Instrumenting mathematical activity: Reflections on keys studies of the educational use of computer algebra systems

International Journal of Computers for Mathematical Learning

Volumn 7, Issue 3, 2002, Pages 275-291

  Ruthven, Kenneth ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Computer algebra systems; Computer and calculator uses in education; Mathematical thinking; Mathematics teaching and learning; Secondary and post secondary education

Indexed keywords

COGNITIVE SYSTEMS; FORMAL LOGIC; MATHEMATICAL TECHNIQUES; POCKET CALCULATORS; STUDENTS; TEACHING;

COMPUTER ALGEBRA SYSTEMS; MATHEMATICAL THINKING; MATHEMATICS LEARNING; MATHEMATICS TEACHING; POST SECONDARY EDUCATION; SECONDARY EDUCATION; SYMBOLIC REASONING;

COMPUTER AIDED INSTRUCTION;

EID: 0037005010     PISSN: 13823892     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022108003988     Document Type: Article

References (22)

1. Artigue, M. (1997). Le logiciel DERIVE comme révélateur de phénomènes didactiques liés à l'utilisation d'environments informatiques pour l'apprentissage. Educational Studies in Mathematics 33(2): 133-169.
2. Artigue, M. (1999). The teaching and learning of mathematics at the university level: Crucial questions for contemporary research in education. Notices of the American Mathematical Society 46(11): 1377-1385.
3. Artigue, M. (2001). Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. In P. Kent (Ed.), Proceedings of the 2nd Biennial Symposium of the Computer Algebra in Mathematics Education Group: http://Itsn.mathstore.ac.uk/came/events/freudenthal/l-Presentation-Artigue.pdf
4. Artigue, M. (2002) Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. International Journal of Computers for Mathematical Learning 7(3).
5. Bosch, M. and Chevallard, Y. (1999). La sensibilité de l'activité mathématique aux ostensifs. Object d'étude et problématique. Recherches en Didactique des Mathématiques 19 (1): 77-124.
6. Guin, D. and Trouche, L. (1999). The complex process of converting tools into mathematical instruments: The case of calculators. International Journal of Computers for Mathematical Learning 3(3): 195-227.
7. Heid, M.K. (1988). Resequencing skills and concepts in applied calculus using the computer as a tool. Journal for Research in Mathematics Education 19(1): 3-25.
8. Heid, M.K. (2001) Theories that inform the use of CAS in the Teaching and Learning of Mathematics. In P. Kent (Ed.), Proceedings of the 2nd Biennial Symposium of the Computer Algebra in Mathematics Education Group: http://ltsn.mathstore.ac.uk/came/events/freudenthal/3-Presentation-Heid.pdf.
9. Judson, P. (1990). Elementary business calculus with computer algebra. Journal of Mathematical Behavior 9(2): 153-157.
10. Lagrange, J.B. (1999). Complex calculators in the classroom: Theoretical and practical reflections on teaching pre-calculus. International Journal of Computers for Mathematical Learning 4(1): 51-81.
11. Lagrange, J.B. (2000/01). L'intégration des instruments informatiques dans l'enseignement: Une approche par les techniques. Educational Studies in Mathematics 43(1): 1-30.
12. Newman, D., Griffin, P. and Cole, M. (1989). Social mediation goes into cognitive change. in The Construction Zone: Working for Cognitive Change in School. Cambridge: Cambrdige University Press.
13. Palmiter, J. (1991). Effects of computer algebra systems on concept and skill acquisition in calculus. Journal for Research in Mathematics Education 22(2): 151-156.
14. Ruthven K. (1995). Extending MaxBox with a computational algebra system. Mathematics in School 24(4): 16-19.
15. Ruthven, K. (2001). Theorising the dialectic between technique and concept in mathematical activity: Reflections on recent French studies of the educational use of computer algebra systems. In P. Kent (Ed.), Proceedings of the 2nd Biennial Symposium of the Computer Algebra in Mathematics Education Group: http://ltsn.mathstore.ac.uk/came/events/freudenthal/1-Reaction-Ruthven.pdf.
16. Smith J. P., diSessa A.A. Roschelle, J. (1993/94). Misconceptions reconceived: A constructivist analysis of knowledge in transition. Journal of the Learning Sciences 3(2): 115-163.
17. Suchmann, L.A. (1987). Plans and Situated Actions: The Problem of Human-Machine Communication. Cambridge: Cambridge University Press.
18. Tall, D. (1996). Functions and calculus. In A.J. Bishop et al. (Eds.), International Handbook of Mathematics Education. Dordrecht: Kluwer.
19. Thurston, W.P. (1994). On proof and progress in mathematics. Bulletin of the American Mathematical Society 30(2): 161-177.
20. Trouche, L. (2000). La parabole du gaucher et de la casserole à bec verseur: Étude des processus d'apprentissage dans un environment de calculatrices symboliques. Educational Studies in Mathematics 41(3): 239-264.
21. Vergnaud, G. (1997). The nature of mathematical concepts. In T. Nunes and P. Bryant (Eds.), Learning and Teaching Mathematics: An International Perspective. Hove: Psychology Press.
22. Verillon, P. and Rabardel, P. (1995). Cognition and artifacts: A contribution to the study of thought in relation to instrumented activity. European Journal of Psychology of Education 10(1): 77-101.