Comparing knowledge bases and reasoning structures in discussions of mathematics and pedagogy

Journal of Mathematics Teacher Education

Volumn 8, Issue 4, 2005, Pages 291-328

  Steele, Michael D ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

Case based materials; Discourse; Mathematics subject matter knowledge; Pedagogical content knowledge; Practice baed materials; Preservice teacher education; Professional development; Reasoning; Teacher learning

Indexed keywords

EID: 31444433401     PISSN: 13864416     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10857-005-0854-4     Document Type: Article

References (47)

1. A.D. Aczel 1996 Fermat's Last Theorem: Unlocking the secret of an ancient mathematical problem Four Walls Eight Windows New York
2. D.L. Ball 1991 Research on teaching mathematics: Making subject matter knowledge part of the equation J. Brophy Advances in research on teaching: Volume 2, Teacher's knowledge of subject matter as it relates to their teaching practices JAI Press Greenwich CT 1-48
3. D.L. Ball D.K. Cohen 1999 Developing practice, developing practitioners: Toward a practice-based theory of professional education G. Sykes L. Darling-Hammond Teaching as the learning profession: Handbook of policy and practice Jossey Bass San Francisco 3-32
4. C. Barnett 1991 Building a case-based curriculum to enhance the pedagogical content knowledge of mathematics teachers Journal of Teacher Education 42 4 263-272
5. C. Barnett 1998 Mathematics teaching cases as a catalyst for informed strategic inquiry Teaching and Teacher Education 14 1 81-93 10.1016/ S0742-051X(97)00062-0
6. J. Boaler J.G. Greeno 2000 Identity, agency, and knowing in mathematics worlds J. Boaler Multiple perspectives on mathematics teaching and learning Ablex Publishing Westport, CT 171-200
7. C. Bolster 2002 Modeling middle school mathematics Bolster Education Annapolis, MD
8. R. Bromme H. Tillema 1995 Fusing experience and theory: The structure of professional knowledge Learning and Instruction 5 4 261-267 10.1016/ 0959-4752(95)00018-6
9. C.A. Chinn R.C. Anderson 1998 The structure of discussions that promote reasoning Teachers College Record 100 2 315-368
10. C.A. Chinn A.M. O'Donnell T.S. Jinks 2000 The structure of discourse in collaborative learning Journal of Experimental Education 69 1 77-97
11. M. Cochran-Smith S. Lytle 1999 Relationships of knowledge and practice: Teacher learning in community Review of Research in Education 24 249-305
12. O.K. Duell 1994 Extended wait-time and university-student achievement American Educational Research Journal 31 2 397-414
13. Engle, R.A. (in press). Explaining a challenging case of transfer from cognitive and situative perspectives. The Journal of The Learning Sciences
14. R. Even 1993 Subject-matter knowledge and pedagogical content knowledge: Prospective secondary teachers and the function concept Journal for Research in Mathematics Education 24 2 94-116
15. R. Even 2003 What can teachers learn from research in mathematics education? For the Learning of Mathematics 23 3 38-42
16. Even, R. (2004, April). Integrating knowledge and practice in the preparation of providers of professional development for teachers: theoretical and empirical challenges. Paper presented at the Annual Meeting of the American Educational Research Association, San Diego, CA
17. E.A. Forman J. Larreamendy-Joerns M.K. Stein C.A. Brown 1998 You're going to want to find out which and prove it: Collective argumentation in a mathematics classroom Learning and Instruction 8 6 527-548 10.1016/ S0959-4752(98)00033-4
18. S.N. Friel L.W. Carboni 2000 Using video-based pedagogy in an elementary mathematics methods course School Science and Mathematics 100 3 118-127
19. A.O. Graeber D. Tirosh R. Glover 1989 Preservice teachers' misconceptions in solving verbal problems in multiplication and division Journal for Research in Mathematics Education 20 95-102
20. J.G. Greeno 1991 Number sense as situated knowing in a conceptual domain Journal for Research in Mathematics Education 22 3 170-218
21. J.G. Greeno D.R. Smith J.L. Moore 1993 Transfer of situated learning D.K. Detterman R.J. Sternberg Transfer on trial: Intelligence, cognition, and instruction Erlbaum Mahwah, NJ 99-127
22. G. Hanna 1989 More than formal proof For the learning of mathematics 9 1 20-23
23. G. Hanna 1991 Mathematical proof D. Tall Advanced mathematical thinking Kluwer Dordrecht, The Netherlands 54-61
24. G. Hanna 1995 Challenges to the importance of proof For the learning of mathematics 15 3 42-49
25. G. Leinhardt 2001 Instructional explanations: A commonplace for teaching and location for contrast V. Richardson Handbook of research on teaching 4 American Educational Research Association Washington, DC 333-357
26. G. Leinhardt M.D. Steele 2005 Seeing the complexity of standing to the side: Instructional dialogues Cognition and Instruction 23 1 87-163 10.1207/s1532690xci2301_4
27. L. Ma 1999 Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States Lawrence Erlbaum Associates Hillsdale, NJ
28. National Council of Teachers of Mathematics 1989 Curriculum and evaluation standards for school mathematics NCTM Reston, VA
29. National Council of Teachers of Mathematics 2000 Principles and standards for school mathematics NCTM Reston, VA
30. M.C. O'Connor S. Michaels 1993 Aligning academic task and participation status through revoicing: Analysis of a classroom discourse strategy Anthropology and Education Quarterly 24 318-335 10.1525/ aeq.1993.24.4.04x0063k
31. T. Post G. Harel M. Behr R. Lesh 1988 Intermediate teachers' knowledge of rational number concepts E. Fennema T.P. Carpenter S.J. Lamon Integrating research on teaching and learning mathematics Center for Education Research Madison WI 177-198
32. R.T. Putman M. Lampert P.L. Peterson 1990 Alternative perspectives on knowing mathematics in elementary schools Review of Research in Education 16 57-150
33. M.G. Sherin 2002 When teaching becomes learning Cognition and Instruction 20 2 119-150 10.1207/S1532690XCI2002_1
34. L.S. Shulman 1986 Those who understand: Knowledge growth in teaching Educational Researcher 15 2 4-14
35. L.S. Shulman 1987 Knowledge of teaching: Foundations of the new reform Harvard Educational Review 57 1 1-22
36. J. Shulman 1999 Commentary on "The role of discussion in case pedagogy" M. Lundberg B. Levin H. Harrington Who learns what from cases and how?: The research base for teaching and learning with cases Lawrence Erlbaum Associates Mahwah, NJ 159-161
37. S. Singh 1997 Fermat's enigma: The epic quest to solve the world's greatest mathematical problem Anchor Books New York
38. M.S. Smith 2000 Balancing old and new: An experienced middle school teacher's learning in the context of mathematics instructional reform Elementary School Journal 100 4 351-375
39. M.S. Smith 2001 Practice-based professional development for teachers of mathematics National Council of Teachers of Mathematics Reston, VA
40. M.S. Smith M.K. Stein E.A. Silver M. Henningsen M. Boston E.K. Hughes 2005 Improving instruction in algebra: Using cases to transform mathematics teaching and learning (Vol. 2) Teachers College Press New York
41. M.K. Stein B.W. Grover M.A. Henningsen 1996 Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms American Educational Research Journal 33 2 455-488
42. Stein, M.K. Hughes, E.K., Engle, R.A., & Smith, M.S. (2003, April). What and how teachers learn from narrative cases: An example of teachers learning to productively use student responses. Paper presented at the 2004 Annual Meeting of the American Educational Research Association, Chicago
43. Sykes, G. & Bird, T. (1992). Teacher education and the case idea. In G. Grant (Ed.), Review of research in education (Vol. 18, pp. 457-521). Washington, DC: American Educational Research Association.
44. K. Tobin 1987 The role of wait time in higher cognitive level learning Review of Educational Research 57 1 69-95
45. S.E. Toulmin 1958/2003 The uses of argument Cambridge University Press Cambridge
46. S.S. Willoughby 2000 Perspectives on mathematics education M.J. Burke F.R. Curcio Learning mathematics for a new century National Council of Teachers of Mathematics Reston, VA 1-15
47. S.M. Wilson 2003 California dreaming: Reforming mathematics education Yale University Press New Haven