Providing or designing? Constructing models in primary maths education

Learning and Instruction

Volumn 13, Issue 1, 2003, Pages 53-72

  van Dijk, I M A W ^a   van Oers, B ^a   Terwel, J ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Co construction; Modelling; Primary mathematics; Socio cultural theory

Indexed keywords

EID: 0037290684     PISSN: 09594752     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0959-4752(01)00037-8     Document Type: Article

References (30)

1. Boekaerts, M., & Simons, P. R. J. (1993). Leren en instructie. Psychologie van de leerling en het leer-proces. [Learning and instruction. Psychology of the student and the learning process]. Assen: Dekker & Van de Vegt.
2. Cobb, P., Yackel, E., & McClain, K. (Eds.). (2000). Symbolizing and communicating in mathematics classrooms: Perspectives on discourse, tools, and instructional design. Mahwah, NJ: Lawrence Erlbaum Associates.
3. Dar, Y., & Resh, N. (1986). Classroom intellectual composition and academic achievement. American Educational Research Journal, 23, 357-374.
4. Davydov, V. V. (1988). Problems of developmental teaching. Soviet Education, 30, (8, 9, 10).
5. Driver, R., Asoko, H., Leach, J., Mortimer, E., & Scott, Ph. (1988). Constructing scientific knowledge in the classroom. In D. Faulkner, K. Littleton, & M. Woodhead (Eds.), Learning relationships in the classroom (pp. 258-275). London: Routeledge.
6. Forman, E. A., Larreamendy-Joerns, J., Stein, M. K., & Brown, C. A. (1998). "You're going to want to find out which and prove it": Collective argumentation in a mathematics classroom. Learning and Instruction, 8, 527-548.
7. Freudenthal, H. (1991). Revisiting Mathematics Education. China Lectures. Dordrecht: Kluwer Academic Publishers.
8. Gentner, D., & Stevens, A. L. (1983). Mental models. Hillsdale, NJ: Erlbaum.
9. Giordan, A. (Ed.). (1987). L'élève et/ou les connaisances scientifiques. [Pupils and/or their scientific knowledge]. Berne: Peter Lang.
10. Gravemeijer, K. (1997). Instructional design for reform in mathematics education. In M. Beishuizen, K. P. E. Gravemeijer, & E. C. D. M. van Lieshout (Eds.), The role of contexts and models in the development of mathematical strategies and procedures. Utrecht: CD-β Press.
11. Gravemeijer, K. P. E., & Terwel, J. (2000). Hans Freudenthal: a mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32, 777-796.
12. Hattie, J., Biggs, J., & Purdie, N. (1996). Effects of learning skills interventions on student learning: a meta-analysis. Review of Educational Research, 66, 99-136.
13. Hedegaard, M. (1990). The zone of proximal development as basis for instruction. In L. C. Moll (Ed.), Vygotsky and Education (pp. 349-371). Cambridge: Cambridge University Press.
14. Hoek, D., Van den Eeden, P., & Terwel, J. (1999). The effects of integrated social and cognitive strategy instruction on the mathematics achievement in secondary education. Learning and Instruction, 9, 427-448.
15. Landa, L. N. (1999). Landamatics instructional-design theory for teaching general methods of thinking. In C. M. Reigeluth (Ed.), Instructional-design theories and models. A new paradigm of instructional theory, Vol. II. Mahwah, NJ: Lawrence Erlbaum Associates.
16. Mayer, R. E. (1989). Models for Understanding. Review of Educational Research, 59(1), 43-64.
17. Rogoff, B. (1990). Apprenticeship in thinking. New York: Oxford University Press.
18. Rosenshine, B., Meister, C., & Chapman, S. (1996). Teaching students to generate questions: A review of the intervention studies. Review of Educational Research, 66, 181-221.
19. Säljö, R., & Greer, B. (1997). Modelling reality in mathematics classrooms [special-issue]. Learning & Instruction, 7(4), 293-397.
20. Seeger, F. (1998). Representations in the mathematics classroom. In F. Seeger, J. Voigt, & U. Waschescio (Eds.), The culture of the mathematics classroom (pp. 308-344). Cambridge: Cambridge University Press.
21. Sfard, A. (1999). Steering (dis)course between metaphors and rigor: Using focal analysis to investigate an emergence of mathematical objects. Paper presented at the 4th Congress of the International Society for Cultural Research and Activity Theory, Aarhus, Denmark.
22. Terwel, J. (1990). Real Maths in Co-operative Groups in Secondary Education. In N. Davidson (Ed.), Co-operative Learning in Mathematics (pp. 228-264). Menlo Park: Addison-Wesley.
23. Terwel, J., Gillies, R. M., Van den Eeden, P., & Hoek, D. (2001). Co-operative learning processes of students: a longitudinal multilevel perspective. British Journal of Educational Psychology, 71, 619-645.
24. Van Dijk, I. M. A. W., Van Oers, B., Terwel, J., & Van den Eeden, P. (in press). Strategic Learning in Primary Mathematics Education: Effects of an Experimental Program in Modeling. Educational Research and Evaluation.
25. Van Oers, B. (1990). The development of mathematical thinking in school: a comparison of the action psychological and the information processing approaches. International Journal of Educational Research, 14, 51-66.
26. Van Oers, B. (1996). Learning mathematics as a meaningful activity. In L. P. Steffe, P. Nesher, P. Cobb, G. A. Goldin, & B. Greer (Eds.), Theories of mathematical learning (pp. 91-113). Mahwah, NJ: Erlbaum.
27. Vosniadou, S. (1994). Capturing and modeling the process of conceptual change. Learning and Instruction, 4, 45-69.
28. Wells (1998). Dialogic Inquiry. Toward a Sociocultural Practice and Theory of Education. Cambridge: Cambridge University Press.
29. Wertsch, J. F. (1985). Vygotsky and the social formation of mind. Cambridge: Harvard University Press.
30. Yin, R. K. (1994). Case study research. Design and methods. In Applied social research methods series, vol. 5. Thousand Oaks, CA: Sage Publications.