Skip to main content
Log in

Assisting teachers and students to reform the mathematics classroom

  • Published:
Educational Studies in Mathematics Aims and scope Submit manuscript

Abstract

This study examines the usefulness of selected aspects of Tharp and Gallimore's (1988) theory of assistance as a theoretical framework for describing and analyzing change efforts in a middle school mathematics reform project. Drawing upon Tharp and Gallimore's redefinition of teaching as assisting performance and learning as the result of assisted performance, the social organization of a school-based mathematics reform effort in which teacher educators, mathematics teachers, and students both assist and are assisted is analyzed. In addition, one particular classroom assistance activity is presented and analyzed in terms of characteristics of assistance that, according to the theory, should lead to significant learning.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Andrews, T. E. and Barnes, S.: 1990, ‘Assessment of teaching’, in W. R. Houston (ed.), Handbook of Research on Teacher Education, Macmillan, New York, pp. 569–598.

    Google Scholar 

  • Bauersfeld, H.: 1995, ‘“Language games” in the mathematics classroom: Their function and their effects‘, in P. Cobb and H. Bauersfeld (eds.), The Emergence of Mathematical Meaning: Interaction in Classroom Cultures, Lawrence Erlbaum Associates, Hillsdale, NJ, pp. 271–291.

    Google Scholar 

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

    Google Scholar 

  • Brown, C. A., Stein, M. K., and Forman, E. A.: 1993, April, Discourse Development: Chains of Assistance. Paper presented at the annual meeting of the American Educational Research Association, Atlanta.

  • Cobb, P. and Bauersfeld, H. (eds.): 1995, The Emergence of Mathematical Meaning: Interaction in Classroom Cultures, Lawrence Erlbaum Associates, Hillsdale, NJ.

    Google Scholar 

  • Department of Education and Science: 1978, GSCE: The National Criteria for Mathematics, Her Majesty's Stationery Office, London.

    Google Scholar 

  • Dossey, J. A., Mullis, I. V. S., Lindquist, M. M., and Chambers, D. L.: 1988, The Mathematics Report Card: Are we Measuring up? Educational Testing Service, Princeton, NJ.

    Google Scholar 

  • Eisenhart, M. A.: 1988, ‘The ethnographic research tradition and mathematics education research’, Journal for Research in Mathematics Education 19 (2), 99–114.

    Google Scholar 

  • Epstein, J. L. and MacIver, D. J.: 1989, Education in the Middle Grades: Overview of a National Survey on Practices and Trends, Center for Research on Elementary and Middle Schools, Johns Hopkins University, Baltimore, MD.

    Google Scholar 

  • Forman, E. A.: in press, ‘Learning mathematics as participation in classroom practice: Implications of sociocultural theory for educational reform’. To appear in L. P. Steffe, P. Nesher, P. Cobb, G. A. Goldin, and B. Greer (eds.), Theories of Mathematical Learning, Lawrence Erlbaum, Hillsdale, NJ.

  • Forman, E. A.: 1992, ‘Discourse, intersubjectivity and the development of peer collaboration: A Vygotskian approach’, in L. T. Winegar and J., Valsiner (eds.), Children's Development within Social Contexts: Metatheoretical, Theoretical, and Methodological Issues, Vol. 1, Lawrence Erlbaum Associates, Hillsdale, NJ, pp. 143–159.

    Google Scholar 

  • Forman, E. A.: 1989, ‘The role of peer interaction in the social construction of mathematical knowledge’, International Journal of Educational Research 13, 55–70.

    Google Scholar 

  • Forman, E. A., Minick, N., and Stone, C. A. (eds.): 1993, Contexts for Learning: Sociocultural Dynamics in Children's Development, Oxford University Press, New York.

    Google Scholar 

  • Hamann, J. H.: 1992, April, Contexts and Processes for Effective School Change: Case Study of an External Change Agent. Paper presented at the annual meeting of the American Educational Research Association, San Francisco.

  • Hoyles, C. and Forman, E. A. (eds): 1995. ‘Processes and products of collaborative problem solving: Some interdisciplinary perspectives’, [Special issue] Cognition and Instruction 13 (4).

  • Hughes, M.: 1990, ‘Children's computation’, in R. Grieve and M. Hughes (eds.), Understanding Children, Blackwell, Cambridge, MA, pp: 121–139.

    Google Scholar 

  • Lane, S.: 1993, ‘The conceptual framework for the development of a mathematics performance assessment instrument’, Educational Measurement: Issues and Practice, 16–23.

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

    Google Scholar 

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

    Google Scholar 

  • Minick, N. J.: 1985, L. S. Vygotsky and Soviet Activity Theory: New Perspectives on the Relationship Between Mind and Society, Unpublished doctoral dissertation, Northwestern University.

  • Moll, L. C. (ed.): 1990, Vygotsky and Education: Instructional Implications and Applications of Sociohistorical Psychology, Cambridge University Press, New York.

    Google Scholar 

  • Moll, L. C. and Greenberg, J. B.: 1990, ‘Creating zones of possibilities: Combining social contexts for instruction’, in L. C. Moll (ed.), Vygotsky and Education: Instructional Implications and Applications of Sociohistorical Psychology, New York, Cambridge University Press, pp. 319–348.

    Google Scholar 

  • National Council of Teachers of Mathematics: 1991, Professional Standards for Teaching Mathematics, The Council, Reston, VA.

    Google Scholar 

  • National Council of Teachers of Mathematics: 1989, Curriculum and Evaluation Standards for School Mathematics, The Council, Reston, VA.

    Google Scholar 

  • National Committee of Inquiry into the Teaching of Mathematics in Schools: 1982, Mathematics Counts (The Cockcroft Report), Her Majesty's Stationery Office, London.

    Google Scholar 

  • National Research Council: 1989, Everybody Counts, National Academy of Sciences, Washington, DC.

    Google Scholar 

  • Newman, D., Griffin, P., and Cole, M.: 1989, The Construction Zone: Working for Cognitive Change in School, Cambridge University Press, New York.

    Google Scholar 

  • Oakes, J.: 1985, Keeping Track: How Schools Structure Inequality, Yale University Press, New Haven, CT.

    Google Scholar 

  • Peterson, P. and Fennema, E.: 1985, ‘Effective teaching, student engagement in classroom activities, and sex-related differences in learning mathematics’, American Educational Research Journal 22 (3), 309–335.

    Google Scholar 

  • Rogoff, B.: 1990, Apprenticeship in Thinking: Cognitive Development in Social Context, Oxford University Press, New York.

    Google Scholar 

  • Romberg, T. A. and Carpenter, T. P.: 1986, ‘Research on teaching and learning mathematics: Two disciplines of scientific inquiry’, in M. C. Wittrock (ed.), Handbook of Research on Teaching (3rd Edition), Macmillan Publishing Co., New York, pp. 850–873.

    Google Scholar 

  • Silver, E. A. and Lane, S.: 1993, ‘Assessment in the context of mathematics instruction reform: The design of assessment in the QUASAR project’, in M. Niss (ed.), Assessment in mathematics education and its effects, Kluwer, London, pp. 59–70.

    Google Scholar 

  • Silver, E. A. and Stein, M. K.: in press, ‘The QUASAR project: The “Revolution of the Possible” in mathematics instructional reform in urban middle schools’, Urban Education.

  • Steffe, L. P., Nesher, P., Cobb, P., Goldin, G. A., and Greer, B. (eds.): in press, Theories of mathematical learning, Lawrence Erlbaum, Hillsdale, NJ.

  • Stein, M. K. and Brown, C. A.: in press, ‘Teacher learning in a social context: Social interaction as a source of significant teacher change in mathematics’, in E. Fenemma and B. Nelson (eds.), Mathematics Teachers in Transition.

  • Stein, M. K., Grover, B. W., and Silver, E. A.: 1991, ‘Changing instructional practice: A conceptual framework for capturing the details’, in R. G. Underhill (ed.), Proceedings of the Thirteenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. I, October 16–19, 1991, Blacksburg, Virginia, pp. 36–42.

  • Stein, M. K., Silver, E. A., and Smith, M. S.: in press, ‘Mathematics reform and teacher development: A community of practice perspective’, in J. Greeno and S. Goldman (eds.), Thinking Practices, Lawrence Erlbaum Associates, Hillsdale, NJ.

  • Stodolsky, S.: 1988, The Subject Matters: Classroom Activity in Mathematics and Social Studies, University of Chicago Press, Chicago.

    Google Scholar 

  • Tharp, R. and Gallimore, R.: 1988, Rousing Minds to Life: Teaching, Learning, and Schooling in Social Context, Cambridge University Press, Cambridge.

    Google Scholar 

  • van Oers, B.: in press, ‘Learning mathematics as a meaningful activity’, to appear in L. P. Steffe, P. Nesher, P. Cobb, G. A. Goldin, and B. Greer (eds.), Theories of Mathematical Learning, Lawrence Erlbaum, Hillsdale, NJ.

  • Vygotsky, L. S.: 1978, Mind in Society: The Development of Higher Psychological Processes, Harvard University Press, Cambridge, MA.

    Google Scholar 

  • Wertsch, J. V. (ed.): 1985, Culture, Communication, and Cognition: Vygotskian Perspectives, Cambridge University Press, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brown, C.A., Stein, M.K. & Forman, E.A. Assisting teachers and students to reform the mathematics classroom. Educ Stud Math 31, 63–93 (1996). https://doi.org/10.1007/BF00143927

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00143927

Keywords

Navigation