Learning mathematics in a computer algebra environment: Obstacles are opportunities;Mathematiklernen in einer Computeralgebra-Umgebung: Hindernisse sind Möglichkeiten

ZDM - International Journal on Mathematics Education

Volumn 34, Issue 5, 2002, Pages 221-228

  Drijvers, Paul ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749369678     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/BF02655825     Document Type: Article

References (20)

1. Arcavi, A. (1994): Symbol Sense: Informal Sense-making in Formal Mathematics. - In: For the Learning of Mathematics 14(3), p. 24-35.
2. Artigue, M. (1997): Le logiciel 'Derive' comme révélateur de phénomènes didactiques liés à l'utilisation d'environnements informatiques pour l'apprentissage. - In: Educational Studies in Mathematics 33, p. 133-169.
3. Drijvers, P. (2000): Students encountering obstacles using a CAS. - In: International Journal of Computers for Mathematical Learning, 5(3), p. 189-209.
4. Drijvers, P. (2002): Algebra on a screen, on paper and in the mind. - In: Fey, J.; Cuoco, A.; Kieran, C.; McMullin, L.; Zbiek, R. M. (Eds), Computer Algebra Systems in Secondary School Mathematics Education. Reston: National Council of Teachers of Mathematics.
5. Drijvers, P.; Van Herwaarden, O. (2000): Instrumentation of ICT-tools: the case of algebra in a computer algebra environment. - In: International Journal of Computeralgebra in Mathematics Education 7(4), p. 255-275.
6. Drijvers, P.; Van Herwaarden, O. (2001): Instrumentation of ICT-tools: the case of algebra in a computer algebra environment. - In: Herget, W.; Sommer, R. (Eds), Lernen im Mathematikunterricht mit Neuen Medien, 9-20. Hildesheim/Berlin: Franzbecker.
7. Gravemeijer, K. P. E.; Cobb, P.; Bowers, J.; Whitenack, J. (2000): Symbolizing, Modeling, and Instructional Design. -In: P. Cobb; E. Yackel; K. McClain (Eds.), Symbolizing and communicating in mathematics classrooms: Perspectives on discourse, tools, and instructional design, p. 225-273. Mahwah, NJ: Lawrence Erlbaum Associates.
8. Gray, E.M.; Tall, D.O. (1994): Duality, ambiguity, and flexibility: a "proceptual" view of simple arithmetic. - In: Journal for Research in Mathematics Education 25(2), p. 116-140.
9. Guin, D.; Trouche, L. (2002): Mastering by the teacher of the instrumental genesis in CAS environments: necessity of instrumental orchestrations. - In this issue.
10. Heugl, H.; Kutzler, B. (1993): Derive in Education, Opportunities and Strategies. Bromley: Chartwell-Bratt.
11. Lagrange, J.-b. (1999a): Complex calculators in the classroom: theoretical and practical reflections on teaching pre-calculus. - In: International Journal of Computers for Mathematical Learning 4, p. 51-81.
12. Lagrange, J.-b. (1999b): Techniques and concepts in precalculus using CAS: a two-year classroom experiment with the TI-92. - In: The International Journal of Computer Algebra in Mathematics Education 6(2), p. 143-165.
13. Lagrange, J.-b. (2000): L'intégration d'instruments informatiques dans l'enseignement: une approche par les techniques. - In: Educational Studies in Mathematics 43, 1-30.
14. Rabardel, P. (1995): Les hommes et les technologies - approche cognitive des instruments contemporains. Paris: Armand Colin.
15. Sfard, A. (1991): On the dual nature of mathematical conceptions: reflections on processes and objects as different sides of the same coin. - In: Educational Studies in Mathematics 22, p. 1-36.
16. Simon, M. A. (1995): Reconstructing mathematics pedagogy from a constructivist perspective. - In: Journal for Research in Mathematics Education 26(2), p. 114-145.
17. Tall, D.; Thomas, M. (1991). Encouraging versatile thinking in algebra using the computer. - In: Educational Studies in Mathematics 22, p. 125-147.
18. Tall, D.; Thomas, M.; Gary Davis; Gray, E.; Simpson, A. (2000): What is the Object of the Encapsulation of a Process? - In: Journal of Mathematical Behaviour 18(2), p. 223-241.
19. Trouche, L. (2000): La parabole du gaucher et la casserole à bec verseur: étude des processus d'apprentissage dans un environnement de calculatrices symboliques. - In: Educational Studies in Mathematics 41, p. 239-264.
20. Wenger, R. H. (1987): Cognitive Science and Algebra Learning. - In: Schoenfeld, A. (Ed), Cognitive Science and Mathematical Education. New Jersey: Lawrence Erlbaum Associates.