Some implications of the results of a case study for the design of pre-constructed, dynamic geometry sketches and accompanying materials

Educational Studies in Mathematics

Volumn 52, Issue 3, 2003, Pages 289-317

  Sinclair, Margaret P ^a  

^a YORK UNIVERSITY   (Canada)

Author keywords

Dynamic geometry; Learning materials; Mathematics education; Pre constructed sketch; Secondary school; Task design

Indexed keywords

EID: 18944370679     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1023/A:1024305603330     Document Type: Article

References (31)

1. Balacheff, N.: 1991, 'Artificial intelligence and real teaching', in C. Keitel and K. Ruthven (eds.), Learning from Computers: Mathematics Education and Technology, Springer-Verlag, New York, pp. 131-158.
2. Balacheff, N. and Kaput, J.: 1996, 'Computer-based learning environments in mathematics', in A.J. Bishop et al. (eds.), International Handbook of Mathematics Education, Kluwer Academic Publishers, Dordrecht, pp. 469-501.
3. Brousseau, G.: 1997, in N. Balacheff, M. Cooper, R. Sutherland and V. Warfield (eds. & Trans), Theory of Didactical Situations in Mathematics: Didactique des Mathematiques, 1970-1990, Kluwer Academic Publishers, Dordrecht.
4. Chazan, D.: 1990, 'Implementing the standards: Students' microcomputer-aided exploration in geometry', Mathematics Teacher 83(8), 628-635.
5. Curriculum Guideline: Mathematics Intermediate and Senior Divisions: 1985, Toronto: Ontario Ministry of Education.
6. Dreyfus, T.: 1991, 'Didactic design of computer-based learning environments', in C. Keitel and K. Ruthven (eds.), Learning from Computers: Mathematics Education and Technology, Springer-Verlag, New York, pp. 101-130.
7. Duval, R.: 1998, 'Geometry from a cognitive point of view', in C. Mammana and V. Villani (eds.) Perspectives on the Teaching of Geometry for the 21st Century: An ICMI Study, Kluwer Academic Publishers, Dordrecht, pp. 37-51.
8. Duval, R.: 1983, 'L'obstacle du dedoublement des objects mathématiques', Educational Studies in Mathematics 14(4), 385-414.
9. Ebos, F., Tuck, R. and Schofield, W.: 1986, Mathematics: Principles & Process, book 2, Nelson Canada, Scarborough, Ontario.
10. Fischbein, E.: 1987, Intuition in Science and Mathematics: An Educational Approach, Kluwer Academic Publishers, Dordrecht.
11. Goldenberg, E.P., Cuoco, A.A. and Mark, J.: 1998, 'A role for geometry in general education', in R. Lehrer and D. Chazan (eds.), Designing Learning Environments for Developing Understanding of Geometry and Space, Lawrence Erlbaum Associates, Mahwah, NJ, pp. 3-44.
12. Hadas, N. and Hershkowitz, R.: 1999, 'The role of uncertainty in constructing and proving in computerized environments', in O. Zaslavsky (ed.), Proceedings of the 23rd PME Conference, Haifa, Israel, Vol. 3, pp. 57-64.
13. Keller, B., Wasburn-Moses, J. and Hart, E.: 2002, 'Improving students' spatial visualization skills and teachers' pedagogical content knowledge by using on-line curriculum-embedded applets', http://illuminations.nctm.org/ downloads/IsoPaperV4.pdf.
14. Laborde, C.: 2001, 'Integration of technology in the design of geometry tasks with Cabri-Geometry', International Journal of Computers for Mathematical Learning 6, 283-317.
15. Page, M.S.: 2002, 'Technology-enriched classrooms: Effects on students of low socioeconomic status', Journal of research on technology in education 34(4), 389-409.
16. Pease, T.M.: 1989, 'Papert describes his philosophy of education', Spectrum, Summer, 1989.
17. Presmeg, N.C.: 1986, 'Visualisation in high school', For the Learning of Mathematics 6(3), 42-46.
18. Presmeg, N.C.: 1999, 'On visualization and generalization in mathematics', in Fernando Hitt and Manuel Santos (eds.), Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (21st), Cuernavaca, Morelos, Mexico, October 23-26, 1999. VI, pp. 23-27.
19. Ponte, J.P.: 2000, 'Investigating mathematics and learning to teach mathematics', in T.J. Cooney and F.L. Lin (eds.), Making Sense of Mathematics Teacher Education, Kluwer, Dordrecht.
20. Repman, J.: 1993, 'Collaborative, computer-based learning: Cognitive and effective outcomes', Journal of Educational Computing Research 9, 149-163.
21. Rensink, R.A.: 2000, 'The dynamic representation of scenes', Visual Cognition 7, 17-42.
22. Sinclair, M.P.: 2001, Supporting Student Efforts to Learn With Understanding: An Investigation of the Use of JavaSketchpad Sketches in the Secondary School Geometry Classroom, Unpublished doctoral dissertation, University of Toronto, Graduate Department of Education.
23. Sutherland, R. and Balacheff, N.: 1999, 'Didactical complexity of computational environments for the learning of mathematics', International Journal of Computers for Mathematical Learning 4, 1-26.
24. Towers, J.: 1999, In what Ways do Teachers' Interventions Interact with and Occasion the Growth of Students' Mathematical Understanding, Unpublished doctoral dissertation, University of British Columbia.
25. Tyler, D.K. and Vasu, E.S.: 1995, 'Locus of control, self-esteem, achievement motivation, and problem-solving ability: Logowriter and simulations in the fifth-grade classroom", Journal of Research on Computing in Education 28, 98-120.
26. Wheatley, G.H.: 1998, 'Imagery and mathematics learning', in M. Sharma, J. Schmittau and V. Schell (eds.), Focus on Learning Problems in Mathematics, 20 (2 & 3), pp. 65-77.
27. Whiteley, W.: 1999, 'The decline and rise of geometry in 20th century North America", in John Grant McLoughlin (ed.), Proceedings, 1999 Annual Meeting, Canadian Mathematics Education Study Group, Memorial University of Newfoundland, St. John's, Newfoundland, pp. 7-30.
28. Cabri Géomètre: 1992, I. Baulac, F. Bellemain and J. Laborde, designers. [Software], Brooks-Cole Publishing Co., Pacific Grove, CA.
29. Cinderella: 1999, J. Richter-Gebert and U.H. Kortenkamp, designers. [Software], Springer-Verlag, Berlin, Hiedelberg.
30. The Geometer's Sketchpad: 1991, N. Jackiw, designer. [Software], Key Curriculum Press, Berkeley, CA.
31. JavaSketchpad: 1998, N. Jackiw, designer. [Software, under development], Key Curriculum Press, Berkeley, CA.