Charting the microworld territory over time: Design and construction in mathematics education

ZDM - International Journal on Mathematics Education

Volumn 42, Issue 1, 2010, Pages 63-76

  Healy, Lulu ^a   Kynigos, Chronis ^b  

^a Universidade Bandeirante de Sao Paulo   (Brazil)

^b UNIVERSITY OF ATHENS   (Greece)

Author keywords

Body and ego synonicity; Boundary objects; Communal design; Microworlds

Indexed keywords

EID: 84857607955     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/s11858-009-0193-5     Document Type: Article

References (55)

1. Agalianos, A. S. (1997). A cultural studies analysis of logo in education, unpublished doctoral thesis, Institute of Education, Policy Studies and Mathematical Sciences, London.
2. 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), 245-274. doi:10.1023/A:1022103903080.
3. Arzarello, F., & Robutti, O. (2004). Approaching functions through motion experiments (video paper). Educational sudies in mathematics PME special issue (Vol. 57(3). Berlin: Springer.
4. Blikstein, P., & Cavallo, D. (2002). Technology as a Trojan Horse in school environments: The emergence of the learning atmosphere (II). In M. Auer & A. Auer (Eds.), Proceedings of the interactive computer aided learning international workshop (pp. 1-22). Villach: Carinthia Technology Institute.
5. Bottino, R. M., & Kynigos, C. (2009) Mathematics education & digital technologies: Facing the challenge of networking European research teams. International Journal of Computers for Mathematical Learning (in press).
6. Clements, D., & Sarama, J. (1997). Research on logo: A decade of progress. Computers in the Schools, 14(1-2), 9-46. doi:10.1300/J025v14n01_02.
7. diSessa, A. (1997). Open toolsets: New ends and new means in learning mathematics and science with computers. In E. Pehkonen (Ed.), Proceedings of the 21st conference of the international group for the psychology of mathematics education, 1 (Vol. 2, pp. 47-62). Lahti, Finland.
8. diSessa, A. (2000). Changing minds, computers, learning and literacy. Cambridge: MIT Press.
9. Drijvers, P., Kieran, C., & Mariotti, M. A. (in press). Integrating technology into mathematics education: Theoretical perspectives. In C. Hoyles & J. B. Lagrange (Eds.), Digital technologies and mathematics education: Rethinking the terrain. Berlin: Springer.
10. Drijvers, P., & Trouche, L. (2008). From artifacts to instruments: A theoretical framework behind the orchestra metaphor. In K. Heid & G. Blume (Eds.), Research on technology and the teaching and learning of mathematics (Vol. 2, pp. 363-392). Charlotte: Information Age.
11. Edwards, L. D. (1995). Microworlds as representations. In A. diSessa, C. Hoyles, & R. Noss (Eds.), Computers and exploratory learning (pp. 127-154). Berlin: Springer.
12. Fuglestad, A. B., Healy, L., Kynigos, C., & Monaghan, J. (in press). Working with teachers: Context and culture. In C. Hoyles & J. B. Lagrange (Eds.), Digital technologies and mathematics education: Rethinking the terrain. Berlin: Springer.
13. Guin, D., Ruthven, K., & Trouche, L. (2004). The didactical challenge of symbolic calculators: turning a computational device into a mathematical instrument. New York: Springer.
14. Healy, L. (2006a). Constructing simulations to express developing statistical knowledge. InA. Ross, &B. Chance (Eds) Proceedings of the 7th international conference for the teaching of statistics (ICOTS7), Salvador, Brazil. http://www.stat.auckland.ac.nz/*iase/publications/17/7G1_HEAL.pdf. Accessed 24 Oct 2008.
15. Healy, L. (2006b). A developing agenda for research into digital technologies and mathematics education: A view from Brazil. In L. H. Son, N. Sinclair, J. B. Lagrange, & C. Hoyles (Eds.), Proceedings of the ICMI 17 study conference: Background papers for the ICMI-17 study (pp. 213-220). Hanoi University of Technology, Hanoi, Vietnam.
16. Healy, L. (2008). Topic Study Group 15: Technology and mathematics education. In M. Niss (Ed.), Proceedings of the 10th international congress on mathematics education (ICME-10) (pp. 355-358). Roskilde University, Denmark.
17. Healy, L., & Fernandes, S. (2008). The role of gestures in the mathematical practices of blind learners. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojana, & A. Sepulveda (Eds.), Proceedings of the 32nd conference of the international group for the psychology of mathematics education (Vol. 3, pp. 137-144). Morelia, Mexico.
18. Healy, L., Jahn, A-P., Frante, J.B. (submitted). Digital Technologies and the challenge of constructing an inclusive school mathematics. ZDM-The International Journal on Mathematics Education.
19. Healy, L., & Sinclair, N. (2007). If this is our mathematics, what are our stories? International Journal of Computers for Mathematical Learning, 12(1), 3-21.
20. Hoyles, C. (1993). Microworlds/Schoolworlds: The transformation of an innovation. In C. Keitel, & K. Ruthven (Eds.), Learning from computers: Mathematics education and technology NATO ASI, series F: Computer and systems sciences (Vol. 121, pp. 1-17). Heidelburg: Springer.
21. Hoyles, C. (1995). Exploratory software, exploratory cultures? In A. A. diSessa, C. Hoyles, R. Noss, & L. D. Edwards (Eds.), Computers and exploratory learning (pp. 199-220). Berlin: Springer.
22. Hoyles, C., Noss, R., & Adamson, R. (2002). Rethinking the microworld idea. Journal of Educational Computing Research, Special issue on: Microworlds in mathematics education, 27(1-2), 29-53.
23. Hoyles, C., Noss, R., & Kent, P. (2004). On the integration of digital technologies into mathematics classrooms. International Journal of Computers for Mathematical Learning, 9(3), 309-326.
24. Kafai, Y., & Resnick, M. (Eds.). (1996). Constructionism in practice. Mahwah: Lawrence Erlbaum Associates Publishers.
25. Kaput, J. (2004) Technology becoming infrastructural in mathematics education. Paper presented in Topic Study Group 15: Technology and Mathematics Education. 10th International Congress on Mathematics Education, Denmark.
26. Kynigos, C. (2002). Generating cultures for mathematical microworld development in a multi-organisational context. Journal of Educational Computing Research, 27(1-2), 183-209.
27. Kynigos, C. (2004). Black and white box approach to user empowerment with component computing. Interactive Learning Environments, 12(1-2), 27-71.
28. Kynigos, C. (2007a). Half-Baked logo microworlds as boundary objects in integrated design. Informatics in Education, 2007, 6(2), 1-24.
29. Kynigos, C. (2007b). Half-baked microworlds in use in challenging teacher educators' knowing. International Journal of Computers for Mathematical Learning, 12(2), 87-111.
30. Kynigos, C., Philippou, G., Potari, D., Sakonidis, C. (in press) Research in mathematics education. In Greece and Cyprus, Proceedings of the 33rd conference of the international group for the psychology of mathematics education. Thessaloniki, Greece.
31. Laborde, C., Kynigos, C., Hollebrands, K., & Strasser, R. (2006). Teaching and learning geometry with technology. In A. Gutiérrez & P. Boero (Eds.), Handbook of research on the psychology of mathematics education: Past, present and future (pp. 275-304). Rotterdam: Sense.
32. Lagrange, J. B. (2000/2001). L'intégration d'instruments informatiques dans l'enseignement: Une approche par les techniques. Educational Studies in Mathematics, 43(1), 1-30.
33. Lakoff, G., & Núñez, R. (2000). Where mathematics comes from. New York: Basic Books.
34. Mariotti, M. A. (2001). Introduction to proof: The mediation of a dynamic software environment. Educational Studies in Mathematics, 44, 25-53.
35. Moreno, L. A., & Sriraman, B. (2005). Structural stability and dynamic geometry: Some ideas on situated proofs. ZDM-The International Journal on Mathematical Education, 37(3), 130-139.
36. Nemirovsky, R., & Borba, M. (2004). Bodily activity and imagination in mathematics. Educational Studies in Mathematics, 57(3), 303-321.
37. Noss, R. (1991). The social shaping of computing in mathematics education. In D. Pimm & E. Love (Eds.), The teaching and learning of school mathematics (pp. 205-219). London: Hodder and Stoughton.
38. Noss, R., & Hoyles, C. (1996). Windows on mathematical meaning: Learning cultures and computers. Dordrecht: Kluwer.
39. Nunes, T. (2004). Teaching mathematics to deaf children. Whurr Publishers, London.
40. Papert, S. (1980). Mindstorms: Children, computers and powerful ideas. London: Harvester Press.
41. Papert, S. (1991). Situating constructionism. In I. Harel, & S. Papert (Eds.), Constructionism (pp. 1-11). Norwood, NJ: Ablex Publishing Corporation.
42. Papert, S. (2002). The Turtle's long slow trip: Macro-educological perspectives on microworlds. Journal of Educational Computing Research, 27(1), 7-28.
43. Papert, S. (2006). From Math Wars to the New New Math. Plenary Lecture at the 17th ICMI Study Conference, Digital technologies and mathematics teaching and learning: Rethinking the terrain. Hanoi, Vietnam.
44. Penner, D. (2001). Cognition, computers and synthetic science: Building knowledge and meaning through modelling. In W. Secade (Ed.), Review of research in education (pp. 17-30), Washington: American Educational Research Association, Frontiers/Berlin: Springer.
45. Radford, L., Bardini, C., Sabena, C., Diallo, P., Simbagoye, A (2005). On embodiment, artifacts, and signs: a semiotic-cultural perspective on mathematical thinking. In H. L. Chick, & J. L. Vincent (Eds.), Proceedings of the 29th conference of the Iinternational group for the psychology of mathematics education (Vol. 4, pp. 113-120). University of Melbourne, Australia.
46. Sarama, J., & Clements, D. (2002). Design of microworlds in mathematics and science education. Journal of Educational Computing Research, 27(1), 1-3.
47. Sinclair, N. (2001). The aesthetic is relevant. For the Learning of Mathematics, 21(1), 25-32.
48. Sinclair, N., Healy, L., & Sales, C. O. R. (in press). Time for telling stories: Narrative thinking with dynamic geometry. ZDM-The International Journal on Mathematics Education, 41(4).
49. Star, S. L., & Griesemer, J. R. (1989). Institutional ecology, 'translations' and boundary objects: Amateurs and professionals in Berkeley's museum of vertebrate zoology, 1907-1939. Social Studies of Science, 19, 387-420.
50. Thompson, P. W. (1987). Mathematical microworlds and intelligent computer-assisted instruction. In G. Kearsley (Ed.), Artificial intelligence and education (pp. 83-109). New York: Addison-Wesley.
51. Verillon, P., & Rabardel, P. (1995). Cognition and artifacts: A contribution to the study of thought in relation to instrument activity. European Journal of Psychology in Education, 9(3), 77-101.
52. Vygotsky, L. S. (1978). Mind in society. Cambridge: Harvard University Press.
53. Vygotsky, L. S. (1981). The instrumental method in psychology. In J. V. Wertsch (Ed.), The concept of activity in Soviet psychology (pp. 134-143). Armonk: M.E. Sharpe.
54. Wenger, E. (1998). Communities of practice: Learning, meaning, and identity. New York/Cambridge: Cambridge University Press.
55. Wilensky, U. (2006). Agent-based restructurations for modeling change. Contribution to the Plenary Panel on Connectivity at the ICMI Study Conference, Digital technologies and mathematics teaching and learning: Rethinking the terrain. Hanoi, Vietnam.