Developing New Models of Mathematics Teaching: An Imperative for Research on Mathematics Teacher Development

Mathematics Teachers in Transition

Volumn , Issue , 2013, Pages 55-86

  Simon, Martin A ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

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EID: 85139674997     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9780203053713-9     Document Type: Chapter

References (50)

1. Balacheff, N. (1990). Tbwards a problematique for research on mathematics teaching. Journal for Research in Mathematics Education, 21, 258-272.
2. Ball, D. L. (1993a). Halves, pieces, and twoths: Constructing representational contexts in teaching fractions. In T. Carpenter, E. Fennema, & T. Romberg (Eds.), Rational numbers: An integration of research (pp. 157—196). Hillsdale, NJ: Lawrence Erlbaum Associates.
3. Ball, D. L. (1993b). With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics. The Elementary School Journal, 93, 373—397.
4. Ball, D. L., & Chazan, D. (1995). In the aftermath of the standards: Reconceiving the teacher’s role in classroom discourse. Manuscript in preparation.
5. Bauersfeld, H., Krummheuer, G., & Voigt, J. (1988) Interactional theory of learning and teaching mathematics and related microethnographical studies. In H-G. Steiner & A. Vermandel (Eds.), Foundations and methodology of the discipline of mathematics education (pp. 174-188). Antwerp, Belgium: Proceedings of the TME Conference.
6. Belenky, M., Clinchy, B., Goldberger, N., & Tarule, J. (1986). Women’s ways of knowing: The development of self, voice, and mind. New York: Basic Books.
7. Bringuier, J-C. (1980). Conversations with Jean Piaget. Chicago: University of Chicago Press.
8. Brousseau, G. (1981). Problemes de didactique des decimaux [Problems in teaching decimals], Recherches en Didactiques des Mathematiques, 2.1 37—125.
9. Brousseau, G. (1983). Les obstacles epistemologiques et les problemes en mathematiques [Epistemological obstacles and mathematical problems]. Recherches en Didactiques des Mathematiques, 4.2, 164—198.
10. Brousseau, G. (1987). Les differents roles du maitre [The different roles of the teacher]. Angers, France: P.E.N. Colloquium.
11. Cobb, P. (1989). Experiential, cognitive, and anthropological perspectives in mathematics education. For the Learning of Mathematics, 9, 32-42.
12. Cobb, P. (in press). Conducting teaching experiments in collaboration with teachers. In R. Lesh & E. Kelly (Eds.), Innovative research designs in mathematics and science education. Dordrecht, Netherlands: Kluwer.
13. Cobb, P., Wood, T., Yackel, E., & McNeal, B. (1992). Characteristics of classroom mathematics traditions: An interactional analysis. American Educational Research Journal, 29(3), 573-604.
14. Cobb, P., & Yackel, E. (in press). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. Journal of Educational Psychology.
15. Cobb, P., Yackel, E., & Wood, T. (1992a). A constructivist alternative to the representational view of mind in mathematics education. Journal for Research in Mathematics Education, 23, 2—33.
16. Cobb, P., Yackel, E., & Wood, T. (1992b). Interaction and learning in mathematics classroom situations. Educational Studies in Mathematics, 23, 99-122.
17. Cobb, P., Yackel, E., & Wood, T. (1993). Learning mathematics: Multiple perspectives, theoretical orientation. In T. Wood, P. Cobb, E. Yackel, & D. Dillon, (Eds.), Rethinking elementary school mathematics: Insights and issues. Journal for Research in Mathematics Education Monograph Series, 6, (pp. 21-32). Reston, VA: National Council of Teachers of Mathematics.
18. de Lange, J. (April, 1995). Developing theory of mathematics teaching. Symposium presentation at National Council of Teachers of Mathematics Research Presession, Boston, MA.
19. Douady, R. (1985). The interplay between different settings, tool-object dialectic in the extension of mathematical ability. In L. Streefland (Ed.), Proceedings of the ninth international conference for the Psychology of Mathematics Education (Vol. II, 33-52). Utrecht, The Netherlands.
20. Eisenhart, M. (1991). Conceptual frameworks for research circa 1991: Ideas from a cultural anthropologist; implications for mathematics education researchers. In R. 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, pp. 202-219). Blacksburg, VA.
21. Freire, P. (1971). Pedagogy of the oppressed. New York: Seaview.
22. Freudenthal, H. (1991). Revisiting mathematics education: China lectures. Dordrecht, The Netherlands: Kluwer.
23. Gravemeijer, K. (1994). Symbolizing from a developmental-research perspective. Draft of paper presented at the Symposium on Symbolizing, Communicating, and Mathematiz-ing, Vanderbilt University, Nashville, TN.
24. Gravemeijer, K. (1995). Educational development and developmental research in mathematics education. Journal for Research in Mathematics Education, 25, 443-471.
25. Lampert, M. (1990). When the problem is not the question and the solution is not the answer: Mathematical knowing and beaching. American Educational Research Journal, 27. 29-63.
26. Lampert, M. (1992). Practices and problems in teaching authentic mathematics. In F. Oser, A. Dick, & J. Patry, (Eds.), Effective and responsible teaching: The new synthesis, (pp. 295-314). San Francisco: Jossey-Bass.
27. National Council of Tteachers of Mathematics (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: Author.
28. National Council of Teachers of Mathematics (1991). Professional standards for teaching mathematics. Reston, VA: Author.
29. Piaget, J. (1977). The principles of genetic epistemology. London: Routledge & Kegan Paul.
30. Piaget, J. (1985). The equilibration of cognitive structures: The central problem of intellectual development. Chicago: University of Chicago.
31. Simon, M. (1994). Learning mathematics and learning to teach: Learning cycles in mathematics teacher education. Educational Studies in Mathematics, 26, 71-94.
32. Simon, M. (1995a). Reconstructing mathematics pedagogy from a constructivist perspective. Journal for Research in Mathematics Education, 26, #2, 114-145.
33. Simon, M. (1995b). Elaborating models of mathematics teaching: A response to Steffe and D’Ambrosio. Journal for Research in Mathematics Education, 26, #2, 160—162.
34. Simon, M. (in press). Research on mathematics teacher development: The teacher development experiment. In R. Lesh & E. Kelly (Eds.), Innovative research designs in mathematics and science education. Dordecht, Netherlands: Kluwer.
35. Simon, M., & Blume, G. (1994). Building and understanding multiplicative relationships: A study of prospective elementary teachers. Journal for Research in Mathematics Education, 25, 472-494.
36. Simon, M., & Blume, G. (1996). Justification in the mathematics classroom: A study of prospective elementary teachers. Journal of Mathematical Behavior, 16, 3-31.
37. Simon, M., & Mazza, W. (1993). From learning mathematics to teaching mathematics: A case study of a prospective teacher in a reform-oriented program. In B. Pence (Ed.) Proceedings of the fifteenth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Asilomar, CA.
38. Simon, M. & Schifter, D. (1991). Towards a constructivist perspective: An intervention study of mathematics teacher development. Educational Studies in Mathematics 22, 309-331.
39. Steffe, L. (1990). Mathematics curriculum design: A constructivist perspective. In L. Steffe & T. Wood (Eds.), Transforming children’s mathematics education: International perspectives, (pp. 389-398). Hillsdale, NJ: Lawrence Erlbaum Associates.
40. Steffe, L. (1991). The constructivist teaching experiment: Illustrations and implications. In E. von Glasersfeld (Ed.), Radical constructivism in mathematics education, (pp. 177—194). Dordrecht, The Netherlands: Kluwer.
41. Steffe, L., & D’Ambrosio, B. (1995). Tbward a working model of constructivist teaching: A reaction to Simon. Journal for Research in Mathematics Education, 26, #2, 146-159.
42. Steffe, L., & Tzur, R. (1994). Interaction and children’s mathematics. Journal of Research in Childhood Education, 8, #2, 99-116.
43. Steffe, L., & Wiegel, H. (1992). On reforming practice in mathematics education. Educational Studies in Mathematics, 23, 445—465.
44. Streeck, J. (1979). Sandwich. Good for you. In J. Dittman (Ed.), Arbeiten zur konversations analyse [Work toward analysis of conversation], (pp. 235-257). Tubingen, Germany: Niemeyer.
45. Streefland, L. (1990). Realistic Mathematics Education (RME). What does it mean? In K. Gravemeijer, M. van den Heuvel, & L. Streefland (Eds.), Contexts free productions tests and geometry in Realistic Mathematics Education (pp. 1-9). Utrecht, the Netherlands: Research group for Mathematics Education and Educational Computer Centre State University.
46. Streefland, L. (1991). Fractions in Realistic Mathematics Education: A paradigm of developmental research. Dordrecht, Netherlands: Kluwer.
47. Treffers, A. (1987). Three dimensions: A model of goal and theory description in mathematics instruction-The Wiskobas Project. Dordrecht: Reidel.
48. Tzur, R., (1995). Interaction and children’s fraction learning. Athens: GA: University of Georgia, unpublished doctoral dissertation.
49. von Glasersfeld, E. (1989). Cognition, construction of knowledge, and teaching. Synthese, 80, 121-140.
50. von Glasersfeld, E., & Steffe, L. (1991). Conceptual models in educational research and practice. The Journal of Educational Thought, 25(2), 91-103.