Skip to main content

Research on Socio-Cultural Perspectives of Mathematics Teaching and Learning

  • Chapter
Mathematics Education as a Research Domain: A Search for Identity

Part of the book series: Glaukom ((GLAUKOM,volume 4))

  • 17 Accesses

Abstract

A feature of the changing trends in research in mathematics education during recent years has been the growing interest in and focus on the social context of the mathematics classroom (Bishop 1988; Keitel 1989; Lerman 1994; Nickson 1992; Nickson & Lerman 1992). The role played by the social context in the development of the individual or of groups has been theorized, implicitly or explicitly, in many ways. What demarcates current interests is a move away from the identification of social factors as the realm of the affective to a concern with the part that the social and cultural environment plays as a whole in the development of the child. This chapter commences with a discussion of the models offered by different theoretical frameworks in their interpretations of the role of the social context, in order to identify and distinguish what are increasingly being called socio-cultural theories (Cobb 1994a) from more individualistic approaches.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bartolini Bussi, M. G.: 1996, ‘Mathematical Discussion and Perspective Drawing in Primary School’, Educational Studies in Mathematics 31, 11–41.

    Article  Google Scholar 

  • Barton, B.: 1996, ‘Making Sense of Ethomathematics: Ethnomathetnatics Is Making Sense’, Educational Studies in Mathematics 31, 201–233.

    Article  Google Scholar 

  • Bauersfeld, H.: 1992, ‘Classroom Cultures from a Social Constructivist’s Perspective’, Educational Studies in Mathematics 23, 467–481.

    Article  Google Scholar 

  • Bishop, A.: 1988, Mathematical Enculturation: A Cultural Perspective on Mathematics Education, Kluwer Academic Publishers, Dordrecht.

    Book  Google Scholar 

  • Boaler, J.: 1996, ‘Open and Closed Mathematics Approaches and Situated Cognition’, in Proceedings of the Third British Congress on Mathematical Education, Vol. 1, 152–159.

    Google Scholar 

  • Boero, P.: 1992, ‘The Crucial Role of Semantic Fields in the Development of Problem Solving Skills’ in Mathematical Problem Solving and New Information Technologies, Springer-Verlag, Berlin, 77–91.

    Chapter  Google Scholar 

  • Boero, P., Dapueto, C., Ferrari, P., Ferrero, E., Garuti, R., Lemut, E., Parenti, L., & Scali, E.: 1995, ‘Aspects of the Mathematics—Culture Relationship in Mathematics Teaching-Learning in Compulsory School’, in Proceedings of the Nineteenth International Meeting of the Group for the Psychology of Mathematics Education, Recife, Brazil, Vol. 1, 151–166.

    Google Scholar 

  • Brodie, K.: 1995, ‘Peer Interaction and the Development of Mathematical Knowledge’, in Proceedings of Nineteenth International Meeting of the Group for the Psychology of Mathematics Education, Recife, Brazil, Vol. 3,216–223.

    Google Scholar 

  • Brown, T.: 1996, ‘Intention and Significance in the Teaching and Learning of Mathematics’, Journal for Research in Mathematics Education 27, 52–66.

    Google Scholar 

  • Burton, L.: 1986, Girls into Maths Can Go, Holt, Rinehart & Winston, London.

    Google Scholar 

  • Campbell, S. & Dawson, A. J.: 1995, ‘Learning as Embodied Action’, in R. Sutherland & J. Mason (eds.), Exploiting Mental Imagery with Computers in Mathematics Education, Springer-Verlag, Berlin, 233–250.

    Chapter  Google Scholar 

  • Carrahcr, T. (1988). ‘Street Mathematics and School Mathematics’, in Proceedings of the Twelfth Annual Conference of the International Group for the Psychology of Mathematics Education, Veszprem, Hungary, Vol. 1,1–23.

    Google Scholar 

  • Cobb, P.: 1994a, ‘Where is the Mind? Constructivist and Sociocultural Perspectives on Mathematical Development’, Educational Researcher 23(7), 13–20.

    Article  Google Scholar 

  • Cobb, P.: 1994b, Theories of Mathematical Learning and Constructivisrn: A Personal View Paper presented at Symposium on Trends and Perspectives in Mathematics Education, Institute for Mathematics, University of Klagenfurt.

    Book  Google Scholar 

  • Cobb, P., Yackel, E. & Wood, T. (1992). ‘A Constructivist Alternative to the Representational View of Mind in Mathematics Education’, Journal for Research in Mathematics Education 23 (1), 2–33.

    Article  Google Scholar 

  • Confrey, J.: 1990, ‘What Constructivism Implies for Teaching’, in R. B. Davis, C. A. Maher & N. - Noddings (eds.), Constructivist Views on the Teaching and Learning of Mathematics (Journal for Research in Mathematics Education Monograph No. 4), 107–122.

    Google Scholar 

  • Confrey, J.: 1994, ‘A Theory of Intellectual Development (Part I)’, For the Learning of Mathematics 14 (3), 2–8.

    Google Scholar 

  • Confrey, J.: 1995a, ‘A Theory of Intellectual Development (Part 2)’, For the Learning of Mathematics 15 (1), 38–48.

    Google Scholar 

  • Confrey, J.: 1995b, ‘A Theory of Intellectual Development (Part 3)’, For the Learning of Mathematics 15 (2), 36–46.

    Google Scholar 

  • Crawford, K.: 1994, Vygotsky in School: The implications of Vygotskian Approaches to Activity, Learning and Development Paper presented at First International Conference ‘L. S. Vygotsky and School’, Eureka Free University, Moscow.

    Google Scholar 

  • Crawford, K.: 1996, ‘Vygotskian Approaches to Human Development in the Information Era’, Educational Studies in Mathematics 31, 43–62.

    Article  Google Scholar 

  • Crawford, K. & Deer, E.: 1993, ‘Do We Practise What We Preach?: Putting Policy into Practise in Teacher Education’, South Pacific Journal of Teacher Education 21(2), 111–121.

    Article  Google Scholar 

  • Davis, B.: 1995, ‘Why Teach Mathematics? Mathematics Education and Enactivist Theory’, For the Learning of Mathematics 15 (2), 2–9.

    Google Scholar 

  • Davydov, V. V.: 1990, Types of Generalization in Instruction (Soviet Studies in Mathematics Education Vol. 2; J. Kilpatrick (ed.); J. Teller, trans.), National Council of Teachers of Mathematics, Reston, VA.

    Google Scholar 

  • Dowling, P.: 1995, ‘A Language for the Sociological Description of Pedagogic Texts with Particular Reference to the Secondary School Mathematics Scheme SMP 11–16’, Collected Original Resources in Education,19.

    Google Scholar 

  • Ellsworth, E.: 1989, ‘Why Doesn’t This Feel Empowering? Working Through the Repressive Myths of Critical Pedagogy’, Harvard Educational Review 59 (3), 297–324.

    Google Scholar 

  • Ernest, P.: 1991, The Philosophy of Mathematics Education, Falmer, London.

    Google Scholar 

  • Evans, J.: 1993, Adults and Numeracy, Unpublished Ph.D. thesis, University of London Library.

    Google Scholar 

  • Evans, J. & Tsatsaroni, A.: 1994, ‘Language and “Subjectivity” in the Mathematics Classroom’, in S. Lerman (ed.), Cultural Perspectives on the Mathematics Classroom, Kluwer Academic Publishers, Dordrecht, 163–182.

    Google Scholar 

  • Frankenstein, M.: 1981, ‘A Different Third R: Radical Math’, Radical Teacher 20, 14–18.

    Google Scholar 

  • Gergen K. J.: 1985, ‘The Social Constructionist Movement in Modern Psychology’, American Psychologist 40 (3), 266–275.

    Article  Google Scholar 

  • Goldin, J.: 1990, ‘Epistemology, Constructivism and Discovery Learning in Mathematics’, in R. B. Davis, C. A. Maher & N. Noddings (eds.), Constructivist Views on the Teaching and Learning of Mathematics (Journal for Research in Mathematics Education Monograph No. 4), 31–47.

    Google Scholar 

  • Harré, R. & Gillett, G.: 1994, The Discursive Mind, Sage, London.

    Google Scholar 

  • Henley, A.: 1990, The History of Mathematics as a Pedagogical Aid, with Special Reference to Negative Numbers. Unpublished M.Sc. dissertation, South Bank University.

    Google Scholar 

  • Keitel, C. (ed.): 1989, Mathematics Education and Society, Unesco Document Series No. 35.

    Google Scholar 

  • Lacan, J.: 1966, Ecrits I, Seuil, Paris.

    Google Scholar 

  • Lave, J. & Wenger, E.: 1991, Situated Learning: Legitimate Peripheral Participation, Cambridge University Press, New York.

    Book  Google Scholar 

  • Leont’ev, A. N.: 1981, ‘The Problem of Activity in Psychology’, in J. V. Wertsch (ed.), The Concept of Activity in Soviet Psychology, Sharpe, Armonk, NY, 37–71.

    Google Scholar 

  • Leont’ev, A. N.: 1978, Activity, Consciousness and Personality, Prentice-Hall, Englewood Cliffs, NJ.

    Google Scholar 

  • Lerman, S.: 1992, ‘The Function of Language in Radical Constructivism: A Vygotskian Perspective’, in Proceedings of Sixteenth Meeting of the International Group for the Psychology of Mathenmtics Education, Durham, New Hampshire, Vol. 2, 40–47.

    Google Scholar 

  • Lerman, S.: 1993, ‘The Position of the Individual in Radical Constructivism: In Search of the Subject’ in J. Malone & P. Taylor (eds.), Constructivist Interpretations of Teaching and Learning Mathematics, Curtin University of Technology, Perth, 105–112.

    Google Scholar 

  • Lerman, S. (ed.): 1994, Cultural Perspectives on the Mathematics Classroom, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Leaman, S.: 1995a, Teaching-Learning Negative Numbers: A Classroom incident. Unpublished paper, Centre for Mathematics Education, South Bank University.

    Google Scholar 

  • Lerman, S.: 1995b, ‘Mathematics Teaching for Empowerment and Equity: An Achievable Goal?’, in Proceedings of the Third British Congress on Mathematical Education,Vol. 1,17–30.

    Google Scholar 

  • Lerman, S.: 1996, ‘Intersubjectivity in Mathematics Learning: A Challenge to the Radical Constructivist Paradigm?’, Journal for Research in Mathematics Education 27, 133–150.

    Article  Google Scholar 

  • Lins, R. C.: 1994, ‘Eliciting the Meanings for Algebra Produced by Students: Knowledge, Justification and Semantic Fields’, in Proceedings of Eighteenth International Meeting of the Group for the Psychology of Mathematics Education, Lisbon, Portugal, Vol. 3, 184–191.

    Google Scholar 

  • Luria, A. R.: 1973, The Working Brain, Penguin, Harmondsworth.

    Google Scholar 

  • Masingila, J.: 1993, ‘Learning from Mathematics Practice in Out-of-School Situations’, For the Learning of Mathematics 13 (2), 18–22.

    Google Scholar 

  • Masingila, J. O., Davidenko, S. & Prus-Wisniowska, E.: 1996, ‘Mathematics Learning and Practice in and out of School: A Framework for Connecting These Experiences’, Educational Studies in Mathematics 31, 175–200.

    Article  Google Scholar 

  • Matos, J. F.: 1995, ‘Ethnographic Research Methodology and Mathematical Activity in the Classroom’, in Proceedings of Nineteenth International Meeting of the Group for the Psychology of Mathematics Education, Recife, Brazil, Vol. 1, 211.

    Google Scholar 

  • Mellin-Olsen, S.: 1987, The Politics of Mathematics Education, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Newman, F. & Holzman, L.: 1993, Lev Vygotsky: Revolutionary Scientist, Routledge, London.

    Google Scholar 

  • Nickson, M.: 1992, ‘The Culture of the Mathematics Classroom: An Unknown Quantity?’, in D. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, Macmillan, New York, 101–114.

    Google Scholar 

  • Nickson, M. & Lerman, S. (eds.): 1992, The Social Context of Mathematics Education: Theory and Practice,South Bank Press, London.

    Google Scholar 

  • Nunes, T., Schliemann, A. & Carraher, D.: 1993, Street Mathematics and School Mathematics, Cambridge University Press, New York.

    Google Scholar 

  • Piaget, J.: 1964, ‘Development and Learning’, in R. E. Ripple & V. N. Rockcastle (eds.), Piaget Rediscovered, Cornell University Press, Ithaca, NY, 7–19.

    Google Scholar 

  • Piaget, J.: 1971, Structuralism, Routledge & Kegan Paul, London.

    Google Scholar 

  • Piaget, J. & Garcia, R.: 1989, Psychogenesis and the History of Science, Columbia University Press, New York.

    Google Scholar 

  • Pimm, D.: 1994, ‘Attending to Unconscious Elements’, in Proceedings of the Eighteenth International Meeting of the Group for the Psychology of Mathematics Education, Lisbon, Portugal, Vol. 4,41–48.

    Google Scholar 

  • Santos, M.: 1995, ‘Mathematics Learning as Situated Learning’, in Proceedings of the Nineteenth International Meeting of the Group for the Psychology of Mathematics Education, Recife, Brazil, Vol. 1,222.

    Google Scholar 

  • Saxe, J.: 1991, Culture and Cognitive Development: Studies in Mathematical Understanding, Lawrence Erlbaum, Hillsdale, NJ.

    Google Scholar 

  • Schliemann, A. D. & Acioly, N. M.: 1989, ‘Mathematical Knowledge Developed at Work: The Contribution of Practice versus the Contribution of Schooling’, Cognition and Instruction 6 (3), 185–221.

    Article  Google Scholar 

  • Secada, W. G., Fennema, E. & Adajian, L. B. (eds.): 1995, New Directions for Equity in Mathematics Education, Cambridge University Press, Cambridge.

    Google Scholar 

  • Sierpinska, A. & Lerman, S.: 1996, ‘Epistemologies of Mathematics and of Mathematics Education’, in A. Bishop (ed.), International Handbook on Mathematical Education, Kluwer Academic Publishers, Dordrecht, 827–876.

    Google Scholar 

  • Steffe, L.P.: 1993, Interaction and Children’s Mathematics. Paper presented at American Educational Research Association, Atlanta, GA.

    Google Scholar 

  • Von Glasersfeld, E.: 1983, ‘Learning as a Constructive Activity’, in Proceedings of the Fifth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Montreal, Vol. 1,41–69.

    Google Scholar 

  • Von Glasersfeld, E.: 1989, ‘Cognition, Construction of Knowledge, and Teaching’, Synthese 80 121–140.

    Article  Google Scholar 

  • Von Glasersfeld, E.: 1990a, ‘An Exposition of Constructivism: Why Some Like It Radical’, in R. B. Davis, C. A. Maher & N. Noddings (eds.), Constructivist Views on the Teaching and Learning of Mathematics (Journal for Research in Mathematics Education Monograph No. 4), 19–29.

    Google Scholar 

  • Von Glasersfeld, E.: 1990b, ‘Environment and Communication’, in L. P. Steffe & T. Wood (eds.) Transforming Children’s Mathematics Education,Lawrence Erlbaum, Hillsdale, NJ, 30–38.

    Google Scholar 

  • Von Glasersfeld, E.: 1991, ‘Knowing Without Metaphysics: Aspects of the Radical Constructivist Position’, in F. Steier (ed.), Research and Reflexivity, Sage, London, 12–29.

    Google Scholar 

  • Vygotsky, L.: 1924/1979, ‘Consciousness as a Problem in the Psychology of Behaviour’, Soviet Psychology 175–35.

    Google Scholar 

  • Vygotsky, L.: 1978, Mind in Society, Harvard University Press, Cambridge, MA.

    Google Scholar 

  • Vygotsky, L.: 1986, Thought and Language (revised edition, A. Kozulin, ed.), MIT Press, Cambridge, MA.

    Google Scholar 

  • Walkerdine, V.: 1988, The Mastery of Reason, Routledge, London.

    Google Scholar 

  • Wertsch, J. V.: 1990, ‘The Voice of Rationality in a Sociocultural Approach to Mind’, in L. C. Moll (ed.), Vygotsky and Education: Instructional Implications and Applications of Sociohistorical Psychology, Cambridge University Press, New York, 111–126.

    Chapter  Google Scholar 

  • Wood, T.: 1994, ‘Patterns of Interaction and the Culture of the Mathematics Classroom’, in S. Lerman (ed.), Cultural Perspectives on the Mathematics Classroom, Kluwer, Dordrecht, 149–168.

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Lerman, S. (1998). Research on Socio-Cultural Perspectives of Mathematics Teaching and Learning. In: Sierpinska, A., Kilpatrick, J. (eds) Mathematics Education as a Research Domain: A Search for Identity. Glaukom, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5196-2_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5196-2_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6187-2

  • Online ISBN: 978-94-011-5196-2

  • eBook Packages: MedicineMedicine (R0)

Publish with us

Policies and ethics