View
222
Download
0
Category
Preview:
Citation preview
[vi]
Introduction ......................................................................................................... 1Mathematics Language and Its Use ................................................................... 2Context of the Study ............................................................................................ 3Summary of Study Context ................................................................................. 7Research Focus ................................................................................................... 8Aim and Research Questions .............................................................................. 9Researcher reflexivity .......................................................................................... 9Assumptions of the study ................................................................................... 10Limitations of the Study .................................................................................... 11Preliminary Definitions ..................................................................................... 12Overview of the thesis ........................................................................................ 12
Introduction ....................................................................................................... 13Mathematics and Languages ............................................................................ 13Pacific Education Issues ................................................................................... 21A Tentative Framework for Learning and Teaching ...................................... 30Conclusion ......................................................................................................... 37
Introduction ....................................................................................................... 39Research Paradigm ........................................................................................... 39Interpretivist Paradigm ..................................................................................... 40Phenomenology as a Research Methodology ................................................... 40Research Participants ....................................................................................... 42Research Methods ............................................................................................. 44Ethical Considerations ...................................................................................... 48Transcription of Data ........................................................................................ 49Thematic Analysis ............................................................................................. 50Conclusion ......................................................................................................... 54
Introduction ....................................................................................................... 55Teacher Quality ................................................................................................. 55Student Learning ............................................................................................... 63Algebraic Language .......................................................................................... 67
[vii]
Teaching and Learning Resources ................................................................... 75Class Sizes .......................................................................................................... 81Mathematics Assessment ................................................................................... 84Mathematics Syllabus Issues ............................................................................ 88Conclusion ......................................................................................................... 91
Introduction ....................................................................................................... 92Summary of Seven Dimensions ........................................................................ 92Learning Algebraic language ........................................................................... 97Teaching Algebraic Language .......................................................................... 98Recommendations ............................................................................................. 99Areas for further research .............................................................................. 100
Appendix A: Teacher Interview schedule ...................................................... 110Appendix B: Student Interview Questions ..................................................... 111Appendix C: Interview Questions for Assessment Officer ............................ 112Appendix D: Observation Form ..................................................................... 113
[1]
“Students continue to struggle with problem solving tasks. These involve problems described (in English) using words ... It is very likely that the poor English skills of the students impede their ability to understand the actual tasks as the actual mathematical operations were straight forward.”
(Ministry of Education, 2016, p. 23)
[3]
Mathematics Curriculum
Secretariat of the Pacific Board for Educational Assessment
Education Quality and Assessment Program
Secretariat of the Pacific Community
[5]
Mathematics Teachers and Training
Kiribati Teachers College Kiribati Education
Improvement Program
Teaching English to Speakers of Other Language
Kiribati English Learning Program
[12]
Algebraic language
simplify, rational, real numbers, integers, expression,
factorizing, inequalities, functions, indices, index and log form .
factorizing ( ), integration ( ), inequalities ( )
[14]
Fractal fuzzy
logic
Mathematical English
“borrowed” face, power, product, rational)
quadrilateral, parallelogram, hypotenuse)
Isosceles iso- skelos
tangent tangere-
[16]
Mathematics Written Communication
unknown or variable”
unknown variables3
3 unknown variable
unknown variable
[28]
kabitaia
Pacific Teaching and Learning Quality Issues
teacher-centred approach
student-centred approach
[29]
student-centred approach
National Curriculum and Assessment Framework
teacher-centred approach
learning-centred approach
student-centred
approach
[54]
Teacher Quality, Student learning Algebraic language Teaching and
Learning resources Class size, Mathematics Assessment Mathematics syllabus
issues
[55]
Teacher Quality, Student
learning Algebraic language Teaching and Learning resources Class size,
Mathematics Assessment Mathematics syllabus issues
[72]
Algebraic Key Words
simplifying solve quadratic and cubic
factors expansion factors reciprocal rational expression evaluate
[73]
rational expression equation
reciprocals numerator denominator
lowest
common factor collecting like terms addition subtraction
multiplication division
solve
factorizing expansion
solve
simplify solving
solve expanding
[74]
expansion solving power equation quadratic equation
simplifying unknown variable
logarithm power
equation
expansion,
Determinant
logarithm properties elimination of
multiplicative terms addition subtraction
[90]
Gap between Year 11 and Year 12 Syllabi
Calculus Sequence and
Series
Kiribati National Certificate
Senior Secondary Certificate
differentiation, integration
differentiation,
integration, arithmetic geometric sequence, series, terms
summation notation
[91]
teacher quality issue; student
learning; problems with algebraic language; teaching and learning materials; large
class-size; Mathematics assessment; Mathematics syllabus issues
[92]
quality teaching, student learning, language complexity,
teaching and learning resources, class size, assessment Mathematics syllabus
issues
Teacher Quality
[101]
Sky Journal of Educational Research, 2
A Samoan Perspective on Pacific Mathematics Education.
Journal of Educational Studies, 21
Re-thinking Education Curricula in the Pacific: Challenges and Prospects
Research Methods in Child Welfare
Foundations of Bilingual Education and Bilingualism
Early Childhood Research Quarterly, 22
Mathematics Education: A Handbook for Teachers
Theta Mathematics: NCEA Level 2
Language and Second/Additional Language Issues for School Education: A Reader for Teachers
Mathematics Teaching-Derby-
The Basics of Learning: Literacy and Numeracy in the Pacific
[102]
Social Science Research: Principles, Methods, and Practices
International Online Journal of Educational Sciences 5
Higher education, 32
Race and Class, 32
Learning and Instruction, 21
Journal of Teaching and Learning, 5
Qualitative research in psychology, 3
Journal of Educational Studies, 24
Asia Pacific Journal of Education, 33
Journal for Activist Science & Technology Education, 1
The Journal of General Education, 59
Vocabulary Strategies for the Mathematics Classroom
An International Journal, 4
[103]
Educational Research, Planning, Conducting, and Evaluating Quantitative and Qualitative Research
Algebra, symbols, and translation of meaning.
Australian Senior Mathematics Journal, 27
Introduction to mathematical thinking
A quarterly publication reporting on teaching, learning and assessment
Assessment
Re-thinking Education Curricula in the Pacific: Challenges and Prospects
Mathematical language and Advanced Mathematics Learning.
Bilingual Education in the 21st Century. A Global Perspective
Technology-Enriched Teaching of Secondary Mathematics: Factors Influencing Innovative Practice.
Kiribati Development Plan 2016-19
International Journal of Qualitative Methods, 3
[104]
Issues & Answers Report, REL 2007
Journal of Client Care, 1
Learning to Teach Mathematics in the Secondary School
The Basics of Learning: Literacy and Numeracy in the Pacific
NCEA Level 2 Mathematics. Questions & Answers
School Improvement Plan Standards
Media and the politics of climate change in Kiribati: A case study on jornalism in a "disapperaring nation".
International Journal of Qualitative Studies in Education, 19
The Basics of Learning Literacy and Numeracy in the Pacific
Interdisciplinary Undergraduate Research Journal, 2
Education Research and Reviews, 8
[105]
Educational studies in mathematics, 71
Mathematical Understanding and Tongan bilingual students' language switching- Is there a relationship?
An analysis of the effects of class size on student achievement in selected middle schools in the Sandhills region of North Carolina.
Mathematics Education: A Handbook for Teachers
American International Journal of Contemporary Research, 2
Submission on the Public Inquiry into Pacific Languages in ECE
Educational Ideas from Oceania
Introduction to Educational Research
English for Kiribati
Kiribati National Education Summit Outcomes
Kiribati National Curriculum and Assessment Framework (NCAF)
KSSC Exam results report 2013
[106]
Education for All 2015 National Review Report
KSSC Results for 2013 to 2015
Learning to Teach Mathematics in the Secondary School
Commissioned Papers on Language and Literacy Issues in the Common Core State Standards and Next Generation Science Standards, 94
Vugalei : voices and silences of what and how we know : indigenous Fijian epistemology and implications for education.
Kiribati National Curriculum and Assessment Framework
Teaching and Learning Research Initiative final report. Retrieved August
Learning to Teach Mathematics in the Secondary School
[107]
Rethinking Educational Reform: A Pacific Perspective
National center for analysis of longitudinal data in education research
Learning to Teach Mathematics in the Secondary School
International Journal of Educational Development, 31
Educational Research in an age of accountability
Current and Critical Issues in Curriculum and Learning
Journal of Science and Mathematics Education in Southeast Asia, 33
Cross-Cultural Approaches to Literacy
Re-thinking Education Curricula in the Pacific: Challenges and Prospects
Educational Ideas from Oceania
The Basics of Learning Leiteracy and Numeracy in
[108]
the Pacific
Re-thinking Education Curricula in the Pacific: Challenges and Prospects
Educational Ideas from Oceania
Educational Ideas from Oceania
Re-thinking Education Curricula in the Pacific: Challenges and Prospects
Canadian Journal of Education, 27
ZDM Mathematics Education, 46
Mai Review
Readings on the Development of Children
Learning to
[109]
Teach Mathematics in the Secondary School
Research Methods in Education: An Introduction
The Reading Teacher, 64
Foundations of Qualitative Research: Interpretive and Critical Approaches
Articles on Best Practice, 40
[110]
Teaching Methods
Using language
simplify, expansion, factorise, evaluate, as twice as, triple, times
Cultural silence
[111]
Tera mamaten nanon n am bwai n reirei ae ko reireiaki iai? Taiaoka angaa bukina bwa ibukin tera bwa ko tatangira te bwai n reirei anne.
Ko tatangira karaoan te Numera n te karaki ke koaki? Taiaoka angaa bukina bwa ibukin tera ngkai ko tatangiria ao ibukin tera ngkai ko aki.
E kanga aron am tia reirei n te Numera n reiakini ngkami inanon tain te reirei? Taiaoka kabwarabwara bwa e teimatoa n kabwarabwarai te naan taeka ni Imatang are a kabonganaaki ke eaki, tera te taetae ae e kabonganaa ibukin kain te reirei, e kanga arona n buokiia ataei ake iai aia titiraki, tera bwaai ae e anga reirei mai iai, ao e kanga arona ni kaina ami reirei.
Ko kakoaua ae rabakaum n te taetae ni Imatang (ko kona ongo ke koroboki) e irekereke ke e kona n roota am kekeiaki n te Numera ?
Anga tabeua te taetae ni Imatang aika a rang kabonganaaki n te Numera ae ko teimatoa n tuai atai nanoia, ke ngkana a kabonganaai ao koaki naba oota iai.
Recommended