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Transforming the International Mathematics Education Research Agenda

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Mathematics Education as a Research Domain: A Search for Identity

Part of the book series: New ICMI Studies Series ((NISS,volume 4))

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Abstract

During the second half of the 1980s, the international mathematics education research community was prepared to ask fundamental questions about the major issues and methods of its field of endeavor (see, e.g., Charles & Silver 1989; Grouws, Cooney & Jones 1988; Hiebert & Behr 1988; Sowder 1989; Wagner & Kieran 1989). This questioning has continued into the 1990s, with mathematics education researchers around the world scrutinizing the assumptions and methodologies associated with their work (see, e.g., Biehler, Scholz, Sträβer & Winkelmann 1994; Kilpatrick 1992, 1993; Mason, present volume; Secada, Fennema & Adajian 1995; Sierpinska 1993; Skovsmose 1994a, 1994b).

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References

  • Balacheff, N., Howson, A. G., Sfard, A., Steinbring, H., Kilpatrick, J. & Sierpinska, A.: 1993, ‘What Is Research in Mathematics Education, and What Are Its Results?’, ICMI Bulletin 33, 17–23.

    Google Scholar 

  • Begle, E. G.: 1979, Critical Variables in Mathematics Education, Mathematical Association of America and the National Council of Teachers of Mathematics, Washington, DC.

    Google Scholar 

  • Begle, E. G. & Gibb, E. G.: 1980, ‘Why Do Research?’, in R. J. Shumway (ed.), Research in Mathematics Education, National Association of Teachers of Mathematics, Reston, VA, 3–19.

    Google Scholar 

  • Biehler, R., Scholz, R. W., Sträßer, R. & Winkelmann, B. (eds.): 1994, Didactics of Mathematics as a Scientific Discipline, Springer Science+Business Media Dordrecht, Dordrecht.

    Google Scholar 

  • Bishop, A. J.: 1990, ‘Western Mathematics: The Secret of Cultural Imperialism’, Race and Class 32(2), 51–65.

    Article  Google Scholar 

  • Bishop, A. J.: 1992, ‘International Perspectives on Research in Mathematics Education’, in D. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, Macmillan, New York, 710–723.

    Google Scholar 

  • Bishop, A. J.: 1993, ‘Influences from Society’, in Significant Influences on Children’s Learning of Mathematics, UNESCO Science and Technology Education (Document Series No. 47), UNESCO, Paris, 3–26.

    Google Scholar 

  • Bishop, A. J. & Blane, D. C.: 1994 (May), ‘Responding to the Pressure for “Effectiveness” in Mathematics Teaching’, in What Is Research in Mathematics Education, and What Are Its Results? (Background papers for an ICMI Study Conference), International Commission on Mathematics Instruction, University of Maryland, College Park, MD, 52–68.

    Google Scholar 

  • Bourke, S.: 1993, ‘Babies, Bathwater, and Straw Persons’, Mathematics Education Research Journal 5(1), 19–22.

    Article  Google Scholar 

  • Carraher, T. N.: 1988, ‘Street Mathematics and School Mathematics’, in A. Borbas (ed.), Proceedings of the Twelfth International Conference on the Psychology of Mathematics Education, International Group for the Psychology of Mathematics Education, Veszprém, Hungary, 3–23.

    Google Scholar 

  • Carver, R. P.: 1978, ‘The Case against Statistical Significance Testing’, Harvard Educational Review 48, 378–399.

    Google Scholar 

  • Charles, R. I. & Silver, E. A. (eds.): 1989, Research Agenda in Mathematics Education: The Teaching and Assessing of Mathematical Problem Solving, National Council of Teachers of Mathematics, Reston, VA, and Lawrence Erlbaum, Hillsdale, NJ.

    Google Scholar 

  • Clements, M. A.: 1992, Mathematics for the Minority: Some Historical Perspectives of School Mathematics in Victoria, Deakin University, Geelong.

    Google Scholar 

  • Clements, M. A. & Del Campo, G.: 1990, ‘How Natural is Fraction Knowledge?’, in L. P. Steffe & T. Wood (eds.), Transforming Children’s Mathematics Education: International Perspectives, Lawrence Erlbaum Hillsdale, NJ, 181–188.

    Google Scholar 

  • Clements, M. A., Grimison, L. & Ellerton, N. F.: 1989, ‘Colonialism and School Mathematics in Australia’, in N. F. Ellerton & M. A. Clements (eds.), School Mathematics: The Challenge to Change, Deakin University, Geelong, 50–78.

    Google Scholar 

  • Clements, M. A. & Jones, P.: 1983, The Education of Atawe’, in I. Palmer (ed.), Melbourne Studies in Education 1983, Melbourne University Press, Melbourne, 112–144.

    Google Scholar 

  • Connell, W. F.: 1980, A History of Education in the Twentieth Century World, Curriculum Development Centre, Canberra.

    Google Scholar 

  • D’Ambrosio, U.: 1985, ‘Ethnomathematics and its Place in the History and Pedagogy of Mathematics’, For the Learning of Mathematics 5(1), 44–48.

    Google Scholar 

  • Del Campo, G. & Clements, M. A.: 1987, ‘Elementary School Children’s Processing of “Change” Arithmetic Word Problems’, in J. C. Bergeron, N. Herscovics & C. Kieran (eds.), Proceedings of the Eleventh International Conference on the Psychology of Mathematics Education, International Group for the Psychology of Mathematics Education, Montréal, Vol. 2, 382–388.

    Google Scholar 

  • Desforges, C. & Cockburn, A.: 1987, Understanding the Mathematics Teacher: A Study of Practice in First Schools, Falmer, London.

    Google Scholar 

  • Ellerton, N. F. & Clements, M. A.: 1988, ‘Reshaping School Mathematics in Australia 1788–1988’, Australian Journal of Education 32(3), 387–405.

    Article  Google Scholar 

  • Ellerton, N. F. & Clements, M. A.: 1991, Mathematics in Language: A Review of Language Factors in Mathematics Learning, Deakin University, Geelong.

    Google Scholar 

  • Ellerton, N. F. & Clements, M. A.: 1994, The National Curriculum Debacle, Meridian Press, Perth.

    Google Scholar 

  • Ellerton, N. F. & Clements, M. A.: 1995, ‘Challenging the Effectiveness of Pencil-and-Paper Tests in Mathematics’, in J. Wakefield & L. Velardi (eds.), Celebrating Mathematics Learning, Mathematical Association of Victoria, Melbourne, 444–449.

    Google Scholar 

  • Ellerton, N. F., Clements, M. A. & Skehan, S.: 1989, ‘Action Research and the Ownership of Change: A Case Study’, in N. F. Ellerton & M. A. Clements (eds.), School Mathematics: The Challenge to Change, Deakin University, Geelong, 284–302.

    Google Scholar 

  • Freudenthal, H.: 1979, ‘Ways to Report on Empirical Research in Education’, Educational Studies in Mathematics 10(3), 275–303.

    Article  Google Scholar 

  • Fuson, K. C.: 1992, ‘Research on Whole Number Addition and Subtraction’, in D. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, Macmillan, New York, 243–275.

    Google Scholar 

  • Grouws, D. A., Cooney, T. J. & Jones, D. (eds.): 1988, Research Agenda in Mathematics Education: Perspectives on Research on Effective Mathematics Teaching, National Council of Teachers of Mathematics, Reston, VA, and Lawrence Erlbaum, Hillsdale, NJ.

    Google Scholar 

  • Haig, B. D.: 1996, ‘Statistical Methods in Education and Psychology: A Critical Perspective’, Australian Journal of Education 40(2), 190–209.

    Article  Google Scholar 

  • Harris, P.: 1991, Mathematics in a Cultural Context: Aboriginal Perspectives of Space, Time and Money, Deakin University, Geelong.

    Google Scholar 

  • Hiebert, J. & Behr, M. (eds.): 1988, Research Agenda in Mathematics Education: Number Concepts and Operations in the Middle Grades, National Council of Teachers of Mathematics, Reston, VA, and Lawrence Erlbaum, Hillsdale, NJ.

    Google Scholar 

  • Hiebert, J. & Carpenter, T. P.: 1992, ‘Learning and Teaching with Understanding’, in D. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, Macmillan, New York, 65–100.

    Google Scholar 

  • Kemmis, S. & McTaggart, R. (eds.) (1988), The Action Research Planner, Deakin University, Geelong.

    Google Scholar 

  • Khisty, L. L.: 1995, ‘Making Inequality: Issues of Language and Meanings in Mathematics Teaching with Hispanic Students’, in W. G. Secada, E. Fennema & L. B. Adajian (eds.), New Directions for Equity in Mathematics Education, Cambridge University Press, Cambridge, 279–297.

    Google Scholar 

  • Kilpatrick, J.: 1992, ‘A History of Research in Mathematics Education’, in D. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, Macmillan, New York, 3–38.

    Google Scholar 

  • Kilpatrick, J.: 1993, ‘Beyond Face Value: Assessing Research in Mathematics Education’, in G. Nissen & M. Blomhøj (eds.), Criteria for Scientific Quality and Relevance in the Didactics of Mathematics, Danish Research Council for the Humanities, Roskilde, Denmark, 15–34.

    Google Scholar 

  • Kitchen, R.: 1995, ‘Mathematics Pedagogy in the 3rd World: The Case of a Guatemalan Teacher’, ISGEm Newsletter, 10(2), 1–4.

    Google Scholar 

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

    Book  Google Scholar 

  • Lean, G. A., Clements, M. A. & Del Campo, G.: 1990, ‘Linguistic and Pedagogical Factors Affecting Children’s Understanding of Arithmetic Word Problems’, Educational Studies in Mathematics 21, 165–191.

    Article  Google Scholar 

  • Lovitt, C. & Clarke, D. M.: 1988, Mathematics Curriculum and Teaching Program Activity Bank (Vol. 1), Curriculum Development Centre, Canberra.

    Google Scholar 

  • McGaw, B.: 1996, ‘Response to Brian D. Haig’, Australian Journal of Education 40(2), 209–213.

    Article  Google Scholar 

  • Mellin-Olsen, S.: 1987, The Politics of Mathematics Education, Reidel, Dordrecht.

    Google Scholar 

  • Menon, R.: 1993, ‘Statistical Significance Testing Should Be Discontinued in Mathematics Education Research’, Mathematics Education Research Journal 5(1), 4–18.

    Article  Google Scholar 

  • Nettles, M. T. & Bernstein, A. R.: 1995, ‘Introduction: The Pursuit of Equity in Educational Testing and Assessment’, in M. T. Nettles & A. L. Nettles (eds.), Equity and Excellence in Educational Testing and Assessment, Springer Science+Business Media Dordrecht, Boston, MA, 3–21.

    Chapter  Google Scholar 

  • Riley, M. S., Greeno, J. & Heller, J. I.: 1983, ‘Development of Children’s Problem-Solving Ability in Arithmetic’, in H. P. Ginsburg (ed.), The Development of Mathematical Thinking, Academic Press, New York, 153–196.

    Google Scholar 

  • Romberg, T. A.: 1981, ‘Towards a Research Consensus in Some Problem Areas in the Learning and Teaching of Mathematics’, in Proceedings of the Fifth International Conference on the Psychology of Mathematics Education, International Group for the Psychology of Mathematics Education, Grenoble, Vol. 3, 31–46.

    Google Scholar 

  • Romberg, T. A.: 1983, ‘Towards “Normal Science” in Some Mathematics Education Research’, Zentralblatt für Didaktik der Mathematik 15, 89–92.

    Google Scholar 

  • Saxe, G.: 1988, ‘Linking Language with Mathematics Achievement: Problems and Prospects’, in R. Cocking & J. P. Mestre (eds.), Linguistic and Cultural Influences on Learning Mathematics, Lawrence Erlbaum, Hillsdale, NJ, 47–62.

    Google Scholar 

  • Schmidt, F. L.: 1996, ‘Statistical Significance Testing and Cumulative Knowledge in Psychology: Implications for Training of Researchers’, Psychological Methods 1(2), 115–129.

    Article  Google Scholar 

  • Secada, W. G.: 1988, ‘Diversity, Equity, and Cognitivist Research’, in E. Fennema, T. P. Carpenter & S. J. Lamon (eds.), Integrating Research on Teaching and Learning Mathematics, University of Wisconsin-Madison, Madison, 20–58.

    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 

  • Sereda, J.: 1993, ‘Educational Quality Indicators in Art and Mathematics’, Alberta Journal of Education 39(2), 17–233.

    Google Scholar 

  • Shea, C.: 1996(September 11), ‘Are Stats Skewing Psychology?’ The Australian, 26.

    Google Scholar 

  • Shumway, R. J. (ed.): 1980, Research in Mathematics Education, National Association of Teachers of Mathematics, Reston, VA.

    Google Scholar 

  • Sierpinska, A.: 1993, ‘Criteria for Scientific Quality and Relevance in the Didactics of Mathematics’, in G. Nissen & M. Blomhøj (eds.), Criteria for Scientific Quality and Relevance in the Didactics of Mathematics, Danish Research Council for the Humanities, Roskilde, Denmark, 35–74.

    Google Scholar 

  • Skovsmose, O.: 1994a, ‘Towards a Critical Mathematics Education’, Educational Studies in Mathematics Education 27(1), 35–57.

    Article  Google Scholar 

  • Skovsmose, O.: 1994b, Towards a Philosophy of Critical Mathematics Education, Springer Science+Business Media Dordrecht, Dordrecht.

    Book  Google Scholar 

  • Sowder, J. T. (ed.): 1989, Research Agenda in Mathematics Education: Setting a Research Agenda, National Council of Teachers of Mathematics, Reston, VA, and Lawrence Erlbaum, Hillsdale, NJ.

    Google Scholar 

  • Stigler, J. W. & Baranes, R.: 1988, ‘Culture and Mathematics Learning’, in E. Z. Rothkopf (ed.), Review of Research in Education 15, 1988-89, American Educational Research Association, Washington, DC, 253–306.

    Google Scholar 

  • Suprapto Brotosiswojo, B.: 1995(November), ‘An Experience in Managing a Large System of Distance Education’. Paper presented at the First International Symposium on ‘Networking into the 21st Century’, Jogyakarta, Indonesia.

    Google Scholar 

  • Tan Sean Huat & Sim Jin Tan: 1991, Thinking in Science and Mathematics Project: Interim Report, SEAMEO-RECSAM, Penang, Malaysia.

    Google Scholar 

  • Thongtawat, N.: 1992, Comparing the Effectiveness of Multiple-Choice and Short-Answer Paper-and-Pencil Tests, SEAMEO/RECSAM, Penang, Malaysia.

    Google Scholar 

  • Volmink, J. D.: 1994, ‘Mathematics by All’, in S. Lerman (ed.), Cultural Perspectives on the Mathematics Classroom, Springer Science+Business Media Dordrecht, Dordrecht, 51–67.

    Chapter  Google Scholar 

  • Wagner, S. & Kieran, C. (eds.): 1989, Research Agenda in Mathematics Education: The Teaching and Assessing of Mathematical Problem Solving, National Council of Teachers of Mathematics, Reston, VA, and Lawrence Erlbaum, Hillsdale, NJ.

    Google Scholar 

  • Wilson, J. W.: 1994, ‘Guest Editorial’, Journal for Research in Mathematics Education 25(1), 2–3.

    Google Scholar 

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Author information

Authors and Affiliations

  1. The University of Southern Queensland, Toowoomba, Queensland, 4350, Australia

    Nerida F. Ellerton (Faculty of Education)

  2. Sultan Hassanal Bolkiah Institute of Education, Universiti Brunei Darussalam, Bandar Seri Begawan, Negara Brunei Darussalam

    M. A. Clements

Authors
  1. Nerida F. Ellerton
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  2. M. A. Clements
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Editor information

Editors and Affiliations

  1. Concordia University, Montreal, Quebec, Canada

    Anna Sierpinska

  2. University of Georgia, Athens, Georgia, USA

    Jeremy Kilpatrick

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Ellerton, N.F., Clements, M.A. (1998). Transforming the International Mathematics Education Research Agenda. In: Sierpinska, A., Kilpatrick, J. (eds) Mathematics Education as a Research Domain: A Search for Identity. New ICMI Studies Series, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5470-3_11

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  • DOI: https://doi.org/10.1007/978-94-011-5470-3_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-4600-5

  • Online ISBN: 978-94-011-5470-3

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