Analyzing tools: Perspectives on the role of designed artifacts in mathematics learning

Journal of the Learning Sciences

Volumn 11, Issue 2-3, 2002, Pages 153-161

  Sfard, Anna ^a,c   McClain, Kay ^b  

^a UNIVERSITY OF HAIFA   (Israel)

^b VANDERBILT UNIVERSITY   (United States)

^c NONE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036079825     PISSN: 10508406     EISSN: None     Source Type: Journal    
DOI: 10.1207/s15327809jls11,2-3n_1     Document Type: Editorial

References (27)

1. Ball, D. L. (1993). Halves, pieces, and twoths: Constructing and using representational contexts in teaching fractions. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research. Studies in mathematical thinking and learning (pp. 157-195). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
2. Bereiter, C. (1985). Towards the solution of the learning paradox. Review of Educational Research, 55, 201-226.
3. Calvino, I. (1983). Mr. Palomar. San Diego, CA: Harvest/HBJ.
4. Cobb, P. (1995). Continuing the conversation: A response to Smith. Educational Researcher, 24(7), 25-27.
5. Cobb, P. (1999). Individual and collective mathematical development: The case of statistical data analysis. Mathematical Thinking and Learning, 1, 5-44.
6. Cobb, P., Yackel, E., & McClain, K. (Eds.). (2000). Symbolizing and communicating: Perspectives on mathematical discourse, tools, and instructional design. Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
7. Cole, M. (1996). Cultural psychology: A once and future discipline. Cambridge, MA: Belknap Press of Harvard University Press.
8. Gadamer, H.-G. (1975). Truth and method. New York: Seabury Press.
9. Goodwin, C. (2000). Introduction: Vision and inscription in practice. Mind, Culture, and Activity, 7, 1-3.
10. Greeno, J. G. (1997). On claims that answer the wrong question. Educational Researcher, 26(1), 5-17.
11. Janvier, C. (Ed.). (1987). Problems of representation in the teaching and learning of mathematics. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
12. Kaput, J. (1991). Notations and representations as mediators of constructive processes. In E. von Glasersfeld (Ed.), Constructivism in mathematics education (pp. 53-74). Dordrecht, The Netherlands: Kluwer.
13. Lampert, M. (1985). Teaching multiplication. Journal of Mathematical Behavior, 5(3), 241-280.
14. Latour, B. (1987). Science in action. Cambridge, MA: Harvard University Press.
15. Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. Cambridge, MA: Cambridge University Press.
16. Luria, A. R. (1928). The problem of the cultural development of child. Journal of Genetic Psychology, 35, 493-506.
17. Lehrer, R., Schauble, L., & Petrosino, A. J. (2001). Reconsidering the role of experiment in science education. In K. Crowley, C. D. Schunn, & T. Okada (Eds.), Designing for science; Implications from everyday, classroom, and professional settings (pp. 251-278). Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
18. McClain, K., & Cobb, P. (2001). Supporting students' ability to reason about data. Educational Studies in Mathematics, 45(1-3), 103-129.
19. McClain, K., Cobb, P., & Gravemeijer, K. (2000). Supporting students' ways of reasoning about data. In M. Burke & F. Curcio (Eds.), Learning mathematics for a new century (pp. 174-187). Reston, VA: National Council of Teachers of Mathematics.
20. Meira, L. (1998). Making sense of instructional devices: The emergence of transparency in mathematical activity. Journal for Research in Mathematics Education, 29(2), 121-142.
21. Roth, W.-M., & McGinn, M. K. (1998). Inscriptions: Toward a theory of representing as social practice. Review of Educational Research, 68, 35-60.
22. Scribner, S., & Cole, M. (1981). The psychology of literacy. Cambridge, MA: Harvard University Press.
23. Sfard, A. (1997). The many faces of mathematics: Do mathematicians and researchers in mathematics education speak about the same thing? In A. Sierpinska & J. Kilpatrick (Eds.), Mathematics education as a research domain: A search for identity (Vol. 2, pp. 491-512). Dordrecht, The Netherlands: Kluwer Academic.
24. Smith, E. (1995). Where is the mind? "Knowing" and "knowledge" in Cobb's constructivist and sociocultural perspectives. Educational Researcher, 24(6), 23-24.
25. Vygotsky, L. S. (1978). Mind in society. Cambridge, MA: Harvard University Press.
26. Vygotsky, L. S. (1987). Thinking and speech. In R. W. Rieber & A. C. Carton (Eds.), The collected works of L. S. Vygotsky (Vol. 1, pp. 39-285). New York: Plenum.
27. Wittgenstein, L. (1953). Philosophical investigations. Oxford, England: Blackwell.