A global survey of international perspectives on modelling in mathematics education

ZDM - International Journal on Mathematics Education

Volumn 38, Issue 3, 2006, Pages 302-310

  Kaiser, Gabriele ^a   Sriraman, Bharath ^b  

^a UNIVERSITY OF HAMBURG   (Germany)

^b UNIVERSITY OF MONTANA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78649566758     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/BF02652813     Document Type: Article

References (46)

1. Barbosa, J.C. (2006). Mathematical Modelling in classroom: a critical and discursive perspective. Zentralblatt für Didaktik der Mathematik, 38(3), 293-301.
2. Blomhoj, M. (2004). Mathematical Modelling - A Theory for Practice. In B. Clarke et al. (Eds.), International Perspectives on Learning and Teaching Mathematics (pp. 145-159). Göteborg: National Center for Mathematics Education.
3. Blomhøj, M. & Hoff Kjeldsen, T. (2006). Teaching mathematical modelling through project work - Experiences from an in-service course for upper secondary teachers. Zentralblatt für Didaktik der Mathematik, 38 (2), 163-177.
4. Blum, W. (1996). Anwendungsbezüge im Mathematikunterricht - Trends und Perspektiven. In G. Kadunz, H. Kautschitsch, G. Ossimitz & E. Schneider (Ed.), Trends und Perspektiven (pp. 15-38). Wien: Hölder- Pichler-Tempsky.
5. Blum, W. et al. (2002). ICMI Study 14: Applications and Modelling in Mathematics Education - Discussion Document. Journal für Mathematik-Didaktik, 23(3/4), 262-280.
6. Blum, W. & Niss, M. (1991). Applied Mathematical Problem Solving, Modelling, Applications, and Links to Other Subjects. Educational Studies in Mathematics, 22, 37-68.
7. Blum, W. & Leiß, D. (2005). "Filling Up" - the Problem of Independence-preserving Teacher Interventions in Lessons with Demanding Modelling Tasks. (To appear in) Proceedings of the 4th European Congress of Mathematics Education, in St. Feliu de Guixols, Spain, Feb 16-22, 2005.
8. Burghes, D.N. & Huntley, I. (1982). Teaching mathematical modelling - reflections and advice. International Journal of Mathematical Education in Science and Technology, 13, 6, 735-754.
9. Borromeo Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. Zentralblatt für Didaktik der Mathematik, 38 (2), 86-95.
10. Burkhardt, H. (2006). Modelling in mathematics classrooms: reflections on past developments and the future. Zentralblatt für Didaktik der Mathematik, 38 (2), 178-195.
11. D'Ambrosio, U. (1999) Literacy, matheracy and technocracy: a trivium for today. Mathematical thinking and learning, 1 (2), 131-153.
12. De Lange, J. (1987). Mathematics - insight and meaning. Utrecht: Rijksuniversiteit Utrecht.
13. Doerr, H.M. (2006). Teachers' ways of listening and responding to students' emerging mathematical models. Zentralblatt für Didaktik der Mathematik, 38(3),. 255-268.
14. Dorier, J.-L. (2005). An introduction to mathematical modelling - an experiment with students in economics. (To appear in) Proceedings of the 4th European Congress of Mathematics Education, in St. Feliu de Guixols, Spain, Feb 16-22, 2005.
15. Freudenthal, H. (1973). Mathematics as an Educational Task. Dordrecht: Reidel.
16. Freudenthal, H. (1981). Mathematik, die uns angeht. Mathematiklehrer, 2, 3-5.
17. Galbraith, P. & Stillman, G. (2006). A framework for identifying student blockages during transitions in the Modelling process. Zentralblatt für Didaktik der Mathematik, 38 (2), 143-162.
18. Garcia Garcia, J. & Ruiz Higueras, L. (2005). Mathematical Praxeologies of Increasing Complexity: Variation systems modelling in Secondary Education. (To appear in) Proceedings of the 4th European Congress of Mathematics Education, in St. Feliu de Guixols, Spain, Feb 16-22, 2005.
19. García, F.J., Gascón, J., Ruiz Higueras, L. & Bosch, M.(2006). Mathematical modelling as a tool for the connection of school mathematics. Zentralblatt für Didaktik der Mathematik, 38(3), 226-246.
20. Gellert, U., Jablonka, E. & Keitel, C. (2001). Mathematical Literacy and Common Sense in Mathematics Education. In B. Atweh, H. Forgasz & B. Nebres (Eds.), Sociocultural Research on Mathematics Education (pp. 57-76). Mahwah: Lawrence Erlbaum Associates.
21. Haines, C.P. & Crouch, R. (2005). Getting to grips with real world contexts: Developing research in mathematical modelling. (To appear in) Proceedings of the 4th European Congress of Mathematics Education, in St. Feliu de Guixols, Spain, Feb 16-22, 2005.
22. Henning, H. & Keune, M. (2005). Levels of Modelling Competence. (To appear in) Proceedings of the 4th European Congress of Mathematics Education, in St. Feliu de Guixols, Spain, Feb 16-22, 2005.
23. Iversen, S.M. & Larson, C.J. (2006). Simple thinking using complex math vs. complex thinking using simple math. Zentralblatt für Didaktik der Mathematik, 38(3), 281-292.
24. Kaiser-Messmer, G. (1986). Anwendungen im Mathematikunterricht. Vol. 1 Theoretische Konzeptionen. Bad Salzdetfurth: Franzbecker.
25. Kaiser, G. (1995). Realitätsbezüge im Mathematikunterricht - Ein Überblick über die aktuelle und historische Diskussion. In G. Graumann et al. (Eds.), Materialien für einen realitätsbezogenen Mathematikunterricht (pp. 66-84). Bad Salzdetfurth: Franzbecker.
26. Kaiser, G. (2005). Introduction to the Working Group "Applications and modelling" (G14) (To appear in) Proceedings of the 4th European Congress of Mathematics Education, in St. Feliu de Guixols, Spain, Feb 16-22, 2005.
27. Kaiser, G. & Schwarz, B. (2006). Mathematical modelling as bridge between school and university. Zentralblatt für Didaktik der Mathematik, 38(2), 196-208.
28. Lesh, R. & Doerr, H. (Eds.) (2003). Beyond Constructivism: A models and modeling perspective on mathematics problem solving, learning, and teaching. Mahwah: Lawrence Erlbaum Associates, Mahwah.
29. Lesh, R. & Sriraman, B. (2005a). John Dewey Revisited - Pragmatism and the modelsmodeling perspective on mathematical learning. In A. Beckmann et al. (Eds.), Proceedings of the 1st International Symposium on Mathematics and its Connections to the Arts and Sciences (pp. 32-51). May 18-21, 2005, Pedagogical University of Schwaebisch Gmuend. Hildesheim: Franzbecker.
30. Lesh, R. & Sriraman, B. (2005b). Mathematics education as a design science. Zentralblatt für Didaktik der Mathematik, 37(6), 490-505.
31. Lester, F.K. (2005). On the theoretical, conceptual, and philosophical foundations for research in mathematics education. Zentralblatt für Didaktik der Mathematik, 37(6), 457-467.
32. Lingefjärd, T. (2005). Applied or pure MATHEMATICS. (To appear in) Proceedings of the 4th European Congress of Mathematics Education, in St. Feliu de Guixols, Spain, Feb 16-22, 2005.
33. Lingefjärd, T. (2006). Faces of mathematical modelling. Zentralblatt für Didaktik der Mathematik, 38 (2), 96-112.
34. Maaß, K. (2004). Mathematisches Modellieren im Unterricht. Hildesheim: Franzbecker.
35. Maaß, K. (2006). What are modelling competencies? Zentralblatt für Didaktik der Mathematik, 38 (2), 113-142.
36. Michelsen, C. (2006). Functions: a modelling tool in mathematics and science. Zentralblatt für Didaktik der Mathematik, 38(3), 269-280.
37. Niss, M. (2001). University mathematics based on problem-oriented student projects: 25 years of experiences with the Roskilde model. In D. Holton (ed.): The teaching and learning of mathematics at university level: an ICMI study, (pp. 405-422). Dordrecht: Kluwer Academic Publishers.
38. Pierce, P. & Stacey, K. (2006). Enhancing the image of mathematics by association with simple pleasures from real world contexts. Zentralblatt für Didaktik der Mathematik, 38(3), 214-225.
39. Pollak, H. (1969). How can we teach applications of mathematics? Educational Studies in Mathematics, 2, 393-404.
40. Revuz, A. (1971). The position of geometry in mathematical education. Educational Studiesin Mathematics, 4, 48-52.
41. Skemp, R. (1987). The psychology of learning mathematics. Hillsdale: Lawrence Erlbaum Associates.
42. Sriraman, B. (2005). Conceptualizing the notion of model-eliciting. (To appear in) Proceedings of the 4th European Congress of Mathematics Education, in St. Feliu de Guixols, Spain, Feb 16-22, 2005.
43. Sriraman, B. & Lesh, R. (2006). Modeling conceptions revisited. Zentralblatt für Didaktik der Mathematik, 38(3), 247-254.
44. Steiner, H.-G. (1968). Examples of exercises in mathematization on the secondary school level. Educational Studies in Mathematics, 1, 181-201.
45. Treffers, A. (1987). Three dimensions: a model of goal and theory descriptions in mathematics instruction - the Wiskobas Project. Dordrecht: Kluwer.
46. Vos, P. (2005). Assessment of mathematics in a laboratory-like environment: the importance of replications. (To appear in) Proceedings of the 4th European Congress of Mathematics Education, in St. Feliu de Guixols, Spain, Feb 16-22, 2005.