Reconciling theory, research, and practice: A models and modelling perspective

Educational Studies in Mathematics

Volumn 54, Issue 2-3, 2003, Pages 225-248

  English, Lyn D ^a  

^a QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3843146219     PISSN: 00131954     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:educ.0000006167.14146.7b     Document Type: Article

References (37)

1. Ball, D. and Cohen, D.K.: 1999, 'Developing practice, developing practitioners: Toward a practice-based theory of professional education', in G. Sykes and L. Darling Hammond (eds.), Teaching as the Learning Profession: Handbook of Policy and Practice, Jossey-Bass, San Francisco, pp. 3-32.
2. Bazzini, L.: 1991, 'Curriculum development as a meeting point for research and practice', ZDM 23(4), 128-131.
3. Bransford, J.D., Zech, L., Schwartz, D., Barron, B., Vye, N. and The Cognition and Technology Group at Vanderbilt University: 1996, 'Fostering mathematical thinking in middle school students: Lessons from research', in R.J. Sternberg and T. Ben-Zeev (eds.), The Nature of Mathematical Thinking, Lawrence Erlbaum, Hillsdale, NJ, pp. 203-250.
4. Breen, C.: In press, 'Mathematics teachers as researchers: living on the edge?' in A. Bishop, K. Clements, C. Keitel and J. Kilpatrick (eds.), The Second International Handbook of Mathematics Education, Kluwer Academic Publishers, Dordrecht.
5. Cobb, P., Confrey, J., diSessa, A., Lehrer, R. and Schauble, L.: 2003, 'Design experiments in educational research', Educational Researcher 32(1), 5-8.
6. Doerr, H.M.: 1997, 'Experiment, simulation and analysis: An integrated instructional approach to the concept of force', International Journal of Science Education 19(3), 265-282.
7. Doerr, H.M. and English, L.D.: 2003, 'A modeling perspective on students' mathematical reasoning about data', Journal for Research in Mathematics Education 34(2), 110-136.
8. Doerr, H.M. and English, L.D.: submitted, Middle-Grade Teachers' Interpretations and Support of Students' Mathematical Reasoning.
9. Doerr, H.M. and Lesh, R.: 2003, 'A modelling perspective on teacher development', in R. Lesh and H.M. Doerr (eds.), Beyond Constructivism: A Models and Modeling Perspective on Mathematics Problem Solving, Learning and Teaching, Lawrence Erlbaum, Hillsdale, NJ, pp. 125-139.
10. English, L.D. and Lesh, R.A.: 2003, 'Ends-in-view problems', in R.A. Lesh and H. Doerr (eds.), Beyond Constructivism: A Models and Modelling Perspective on Teaching, Learning, and Problem Solving in Mathematics Education, Lawrence Erlbaum, Mahwah, NJ, pp. 297-316.
11. English, L.D. and Lesh, R.: 2003, 'Ends-in-view problems', in R. Lesh and H.M. Doerr (eds.), Beyond Constructivism: Models and Modelling Perspectives on Mathematics Problem Solving, Learning, and Teaching, Lawrence Erlbaum Associates, Mahwah, NJ, pp. 297-316.
12. Fernandez, C., Cannon, J. and Chokshi: In press, 'A U.S.-Japan lesson study collaboration reveals critical lenses for examining practice', Teaching and Teacher Education.
13. Freudenthal, H.: 1973, Didactical Phenomenology of Mathematical Structures, Kluwer Academic Publishers, Boston.
14. Gravemeijer, K., Cobb, P., Bowers, J. and Whitenack, J.: 2000, 'Symbolizing, modelling, and instructional design', in P. Cobb, E. Yackel and K. McClain (eds.), Symbolizing and Communicating in Mathematics Classrooms, Lawrence Erlbaum, Mahwah, NJ, pp. 225-274.
15. Greeno, J.G.: 1991, 'Number sense as situated knowing in a conceptual domain', Journal for Research in Mathematics Education 22(3), 170-218.
16. Greeno, J.G. and Goldman, S.V. (eds.): 1998, Thinking Practices in Mathematics and Science Learning, Lawrence Erlbaum, Mahwah, NJ.
17. Guskey, T.R.: 1984, 'The influence of change in instructional effectiveness upon the affective characteristics of teachers', American Educational Research Journal 21, 245-259.
18. Kaput, J.: 1987, 'Representation systems and mathematics', in C. Janvier (ed.), Problems of Representation in the Teaching and Learning of Mathematics, Lawrence Erlbaum, Hillsdale, NJ, pp. 19-26.
19. Kelly, A.E. and Lesh, R.A. (eds.): 2000, Handbook of Research Design in Mathematics and Science Education, Lawrence Erlbaum, Mahwah, NJ.
20. Krainer, K.: 1994, 'Integrating research and teacher in-service education as a means of mediating theory and practice in mathematics education', in L. Bazzini (ed.), Theory and Practice in Mathematics Education, Proceedings of the fifth international conference on systematic cooperation between theory and practice in mathematics education, Pavia, Italy, pp. 121-132.
21. Lesh, R. and Doerr, H.M.: 2003, Beyond Constructivism: A Models and Modeling Perspective on Mathematics Problem Solving, Learning and Teaching, Lawrence Erlbaum, Hillsdale, NJ.
22. Lesh, R.A.: 2002, 'Research design in mathematics education: Focusing on design experiments', in L.D. English (ed.), Handbook of International Research in Mathematics Education: Directions for the 21(st)century, Lawrence Erlbaum, Mahwah, NJ, pp. 27-50.
23. Lesh, R.A. and Kelly, A.E.: 2000, 'Multi-tiered teaching experiments', in R.A. Lesh and A. Kelly (eds.), Handbook of Research Design in Mathematics and Science Education, Lawrence Erlbaum, Mahwah, NJ, pp. 197-23.
24. Lesh, R.A. and Lehrer, R.: 2003, 'Models and modelling perspectives on the development of students and teachers', Mathematical Thinking and Learning 5(2&3), 109-130.
25. Lesh, R.A., Cramer, K., Doerr, H.M., Post, T. and Zawojewski, J.: 2003, 'Model development sequences', in R.A. Lesh and H.M. Doerr (eds.), Beyond Constructivism: A Models and Modeling Perspective on Mathematics Problem Solving, Learning and Teaching, Lawrence Erlbaum, Hillsdale, NJ.
26. Liberman, A.: 1996, 'Practices that support teacher development: Transforming conceptions of professional learning', in M.W. McLaughlin and I. Oberman (eds.), Teacher Learning: New policies, New Practices, Teachers College Press, New York, NY, pp. 185-201.
27. Mason, J.H.: 1990, 'Reflections on dialogue between theory and practice, reconciled by awareness', in F. Seeger and H. Steinbring (eds.), The Dialogue between Theory and Practice in Mathematics Education: Overcoming the Broadcast Metaphor, Proceedings of the Fourth Conference on Systematic cooperation between theory and practice in mathematics education. Brakel, Germany, pp. 177-192.
28. st century, Lawrence Erlbaum, Mahwah, NJ, pp. 409-431.
29. Peter-Koop, A., Begg, A., Breen, C. and Santos-Wagner, V. (eds.): In press, Collaboration in Teacher Education: Examples from the Context of Mathematics Education, Kluwer Academic Publishers, Dordrecht.
30. Schavelson, R.J., Phillips, D.C., Towne, L. and Feuer, M.J.: 2003, 'On the science of education design studies,' Educational Researcher 32(1), 25-28.
31. Schorr, R.Y. and Koellner-Clark, K.: 2003, 'Using a modeling approach to analyze the ways in which teachers consider new ways to teach mathematics', Mathematical Thinking and Learning 5(2&3), 191-210.
32. Schorr, R.Y. and Lesh, R.A.: 2003, 'A modelling approach for providing teacher development', in R.A. Lesh and Doerr, H.M. (eds.), Beyond Constructivism: A Models and Modeling Perspective on Mathematics Problem Solving, Learning and Teaching, Lawrence Erlbaum, Hillsdale, NJ, pp. 141-158.
33. Stein, M.K., Schwan Smith, M. and Silver, E.A.: 1999, 'The development of professional developers: Learning to assist teachers in new settings in new ways', Harvard Educational Review 69(3), 237-269.
34. Stevens, R.: 2000, 'Who counts what as mathematics: Emergent and assigned mathematics problems in a project-based classroom', in J. Boaler (ed.), Multiple Perspectives on Mathematics Teaching and Learning, Ablex Publishing, Westport, CT, pp. 105-144.
35. The Design-Based Research Collective: 2003, 'Design-based research: An emerging paradigm for educational inquiry', Educational Researcher 32(1), 5-8.
36. Willinsky, J.: 2001, 'The strategic education research program and the public value of education', Educational Researcher 30(1), 5-14.
37. Zech, L.K., Gause-Vega, C.L., Bray, M.H., Secules, T. and Goldman, S.: 2000, 'Content-based collaborative inquiry: A professional development model for sustaining educational reform', Educational Psychologist 35(3), 207-218.