Assessing technology-based approaches for teaching and learning mathematics

International Journal of Mathematical Education in Science and Technology

Volumn 37, Issue 2, 2006, Pages 145-164

  Forster, P A ^a  

^a EDITH COWAN UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33244493306     PISSN: 0020739X     EISSN: 14645211     Source Type: Journal    
DOI: 10.1080/00207390500285826     Document Type: Article

References (56)

1. Doerr, H.M. and Zangor, R., 2000, Creating meaning for and with the graphing calculator. Educational Studies in Mathematics, 41, 143-163.
2. Schwarz, B.B. and Hershkowitz, R., 1999, Prototypes: Brakes or levers in learning the function concept? The role of computer tools. Journal for Research in Mathematics Education, 30, 362-389.
3. Boers, M.A.M. and Jones, P.L., 1994, Students' use of graphics calculators under examination conditions. International Journal of Mathematics Education in Science and Technology, 25, 491-516.
4. Mithcelmore, M. and Cavanagh, M., 2000, Students' difficulties in operating a graphics calculator. Mathematics Education Research Journal, 12, 254-268.
5. Friel, S., 2003, In: N.A. Pateman, B.J. Dougherty and J.T. Zillox (Eds.) Proceedings of the 2003 joint meeting of International and North American Groups for the Psychology of Mathematics Education, Vol. 2 (Honolulu, HI: University of Hawaii), pp. 389-396.
6. Arnold, S., 2004, In: I. Putt, R. Faraghere and M. McLean (Eds.) Mathematics education for the third millennium: Towards 2010, Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia (Sydney: MERGA), pp. 16-28.
7. Artigue, M., 2002, Learning mathematics in a CAS environment: The genesis of a reflection about instrumentalisation and the dialectics between technical and conceptual work. International Journal of Computers for Mathematical Learning, 7, 245-274.
8. 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, 195-227.
9. Lagrange, J.-B., 1999, Complex calculators in the classroom: Theoretical and practical reflections on teaching precalculus. International Journal of Computers for Mathematical Learning, 4, 51-81.
10. Groves, S. and Obregon, D., 2001, The graphic calculator as a thinking tool: Perspectives from the classroom. Proceedings of the annual conference of the Australian Association for Educational Research (AARE). Available online at: http://www.aare.edu.au./01pap/gro01638.htm (accessed 15 November 2004).
11. Meletiou-Mavrotheris, M. and Lee, C., 2002, Teaching students the stochastic nature of statistical concepts in an introductory statistics course. Statistics Education Research Journal, 1, 22-37.
12. Lapp, D.A. and Cyrus, V.F., 2000, Using data collection devices to enhance students' understanding. Mathematics Teacher, 93, 504-510.
13. Ainley, J., 2000, Transparency in graphs and graphing tasks: An iterative design process. Journal of Mathematical Behavior, 19, 365-384.
14. Ben-Zvi, D. and Arcavi, A., 2000, Junior high school students' construction of global views of data and data representations. Educational Studies in Mathematics, 45, 35-65.
15. Ainley, J., Pratt, D. and Nardi, E., 2001, Normalising: Children's activity to construct meanings for trend. Educational Studies in Mathematics, 45, 131-146.
16. Forster, P., 1997, Teaching through technology. Australian Senior Mathematics Journal, 11, 54-61.
17. Bakker, A., 2001, From data via 'bump' to distribution. Statistics Education Research Journal, 1, 35.
18. McClain, K. and Cobb, P., 2001, Supporting students' ability to reason about data. Educational Studies in Mathematics, 45, 103-129.
19. Cobb, P., McClain, K. and Gravemeijer, K., 2003, Learning about statistical variation. Cognition and Instruction, 21, 1-78.
20. Nicholson, J., 1997, In: J. Garfield and G. Burrill (Eds.) Research on the role of technology in teaching and learning statistics: Toward a theory and practice of using interactive graphics in statistics education (Vooburg, The Netherlands: International Statistics Institute), pp. 29-45.
21. Hancock, C., Kaput, J.J. and Goldsmith, L.T., 1992, Authentic inquiry with data: Critical barriers to classroom implementation. Educational Psychologist, 27, 337-364.
22. Yerushalmy, M. and Schwartz, J.J., 1999, A procedural approach to explorations in calculus. International Journal of mathematical Education in Science and Technology, 30, 903-914.
23. Schneider, E. and Peschek, W., 2002, Computer algebra systems (CAS) and mathematical communication, 9, 229-242.
24. Forster P.A. and Taylor, P.C., 2003, An investigation of communicative competence in an upper-secondary class where using graphics calculators was routine. Educational Studies in Mathematics, 52, 57-77.
25. 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.
26. Confrey, J. and Doerr, H.M., 1996, In: D. Treagust, R. Duit and B. J. Fraser (Eds.) Improving teaching and learning in science and mathematics (New York, NY: Teachers College Press), pp. 162-174.
27. Nemirovsky, R., Kaput, J.J. and Roschelle, J., 1998, In: A. Oliver and K. Newstead (Eds.) Proceedings of the 22nd conference of the International Group for the Psychology of Mathematics Education, Vol. 3 (Stellenbosch, South Africa: University of Stellenbosch), pp. 287-294.
28. Stroup, W.M., 2002, Understanding qualitative calculus: A structural synthesis of learning research. International Journal of Computers for Mathematical Learning, 7, 167-125.
29. Kawski, M., 1997, In: W.-C. Yang and Abu-Y. Hassan (Eds.) Proceedings of the Second Asian Technology Conference in Mathematics 1997 (Blackburg, VA: ATCM), pp. 100-114.
30. Ben-Zvi, D. and Friedlander, A., 1997, In: J. Garfield and G. Burrill (Eds.) Research on the role of technology in teaching and learning statistics: Toward a theory and practice of using interactive graphics in statistics education (Vooburg, The Netherlands: International Statistics Institute), pp. 45-55.
31. Biehler, R., 1997, In: J. Garfield and G. Burrill (Eds.) Research on the role of technology in teaching and learning statistics: Toward a theory and practice of using interactive graphics in statistics education (Vooburg, The Netherlands: International Statistics Institute), pp. 169-190.
32. Roth, W.-M., Woszczyna, C. and Smith, G., 1996, Affordances and constraints of computers in science education. Journal of Research in Science Teaching, 33, 995-1017.
33. Goos, M., Galbraith, P., Renshaw, P. and Geiger, V., 2000, Reshaping teacher and student roles in technology-enriched classrooms. Mathematics Education Research Journal, 12, 303-320.
34. Bradley, J., 1999, Discernible trends in effective graphics calculator use in examinations. Australian Senior Mathematics Journal, 13, 55-63.
35. Galbraith, P. and Pemberton, M., 2002, In: B. Barton, K.C. Irwin, M. Pfannkuch and M.O.J. Thomas (Eds.) Mathematics education in the South Pacific, Proceedings of the 25th annual conference of the Mathematics Education Research Group of Australasia, Vol. 1 (Auckland: MERGA), pp. 285-292.
36. Forster, P.A., 2004, Efficient use of graphics calculators in high school calculus. International Journal of Technology in Mathematics Education, 11, 13-23.
37. Bloom, L.M., Forster, P.A. and Mueller, U.A., 2001, In: W.-C. Yang, S.- C. Chu, Z. Karian and G. Fitzgerald (Eds.) Proceedings of the 6th Asian Technology Conference in Mathematics 2001 (Blacksburg, VA: ATCM), pp. 301-310.
38. Schwarz, B.B. and Dreyfus, T., 1995, New actions upon old objects: A new ontological perspective on functions. Educational Studies in Mathematics, 29, 259-291.
39. Geiger, V., Galbraith, P., Renshaw, P. and Goos, M., 2003, In: Q. Ye, W. Blum, Q. Jiang and S. Houston (Eds.) Mathematical modelling in education and culture (Chichester: Horwood Publishing), pp. 126-140.
40. Kutzler, B., 2000, The algebraic calculator as a pedagogical tool. International Journal for Computer Algebra in Mathematics Education, 7, 5-24.
41. Heck, A., 2001, Variables in computer algebra, mathematics and science. International Journal of Computer Algebra in Mathematics Education, 8, 195-210.
42. Curriculum Council, 2002, Syllabus manual for year 11 and year 12 accredited courses Vol. 5 (Western Australia Curriculum Council).
43. Young, R., 1992, Critical theory and classroom talk (Multilingual Matters).
44. Matti Associates, 2003, Scatter plot, National Library for Virtual Manipulative for interactive Mathematics. University of Utah. Available online at: http://matti.usu.edu/ nlvm/nav/category_g_4_t_5.html
45. National Council of Teachers, 2000, Principles and standards for school mathematics. [Applet for least squares regression]. Available online at: http://standards.nctm.org/document/eexamples/chap7/7.4/index.htm (accessed 2 August 2004)
46. Arcavi, A., 2003, The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52, 215-241.
47. Roth, W.-M. and Bowen, G.M., 2001, Professionals read graphs. Journal for Research in Mathematics Education, 32, 159-194.
48. Doerr, H., 1999, How can I find a pattern in this random data? The convergence of multiplicative and probabilistic reasoning. Journal of Mathematical Behavior, 18, 431-154.
49. Buffler, A., Allie, S., Lubben, F. and Campbell, B., 2001, The development of first year physics students' ideas about measurement in terms of point and set paradigms. International Journal of Science Education, 23, 1137-1156.
50. Sierpinska, A., 2003, Visualization is in the mind of the beholder. New Zealand Journal of Mathematics, 32, Supplementary issue, 173-194.
51. Behrens, J.T., 1997, In: J. Garfield and G. Burrill (Eds.) Research on the role of technology in teaching and learning statistics: Toward a theory and practice of using interactive graphics in statistics education (Vooburg, The Netherlands: International Statistics Institute), pp. 111-122.
52. Povey, H. and Ransom, M., 2000, Some undergraduate students' perceptions of using technology for mathematics: Tales of resistance. International Journal of Computers for Mathematical Learning, 5, 47-63.
53. Mueller, U.A. and Forster, P.A., 2004, In: W.C. Yang, S.-C. Chu, T. de Alwis and K.-C. Ang (Eds.) Proceedings of the 8th Asian Technology Conference in Mathematics (Blackburg, VA: ATCM).
54. Curriculum Council, 1997, Syllabus manual for year 11 and year 12 accredited courses (Perth, Western Australia: Curriculum Council).
55. Curriculum Council, 1998, Syllabus manual for year 11 and year 12 accredited courses (Perth, Western Australia: Curriculum Council).
56. Curriculum Council, 2003, Tertiary Entrance Examination, Applicable Mathematics. (Perth, Western Australia: Curriculum Council).