Didactical complexity of computational environments for the learning of mathematics

International Journal of Computers for Mathematical Learning

Volumn 4, Issue 1, 1999, Pages 1-26

  Sutherland, Rosamund ^b   Balacheff, Nicolas ^a  

^a CNRS   (France)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTATIONAL COMPLEXITY; ENGINEERING EDUCATION; HUMAN COMPUTER INTERACTION; PROBLEM SOLVING; TEACHING;

DIDACTICAL COMPLEXITY;

COMPUTER AIDED INSTRUCTION;

EID: 0032598043     PISSN: 13823892     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009882419704     Document Type: Article

References (35)

1. Balacheff, N. and Soury-Lavergne, Sophie (1996). Explication et préceptorat, à propos d'une étude de cas dans TéléCabri. In M. Joab M. (Ed.), Explication' 96 (pp. 343-356). Sophia Antipolis: INRIA.
2. Balacheff, N. and Sutherland, R. (1994). Epistemological domain of validity of microworlds: The case of Logo and Cabri-géomètre. In R. Lewis and P. Mendelsohn (Eds), Lessons from Learning (pp. 137-150). IFIP Conference TC3WG3.3, North Holland.
3. Booth, L. (1984). Algebra: Children's Strategies and Errors. Windsor: NFER-Nelson.
4. Brousseau, G. (1997). Theory of Didactical Situations in Mathematics. Dordrecht, The Netherlands: Kluwer Academic Publishers.
5. Bruner, J. (1983). Child's Talk: Learning to Use Language. Oxford: Oxford University Press.
6. Capponi, B. and Balacheff, N. (1989). Tableur et calcul algébrique. Educational Studies in Mathematics 20: 179-210.
7. Chevallard, Y. (1984). Le passage de l'arithmetique a l'algèbre dans l'enseignment des mathématiques au Collège. Petit Y: 51-95 (IREM de Grenoble).
8. Cobb, P. (1995). Cultural tools and mathematical learning: A case study. Journal for Research in Mathematics Education 26(4): 362-385.
9. Cobb, P., Yackel, E. and Wood, T. (1992). Interaction and learning in mathematics classroom situations. Educational Studies in Mathematics 23(99): 100-122.
10. Cobb, P. (1997). Learning from distributed theories of intelligence. In E. Pehkonen (Ed.), Proceedings of the 21st Conference of the International Group for the Psychology of Mathematics Education, Vol. 2 (pp. 169-176). Lahti, Finland: University of Helsinki.
11. Cockcroft, W. H. (1982). Mathematics Counts. Report on the Committee of Inquiry in Teaching of Mathematics London: HMSO.
12. Confrey, J. (1995). A theory of intellectual development. For the Learning of Mathematics 15(1): 38-48.
13. Dettori, G. and Lemut, E. (1998). From arithmetic to algebraic thinking using spreadsheets. In R. Sutherland, T. Rojano, A. Bell and R. Lins (Eds), Algebraic Processes and Structure. Dordrecht, The Netherlands: Kluwer Academic Publishers.
14. Dorfler, W. (1993). Computer use and views of the mind. In C. Keitel and K. Ruthven (Eds), Learning from Computers: Mathematics Education and Technology, NATO ASI 121 (pp. 2159-186). Berlin: Springer Verlag.
15. Edwards, D. and Mercer, N. (1987). Common Knowledge: The Development of Understanding in the Classroom. Methuen, U.K.
16. Feurzeig, W., Papert, S., Bloom, M., Grant, R. and Solomon, C. (1969). Programming-languages as a conceptual framework for teaching mathematics. Final Report of the First Fifteen Months of the Logo Project. Cambridge, MA: Bolt, Beranelk and Newman.
17. Filloy, E. and Rojano, T. (1989). Solving equations: The transition from arithmetic to algebra. For the learning of Mathematics, 9.2. Canada.
18. Hoyles, C. and Sutherland, R. (1989). Logo Mathematics in the Classroom. London: Routledge.
19. Kilpatrick, J. and Davis, R. B. (1993). Computers and curriculum change in mathematics. In C. Keitel and K. Ruthven (Eds), Learning from Computers: Mathematics Education and Technology, NATO ASI 121 (pp. 203-221). Berlin: Springer Verlag.
20. Lesgold, A. (1993). Information technology and the future of education. In S. Lahoe and S. Deny (Eds), Computers as Cognitive Tools. Hillsdale: LEA.
21. Lins, R. (1998). The production of meaning for algebra: A perspective based on a theoretical model of semantic fields. In R. Sutherland, T. Rojano, A. Bell and R. Lins (Eds), Algebraic Processes and Structure. Dordrecht, The Netherlands: Kluwer Academic Publishers.
22. Nemirovsky R. (1997). A functional approach to algebra: Two issues that emerge. In N. Bednarz, C. Kieran and L. Lee (Eds), Approaches to Algebra: Perspectives for Research and Teaching. Dordrecht, The Netherlands: Kluwer Academic Publishers.
23. Noss, R. and Hoyles, C. (1996). Windows on Mathematical Meanings: Learning Culture and Computers. Dordrecht, The Netherlands: Kluwer Academic Publishers.
24. Ohlsson, S. (1991). System hacking meets learning theory: reflection on the goals and standards of research in artificial intelligence and education. Journal of Artificial Intelligence in Education 2(3): 5-18.
25. Rojano, T. and Sutherland, R. (1993). Towards an algebraic approach: The role of spreadsheets. Proceedings of the 17th International Conference for the Psychology of Mathematics Education (pp. 189-196). Japan.
26. SMP 11-16 (1984). Algebra. Cambridge: Cambridge University Press.
27. Sutherland, R. (1993). Connecting theory and practice: Results from the teaching of Logo. Educational Studies in Mathematics 24: 1-19.
28. Sutherland, R., Howell, D. and Wolf, A. (1996). A Spreadsheet Approach to Maths for GNVQ Engineering. London: Hodder Headline.
29. Sutherland, R. and Rojano, T. (1993). A spreadsheet approach to solving algebra problems. Journal of Mathematical Behaviour 12(4): 351-383.
30. The Royal Society/JMC Report (1997). Teaching and Learning Algebra Pre-19. London: The Royal Society.
31. Von Glaserfeld, E. (Ed) (1991). Radical Constructivism in Mathematics Education. Dordrecht, The Netherlands: Kluwer Academic Publishers.
32. Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes. Cambridge, MA: Harvard University Press.
33. Walkerdine, V. (1988). The Mastery of Reason: Cognition Development and the Production of Rationality. London: Routledge.
34. Wertsch, J. and Stone, A. (1985). The Concept of internalisation in Vygotsky's account of the genesis of higher mental functions. In Wertsch (Ed.), Culture, Communication and Cognition, Vygotskian Perspectives. Cambridge: CUP.
35. Wood, D., Bruner, J. S. and Ross, G. (1976). The role of tutoring in problem solving. The Journal of Child Psychology and Psychiatry 17: 89-100.