Table of Contents
Abstract
Acknowledgements
List of Tables
List of Figures
CHAPTER ONE. THE PROBLEM
1.1 Real problem
1.1.1 Background to problem
1.1.2 Thesis Outline
1.1.3 The problem
1.2 The problem in its context
1.2.1 Papua New Guinea
1.2.2 Education system
1.2.3 Curriculum system
1.2.4 Teacher education
1.3 Significance of research
1.3.1 Purpose and importance of this Study
1.3.2 Anticipated outcomes
1.3.3 Relevance to education
CHAPTER TWO : LITERATURE REVIEW
2.1 Mathematics in Socio-cultural contexts
2.1.1 Social context
2.1.2 In and out -of- school mathematics
2.1.3 Cultural context
2.1.4 Ethnomathematics
2.2 Teacher beliefs and practice
2.2.1 Conceptions about the Nature of Mathematics
2.2.2 Teacher beliefs and conceptions about mathematics
2.2.3 Teacher beliefs and practices
2.2.5 Constraints on practices
2.2.6 Teacher practices in PNG
2.3 Educational policy and Curriculum practice
2.3.1 Conceptions, Ideologies and the curriculum
2.3.2 Educational policy, Curriculum and practice
2.3.3 Studies on the mathematics curriculum
2.3.4 PNG Studies on Mathematics curriculum
2.3.5 Culturally oriented curriculum
2.4 Problem restated
2.5 Research Questions
CHAPTER THREE. METHODOLOGY
3.1 Discussion of previous Research
3.1.1 Methodologies used in selected studies
3.1.2 Implications for this study
3.2 Methodology
3.2.1 Research questions - Measurement instruments
3.2.2 Intended Data collection procedures
3.2.3 Data analysis
3.3 The pilot study
CHAPTER FOUR. MAIN STUDY
4.1 Questionnaires
4.2 Interviews
4.3 Observations
CHAPTER FIVE. DESCRIPTIVE RESULTS
5.1 Samples
5.1.1 Teacher Sample
5.1.2 Student teacher sample
5.1.3 Student sample
5.2 Descriptive results of the questionnaire
5.2.1 Teacher responses to questionnaire items
5.2.2 Student Teacher responses to questionnaire items
5.2.3 Student responses to questionnaire items
5.3 Item reliability
5.3.1 Factor analysis
5.3.2 Revised categories
5.4 Responses according to beliefs categories
5.4.1 Teacher beliefs about mathematics learning
5.4.2 Teacher beliefs about mathematics teaching
5.4.3 Teacher beliefs about nature of mathematics
5.4.4 Student teacher responses according to beliefs categories
5.4.5 Students’ responses according to beliefs categories
5.5 A comparison of teachers, student teachers and students’ conceptions
5.5.1 ANOVA tests on sample independent variables
5.5.2 Comparison of teachers, teacher trainees and students’ conceptions
5.6 Interview results
Summary of responses to interviews
5.7 Teacher profiles : Observations
5.7.1 Profiled Teacher responses to the questionnaire
5.7.2 Teacher profile 1 : Titus
5.7.3 Teacher profile 2 : Petrus
5.7.4 Teacher profile 3 : Markos
5.7.5 Teacher profile 4 : Tina
5.7.6 Teacher profile 5 : Maria
CHAPTER SIX. ANALYSIS AND DISCUSSION OF RESULTS
6.1 Teacher beliefs about SM & CM
6.1.1 A comparison of teacher beliefs about SM and CM
6.2 Teacher beliefs and practices
6.2.1 Differences in the profiled teacher beliefs
6.2.2 Differences in classroom practice
6.2.3 Relationship between teacher beliefs and classroom practice
6.3 Relationship between teacher conceptions of SM and CM and student conceptions
6.4 A Synthesis of teacher beliefs and their influence on the mathematics curriculum
6.4.1 Teacher beliefs about CM and the school mathematics curriculum
6.4.2 Teacher beliefs in the context of the “Curriculum framework”
6.5 Summary according to research questions
CHAPTER SEVEN. IMPLICATIONS AND RECOMMENDATIONS
7.1 The Education policy
7.1.1 The Cultural dimension of the educational policies
7.2 The Cultural dimension of the school mathematics curriculum
7.2.1 Implications for the intended curriculum : The CMO curriculum
7.2.2 Teacher implementation of the mathematics curriculum
7.3 Teacher beliefs and practice
7.3.1 Teacher beliefs and the school mathematics curriculum
7.3.2 Teacher beliefs about CM and the nature of mathematics
7.4 Research implications
7.4.1 Limitations of study
7.4.2 Implications for further Research
Bibliography
APPENDICES
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Last updated: 16/09/04.