGHEST LEVEL OF ICT EDUCATION. TICK OR CROSS Degree in IT (Information Technology) Diploma in IT (information Technology) Certificate in IT (Information Technology) Certificate in some computer packages None c) Do you feel competent to use various ICT resources in your teaching of mathematics? yes----, No----- d) What other ICT training would you wish to be trained in so as to improve your teaching of mathematics? ---------------- e) Common Computer Applications by Teachers In the spaces provided, please tick the computer package you use in your teaching of mathematics indicating how frequently you use it. Use a tick to show the packages that you Do Not Use, Use Rarely, Use Frequently, or Use Very Frequently 91 Packages/ Application Not used Rarely used Frequently used Very frequently used Computers in general Word-processing packa Spreadsheets Databases Graphical Applications Presentation software Any Internet activity Hypermedia / MuItimec Simulation Program Drill / Practice Tutorials t) Barriers Faced by Teachers in using I'C'I' resources for teaching mathematics. In your teaching, a number of issues faced could pose as a barrier to the effective use of ICT, please tick the ones that apply to your case. 92 barrier faced not a barri Not known Minor Major Access to computer hardware and other resourc Electricity Availability of adequate technical support for icr projects Knowledge about ways to Integrate leT to enhance teaching I IC'I' integration is not a school priority Finding teacher's substitutes for them to attend leT related training Access to the necessary technology at home Integrating and using different leT tools in a single lesson ( 93 g) How do you as a teacher deal with the issues you considered to be a barrier in your teaching? h) List some support actions that would be needed to support your teaching using ICT? i) Teacher perceptions As a mathematics teacher, how do you perceive ICT? What outcome do you think would result from proper use of ICT resources in the teaching of Mathematics in secondary school? In the table below Use SA for strongly agree, A for Agree, DK for Do not know, D for Disagree, SD for strongly disagree to indicate how you perceive ICT in relation to teaching mathematics. Using I'CT in a mathematics lesson . EXPECTED OUTCOME SA A DK D SD Leads to a more interesting learning environment Leads to a deeper understanding of concepts Leads to students with aroused interest - Creates a highly interactive classroom environment - Leads to faster coverage of syllabus Leads to better use of allocated time 94 APPENDIXB: Interview Schedule for Selected Teachers (one mathematics teacher for each sampled school) The following questions are aimed at obtaining information about the preparedness of secondary school mathematics teachers in embracing, appreciating and using ICT in their day to day teaching. The information you give is for research purpose only and will be treated with all confidentiality. Your cooperation will be highly appreciated. Please answer the questions asked to the best of your knowledge. 1. RELEVANT PERSONAL CHARACTERISTICS a) How many years have you taught mathematics ( ) b) What is your highest academic qualification? --------------------- c) Have you undergone any computer related training YES ( ) NO ( ) d) If yes in c above, what is the highest level of computer training e) Have you undergone any ICT related course for teaching mathematics YES () NO() State which course . f) When calculators were introduced and made compulsory for teaching and learning mathematics, were you trained to handle them in teaching? 95 g) What related challenges did you face in using the calculator for teaching mathematics? 2. PEDAGOGICAL RESOURCES Which of the following ICT resources do you use for teaching mathematics (tick those you use) a) Radio c:J b) Television and video c:::J c) Computers c:::J d) Calculators D e) any other ( name it) D 3. TOPICS IN WHICH TEACHERS USE ICT a) In which of the following topics in secondary school mathematics would a teacher use calculators? Statistics------ Logarithms------- Trigonometry------ geometry------ b) In which topics in secondary school mathematics does a teacher not need the use of calculators? c) In which of the following topics in secondary school mathematics would a teacher use computers? Statistics------ Logarithms------- Trigonometry------ geometry------ 96 d) In which areas of mathematics does a teacher not need the use of computer? e) In which of the following topics in secondary school mathematics would a teacher use television and video? Statistics------ Logarithms------- Trigonometry------ geometry------ f) In which of the following topics in secondary school mathematics would a teacher use radio? Statistics------ Logarithms------- Trigonometry------ geometry------ 4. What challenges do you face when using leT for teaching mathematics? (use tick or cross) a) Lack of know how in using l'C'l' appropriately ( ) b) Lack of the required leT resource ( ) c) Lack of sufficient class-time to set up the lesson activities ( ) d) Power failure and frequent blackouts ( ) e) Lack of interest by students ( ) f) State any other------------------------------------------ 97 APPENDIXC Observation Schedule The researcher will fill in the spaces provided as per the available resources and their state! condition. a) Resources available TYPE BRAND! QUANTITY GOOD FAIR SALVAGE TYPE CONDITI01\ CONDITI01\ Radio Computer Printers Television Video Calculators 98 b) Purpose for which the ICT resources are used One appointed mathematics teacher for each school with ICT resources to observe a mathematics lesson in form III class and fill in the table. ICT RESOURCE TEACHER STUDENTS TOPICS ACTIVITIES ACTIVITIES TAUGHT Computer Calculators Television and Video Radio Other ICT resources Seen 99 APPENDIXD: Questionnaire for Secondary School Principals The following questionnaire is aimed at obtaining information about the preparedness of secondary school mathematics teachers in embracing, appreciating and using lCT in their day to day teaching. The information you give is for research purpose only and will be treated with all confidentiality. Your cooperation will be highly appreciated. Please answer the questions in the spaces provided 1) TEACHER TRAINING a) How many mathematics teachers do you have? ----- b) Do you provide professional books for your mathematics teachers? YES--- NO-- c) What in service programs have your mathematics teachers been exposed to in relation to lCT use for teaching mathematics? 2) ICT resources a) What ICT resources are available In your school that IS used In teaching mathematics?. b) Who buys calculators for student's use? Parents( ), the school( ), donors( ), others ( ) c) Does your school provide calculators to your mathematics teachers? YES--- NO- 100 d) Does your school have intemet services that would be used by the mathematics teachers? e) Does the heads association support the use of JCT for teaching Mathematics in secondary schools? YES--- NO---- f) Which of the following do you have in your school that aid in the use of ICT in teaching mathematics? Tick as appropriate. Electricity----- Solar----------- D Cl DGenerator------ 101 APPENDIX E: A List of Secondary Schools in Tigania East District. 1. Karama boys secondary school 2. Antuanduru day secondary school 3. St Marys mixed secondary school 4. Mbaranga day secondary school 5. Ntirutu day secondary school 6. St Angelas girls secondary school 7. Nyambene girls secondary school 8. St Cyprian boys secondary school 9. Luuma day secondary school 10. Nchui day secondary school-- Sampled for piloting 11. Rumanthi secondary school 12. Lailuba day secondary school 13. Mukinduri girls secondary school 14. Irindiro secondary school 15. Akaiga secondary school-sampled for piloting 16. Kiguchwa day secondary school 17. Muthara day secondary school ·18. Thubuku day secondary school 19. St Massimo secondary school 20. Kaliene secondary school 21. Ametho secondary school 102 22. Ankamia secondary school 23. Thuuri secondary school 24. Mutiwa secondary school 25. Marega secondary school 26. Ngage secondary school 27. Michiimikuru day secondary school 28. Maburwa day secondary school 29. Muthara high school 30. Lubuathirua day secondary school Key: highlighted schools were the ones selected for the study. KENYAfJA UNiVERSITY LIBRAF Y