Reconstruction of a collaborative mathematical learning process

Educational Studies in Mathematics

Volumn 65, Issue 3, 2007, Pages 309-329

  Pijls, Monique ^a   Dekker, Rijkje ^a   Van Hout Wolters, Bernadette ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Collaborative learning; Computer simulation; Mathematical level raising; Process model

Indexed keywords

EID: 33947720024     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-006-9051-3     Document Type: Article

References (21)

1. Boer, W., Bouwman, J., Van Dijk, B., Van der Eijk, E., Van de Giessen, C., De Goede, W. et al.: 1998, Moderne Wiskunde 7e editie havo bovenbouw wiskunde A1 en Bl-deel 1 [Modern Mathematics], Wolters-Noordhoff bv, Groningen.
2. Dekker, R.: 1994, 'Graphs, small groups and the process of level raising', in A. Antibi (ed.), Représentations graphique et symbolique de la maternelle à l'université, Tome 1, Université Paul Sabatier, Toulouse, pp. 184-189.
3. Dekker, R. and Elshout-Mohr, M.: 1998, 'A process model for interaction and mathematical level raising', Educational Studies in Mathematics 35(3), 303-314.
4. Dekker, R. and Elshout-Mohr, M.: 2004, 'Teacher interventions aimed at mathematical level raising during collaborative learning', Educational Studies in Mathematics 56(1), 39-65.
5. Dekker, R., Elshout-Mohr, M. and Wood, T.: 2001, 'Working together on assignments: Multiple analysis of learning events', in J.V.D. Linden and P. Renshaw (eds.), Dialogic Learning: Shifting Perspectives to Learning, Instruction, and Teaching, Kluwer Academic Publishers, Dordrecht, pp. 145-170.
6. Freudenthal, H.: 1973, Mathematics as an Educational Task, Reidel, Dordrecht.
7. Kieran, C.: 2001, The mathematical discourse of 13-year-old partnered problem solving and its relation to the mathematics that emerges', Educational Studies in Mathematics 46, 187-228.
8. Kieran, C. and Dreyfus, T.: 1998, 'Collaborative versus individual problem solving: Entering another's universe of thought', in A. Olivier and K. Newstead (eds.), Proceedings of the 22nd Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, PME, Stellenbosch, pp. 112-119.
9. Pijls, M.H.J.: 2001, Whoopy Trainer (Version 1.0) [computer software], Antropi V.O.F., Almere.
10. Pijls, M.H.J., Dekker, R. and Van Hout-Wolters, B.H.A.M.: 2003, 'Mathematical level raising through collaborative investigations with the computer', The International journal of Computers for Mathematical Learning 8(2), 191-213.
11. PRINT: 1998, Reports of meetings with teachers that participated in the project 'Project Invoering Nieuwe Technologies'.
12. Prent: 1999, Reports of meetings with teachers that participated in the project 'Praktische Opdrachten en Nieuwe Technologieën'.
13. Roschelle, J.: 1992, 'Learning by collaborating: Convergent conceptual change', The Journal of the Learning Sciences 2(3), 235-276.
14. Sfard, A.: 2003, 'Communicational conflict and learning agreement: What turns obstacles to mathematical communication into effective triggers for learning?', Proceedings of the 10th European Conference for Research on Learning and Instruction, Cooperativa Libraria Editrice Université di Padova, Padova, pp. 85-86.
15. Sfard, A. and Kieran, C.: 2001, 'Cognition as communication: Rethinking learning-by-talking through multi-faceted analysis of student' mathematical interactions', Mind, Culture, and Activity 8(1), 42-76.
16. Teasley, S.D.: 1995, The role of talk in children's peer collaborations', Developmental Psychology 31(2), 207-220.
17. Trognon, A.: 1993, 'How does the process of interaction work when two interlocutors try to resolve a logical problem?', Cognition and Instruction 11(3-4), 325-345.
18. Van Hiele, P.M.: 1986, Structure and Insight, Academic Press, Orlando.
19. Webb, N.M.: 1991, 'Task-related verbal interaction and mathematics learning in small groups', Journal of Research in Mathematics Education 22(5), 360-389.
20. Wood, T.: 1999, 'Creating a context for argument in mathematics class', Journal for Research in Mathematics Education 30(2), 171-191.
21. Yackel, E., Rasmussen, C. and King, K.: 2000, 'Social and sociomathematical norms in an advanced undergraduate mathematics course', Journal of Mathematical Behavior 19, 275-287.