Bibliography Of Maths Project On Probability

A BIBLIOGRAPHY OF MATHEMATICS EDUCATION

Paul Ernest

P Ernest 1994

This electronic bibliography has been prepared for students at the University of Exeter and may not be copied or distributed to others without permission.

To find particular topics view in outline mode (levels 2-8) or use the edit/find features of Word or Windows.

CONTENTS

1. Society, Diversity And Mathematics Education

1.1 The Nature Of Mathematics

1.2 Ethnomathematics

1.3 History Of Mathematics In Teaching

1.4 Multicultural And Antiracist Mathematics

1.5 Gender And Mathematics

1.6 Political Values And Maths

1.7 Special Educational Needs And Maths Ability

1.8 Language And Mathematics

1.9 Parents And Maths

1.10 Mathematics, Work And Numeracy

2. The Learning Of Mathematical Topics

2.1 Number Concepts And Operations

2.2 Addition And Subtraction

2.3 Multiplication And Division

2.4 Place Value And Decimals

2.5 Fractions

2.6 Ratio

2.7 Integers (Positive And Negative Numbers)

2.8 Measurement

2.9 Algebra

2.10 Graphs

2.11 Geometry And Symmetry

2.12 Spatial Imagery And Visualisation

2.13 Probability And Statistics

2.14 Sets, Logic, Functions, Reasoning And Proof

2.15 Mechanics

2.16 Calculus

3. The Psychology Of Learning Mathematics

3.1 Learning Mathematics In Context And Transfer

3.2 Attitudes To Maths

3.3 Perceptions Of Maths And Beliefs

3.4 Mathematical Learning Outcomes And Objectives

3.5 Facts And Skills

3.6 Mathematical Concepts

3.7 Conceptual And Procedural Understanding

3.8 The Strategies And Processes Of Mathematics

3.9 Errors, Methods, Conceptions And Creativity

3.10 Schema Theory And Mental Representation

3.11 Theory Of Curriculum Design

3.12 Conceptual Hierarchies In Learning Mathematics

3.13 Constructivism

3.14 Social Constructivism

4. Teaching Approaches And Resources For Mathematics

4.1 Classroom Organisation In Maths

4.2 Expository And Individualised Instruction

4.3 Discovery Learning In Mathematics

4.4 Mathematical Problem Solving

4.5 Investigations And Projects

4.6 Discussion And Groupwork In Maths

4.7 Games, Apparatus And Practical Approaches

4.8 Logo And Maths Education

4.9 Microcomputers In Teaching Maths

4.10 Calculators

5. The Mathematics Curriculum And Assessment

5.1 The Aims Of Learning And Teaching Mathematics

5.2 The Mathematics Curriculum

5.3 The Primary Maths Curriculum

5.4 The British National Curriculum In Maths

5.5 Maths Curriculum Developments And Projects

5.6 Applications In The Mathematics Curriculum

5.7 Cross-Curricular Issues

5.8 Analysis And Critique Of Maths Schemes

5.9 Diagnostic, Oral And Practical Assessment

5.10 Assessment In Mathematics

5.11 Uk Assessment Projects

5.12 International Assessment Projects

6. Information Sources In Mathematics Education and Research Methodology

6.1 Surveys And Overviews Of Mathematics Education

6.2 Bibliographies In Mathematics Education

6.3 Journals With Organised Listings

6.4 Research And Professional Journals In Mathematics Education

6.5 Research Methodology References

SOCIETY, DIVERSITY AND MATHEMATICS EDUCATION

THE NATURE OF MATHEMATICS

Abraham J and Bibby N (1989) Human Agency: The Black Box of Mathematics in the Curriculum, Zentralblatt fur Didaktik der Mathematik, Vol 21, No 5, 183-188

Barker S F (1964) Philosophy of Mathematics Foundations of Philosophy Series), Prentice-Hall, Englewood Cliffs

Bibby N (1985) Curricular Discontinuity: A Study of the Transition in Mathematics from Sixth Form to University Education Area Occasional Paper 12), Falmer, Sussex: University of Sussex

Bibby N and Abraham J (1989) Social History of Mathematics Controversies: Some Implications for the Curriculum, in Keitel et al (1989), 56-57

Biehler R, Scholz R W, Straesser R and Winkelmann (1984) (Eds) The Didactics of Mathematics as a Scientific Discipline, Dordrecht: Kluwer

Confrey J (1981) Conceptual Change Analysis: Implications for Mathematics and Curriculum, Curriculum Inquiry, Vol 11, No 5, 243-257

Davis P J (1972) Fidelity In Mathematical Discourse: Is One and One Really Two? American Mathematical Monthly, Vol 79, No 3, 252-263

Davis P J and Hersh R (1980) The Mathematical Experience, London: Penguin

Davis P J and Hersh R (1988) Descartes Dream, Penguin, Harmondsworth

Davis P J and Hersh R (1983) The Mathematical Experience, Penguin, Harmondsworth

Davis P J and Hersh R (1988) Descartes Dream, Penguin, Harmondsworth

Ernest P (1988b) Mathematical Values: A Personal Experience, Mathematical Education for Teaching, Vol 5, No 1, 1-19

Ernest P (1989) (Ed) Mathematics Teaching: The State of the Art, Basingstoke: Falmer Press

Ernest P (1989) Recent Developments In Primary Mathematics, University of Exeter School of Education (Unit 1)

Ernest P (1989) Social and Political Values, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Ernest P (1989) What Is Mathematics? Castme Journal, Vol 6, No 2, 1-5

Ernest P (1991) The Philosophy of Mathematics Education, London: Falmer Press

Ernest P (1994) (Ed) Constructing Mathematical Knowledge: Epistemology and Mathematics Education, London: Falmer Press

Ernest P (1994) (Ed) Mathematics, Education And Philosophy: An International Perspective, London: Falmer Press

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Høyrup J (1980) In Fauvel, J and Gray, J (1987) The History of Mathematics: A Reader, Macmillan, Basingstoke, 43-45

Joseph G G (1991) The Crest of The Peacock: Non-European Roots of Mathematics, Tauris and Co , London and New York Paperback Publication By Penguin Books)

Julie C, Angelis D, Davis Z (1993) (Eds) Political Dimensions of Mathematics Education: Curriculum Reconstruction For Society In Transition, Johannesburg, South Africa: Maskew, Miller and Longman

Keitel C with Damerow P, Bishop A J and Gerdes P (1989) (Eds) Mathematics, Education and Society (Science and Technology Education Document Series No 35) Paris: UNESCO

Kitcher P (1983) The Nature of Mathematical Knowledge, Oxford, Oxford University Press;

Kitcher P (1984) The Nature of Mathematical Knowledge, Cambridge: CUP

Kitcher P and Aspray W (1988) An Opinionated Introduction, In Aspray W and Kitcher P (Eds)(1988) History and Philosophy of Modern Mathematics, Minneapolis: University of Minnesota Press, 3-57

Kline M (1980), Mathematics The Loss of Certainty, Oxford: Oxford University Press),

Lakatos I (1976) Proofs and Refutations, and (1978) Philosophical Papers, Volume 2, Cambridge: Cambridge University Press);

Lerman S (1983) Problem-solving or knowledge-centred: the influence of philosophy on mathematics teaching, International Journal for Mathematical Education in Science and Technology, Vol 14, No 1, 59-66

National Curriculum Mathematics Working Group (1987) Interim Report, DES, London (Chapter 3)

Newman J R (1956) The World of Mathematics (Volumes 1-4), Simon and Schuster, New York

Polya G (1945) How To Solve It, Princeton, New Jersey: Princeton University Press

Putnam H (1975) Mathematics, Matter and Method Philosophical Papers Vol 1), Cambridge, Cambridge University Press

Restivo S (1988) The Social Construction of Mathematics, Zentralblatt fur Didaktik der Mathematik, Vol 20, No 1, 15-19

Rotman B (1993) Ad Infinitum The Ghost In Turings Machine: Taking God Out of Mathematics and Putting The Body Back In, Stanford California: Stanford University Press

Skovsmose O (1994) Towards A Philosophy of Critical Mathematics Education, Dordrecht: Kluwer

Steen L A (1988) The Science of Patterns, Science, 240 (4852), 611-616

Tiles M (1991) Mathematics and The Image of Reason, London: Routledge

Tymoczko T (1986) New Directions In The Philosophy Of Mathematics, Birkhauser, Boston (510 1 Tym)

ETHNOMATHEMATICS

Abraham J and Bibby N (1988) Mathematics and Society: Ethnomathematics and the Public Educator Curriculum, For the Learning of Mathematics, Vol 8, No 2, 2-11

Ascher M (1984) Mathematical Ideas In Non-Western Cultures Historia Mathematica, 11, 76-80

Ascher M (1991) Ethnomathematics: A Multicultural View of Mathematical Ideas Belmont, Ca: Brooks/Cole

Bishop A J (1988) Mathematical Enculturation, Dordrecht, North Holland: Kluwer

Bishop A J (1988a) Mathematics Education in its Cultural Context, Educational Studies in Mathematics, Vol 19, 179-191

Borba M C (1990) Ethnomathematics and Education, For The Learning of Mathematics - An International Journal of Mathematics Education, 10, #1

Carraher T (1988) Street Mathematics and School Mathematics, In Borbas, A Ed (1988) 12th International PME Conference (Vol 1), Veszprem, Hungary, 1-23

Carraher T, Carraher D W and Schliemann (1985) Mathematics In The Streets and Schools, British Journal of Developmental Psychology, Vol 3, 21-29

Chevallard Y (1990) On mathematics education and culture: critical afterthoughts, Educational Studies in Mathematics, 21(1), 3-27

Dambrosio U (1985) Ethnomathematics and Its Place In The History of Pedagogy of Mathematics, For The Learning of Mathematics - An International Journal of Mathematics Education, 5, #1

Dambrosio U (1985) Ethnomathematics For The Learning of Mathematics, Vol 5, No 1, 44-48

Dambrosio U (1985a) Ethnomathematics and its place in the history and pedagogy of mathematics, For the Learning of Mathematics, Vol 5, No 1, 44-48

Dambrosio U (1991) Ethnomathematics and its place in the history and pedagogy of mathematics, in M Harris (ed ) Schools, Mathematics and Work, Falmer, London, pp 15-25

Damerow P, Dunkley M E, Nebres B F and Werry B (1986) (Eds) Mathematics for All, Paris: UNESCO

Dowling P (1988) The Contextualising of Mathematics: Towards a Theoretical Map, in Harris, M Ed Schools, Mathematics and Work, London, Falmer, (1991), pp 93-120

Ernest P (1994) (Ed) Mathematics, Education And Philosophy: An International Perspective, London: Falmer Press

Ferreira E S (1990) The Teaching of Mathematics In Brazilian Native Communities Int J Math Educ Sci Technol 21, #4

Frankenstein M (1989) Relearning Mathematics London: Free Press

Frankenstein M and Powell A (In Press) Toward Anti-Domination Mathematics: Paulo Freires Epistemology and Ethnomathematics, In Paulo Freire: A Critical Encounter, Edited By P Mclaren and P Leonard (Eds) NY: Routledge

Gay J and Cole M (1967) New Mathematics In An Old Culture, Holt, Rinehart and Winston: New York

Gerdes P (1988) On Possible Uses of Traditional Angolan Sand Drawings In The Mathematics Classroom Educational Studies in Mathematics 19 (1): 3-22

Giroux H (1991) Beyond The Ethics of Flag Waving: Schooling and Citizenship For A Critical Democracy, The Clearing House 64 (5)

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Harris M (1991) (Ed) Schools, Mathematics and Work, London, Falmer

Horton R (1971) African Traditional Thought and Western Science In Young, M F D (Ed) 1971 Knowledge and Control Collier - Macmillan: London

Keitel C with Damerow P, Bishop A J and Gerdes P (1989) (Eds) Mathematics, Education and Society (Science and Technology Education Document Series No 35) Paris: UNESCO

Lance D F (1983) Cross-Cultural Studies In Cognition and Mathematics Academic Press: New York

Lave J (1988) Cognition in Practice: Mind, Mathematics and Culture in Everyday Life, Cambridge University Press, Cambridge

Lave J and Wenger E (1991) Situated Learning: Legitimate Peripheral Participation, Cambridge: Cambridge University Press

Pinxten R et al (1983) The Anthropology of Space University of Pennsylvania Press: USA

Sal Restivo (1990) In The Social Roots of Pure Mathematics, In Theories of Science In Society, Edited By Susan E Cozzens And Thomas F Gieryn, Bloomington, In: Indiana University Press

Saxe G B (1991) Culture and Cognitive Development: Studies in Mathematical Understanding, Hillsdale, New Jersey: Erlbaum

Schaaf W L (1963) Our Mathematical Heritage, Collier: New York

Wilson B J (1981) Cultural Contexts of Science and Mathematics Education, Csse: University of Leeds

Zaslavsky C (1973) Africa Counts, New York, Ny: Lawrence Hills Publications

Zaslavsky C (1973) Africa Counts, Prindle, Weber and Schmidt: Boston USA

HISTORY OF MATHEMATICS IN TEACHING

Baumgart J K et al (1969), Historical Topics For The Mathematics Classroom, National Council of Teachers of Mathematics, USA

Burgess B (1985) Adding A Historical Perspective To A Level Mathematics, The Belfast Teachers Centre At Queens University

Byers V (1982), Why Study The History of Mathematics International Journal of Mathematics Education In Science and Technology, February 1982

Cockcroft W H et al (1982) Mathematics Counts, HMSO

Confrey J (1981) Conceptual Change Analysis: Implications For Mathematics and Curriculum, Curriculum Inquiry, 11, 245-257

Davis P J and Hersh R (1923) The Mathematical Experience, Birkh, User, USA

Ernest P (1989) (Ed) Mathematics Teaching: The State of The Art, Falmer Press, London

Ernest P (1991) The Philosophy of Mathematics Education, The Falmer Press, Basingstoke

Ernest P (1994) (Ed) Constructing Mathematical Knowledge: Epistemology and Mathematics Education, London: Falmer Press

Fauvel J (1990) (Ed) History In The Mathematics Classroom, The Mathematical Association, Leicester

Fauvel J (1991) (Ed) For The Learning of Mathematics, Special Issue On History In Mathematics Education, Vol 11 No 2 June (1991)

Freebury H A (1966) A History of Mathematics For Secondary Schools, Cassell, London

Freudenthal H (1981), Should A Mathematics Teacher Know Something About The History of Mathematics, For The Learning of Mathematics, Vol 2, No 1, July (1981)

Green D R (1974) The Place of History In The Teaching of Mathematics, MEd Thesis, Chelsea College, University of London

Hassler J (1929) The Use of History of Mathematics In Teaching, The Mathematics Teacher, March

Hickman F and Kapadia R (1982) A History of Mathematics Course For Teachers, International Journal of Mathematics Education In Science and Technology, July

HMSO (1980) Mathematics In The Sixth Form, HMI Discussion Document 14 HMSO Publications, London

HMSO (1980) Teaching Mathematics In Secondary Schools , Education Pamphlet: Number 36, London

HMSO (1989) Mathematics In The National Curriculum, HMS Publications, London

Joseph G G (1986) A Non-Eurocentric Approach To School Mathematics Multicultural Teaching, Spring

Joseph G G (1991) The Crest Of The Peacock Non European Roots Of Mathematics, I B Tauris, (Penguin Books 1992)

Katz V W (1986) Using History In Teaching Mathematics, For The Learning of Mathematics, 6, 13-19

Kemeny J (1963) Report To The International Congress of Mathematicians, The Mathematics Teacher, February

Kline M (1966) A Proposal For The High School Mathematics Curriculum, The Mathematics Teacher, April

Kline M (1972) Mathematics In Western Culture, Pelican: London

Land F W (1963) (Ed) New Approaches To Mathematics Macmillan and Co Ltd, London

Mathematical Gazette (Special Issue 1992)

Miller P (1990) Developing The Mathematics Curriculum: The Quipu, Mathematics Teaching, March: No 133 (Dec 1990)

On The Mathematics Curriculum, (1962) Mathematics Teacher, March

Popp W (1975) History of Mathematics: Topics For Schools, Open University Press

Sarton G (1957) The History of Mathematics, Dover Publications

Schaaf W L (1963) Our Mathematical Heritage Collier: New York

Simmons M (1993) The Effective Teaching of Mathematics, Longman, Hong Kong

Simons L G (1923) The Place of The History and Re of Mathematics In Teaching Algebra and Geometry, The Mathematics Teacher, February

Stander D (1989) The Use of the History of Mathematics in Teaching, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Stronder D (1987) A Guide For School Teachers and University Lecturers Wishing To See The History of Mathematics In Their Teaching, University of Exeter School of Education

Wilder R L (1974) Evolution of Mathematical Concepts, London: Transworld Books

Wilder R L (1981) Mathematics as a Cultural System, Oxford: Pergamon Press

Wiltshire B (1930) History of Mathematics In The Classroom, Mdbo The Mathematics Teacher, December

Yan L and Shiran D (1987) Chinese Mathematics A Concise History Oxford Science Publications,

MULTICULTURAL AND ANTIRACIST MATHEMATICS

Antonouris G (1988) Multicultural Perspectives T E S (30 9 88, Page 64)

Arora R and Duncan C (1986) (Eds) Multicultural Education: Towards Good Practice, London: Routledge

Bernal M (1987) Black Athena-The Egyptian Origin of Greek Civilisation By Free Association Books, London

Bishop A J (1988) Mathematical Enculturation, Dordrecht: Reidel

Bovett A (1983) Mathematics - A Universal Language Multicultural Teaching Vol 1, No 3, Summer (1983) Issue, 15-16

Brown A et al (1990) Proceedings of Conference Political Dimensions of Mathematics Education: Action and Critique, University of London Institute of Education

Brown and Dowling P (1988) Towards A Critical Alternative To Internationalism And Monoculturalism In Mathematics Education, Presented At The Conference An International Dimension In The National Curriculum

Cotton A (1990) Anti Racist Mathematics Teaching And The National Curriculum Mathematics Teaching 132

Craft A and Bardell G (1984) (Eds) Curriculum Opportunities In A Multicultural Society, London: Harper and Row (See Hemmings Chapter: Mathematics)

Craft A and Klein G (1986) An Agenda For Multicultural Teaching, London: SCDC/Longman, Pages 64-66 (In March)

Didsbury School Of Education (1989) Multi Cultural Education Curriculum Approaches Subject Teaching Supplement Maths Didsbury School Of Education

Ernest P (1988) (Ed) The Social Context of Mathematics Teaching: University of Exeter School of Education (Perspectives)

Ernest P (1988)c) (Ed) The Social Context of Mathematics Teaching (Perspectives 37) Exeter: University of Exeter School of Education

Ernest P (1991) The Philosophy of Mathematics Education London: Falmer

Ernest P (1994) (Ed) Constructing Mathematical Knowledge: Epistemology and Mathematics Education, London: Falmer Press

Ernest P (1994) (Ed) Mathematics, Education And Philosophy: An International Perspective, London: Falmer Press

Feu (1985) Curriculum Development For A Multicultural Society, Feu, London

Frankenstein M (1990) Re-Learning Mathematics, Published By Free Association Books

Gerdes P (1981) Changing Mathematics Education In Mozambique Educational Studies in Mathematics Vol 12

Gerdes P (1986) How To Recognise Hidden Geometrical Thinking For The Learning of Mathematics 6(2) 10-17

Gill D and Levidow L (1987) (Eds) Anti-Racist Science Teaching, London: Free Association Books

Gill M and Gill D (1977) Multicultural Mathematics, Mathematics School, March, 1977

Gow D (1987) The Unknown Quantity Guardian (Tues Nov 3 (1987), P15)

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Hemmings R (1980) Multi-Ethnic Mathematics (Parts 1 and 2) New Approaches In Multi-Racial Education Vol 8, No 3, (Summer (1980); Vol 9, No 1, (Autumn (1980)

Horton R (1971) African Traditional Thought and Western Science In Young, M F D (Ed) 1971 Knowledge and Control Collier - Macmillan:London

Hudson B et al (1985) World Studies Journal Vol 5, No 4, (Several Relevant Articles)

ILEA - Learning Resources Branch (1987) Everyone Counts, London: ILEA

Jones L V et al (1984) Monitoring the Mathematics Achievement of Black Students Journal for Research in Mathematics Education; v15 n2 p154 64 Mar (1984)

Joseph G G (1981)4) The Multicultural Dimension, T E S Extra (5 10 84)

Joseph G G (1985) An Historical Perspective T E S (11 10 85, Page 47)

Joseph G G (1986) A Non-Eurocentric Approach To School Maths Multicultural Teaching, 4(2), 13-14

Joseph G G (1987) Foundations of Eurocentrism in Mathematics, Race & Class, Vol 28, No 3, 13-28

Joseph G G (1989) Turning The Tables, T E S (5 5 89, Pages B22-23)

Julie C, Angelis D and Davis Z (1993) (Eds) Political Dimensions of Mathematics Education: Curriculum Reconstruction For Society In Transition, Johannesburg, South Africa: Maskew, Miller and Longman

Kadodwala D and Demaine J (1988) Multicultural and Antiracist Education: The Unnecessary Divide Curriculum; Vol 9, No 2: Autumn 88, P99-102

Keitel C (1989) (Ed) Mathematics Education and Society, UNESCO, Paris,

Keitel C with Damerow P, Bishop A J and Gerdes P (1989) (Eds) Mathematics, Education and Society (Science and Technology Education Document Series No 35) Paris: UNESCO

Lance D F (1983) Cross-Cultural Studies In Cognition and Mathematics Academic Press: New York

Mathematical Association (1988) Mathematics In A Multicultural Society, Leicester: M A

Mathematical Sciences Education Board (1990) Making Mathematics Work For Minorities Framework For A National Action Plan (1990) 2000 MSEB,

Moore J (1986) Islamic Art Multicultural Teaching, 15

Nickson M (1989) What is Multicultural Mathematics, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Practice, London: Routledge and Kegan Paul (See Dyson Chapter: Multicultural Approach To Mathematics)

Schaaf W L (1963) Our Mathematical Heritage Collier: New York

Shan S J and Bailey P (1991) Multiple Factors Classroom Mathematics For Equality And Justice, Trentham Books

Straker-Welds M (1984) (Ed) Education For A Multicultural Society, London: Bell and Hyman (See Gilbert, D Chapter Multicultural Mathematics)

Walkerdine V (1990) Difference, cognition and mathematics education, For the learning of mathematics, 10(3), 51-6

Wilson B J (1981) Cultural Contexts of Science and Mathematics Education Csse: University of Leeds

Wilson B J (1983) Cultural Contexts of Maths Edn Educational Analysis 5(3) 5-14

Wiltshire Education Authority (1987) Mathematics For All, Salisbury, Wiltshire Education Authority

Woodrow D (1984) Mathematics: Multi-Cultural Issues T E S (11 5 84, Pp 41-42)

Woodrow D (1989) Multicultural and Anti-Racist Mathematics Teaching, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Zaslavsky C (1973) Africa Counts, P W S Publishers, Boston

Zaslavsky C (1979) Africa Counts, New York: Lawrence Hill and Co

Zaslavsky C (1980) Count On Your Fingers African Style, New York: Thomas Crowell

GENDER AND MATHEMATICS

Adams C and Neill H (1985) Girls Into Mathematics, Centre For Mathematics and Education, Ilea

Adler S (1993) Aprons and Attitudes: A Consideration of Feminism In Children's Books, In Claire et al (Eds), Equality Matters, Case Studies From The Primary School, Multilingual Matters Ltd , P111-123

Anderson R J, Hughes J A and Sharrock W W (1986) Philosophy and The Human Sciences, Beckenham: Croom Helm

Anick C M et al (1981) Minorities and Mathematics: Results from the National Assessment of Educational Progress Mathematics Teacher; v74 n7 p560 66 Oct (1981)

Annett M (1994) A Game of Two Halves, Times Higher Educational Supplement, 14 January 1994, Page 22

Antonouris G and Wilson J (1989) Equal Opportunities in School: New Dimensions in Topic Work, Cassell, London p43

APU (1986) Attitudes and Mathematics Windsor, NFER-Nelson

APU (1988) Attitudes and Gender Difference, NFER-Nelson

APU (1991) APU Mathematics Monitoring (Phase 2) National Foundation For Educational Research

APU Maths Monitoring (1984)-88 (Phase 2), Assessment Matters No 3, London: HMSO

Assessment of Performance Unit (1979-81) Mathematical Development: Primary Surveys 1-3 Secondary Surveys 1-3, London: HMSO

Assessment of Performance Unit (1985) A Review of Monitoring In Mathematics 1978 To (1982) (2 Volumes), London: Department of Education and Science

Ayer M and Fennema E (1984) Equity Or Equality? In Women and Education

Belenky M F, Clinchy B M, Goldberger N R and Tarule J M (1986) Women's Ways of Knowing, New York: Basic Books

Berrill R and Wallis P (1976) Sex Roles In Maths Mathematics In School, Vol 5, No 2, p28

Biehler R, Scholz R W, Straesser R and Winkelmann (1984) (Eds) The Didactics of Mathematics as a Scientific Discipline, Dordrecht: Kluwer

Brophy J E and Good L T (1974) Teacher-Student Relationships: Causes and Consequences, New York: Holt, Rinehart and Winston

Brown M (1993) Global Education For Equality, In Claire et al (Eds), Equality Matters, Case Studies From The Primary School, Multilingual Matters Ltd , P91-101

Buerk D (1982) An Experience With Some Able Women Who Avoid Mathematics, For The Learning of Mathematics, Vol 3, No 2, 19-24

Burton L (1977) (Ed) and O U Pm645 Course Team (1977) Girls Into Maths, Cambridge U P, Cambridge

Burton L (1986) (Ed) Girls Into Maths Can Go, London: Holt, Rinehart and Winston

Burton L (1989) Images of Mathematics, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Burton L (1990) Gender and Mathematics: An International Perspective, Cassell

Buxton L (1981) Do You Panic About Maths?, London: Heinemann

Carss M (1986) (Ed) Proceedings of The Fifth International Conference On Mathematical Education, Boston: Birkhauser

Claire H (1992)a) Choices and Use of Resources In The Resource Based Primary Classroom, In Myers, K (Ed), Genderwatch: After The Era, Cambridge University Press, P45-49

Claire H (1992)b) Classroom Organisation, Interaction and Observation, In Myers, K (Ed), Genderwatch: After The Era, Cambridge University Press, P52-57

Clarricoates K (1987) Child Culture At School A Clash Between Gendered Worlds?, In Pollard, A (Ed), Children and Their Primary Schools, The Falmer Press, P188-206

Cockcroft W H (1981) (Ed) Mathematics Counts HMSO, London (See Appendix By H Shuard)

Cockcroft W H (1982) Mathematics Counts: Report of The Committee of Enquiry Into The Teaching of Mathematics In Schools London: Her Majesty's Stationery Office

Coffey A J and Acker S (1993) Girlies On The Warpath: Addressing Gender In Initial Teacher Education, In Gender and Education, 3 (3) (1991), P249-261

Collicott S (1991) A Woman's Place, In Junior Education, May (1991), P14-15

Dambrosio U (1985) Socio-Cultural Bases For Mathematics Education, Campinas, Brazil: Unicamp

DES and The Welsh Office (1987) National Curriculum Working Group Interim Report London: DES

Developmental Psychology 12(2) 147-56 (1976), 14 (3)268-271, (1978)

Dowling P (1991)a) Gender, class and subjectivity in mathematics: a critique of Humpty Dumpty, For the Learning of Mathematics, 11 (1) 2-8

Dowling P (1991)b) A Touch of Class: ability, social class and intertext in SMP 11-16, in Pimm and Love (1991) 137-152

Dunne M and Johnston J (1992) An Awareness of Epistemological Assumptions: The Case of Gender Studies, International Journal of Science Education, 14 (5) 515-526

Dweck C and Respucci C (1975) Learned Helplessness and Reinforcement Responsibility In Children, Journal of Personality and Social Psychology, 25

Dweck C et al (1976, 1978) Sex Differences In Learned Helplessness 1, 2, 3,

Eales A (1986) Girls and Maths At Oadby Beauchamp College, In Burton, L (Ed), Girls Into Maths Can Go, Eastbourne: Holt

Eddowes M (1983) Humble Pi: The Maths Education of Girls, Longman (For Schools Council Programme) London

Eddowes M and Stugeon S B (1981) Mathematics Education and Girls Sheffield City: Poly and British Petroleum

Equal Opportunities Commission (1987), Separate Tables? and Separate Beginnings? EOC, London

Ernest P (1985) Special Educational Needs In Mathematics Castme Journal 6(1) 22-28

Ernest P (1986) Social and Political Values, Mathematics Teaching, No 116, 16-18 (Reprinted In Ernest, (1989)c)

Ernest P (1988) The Attitudes and Practices of Student Teachers of Primary School Mathematics, In A Borbas (Ed ) Proceedings of PME-12, Veszprem, Hungary, 1, 288-295

Ernest P (1988)c) (Ed) The Social Context of Mathematics Teaching (Perspectives 37) Exeter: University of Exeter School of Education

Ernest P (1989) Mathematics Teaching: The State of The Art Falmer: Basingstoke (See Burton and Isaacson Chapters) See Also Perspectives 37 (1988)

Ernest P (1989) Social and Political Values, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Ernest P (1989)a) The Knowledge, Beliefs and Attitudes of The Mathematics Teacher: A Model, Journal of Education For Teaching, 15 (1) 13-33

Ernest P (1989)b) Mathematics-Related Belief Systems, Poster Presented At PME-13, Paris

Ernest P (1989)c) (Ed) Mathematics Teaching: The State of The Art, London, Falmer Press

Ernest P (1990) Aims of Mathematics Education As Expressions of Ideology, In R Noss, A Brown, P Drake, P Dowling, M Harris, C Hoyles and S Mellin-Olsen, Eds , The Political Dimensions of Mathematics Education: Action and Critique, London, Institute of Education

Ernest P (1991) The Philosophy of Mathematics Education, London: Falmer Press

Ernest P (1994) (Ed) Mathematics, Education And Philosophy: An International Perspective, London: Falmer Press

Ernest P (1994a) (Ed) Mathematics, Education and Philosophy: An International Perspective, London: Falmer Press

Fennema E (1974) Mathematics Learning and The Sexes: A Review Journal For Research In Mathematics Education

Fennema E (1979) Women and Girls In Maths Educational Studies In Maths 10, 389-401

Fennema E (1980) Research In Mathematics Education, Reston V A, USA : NCTM

Fennema E (1981) The Sex Factor: Real Or Not In Mathematics Education In (Ed) Mathematics Education Research: Implications For The 80s Association For Supervision and Curriculum Development: Washington DC

Fennema E (1985) Explaining Sex-Related Differences In Mathematics: Theoretical Models, Educational Studies in Mathematics, 16, 303-320

Fennema E and Carpenter T P (1981) Sex Related Differences in Mathematics: Results from National Assessment Mathematics Teacher; v74 n7 p554 59 Oct (1981)

Fennema E and Petersen P (1987) Effective Teaching For Boys and Girls: The Same Or Different? In Berliner, D C and Rosenshine, B V (Eds) Talks To Teachers, New York: Random House

Fennema E and Sherman J (1977) Sexual Stereotyping, Arithmetic Teacher 24(5), 369-372

F l Smith S (1986) Separate Tables, HMSO London

Fox L H, Fennema E, and Sherman J (1977) Women and Mathematics: Research Perspectives For Changes National Institute of Education: Washington

Freire P (1972) Pedagogy of The Oppressed, London: Penguin Books

Fuesy Hyhnke H (May 1977) Update On Sex-Role Stereotyping In Elementary Mathematics Textbooks The Arithmetic Teacher

Gilligan C (1982) In A Different Voice, Harvard U P

Gipps C, (22/10/93) What's The Problem With Girls On Top? Times Educational Supplement

Girls and Mathematics Unit (1988) Girls and Mathematics: Some Lessons For The Classroom, London: Economic and Social Research Council

Glasersfeld E Von (1989) Constructivism In Education, In Husen, T and Postlethwaite, N (Eds)(1989) International Encyclopaedia of Education (Supplementary Volume), Oxford: Pergamon, 162-163

Gödel K (1931) Über Formal Unentscheidbare Sätze Der Principia Mathematica Und Verwandter Systeme I Monatshefte Fur Mathematik Und Physik, Vol 38, 173-198

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan

Gundara J (1993) Changing Ways, In Times Educational Supplement, 3/12/93, P29

Habermas J (1971) Knowledge and Human Interests, London: Heinemann

Hanlon D (1992) Religious Education, In Myers, K (Ed), Genderwatch: After The Era, Cambridge University Press, P190-194

Harding S (1987) (Ed) Feminism and Methodology: Social Science Issues, Milton Keynes: Open University Press

Hellige J B (1993) Hemispheric Asymmetry: What's Right and What's Left, Cambridge, Mass : Harvard University Press

Henle J M (1991) The Happy Formalist, Mathematical Intelligencer, Vol 13, No 1, 12-18

Henriques J, Holloway W, Urwin C, Venn C and Walkerdine V (1984) Changing The Subject, London: Methuen

Hersh R (1988) Mathematics Has A Front and A Back, Paper Presented At Sixth International Congress of Mathematics Education, Budapest, July 27-August 4, (1988)

Hicks D (1989) Understanding The World, In Hicks, D and Steiner, M (Eds), Making Global Connections, Edinburgh; Oliver and Boyd, P2-27

HMI (1989) Girls Learning Maths (Education Observed 14) London: DES

Hofkins D (1993) Professor Calls For Rethink of 3R's, In Times Educational Supplement, 17/12/93, P6

Holdsworth N, (8/10/93) Early Salvoes In The Sex War Times Educational Supplement

Howson A G and Wilson B (1986) (Eds) School Mathematics In The (1990)s, Cambridge: Cambridge University Press

Howson A G and Kahane J P (1990) (Eds) The Popularisation of Mathematics,Cambridge: Cambridge University Press

Hoyles C (1992) Illumination and Reflections: Teachers, Methodologies and Mathematics, In Geeslin, W and Graham, K (Eds) Proceedings of PME-16, Durham, New Hampshire, 3, 263-286

Husen T (1967) International Study of Achievement InMathematics John Wiley and Sons

ILEA (1986) Everyone Counts Ilea, London

Isaacson Z (1989) Of course you could be an Engineer, dear, but wouldn't you rather be a Nurse or Teacher or Secretary? , in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Joffe L and Foxman D D (1984) Assessing Mathematics 5 Attitudes and Sex Differences: Some APU Findings Mathematics In School; v13 n4 p22 26 Sep (1984)

Julie C, Angelis D, Davis Z, (1993) (Eds) Political Dimensions of Mathematics Education: Curriculum Reconstruction For Society In Transition, Johannesburg, South Africa: Maskew, Miller and Longman

Kepner H S and Koehn L R (May 1977) Sex Roles In Mathematics; A Study of The Status of Sex Stereotypes In Elementary Mathematics Texts The Arithmetic Teacher

Lindquist M M (1980) (Ed) Selected Issues In Mathematics Education Mccutcheon, Berkeley (Chap 11)

Mahony P (1985) Explorations In Feminism: Schools For The Boys: Co-Education Reassessed, Hutchinson: London

Marshall S P (1983) Sex Differences in Mathematical Errors: An Analysis of Distracter Choices Journal for Research in Mathematics Education; v14 n5 p325 36 Nov (1983)

Matthews W et al (1984) The Third National Assessment: Minorities and Mathematics Journal for Research in Mathematics Education; v15 n2 p165 71 Mar (1984)

Maxwell J (1989) Mathephobia, In Ernest, P Ed Mathematics Teaching: The State of The Art, Basingstoke: Falmer Press, (1989), 221-226

Meighan R (1986) A Sociology of Educating, Eastbourne: Holt, Rinehart and Winston

Moore E G J and Smith A W (1987) Sex and Ethnic Group Differences in Mathematics Achievement: Results from the National Longitudinal Study Journal for Research in Mathematics Education; v18 n1 p25 36 Jan (1987)

Morehead G (November (1984) Nice Girls Don't Do Maths Mathematics In School

Mosely F (1985) Everybody Counts: Looking For Bias and Insensitivity In Primary Mathematics Materials, London: ILEA Centre For Learning Resources

National Council of Teachers of Mathematics (1980) An Agenda For Action, Reston, Virginia: National Council of Teachers of Mathematics NCTM

National Council of Teachers of Mathematics (1989) Curriculum and Evaluation Standards For School Mathematics, Reston, Virginia: National Council of Teachers of Mathematics

National Curriculum Council (NCC) (1989) Mathematics, Non-Statutory Guidance, York: National Curriculum Council

Open University (1986) Girls Into Maths, Cambridge University Press

Ou/ILEA (1986) Video Girls Into Maths: Milton Keynes: The Open University

Pearce R, Times Educational Supplement (5/11/93) Let Lippiness Go Unrewarded

Reay D (1993) He Doesn't Like You, Miss: Working With Boys In An Infant Classroom, In Claire, H et al (Eds), Equality Matters, Case Studies From The Primary School, Multilingual Matters Ltd , P13-21

Restivo S (1992) Mathematics In Society and History, Dordrecht: Kluwer

Reyes L H (1981) Attitudes and Maths

Rose J (1989) A Parents Voice, In Skelton, C (Ed), Whatever Happens To Little Women?, Milton Keynes, Oup P11-21

Royal Society/IMA (1986) Girls and Mathematics London: Royal Society (Summary In MA News No 5, 15-18)

Saunders T (1992) Racing Towards Equality, In Junior Education, January (1992), P12-13

Sells L (1973) High School Mathematics As The Critical Filter In The Job Market, Proceedings of The Conference On Minority Graduate Education, Berkeley: University of California, 37-49

Sharma S and Meigham R (1988) Schooling and Sex Roles Mathematics British Journal of Sociology of Education 1(2) Pp 193-205

Sharman J (1977) Effects of Biological Factors On Sex-Related Differences In Mathematics Attainment In Nie Papers In Education and Work, No 8

Sheffield City Poly (1981) Mathematics Education and Girls London: ESRC

Shelley N (1984) Women, Culture and Mathematics Paper Presented At Icme-5Conference, Adelaide, (1984) Excerpt Reprinted In Carss, M Ed (1986) Proceedings of The Fifth International Conference On Mathematical Education, Boston: Birkhauser, 313

Sherman J A (April: 1967) Problem of Sex Differences In Space Perception and Aspects of Intellectual Functioning Psychological Review

Shuard H (1986) Primary Maths Today and Tomorrow SCDC Publications: Longman

Skelton C (1988) Demolishing The House That Jack Built: Anti-Sexist Initiatives In The Primary School, In Carrington, B and Troyna, B (Eds), Children and Controversial Issues, London; Falmer, P156-169

Skelton C and Hanson J (1989) Schooling The Teachers: Gender and Initial Teacher Education, In Acker, S (Ed), Teachers, Gender and Careers, The Falmer Press, P109-122

Smith S (1986) Separate Tables? An Investigation Into Single-Sex Setting In Mathematics, HMSO, London

Smith S (1987) Separate Beginnings? London; Equal Opportunities Commission

Smith S and Trickey S (1987) The Segregation of Girls In Maths, Department of Education, Sheffield City Polytechnic

Swann J and Graddol D (1988), Gender Inequalities In Classroom Talk, In English In Education, 22 (1) (1988), P48-65

Tetreault M K T (1986) The Journey From Male-Defined To Gender-Balanced Education In Theory Into Practice, Autumn (1986), 23 (4), 227-234

Walden R and Walkerdine V (1982) Girls and Mathematics: The Early Years (Bedford Way Papers 8), London: Institute of Education, University of London

Walden R and Walkerdine V (1985) Girls and Mathematics (Bedford Way Papers 24 and 8), London: Institute of Education)

Walden R and Walkerdine V (1985) Girls and Mathematics: From Primary To Secondary Schooling, (Bedford Way Papers 24), London: Heinemann

Walkerdine V (1984) Developmental Psychology and The Child-Centred Pedagogy: The Insertion of Piaget Into Early Education, In Henriques, J , Holloway, W , Urwin, C , Venn, C and Walkerdine, V (1984) Changing The Subject, London: Methuen, 153-202

Walkerdine V (1988) The Mastery of Reason, London: Routledge

Walkerdine V (1989) Counting Girls Out, Women's Press

Walkerdine V (1989) Femininity As Performance, Oxford Review of Education, Vol 15, No 3, 267-279

Walkerdine V (1990) Difference, cognition and mathematics education, For the learning of mathematics, 10(3), 51-6

Walkerdine V (1990)a) Difference, Cognition and Mathematics Education, For The Learning of Mathematics, Vol 10, No 3, 51-56

Walkerdine V (1990)b) Post-Structuralism and Mathematics Education, In Noss, R , Brown, A , Drake, P , Dowling, P , Harris, M , Hoyles, C and Mellin-Olsen, S Eds (1990) Political Dimensions of Mathematics Education: Action and Critique (Proceedings of The First International Conference, April 1-4, (1990), London: University of London Institute of Education

Walkerdine V (Forthcoming) Reasoning In A Post-Modern Age, In Ernest, P Ed (Forthcoming) Mathematics, Education and Philosophy: An International Perspective, London: Falmer Press

Walkerdine V and Lucey H (1989) Democracy In The Kitchen, London: Virago

Walkerdine V and The Girls and Mathematics Unit (1989) Counting Girls Out, London: Virago (Isbn 1-85381-069-X)

Weiner G, In Deem, R Ed (1980) Schooling For Women's Work Routledge and Kegan Paul

White A (1993) (Ed) Essays In Humanistic Mathematics, Washington, D C : Mathematical Association of America

Whyte J (1983) Beyond The Wendy House: Sex Role Stereotyping In Primary Schools, Schools Council Programme 3, Longman

Wilkinson S (1992) Economic and Industrial Understanding, In Myers, K (Ed), Genderwatch: After The Era, Cambridge University Press, P114-116

Willis S (1989) Real Girls Don't Do Maths Geelong, Australia: Deakin) (510 7 Wil

Wood R (1976) Sex Differences In Mathematical Attainment At GSE O Level Educational Studies 2(2) 141-160

Wood R (1977) Cables Comparison Mathematics In School 6(4), 18-21

Zimit S (1976) Print and Prejudice London: Hodder and Stoughton

POLITICAL VALUES AND MATHS

Agassi J (1980) On Mathematics Education: the Lakatosian Revolution, For the Learning of Mathematics, Vol 1, No 1, 27-31

Agassi J (1982) Mathematics Education as Training for Freedom, For the Learning of Mathematics, Vol 2, No 3, 28-32

Biehler R, Scholz R W, Straesser R and Winkelmann (1984) (Eds) The Didactics of Mathematics as a Scientific Discipline, Dordrecht: Kluwer

Dambrosio U (1985) Socio-Cultural Bases For Mathematics Education, Campinas, Brazil: Unicamp

Ellul J (1980) The Technological System Continuum Publishing: New York

Ernest P (1986) Social and Political Values Mathematics Teaching 116 (Sept (1986), 16-18

Ernest P (1988) (Ed) The Social Context of Mathematics Teaching; Perspectives 37 University of Exeter See Editors Intro and Chaps 4 and 6 Especially

Ernest P (1988)c) (Ed) The Social Context of Mathematics Teaching (Perspectives 37) Exeter: University of Exeter School of Education

Ernest P (1989) (Ed) Mathematics Teaching: The State of The Art Basingstoke: Falmer

Ernest P (1989) Social and Political Values, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Ernest P (1989) The Philosophy of Mathematics Education London: Falmer

Ernest P (1994) (Ed) Constructing Mathematical Knowledge: Epistemology and Mathematics Education, London: Falmer Press

Ernest P (1994) (Ed) Mathematics, Education And Philosophy: An International Perspective, London: Falmer Press

Evans J (1989) The Politics of Numeracy, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Fasheh M (1982) Mathematics Culture and Authority For The Learning of Mathematics 3(2), 208

Fasheh M (1982) Mathematics, Culture and Authority, In For The Learning of Mathematics, 3, Ii, 2-8

Frankenstein M (1983) Critical Mathematics Education: An Application of Paulo Freires Epistemology, Journal of Education, Vol 165, No 4, 315-339

Frankenstein M (1989) Relearning Mathematics : A Different Third R Radical Mathematics Free Association Books

Gerdes P (1981) Changing Mathematics Education in Mozambique, Educational Studies in Mathematics, Vol 12, 455-477

Gerdes P (1985) Conditions and strategies for emancipatory mathematics education in underdeveloped countries, For the Learning of Mathematics, Vol 5, No 1, 15-20

Gerdes P (1986) Changing Mathematics Education In Mozambique Educational Studies in Mathematics Vol 12

Gill D (1986) The Politics of Percent Mathematics Teaching 114 (March (1986) 12-14

Habermas J (1971) Knowledge and Human Interests, London: Heinemann

Habermas J (1971) Towards A Rational Society Heinemann, London

Harris M (1982) Turn Upside-down and Multiply Struggles: Mathematics For Low Attainers No 9 ILEA

Hersh R and Davis P (1988) Descartes Dream Penguin Book, Harmondsworth

Irvine John/Miles Ian/Evans Jeff (Eds)(1979) Demystifying Social Statistics London: Pluto Press

Keitel C with Damerow P, Bishop A J and Gerdes P (1989) (Ed) Mathematics, Education and Society (Science and Technology Education Document Series No 35) Paris: UNESCO

Maxwell J (1985) Hidden Messages Mathematics Teaching 111 (June (1985), 18-19

Maxwell J (1986)?) Is Mathematics Politically Neutral? Teaching Politics, 321 - 329

National Consumer Council (1986) Classroom Advertisements, London: National Consumer Council

Noddings N (1987) Politicizing the mathematics classroom, Zentralblatt fur Didaktik der Mathematik, Vol 21, No 6, 221-224

Noss R (1989) The National Curriculum and Mathematics: a case of divide and rule? Paper presented at RSPME Conference, June (1989), Institute of Education, University of London

Noss R (1989)a) Just Testing: A Critical Review of Recent Change in the United Kingdom School Mathematics Curriculum, in Clements and Ellerton (1989), 155-169

Noss R, Brown A, Drake P, Dowling P, Harris M, Hoyles C and Mellin-Olsen S (1990) (Eds) Political Dimensions of Mathematics Education: Action and Critique (Proceedings of the First International Conference, April 1-4, (1990), London: University of London Institute of Education

Pimm D (1988) Speaking Mathematically Blackwell, Oxford

Sells L W (1978) Mathematics - Critical Filter The Science Teacher Feb Pp 28-29

Sewell B (1981) Use of Mathematics By Adults In Everyday Life Leicester ACACE

Skovsmose O (1985) Mathematical Education versus Critical Education, Educational Studies in Mathematics, Vol 16, 337-354

Stanfield-Potworowski J (1988) Socialising Mathematics, Mathematics Teaching, No 125, 3-8

Swetz F (1979) Socialist Mathematics Education, Boston: Burgundy Press

Wain G J (1978) Mathematics Education, Van Nostrand, London (Chapter 3 Especially)

Walkerdine V (1988) The Mastery of Reason, London: Routledge

Weizenbaum J (1984) Computer Power and Human Reason Penguin: London

Wilson B (1981) Cultural Contexts of Science and Mathematics Education Csse: University of Leeds

Wilson B (1983) Cultural Contexts of Maths Edn Educational Analysis 5(3) 5-14

SPECIAL EDUCATIONAL NEEDS AND MATHS ABILITY

Ablewhite R C (1969) Mathematics and Less Able Heinemann: London

Ahmed A (1987) Better Mathematics HMSO: London

Ahmed A et al (1985) Maths For Low Attainers WSIHE

ATM (Undated) Ideas For Slow Learners 1 and 2 ATM: Derby

Ball S (1981) Beachside Comprehensive, O U P (P 212 - 215)

Baroody A J (1988) Mental-Addition Development of Children Classified As Mentally Handicapped, Journal Name: Educational Studies in Mathematics; Vol 19, No 3: Aug 88 P369-388

Bell P and Kerry T (1982) Teaching Slow Learners DES Te Project

Biehler R, Scholz R W, Straesser R and Winkelmann (1984) (Eds) The Didactics of Mathematics as a Scientific Discipline, Dordrecht: Kluwer

Biggs E E (1985) Teaching Mathematics 7-13: Slow Learners and Able Pupils NFER/Nelson: Windsor

Bishop A J and Nickson M (1983) A Review of Research In Mathematics Education, Part B, NFER - Nelson

Blackwell A M (1940) A Comparative Investigation Into The Factors Involved In Mathematical Ability In Boys and Girls, British Journal of Educational Psychology, Vol 10

Booth T, Potts P and Swann W (1987) (Eds) Preventing Difficulties In Learning, Blackwell, 155-162

Brissenden T H F, Mathematics Teaching

Buxton L (1981) Do You Panic About Maths? Heinemann: London

Cockcroft W H (1982) (Chair), Mathematics Counts, HMSO

Dean P G (1982) Teaching and Learning Mathematics, The Woburn Press

Dekker R, Span P and Overtoom-Corsmit R (1990) Gifted Education International; Vol 6, No 3: 90, P143-148

Denton C and Postlethwaite K (1984) Able Children - Identifying Them In The Classroom, Windsor, NFER-Nelson

Denvir B, Stolz C and Brown M (1982) Teaching Slow Learners DES TE Project Macmillan, Basingstoke

DES (1978) Primary Education In England, HMSO

Deveaux B (1992) Multiplication Tables, The Dyslexic Child, Any Child, Links; Vol 17, No 2: Spring 92 P20-22

Dickson L, Brown M and Gibson O (1984) Children Learning Mathematics Holt: Eastbourne

Ernest P (1985) SEN In Mathematics Castme Journal 6(1) 22-28

Ernest P (1991) The Philosophy of Mathematics Education, Falmer Press, London (Chapter 11)

Farnham-Diggory S (1978) Learning Disabilities Fontana/Open Books: London

Gardner H (1984) Frames of Mind, London, Heinemann

Glennon V J (1981) (Ed) The Mathematical Education of Exceptional Children and Youth, Virginia, NCTM

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

HMI (1984) Slow Learning and Less Successful Pupils In Secondary Schools, DES, July

Howe M J A (1989) Fragments of Genius, London: Routledge

Howe M J A (1990) The Origins of Exceptional Abilities, Oxford: Blackwell

Kaner P (1982) Integrated Mathematics Scheme Copy Masters Sm1, Sm2, Books L1, L2 and L3: Teachers Book T1 Bell and Hyman: London

Krutetskii V A (1976), The Psychology of Mathematical Abilities In School Children, University of Chicago Press

Larcombe T (1985) Maths Learning Difficulties in the Secondary School, Milton Keynes: OU

Larcombe T (1987) Differentiation: Rhetoric Or Practice, Support For Learning; Vol 2, No 4: Nov 87 P46-50

Lorenz J H (1982) On Some Psychological Aspects of Mathematics Achievement, Assessment and Classroom Interaction, Educational Studies in Mathematics

Low Attainers In Mathematics Project (1987) Better Mathematics, HMSO, London

Mcintyre D, Brown S (1979) The Conceptualisation of Attainment, British Journal of Educational Research

National Council of Teachers of Mathematics (1972) The Slow Learner In Mathematics (1972 Year Book) NCTM, Reston Va

Rees R and Barr G (1984) Diagnosis and Prescription: Some Common Maths Problems Harper: London

Reid M et al (1981) Mixed Ability Teaching: Problems and Possibilities, NFER - Nelson

Ruthven K (1986) Differentiation in mathematics: A critique of Mathematics Counts and Better Schools, Cambridge Journal of Education, Vol 16, No 1, (1986), 41-45

Ruthven K (1987) Ability Stereotyping In Mathematics, Educational Studies in Mathematics, Vol 18, 243-253

Schools Council (1975) Teaching Materials For Disadvantaged Children (Curriculum Bulletin 5 ) Evans/Methuen: London

Schools Council (1977) Teaching Mixed Ability Mathematics, Evans/Methuen

Straker A (1982) Mathematics For Gifted Pupils, York, Longmans For Schools Council

Struggle: Mathematics For Low Attainers Journal: Published By ILEA In Library

Sutherland P (1988) Dyscalculia, Acalculia, Dysgraphia Or Plain Innumerate?: A Brief Survey of The Literature, Education Section Review - British Psychological Society; Vol 12, No 1: 88 P11-12

Suydam M N (May (1984) What Research Says; Helping Low-Achieving Pupils In Maths School Science and Mathematics 84(5), 437-441

Tansley A E and Gulliford R (1960) The Education of Slow Learning Children, Routledge and Kegan Paul

Tobias S (1980) Overcoming Math Anxiety Houghton-Mifflin: Boston

Turnbull J (1981) Maths Links NARE

Vance J H (January (1986) Low Achiever In Maths: Readings Arithmetic Teacher

Vernon P E et al (1977) The Psychology and Education of Gifted Children, London, Clay

Watson P R (1976) Developments In Maths Teaching, Open Books, (See Indexes)

Whittington J E (1985) Identification and Investigation of Dyscalculia, PhD D Thesis, Bath

Wragg E C (1976) (Ed) Teaching Mixed Ability Groups, David and Charles, (Chap 7 On Maths)

Wrigley J (1958) The Factorial Nature of Ability In Elementary Mathematics, British Journal of Educational Psychology, Vol 28

LANGUAGE AND MATHEMATICS

Adekula L O (1990) Language Factor: Does It Affect Children's Performance On Word Problems Educational Studies in Mathematics (21 Pp 351-365)

Aiken L R, Language Factors In Learning Maths Review of Educational Research 42(3)

Austin J L and Howson A G, Language and Mathematical Education Educational Studies in Mathematics (Vol 10 P 161-197)

Bell A W (1980) Nature of Mathematical Learning In Archenold Orton and Driver (1980) Cognitive Research In Science and Maths University of Leeds (See Science Education Section 507 Arc?) (Pages 156-180)

Bell A W et al (1983) A Review of Research On Mathematical Education Part A NFER-Nelson : Windsor

Bell A W, Costello J and Küchemann D E (1983) A Review of Research In Mathematical Education Part A: Teaching and Learning, NFER-Nelson, Windsor (Language Chapter)

Bernard J E (1983) An Essay On Perception and Understanding of Mathematical Symbolism Int J Math Educ Sci Technol , Vol 14, No 4 : Jul-Aug 83 P489-496

Biehler R, Scholz R W, Straesser R and Winkelmann (1984) (Eds) The Didactics of Mathematics as a Scientific Discipline, Dordrecht: Kluwer

Chase S (1938) The Language of Mathematics The Tyranny of Words (Pp 96-111) Methuen : London)

Christiansen B et al (1985) Perspectives In Mathematics Education Reidel : Dordrecht

Clarkson D (1973) Children Talking Mathematics Unpublished M Ed Thesis University of Exeter

Cockcroft W (1982) Mathematics Counts HMSO : London

Cuevas G J (1984) Mathematics Learning In English As A Second Language Journal For Research Into Mathematics Education

Davis R B (1984) Learning Mathematics: The Cognitive Science Approach to Mathematics Education, Beckenham, Kent: Croom Helm

Dickson L, Brown M and Gibson D (1984) Children Learning Mathematics: A Teachers Guide To Recent Research, Holt Education, Eastbourne (Last Section)

Donaldson M (1978) Children's Minds, Fontana, London

Earle R A (1976) Teaching Reading and Maths Ira : Delaware

Ernest P (1987) Understanding The Language of Mathematics Castme Journal Volume 7, No 2, 10-15

Ernest P (1987)a) A Model of the Cognitive Meaning of Mathematical Expressions, British Journal of Educational Psychology 57, 343-370

Ernest P (1987)b) Understanding the Language of Mathematics, CASTME Journal 7 (2) 10-15

Ernest P (1990) The Meaning of Mathematical Expressions: Does Philosophy Shed Any Light On Psychology? British Journal For The Philosophy of Science, In Press

Ernest P (1994) (Ed) Constructing Mathematical Knowledge: Epistemology and Mathematics Education, London: Falmer Press

Evans J (1988)a)Contexts and Performance In Numerical Activity Among Adults, In Borbas (1988) Proceedings of PME 11 Proceedings of PME 11, Volume 1, 296-303

Falotiun O C (1986) Linguistic Homogeneity Castme Journal (6(4) Pp 44-49)

Floyd A (1981) (Ed) Developing Mathematical Thinking Ou Press : Milton Keynes (See Pimm and Slobin)

Glenn J A (1977) Teaching Primary Maths Harper : London

Glenn J A (1978) The Third R Harper and Row : London

Hart K A (1981) Children's Understanding of Mathematics 11-16 Murray : London

Harvey R et al (1982) Language Teaching and Learning 6: Mathematics Wardlock : London

Henricks M and Sisson T (April (1980) Mathematics and The Reading Process Mathematics Teacher 73(4) 253-257

HMI (1985) Mathematics From 5 To 16 HMSO : London

Hoyles C (1986) What's The Point of Group Discussion In Mathematics, Educational Studies in Mathematics Vol

Hughes M (1986) Children and Number, Basil Blackwell, Oxford

Jones P L (1982) Learning Mathematics In A Second Language: A Problem With More and Less Educational Studies in Mathematics (13 Pp 269-287)

Kane R (1967) Readability of Mathematical English Journal of Research In Science Teaching (Vol 5)

Krulik S (April (1980) To Read Or Not To Read Mathematics Teacher 73(4) 248-252

Leon G A, Lements M A and Del Campo G (1990) Linguistic and Pedagogical Factors Affecting Children's Understanding of Arithmetic Word Problems Educational Studies in Mathematics (21 Pp 165-191)

Lichtenberg D R (Feb 1978) The Use and Misuse of Mathematical Symbolism Arithmetic Teacher 25(5) 12-17

Liebeck P (1984) How Children Learn Mathematics, Penguin Books, Harmondsworth (Pp 15-6, 80-81)

Loveh J C (1980) Bilingual Education Arithmetic Teacher (April (1980) Pp 14-17)

Mason K and Ruddock G (1986) APU: Decimals, Assessment at Age 11 and 15, NFER Nelson

Mathematical Association (1987) Maths Talk Ma/Thorne : Cheltenham

Matthews W (1984) Influences On The Learning and Participation of Minorities In Mathematics Journal For Research Into Mathematics Education (15 Pp 84-95)

Nicholson A (1980) Mathematical Literacy Mathematics In School 9(2)

Pimm D (1987) Speaking Mathematically Routledge : London

Resnick, Nesher, Leonard, Magone, Omanson and Peled (1989) Conceptual Bases of Arithmetic Errors: The Case of Decimal Fractions, Journal for Research in Mathematics Education, Vol.20, No.1

Shuard H (1986) Primary Mathematics Today and Tomorrow, Longman, London (P96-99)

Shuard H and Rothery A (1984) Children Reading Mathematics John Murray : London

Sierpinska A (1994) On Understanding in Mathematics London: Falmer

Sinha D K (Ed) (1984) Proceedings On Mathematical Linguistics Language Education (Calcutta)

Skemp R R (1979b) Goals of Learning and Qualities of Understanding Mathematics Teaching No 88 44-49

Skemp R R (1981) The Psychology of Learning Mathematics Penguin : Harmondsworth

Skemp R R (1982) Communicating mathematics: surface structures and deep structures Visible Language 16 (3) pp 281-288

Skemp R R (Summer (1982) (Ed) Visible Language XVI (3) Understanding The Symbolism of Mathematics

UNESCO (1974) Interactions Between Linguistics and Mathematics Education UNESCO: Paris

Vygotsky L (1978) Mind in Society Cambridge Massachusetts: Harvard University Press

Walkerdine V (1988) The Mastery of Reason London: Routledge

Whorf B L (1956) Language, Thought and Reality: Selected Writings of B L Wharf Ed B Carroll Mit : Cambridge Mass USA

Wilder R L (1981) Mathematics as a Cultural System, Oxford: Pergamon Press

PARENTS AND MATHS

Banks O and Finlayson D (1973) Success and Failure In Secondary School London, Methuen Pages 112-5

Brough N et al (1988) Help Your Child With Maths (Prime) BBC Publications

Leibeck P (1984) How Children Learn Mathematics (A Guide For Parents and Teachers) Penguin: England

Graham A (1986) Helping Your Child With Maths Fontana

HMSO (1966) Children and Their Primary Schools, The Plowden Report

Matthews W (1984) Influences On The Learning and Participation of Minorities In Mathematics Journal For Research Into MathematicsEducation, Vol.15

Merthens R and Vass J (1990) Sharing Maths Cultures London: Falmer

Merthens R, Mayers D, Brown A and Vass J (1993) (Eds) Ruling the Margins: people and practices in parental involvement, London, The University of North London Press

Raven J (1980) Parents, Teachers, Children Hodder and Stoughton

Thornes Stanley (1987) Sharing Mathematics With Parents Mathematical Association: Leicester

Mathematical Association (1987) Sharing Mathematics With Parents, Stanley Thornes.

MATHEMATICS, WORK AND NUMERACY

Baker K (1987) Letter To D Graham In National Curriculum Council (1989) Consultation Report: Mathematics, York: NCC, Pages 91-94

Baker K (1988) Letter In Mathematics Working Group (1988) Mathematics For Ages 5 To 16, London, DES, Pages 99-101

Department of Education and Science (1983) Blueprint for Numeracy: An employers guide to the Cockcroft Report, London: Department of Education and Science

Dore R P (1976) The Diploma Disease, London: Allen and Unwin

Dowling P (1988) The Contextualising of Mathematics: Towards a Theoretical Map, in Harris, M Ed Schools, Mathematics and Work, London, Falmer, (1991), pp 93-120

Evans J (1989) The Politics of Numeracy, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Further Education Unit (1982) Basic Skills, London: Further Education Unit, Department of Education and Science

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Howson A G, Kahane J P, Lauginie P and Turckheim E de (1988) (Eds) Mathematics as a Service Subject, Cambridge: Cambridge University Press

Institute of Mathematics and its Applications (1984) Mathematical Needs of School Leavers Entering Employment: 1, Southend, Essex: Institute of Mathematics and its Applications

Lawlor S (1988) Correct Core, London Centre For Policy Studies

Letwin O (1988) Aims of Schooling, London: Centre for Policy Studies

Paulos, A (1991) Innumeracy, London: Penguin Books

Pollak H (1988) Mathematics as a Service Subject - Why? in Howson et al

Prais S J (1987) National Curriculum Mathematics Working Group: Interim Report, Note of Dissent (dated 30 November (1987), London: National Institute of Economic and Social Research

Prais S J (1987) Note of Dissent and Further Response (Unpublished Papers, CSTIT-NC Collection)

Prais S J (1987)a) Further Response to National Curriculum Mathematics Working Group (unpublished paper dated 10 December (1987)

Prais S J (1988) Adding Up To Numeracy, Guardian 23 2 (1988), Page 21

Skovsmose O (1985) Mathematical Education versus Critical Education, Educational Studies in Mathematics, Vol 16, 337-354

Skovsmose O (1988) Mathematics as a Part of Technology, Educational Studies in Mathematics, Vol 19, No 1, 23-41

Skovsmose O (1994) Towards a Philosophy of Critical Mathematics Education, Dordrecht: Kluwer

SMP In-service Resource Kit: (1983) Numeracy (Copies In MARC and Maths Store)

THE LEARNING OF MATHEMATICAL TOPICS

NUMBER CONCEPTS AND OPERATIONS

Adler I (1966) Mental Growth and The Art of Teaching, Arithmetic Teacher, November 1966, 576-584: Mathematics Teacher, December 1966, 706-715: Aichele, D B and Reys, R E Eds (1971) Readings In Secondary School Mathematics, Prindle Weber and Schmidt, Boston, 214-225

APU (1986) A Review of Monitoring In Mathematics 1978 To 1982, DES, London (Chapter 2)

Bergeron J C, Herscovics N and Moser J M (1986), Long Term Evolution of Students Conceptions: An Example from Addition and Subtraction, in Carss, M Ed (1986) Proceedings of the Fifth International Conference on Mathematical Education, Boston: Birkhauser, 275-277

Bidwell J K (1969) Learning Structures of Arithmetic, Arithmetic Teacher, April, 1969, 263-8

Brown C A et al (1988) Secondary School Results for the Fourth NAEP Mathematics Assessment: Discrete Mathematics, Data Organization and Interpretation, Measurement, Number and Operations Mathematics Teacher; v81 n4 p241 48 Apr (1988)

Brown M and Kuckemann D E (1976, 77, 81) Is It An Add Miss? Parts 1, 2 and 3, Mathematics In School 5(5) 15-17 (1976), 8(1) 9-10 (1977), 10(1) 13-15 (1981)

Cambridge Institute of Education (1985) New Perspectives On The Mathematics Curriculum, DES, London (Chapter 3)

Carpenter T P and Moser J M (1982) Addition and Subtraction: A Cognitive Perspective, Lawrence Erlbaum, Hillsdale, N J

Carpenter T P, Corbitt M K, Kepner H S, Lindquist M M and Reys R E (1981) Results From The Second Mathematics Assessment of The NAEP, NCTM, Reston Va (Chapter 4)

Cockcroft W H (1982) Mathematics Counts, HMSO

Copeland R W (1984) How Children Learn Mathematics, Macmillan, New York

Dickson L, Brown M and Gibson O (1984) Children Learning Mathematics (Chapters 3 and 4) Holt, Eastbourne

Donaldson M (1978) Children's Minds, Fontana, Glasgow

Duffin J (1991) Written Algorithms, Mathematics In School; Vol 20, No 4: Sep 91, P41-43

Floyd A (1981) Developing Mathematical Thinking, Addison-Wesley, London (Chapter 16)

Ford W W, Resnick L and Psychology of Maths for Instruction (1981) (Chaps 2, 4, 8) Lawrence Erlbaum, Hillsdale, N J

Gelman R and Galistel C R R (1978) The Child's Understanding of Number, Harvard University Press

Ginsburg H P (1977) Children's Arithmetic: The Learning Process, Van Nostrand, New York

Ginsburg H P (1983) (Ed) The Development of Mathematical Thinking, (Chapters 2 To 5) Academic Press, New York

Glenn J A (1978) The Third R, Harper and Row, London

Gray E M (1991) An Analysis of Diverging Approaches to Simple Arithmetic: Preference and Its Consequences Educational Studies in Mathematics; v22 n6 p551 74 Dec (1991)

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Hart K A (1981) Children's Understanding of Mathematics 11-16, (Chapter 3) John Murray, London

Hughes M (1986) Children and Number, Blackwell, Oxford

Jensen R J (1993) (Ed) Research Ideas for the Classroom: Early Childhood Mathematics, New York: Macmillan

Kouba V L et al (1988) Results of the Fourth NAEP Assessment of Mathematics: Number, Operations, and Word Problems Arithmetic Teacher; v35 n8 p14 19 Apr (1988)

Lesh R and Landau M (1983) (Eds) Acquisition of Mathematics Concepts and Processes (Chapter 2) Academic Press, New York

Liebeck P (1984) How Children Learn Mathematics, Penguin, Harmondsworth

Owens D T (1993) (Ed) Research Ideas for the Classroom: Middle Grades Mathematics, New York: Macmillan

Payne J N (1975) (Ed) Mathematics Learning In Early Childhood (Chapter 3) NCTM 37th Yearbook, (Chapter 3) NCTM, Reston, Va

Piaget J (1952) The Child's Conception of Number, Routledge and Kegan Paul, London

Piaget J (1953) How Children Form Mathematical Concepts, Scientific American, November 1953

Resnick L E and Ford W W (1981) The Psychology of Mathematics For Instruction, Lawrence Erlbaum, London

Romberg T A (1982) in Carpenter T P and Moser J M (1982) Addition and Subtraction: A Cognitive Perspective, Erlbaum, Hillside, N J

Trivett J V (1977) Which Researchers Help Teachers Do Their Job?, Mathematics Teaching 78, (March 1977)

Weissglass J (1979) Exploring Elementary Mathematics Wh Freeman (1979)

Williams J D (1971) Teaching Technique In Primary Mathematics, NFER, Windsor

ADDITION AND SUBTRACTION

(1992) Learning Subtraction In A Special School: A Self-Instructional Training Strategy For Educable Mentally Retarded Children With Arithmetic Deficits British Educational Research Journal; Vol 18, No 1: P37-44

A P U (1980)-82) Mathematical Development (Secondary Reports 1 (Ch 3), 2 (Chs 1, 3), Primary 1 (Ch 1) HMSO, London

A P U (1986) A Review of Monitoring In Mathematics 1978 To (1982) (Chapter 2) DES, London

Aalsvoort, G M Van Der; Luit J E H Van (1985) Learning Subtraction In A Special School: A Self-Instructional Training Strategy For Educable Mentally Retarded Children With Arithmetic Deficits Instructional Science; Vol 14, No 2: (Oct.) P179-189

Ashlock R B (1982) Error Patterns In Computation, Merrill, Columbus

Baroody Arthur J (1988) Mental-Addition Development of Children Classified As Mentally Handicapped, Journal Name: Educational Studies in Mathematics; Vol 19, No 3: Aug 88, P369-388

Baxter P and Dole S (1990) Working With The Brain, Not Against It: Correction of Systematic Errors in Subtraction British Journal of Special Education, 17(1), 19-22

Bell A W (1983) A Review of Research In Mathematical Education Part A Costello, J and (Chapter 6) NFER-Nelson, Windsor Küchemann, D E

Booth L R (Feb (1981) Child Methods in Secondary Mathematics Educational Studies in Mathematics 12(1) 29-41

Brown J and Van Lehn K (1982) Towards a Generative Theory of Bugs IN Carpenter T P et al (Eds) Addition and Subtraction: A Cognitive Perspective New Jersey: Lawrence Erlbaum Associates

Brown J S and Burton R R (1978) Diagnostic Models for Procedural Bugs in Basic Mathematical Skills Cognitive Science, 2, 155-192

Brown M and Küchemann D E (1976) Is It An Add Miss? Parts 1, 2, and 3, (1977, (1981) Mathematics In School 5(5) 15-17 (1976), 8(1) 9-10 (1977), 10(1) 13-15 (1981)

Burton R R (1981) DEBUGGY: Diagnosis of Errors in Basic Mathematical Skills In DH Sleeman and JS brown (Eds) Intelligent Tutoring Systems London: Academic Press

Cambridge Institute (1985) New Perspectives On The Mathematics Curriculum of Education (Chapter 3) DES, London

Carpenter T P (1981) Results From The Second Mathematics Assessment of Corbitt, M K , The NAEP (Chapter 4), Kepner, H S , NCTM, Reston Va

Carpenter T P et al (1976) Notes From National Assessment: Word Problems, Arithmetic Teacher 23(5), 389-393 (May 1976)

Carpenter T P et al (1980) Solving Verbal Problems, Arithmetic Teacher 27, 8-12 (Sept (1980)

Carpenter T P, Moser J M and Romberg T (1982) Addition and Subtraction: A Cognitive Perspective, Lawrence Erlbaum, Hillsdale, NJ

Chelsea Diagnostic Mathematics Tests (1984) NFER-Nelson

Cooper T J and Christensen C A (1992) The Role of Cognitive Strategies In The Transition From Counting To Retrieval of Basic Addition Facts

Cox L S (1975) Systematic Errors in the Four Vertical Algorithms in Normal and Handicapped Populations Journal for Research in Mathematics Education, 6(4), 202-220

Cox L S (1975) Systematic Errors in the Four Vertical Algorithms in Normal and Handicapped Populations Journal for Research in Mathematics Education, 14(2), 120

Denvir B and Brown M (1986)a, b) Understanding of Number Concepts In Low Attaining 7-9 Year Olds: Parts I and Ii Educational Studies in Mathematics, Volume 17, 15-36 and 143-164

Dickson L, Brown M and Gibson O (1984) Children Learning Mathematics (Chapters 3 and 4) Holt, Eastbourne

Educational Studies in Mathematics , Vol 12, No 3 : Aug 81 P327-338

Evans L (1992) Robbing Peter To Pay Paul: Teaching Subtraction Through Role Play Education 3-13; Vol 20, No 1: Mar 92 P48-53

Floyd A (1981) Developing Mathematical Thinking, (Chapter 16) Addison-Wesley, London

Ford W W, Resnick L and Psychology of Maths for Instruction (1981) (Chaps 2, 4, 8) Lawrence Erlbaum, Hillsdale, N J

Gelman R and Galistel C R R (1978) The Child's Understanding of Number, Harvard University Press

Ginsburg H P (1977) Children's Arithmetic: How They Learn It and How You Teach It Austin, TX: Pro-Ed, (1982)

Ginsburg H P (1977) Children's Arithmetic: The Learning Process, Van Nostrand, New York

Ginsburg H P (1983) (Ed) The Development of Mathematical Thinking, Academic Press, New York

Glenn J A (1978) The Third R, Harper and Row, London

Greer B and Mulhern G (1989) New Directions In Mathematics Education London: Routledge

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Hart K A (1981) Children's Understanding of Mathematics 11-16, (Chapter 3) John Murray, London

Hart K A (1989) There is Little Connection, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Hart K A, Johnson D, Brown M, Dickson L and Clarkson R (1989) Children's Mathematical Frameworks 8-13: A Study of Classroom Teaching NFER- Nelson, Windsor

Hennessy S (1986) The Role of Conceptual Knowledge in the Acquisition of Arithmetic Algorithms Unpublished PhD thesis, University of London

Hiebert, J , Moser, J M , Carpenter T P (1983) Primary Schools; Pupils; Understanding of Substraction The Effect of Instruction On Children's Solutions of Addition and Substraction Word Problems, Educational Studies in Mathematics , Vol 14, No 1 : Feb 83, P55-72

Hiebert, J , Moser, J M , Carpenter T P (1983) The Effect of Instruction On Children's Solutions of Addition and Substraction Word Problems Journal Name: Educational Studies in Mathematics, Vol 14, No 1 : Feb 83 P55-72

Hughes M (1986) Children and Number Oxford: Blackwell

Hughes M. (1981) Can Preschool Children Add and Subtract?Educational Psychologist , Vol 1, No 3, P207-219

Jensen R J (1993) (Ed) Research Ideas for the Classroom: Early Childhood Mathematics, New York: Macmillan

Lesh R and Landau M (1983) (Eds) Acquisition of Mathematics Concepts and Processes, Academic Press, New York

Lindquist M M and Reys RE (1981)

Matthews J. (1981) An Investigation Into Subtraction

Matthews J. (1983) A Subtraction Experiment With Six and Seven Year Old Children, Educational Studies in Mathematics , Vol 14, No 2 : (May 83) P139-154

Matthews Julia (1983) A Subtraction Experiment With Six and Seven Year Old Children, Educational Studies in Mathematics , Vol 14, No 2 : May 83 P139-154

McIntosh A (1978) Some subtractions: What do you think you are doing? Mathematics Teaching 87, 14-18

Nakayama K and Shevchenko I I (1991) Subtraction Problem Generating: Two Approaches, Computers and Education; Vol 17, No 3: 91, P243-248

Norwich B (1985) A Case-Study Investigating The Relationship Between Perceived Self-Efficiency and Performance At Subtraction Tasks, Educational Psychologist, Vol 5, No 1 (Mar 85), 45-53.

Rees R and Barr G (1984) Diagnosis and Prescription in the Classroom Harper and Row, London

Resnick L B (1982) Syntax and Semantics in Learning to Subtract In Addition and Subtraction: A Cognitive Perspective (Ed) Carpenter, T P et al, New Jersey: Lawrence Erlbaum

Resnick L B and The Psychology of Mathematics For Instruction

Roberts G H (1968) The Failure Strategies of Third Grade Arithmetic Pupils The Arithmetic Teacher, 15, 442-446

Sutherland P (1993) Some case studies in the ability of children with learning difficulties in maths to subtract Research in Education, 49, 39-51

Thornton C A (1990) Solution Strategies: Subtraction Number Facts, Educational Studies in Mathematics; Vol 21, No 3: June 90 P241-263

Young R M and OShea T (1981) Errors in Children's Subtraction Cognitive Science, 5(2), 153-177

MULTIPLICATION AND DIVISION

Anghileri J (1985) Should We Say Times An Investigation of Young Children's Understanding of Multiplication, Maths In School May (1985), 24-26

Anghileri J (1989) Educational Studies in Mathematics; Vol 20, No 4: Nov 89 P367-385

Ashlock R B (1982) Error Patterns In Computation Merrill, Columbus

Cambridge Institute Of Education (1985) New Perspectives On Maths Curriculum DES, London (Chapter 3)

Carpenter T P et al (1981) Results From Second Maths Assessment NCTM, Reston, Va 510 7 Nat

Duffin J (1983) Is It A Times Miss? Education, 3-13, 11, 1; Spring (1983)

Edwards S (1991) How Did You Get That? Strategies: Maths and Problem Solving 3-16; Vol 1, No 3: Jan P28-29

Fielker D S (1987) A Calculator, A Tape Recorder, and Thou, Educational Studies in Mathematics; Vol 18, No 4: Nov 87 P417-437

Fitzgerald T. (1988) Calculators At Work and In School

French D. (1987) Mental Methods In Mathematics, Mathematics In School; Vol 16, No 2: Mar 87 P39-41

Ginsburg H P (1977) Children's Arithmetic - The Learning Process Van Nostrand, New York

Glenn J A (1977) Teaching Primary Mathematics (Strategy And Evaluation)

Glenn J A (1978) The Third R Harper and Row, London

Grouws, D A Ed (1992) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Hans De Heege (1987) Teaching Multiplication, (Unpublished)

Hart K A (1981) Children's Understanding of Mathematics 11 - 16, John Murray, London

Heege H. T. (1978) Testing The Maturity For Learning The Algorithm of Multiplication Educational Studies in Mathematics; Vol 9, No 1: Feb 78: P 75-83

Hughes M (1986) Children and Number, Blackwell, Oxford

Hunter J and Cundy M (1978) The Mathematics Curriculum: Number, Blackie, Glasgow (510 7 Sch)

ILEA (1989) Checkpoint ILEA Learning Materials Service, London

Jensen, R J Ed (1993) Research Ideas for the Classroom: Early Childhood Mathematics, New York: Macmillan

Lesh R and Landau M (1983) Acquisition of Mathematics Concepts and Processes Chapter 5 Academic Press, London

Liebeck P (1984) How Children Learn Mathematics, London: Penguin

Mathematics In School; Vol 17, No 3: May 88: P8-10

Owen A (1991) Finding The Rote Answer Junior Education; Vol 15, No 2: Feb 91 P20-21

Owens, D T Ed (1993) Research Ideas for the Classroom: Middle Grades Mathematics, New York: Macmillan

Pollard A. (1984), Coping Strategies and The Multiplication of Differentiation In Infant Classrooms British Educational Research Journal, Vol 10, No 1 : Apr 84 P33-48

Rees R and Barr G (1984) Diagnosis and Prescription, Harper, London

Reisman F K, A Guide To Diagnostic Teaching of Arithmetic Merrill, Columbus

Resnick L E and Ford W W (1981) The Psychology of Mathematics For Instruction Pages 201 - 205, 510 7 Res Erlbaum, London

Schonell F (1949) Diagnosis of Individual Difficulties In Arithmetic Oliver and Boyd, London

Somerset L (1981) Assessment In Mathematics (Teachers Book and Pupil Cards) Macmillan Basingstoke

Suydam M N and Dessart D J (1978) Classroom Ideas From Research On Computational Skills, NCTM, Reston, Va (Pamphlet)

Suydam M N and Reys R E (1978) Developing Computational Skills (1978 Yearbook) NCTM, Reston, Va 510 7 Nat

Tirosh D and Graeber A O (1990) Insights Fourth and Fifth Graders Bring To Multiplication and Division With Decimals, Educational Studies in Mathematics; Vol 21, No 6: 90, : P565-588

Tremblay, C , Lemoyne G (1986) Addition and Multiplication: Problem-Solving and Interpretation of Relevant Data, Educational Studies in Mathematics; Vol 17, No 2: May86 P97-123

Underhill R G, Uprichard A E and Heddens J W (1980) Diagnosing Mathematical Difficulties, Merrill, Columbus, Ohio

Yazdani, M , Attisha M (1984) An Expert System For Diagnosing Children's Multiplication Errors, Instructional Science , Vol 13, No 1 : May 84, P79-92

PLACE VALUE AND DECIMALS

APU (1980)-2) Mathematical Development, HMSO London Secondary Survey Report 1 (Ch 3), 2(Ch 3), Primary 1 (Ch 3), 3 (Ch 2 )

APU (1979-1981) Mathematical Development: Primary Survey Reports 1,2 & 3, HMSO: London

APU (1986) A Review of Monitoring In Mathematics 1978 To (1982) (Chapter 2) DES, London

Barker K (1979) Place Value In Children Aged 7-9 Years Report of Teacher Fellowship University of Leeds

Baron M E (1966) A Note On Robert Recorde and The Dienes Blocks, Mathematical Gazette 50 (374) Dec 1966, 362-9

Beattie I O (1986) The Number Namer: An Aid To Understanding

Bednarz N and Janvier B (1982) The understanding of numeration Educational Studies in Mathematics

Bell A W et al (1981) Choice of Operation in Verbal Problems with Decimal Numbers Educational Studies in Mathematics; v12 n4 p399 420 Nov (1981)

Carpenter T P, Moser J M, Romberg T (1982) Addition and Subtraction: A Cognitive Approach London: Erlbaum

Carpenter T P et al (1981) Decimals : Results and Implications From National Assessment Arithmetic Teacher, Vol 28 No 8 April (1981)

Carpenter T P, Corbitt M K, Kepner H S, Lindquist M M, Reys R E (1981) Results From The Second Mathematics Assessment of The NAEP (Chapter 4) NCTM, Reston, Va

Carr K (1983) Student Beliefs About Place Value and Decimals : Any Relevance For Science Education? Research In Science Education Vol 13, P 105-109 (1983)

Cockcroft W H (1982) Mathematics Counts HMSO, London

Deboys M and Pitt, E (1987) Lines of Development In Primary Mathematics Blackstaff Press: Belfast

Dickson L, Brown M and Gibson O (1984) Children Learning Mathematics, (Chapter 3) Holt; Eastbourne

Dienes Z P (1966) Sets, Numbers and Powers, ESA, 1966

Dienes Z P, Number: Multibase Arithmetic Blocks and Powers Extension For MAB (Mathematics Apparatus and Text)

Driscoll M (1984) What Research Says Arithmetic Teacher; v31 n6 p34 35, 46 Feb (1984)

Ekenstam A (1977) On Children's Qualitative Understanding of Numbers Educational Studies in Mathematics Vol 8 1977

Fielker D S (1985) Using Calculators With Upper Juniors Implications For The Primary Mathematics Curriculum, Association of Teachers of Mathematics: Derby

Flournoy F and Brandt D and Mcgregor J (1963) Pupil Understanding of The Numeration System Arithmetic Teacher

Fuson K C (1990) Conceptual Structures For Multiunit Numbers: Implications For Learning and Teaching Multidigit Addition, Subtraction, and Place Value Cognition and Instruction 7 343-403

Fuson K C and Briars D J (1990) Base-Ten Blocks As A First and Second-Grade Learning/Teaching Approach For Multidigit Addition and Subtraction and Place-Value Concepts Journal For Research In Mathematics Education 21, 180-206

Ginsburg H P (1977) Children's Arithmetic: How They Learn It and How You TeachIt Austin, Tx: Pro - Ed (1982)

Glenn J A (1978) The Third R, Harper and Row, London

Graeber A O (1993) Research into Practice: Misconceptions about Multiplication and Division Arithmetic

Greer B (1987) Nonconservation of Multiplication and Division Involving Decimals Journal for Research in Mathematics Education; v18 n1 p37 45 Jan (1987)

Grossman A S (1983) Decimal Notation: An Important Research Finding Arithmetic Teacher; v30 n9 p32 33 May (1983)

Grossnickle F E and Perry L M (1985) Division with Common Fraction and Decimal Divisors School Science and Mathematics; v85 n7 p556 66 Nov (1985)

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Hart K A (1981) Children's Understanding of Mathematics 11-16, (Chapter 4) John Murray, London

Heibert J (1986) Conceptual and Procedural Knowledge: The Case of Mathematics New Jersey: Laurence Erlbaum Assoc

Hiebert J (1987) Research Report: Decimal Fractions Arithmetic Teacher; v34 n7 p22 23 Mar (1987)

Hunter J and Cundy M (1978) The Mathematics Curriculum; Number Blackie, Glasgow

Jensen R J (1993) Research Ideas for the Classroom: Early Childhood Mathematics, New York: Macmillan

Jesson D (1983) The Development of Place Value Skills In Primary and Middle School Children Research In Education Number 29, May (1983)

Leeb-Lunberg K (1979) Zero Mathematics Teaching 78

Mason K and Ruddock (1982) Decimals: Assessment At Age 11 and 15, NFER-Nelson, Windsor

Nesher P (1986) Are Mathematical Understanding and Algorithmic Performance Related? For the Learning of Mathematics An International Journal of Mathematics Education; v6 n3 p2 9 Nov (1986)

Nesher P and Peled I (1986) Shifts in Reasoning Educational Studies in Mathematics; v17 n1 p67-79 (Feb 1986)

Nicely R F et al (1986) The Cognitive Content of Elementary School Mathematics Textbooks Arithmetic Teacher; v34 n2 p60 Oct (1986)

O'Neil D and Jensen R (1981) Some Aids For Teaching Place Value The Arithmetic Teacher, November (1981)

Osterete R A (1959) What About The Zero Facts? The Arithmetic Teacher 6(2)

Owens D T (1993) Research Ideas for the Classroom: Middle Grades Mathematics, New York: Macmillan

Resnick L and Ford W (1981) The Psychology of Mathematics for Instruction, LEA

Resnick L B et al (1989) Conceptual Bases of Arithmetic Errors: The Case of Decimal Fractions Journal for Research in Mathematics Education; v20 n1 p8 27 Jan (1989)

Resnick L B, Nesher P, Leonard F, Magone M, Omanson S, Peled I (1989) Arithmetic Errors: The Case of Decimal Fractions Journal For Research In MathematicsEducation Vol 20, No 8-27 (1989)

Ronshausen N (1978) Introducing Place Value Arithmetic Teacher, 25, (4)

Ruddock G (1987) The Cockcroft Foundation List: APU Results, NFER, Nelson, London

Ruddock G, Mason K, Foxman D D, (1984) Assessing Mathematics 2 Concepts and Skills: Decimal Place Value, Mathematics In School, (January, (1984) 24-28

Sackur-Grisvard C and Leonard F (1985) Intermediate Cognitive Organization In The Process of Learning A Mathematical Concept: The Order of Positive Decimal Numbers Cognition and Instruction

Schaeffer B (1974) Number Development In Young Children

Seaborne P L (1973) The Dienes Mathematics Programme, Hodder and Stoughton)

Sowder J and Sowder L (1988) (Eds) Research into Practice: Using Money to Teach about the Decimal System Arithmetic Teacher; v36 n4 p42 43 Dec (1988)

Swart W L (1985) Some Findings on Conceptual Development of Computational Skills Arithmetic Teacher; v32 n5 p36 38 Jan (1985)

Thompson P W (1992) Notations, Conventions, and Constraints: Contributions to Effective Uses of Concrete Materials in Elementary Mathematics Journal for Research in Mathematics Education; v23 n2 p123 47 Mar (1992)

Tirosh D and Graeber A O (1990) Insights Fourth and Fifth Graders Bring To Multiplication and Division With Decimals, Educational Studies in Mathematics; Vol 21, No 6: 90, : P565-588

Vergnaud G (1983) Psychology and Didactics of Mathematics in France An Overview International Reviews on Mathematical Education; v15 n2 p59 63 Apr (1983)

Ward M (1979) Mathematics and The Ten Year Old London: Evans/Methuen

Wearne D and Hiebert J (1988) A Cognitive Approach to Meaningful Mathematics Instruction: Testing a Local Theory Using Decimal Numbers Journal for Research in Mathematics Education; v19 n5 p371 84 Nov (1988)

Zawojewski J (1983) Initial Decimal Concepts: Are They Really So Easy? Arithmetic Teacher; v30 n7 p52 56 Mar (1983)

FRACTIONS

APU (1980)-2) Mathematical Development, HMSO, London (Secondary Reports 1 (Ch 3), 2 (Ch 2, 3), Primary 1 (Chs 3, 4)

APU (1986) A Review of Monitoring On Mathematics 1978 To (1982), DES, London (Chapter 2)

Ashlock R B (1982) Error Patterns In Computation, Merrill, Columbus Ohio

Bell A W, Costello J and Küchemann D E (1983) Research On Learning and Teaching - A Review of Research In Mathematical Education Part A, NFER-Nelson

Bell A W, Costello J and Küchemann D E (1983) A Review of Research In Mathematical Education Part A, NFER-Nelson, Windsor (Chapter 6)

Cambridge Institute of Education (1985) New Perspectives On The Mathematics Curriculum, DES, London (Chapter 4)

Carpenter T P, Corbitt M K, Kepner H S, Lindquist M M and Reys R E (1981) Results From The Second Mathematics Assessment of The NAEP, NCTM, Reston Va (Chapter 4)

Cockroft W H et al (1982) Mathematics Counts, HMSO, London

Dickson L, Brown M and Gibson O (1984) Children Learning Mathematics, Holt, Eastbourne (Chapter 3)

Driscoll M (1984) What Research Says, Arithmetic Teacher 31(6) 34-35 (Feb (1984)

Ernest P (1985) Fraction Difficulties, Mathematics Teaching 112, 22 (Sept (1985)

Ernest P (1989) Recent Developments in Primary Mathematics, University of Exeter School of Education

Floyd A (1981) Developing Mathematical Thinking, OUP, London (ch. 5)

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Hart K A (1980) Secondary School Children's Understanding of Mathematics, Research Monograph, CSE Chelsea College, London University

Hart K A (1981) Children's Understanding of Mathematics 11-16, John Murray, London (Chapter 5)

Hart K A (1987) What are Equivalent Fractions? Mathematics In School (September 5-7)

Hunter J and Cundy M (1978) The Mathematics Curriculum : Number, Blackie, Glasgow

Janvier C (1987) Problems of Representation in the Teaching and Learning of Mathematics Lawrence Erlbaum Associates, pp 76

Jensen R J (1993) (Ed) Research Ideas for the Classroom: Early Childhood Mathematics, New York: Macmillan

Joy R (1976) In Defence of Fractions, Mathematics In School 5(4) Sept 1976)

Kerslake D M (1985) Fractions: Children's Strategies and Errors, NFER-Nelson, Windsor

Laver P W (1988) Thesis An Investigation into the Field of Fractions, Exeter

Liebeck P (1985) Are Fractions Numbers?, Mathematics Teaching 111, (June, (1985) 32-34

Lloyd D (1976) The Case Against Fractions, Mathematics In School 5(2) 27 (March, 1976)

NAEP (1980) Mathematics Technical Report: Summary Volume, Washington NAEP

Novillis C (1976) An analysis of the fraction concept into a hierarchy of selected subconcepts and the testing of the hierarchical dependencies, Journal of Research into Mathematics Education, 7, 131-144

Owens D T (1993) (Ed) Research Ideas for the Classroom: Middle Grades Mathematics, New York: Macmillan

Payne J (1976) Review of Research on fractions in Number and Measurement: Papers from a Research Workshop, (Ed) Lesh, R A Ohio, USA ERIC/SMEAC

Payne T N (1984) Curricular Issues: Teaching Rational Numbers, Arithmetic Teacher 31(6), 14-17 (Feb (1984)

Payne T N (1984) Teaching Rational Numbers, Arithmetic Teacher, 31(6) pp 14

Rees R and Barr G (1984) Diagnosis and Prescription in the Classroom, Harper and Row, London

Sawyer W W (1977) The Case For Fractions, Mathematics In School 6(1), 16-17 (Jan 1977)

School Mathematics Project (No Date) In-Service Training Kit: Fractions, SMP, Southampton (Copies: Mathematics Store, MARC)

Selwyn J (1980) Noitcarf Numbers, Mathematics Teaching 90, 16 (March, (1980)

Silver E (1981) 'Young Adults' Thinking about Rational Numbers In Proceedings of the Third Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Minneapolis

Usiskin Z P (1979) The Future of Fractions, Arithmetic Teacher 26(5) 18-20 (Jan 1979)

RATIO

APU (1986) A Review of Monitoring In Mathematics 1978 To (1982), DES, London (Chapter 2)

Bell A W, Costello J and Küchemann D E (1983)A Review of Research In Mathematical Education Part A, NFER-Nelson, Windsor (Chapter 6)

Cambridge Institute of Education (1985) New Perspectives On The Mathematics Curriculum, DES, London (Chapter 4)

Cockroft W H (1982) Mathematics Counts, London: HMSO

Dickson L, Brown M and Gibson O (1985) Children Learning Mathematics, Eastbourne: Holt

Ernest P (1989) Mathematics Teaching: The State of The Art, Falmer Press (Chapter By K Chemann)

Flegg C (1983) Numbers - Their History and Meaning, Penguin

Freudenthal H (1973) Mathematics As An Educational Task, Dordrecht: Reidel (Chapter 18)

Freudenthal H (1978) Weeding and Sowing Dordrecht: Reidel (4 21)

Grouws D A (1992) (Ed) Handbook of Research On Mathematics Teaching and Learning, New York: Macmillan, 334-370

Hart K A (1981) Children's Understanding of Mathematics 11-16), John Murray, London (Chapter 7)

Hart K A (1983) Ratio and Fractions, Mathematics In School, (March, (1983) 32-34

Hart K A (1984) Ratio: Children's Strategies and Errors, NFER-Nelson, Windsor

Hart K A et al (1989) Children's Mathematical Frameworks 8-13: A Study of Classroom Teaching NFER-Nelson, Windsor

Hunter J and Cundy M (1978) The Mathematics Curriculum: Number, Blackie, Glasgow

Karplus R and Karplus E (1974) Proportional Reasoning and Control of Variables, Cambridge, Mass: Division For Study and Research In Education Mit

Küchemann D E (1989) Learning and Teaching Ratio: A Look at some Current Textbooks, in Ernest, P Ed (1989) Mathematics Teaching: The State of the Art, London, Falmer Press

Owens D T (1993) (Ed) Research Ideas for the Classroom: Middle Grades Mathematics, New York: Macmillan

Wain G T and Woodrow D (1980) Mathematics Teacher Education Project, Blackie, Glasgow

INTEGERS (POSITIVE AND NEGATIVE NUMBERS)

Carpenter T P, Corbitt M K, Kepner H S, Lindquist M M and Reys R E (1981), Results From The Second Mathematics Assessment of The NAEP, NCTM, Reston, Va (Chapter 4)

Chelsea Diagnostic Mathematics Test, NFER - Nelson (1985), (For 11-16 Year Olds)

Cockcroft W H (Chair) (1982), Mathematics Counts, HMSO, London

Duffin J (No Date), Directed Number - A Link Between Nursery and Tertiary Mathematics, Mathematical Education For Teaching

Fielker D S (1977), Mis-Directed Numbers: Some Reactions, In Mathematics Teaching, No 79

Fletcher T J (1976), Talking of Directed Numbers, Mathematical Education Teaching, 2(3) 3-13 (June 1976) (See Also 2(2) 17-22, 3(1) 42-44, 3(3) 40-43)

Hart K A (1981) Children's Understanding of Mathematics 11-16, John Murray, London (Chapter 6)

Heiner R T and Trueblood C R (1976), Strategies For Teaching Children Mathematics, Addison Wesley (510 7 He1)

Hunter J and Cundy M (1978), The Mathematics Curriculum: Number, Blackie, Glasgow

Küchemann D E (1980), Children's Understanding of Integers, Mathematics In School 9 (2), March (1980)

Leddy T (1971), Mis-Directed Numbers In Mathematics Teaching, No 79

Malpas A J (1975), Subtraction of Negative Numbers In The Second Year: Anatomy of A Failure, Mathematics In School, Vol 4, July 1975

Rowland T (1982), Teaching Directed Numbers: An Experiment, Mathematics In School 11(1)

Sawyer W W (1943), Mathematicians Delight, Penguin

School Mathematics Project (No Date) In-Service Training Kit: Directed Numbers, SMP, Southampton (Copies: Maths Store; MARCH)

Wain G T, Woodrow (1980), Mathematics Teacher Education Project: Tutors Guide, Blackie, Glasgow, 41-45 (See Also Student Materials 56-59)

Watson F R (1975), Conversation Piece In Mathematical Education For Teaching 2(2) Assessment of Performance Unit, Mathematical Development, Secondary Survey Report No 1, HMSO, London

Watson F R (1977), Directed Numbers - A Comment In Mathematical Education For Teaching 3(1)

MEASUREMENT

Ainley J (1991) Is there any Mathematics in Measurement? In Primm D and Lowe E (Eds) Teaching and Learning School Mathematics Open University, Kent

APU (1978-82) Mathematical Development: A Review of Monitoring in Mathematics, HMSO

APU (1980-81) Mathematical Development, DES, London (Primary Report 1: Ch 3, 4; 3: Ch 2, 3; Secondary Report 1: Ch 3, 5, 3: Ch 2)

APU (1982) Mathematical Development: Primary Survey Report No.3, HMSO

APU (1986) A Review of Monitoring In Mathematics 1978 To (1982), DES, London (Chapter 3)

APU (1986) APU Topics No 1: Length, DES, London, HMSO

APU (1986) Topics No 2: Area and Perimeter DES, London, HMSO

Ausubel D P (1969) Educational Psychology: A Cognitive View, NY, Holt, Rinehart and Winston

Bell A W, Costello J and Küchemann D E (1983) A Review of Research In Mathematical Education Part A

Mathematics Bibliography

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