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Educational Studies in Mathematics

, Volume 70, Issue 2, pp 211–215 | Cite as

Building intellectual infrastructure to expose and understand ever-increasing complexity

  • James Kaput
Article

Abstract

This paper comments on the expanded repertoire of techniques, conceptual frameworks, and perspectives developed to study the phenomena of gesture, bodily action and other modalities as related to thinking, learning, acting, and speaking. Certain broad issues are considered, including (1) the distinction between “contextual” generalization of instances across context (of virtually any kind—numeric, situational, etc.) and the generalization of structured actions on symbols, (2) fundamental distinctions between the use of semiotic means to describe specific situations versus semiosis serving the process of generalization, and (3) the challenges of building generalizable research findings at such an early stage in infrastructure building.

Keywords

Embodiment Generalization Semiotics Gesture Mathematics Algebra Evolutionary psychology 

References

  1. Donald, M. (1991). Origins of the modern mind. Cambridge: Harvard University Press.Google Scholar
  2. Donald, M. (2001). A mind so rare: The evolution of human consciousness. New York: Norton.Google Scholar
  3. Kaput, J., Blanton, M., & Moreno, L. (2008). Algebra from a symbolization point of view. In J. Kaput, D. Carraher, & M. Blanton (Eds.), Algebra in the early grades (pp. 19–55). Mahwah: Erlbaum.Google Scholar
  4. Kaput, J., & Shaffer, D. (2002). On the development of human representational competence from an evolutionary point of view: From episodic to virtual culture. In K. Gravemeijer, R. Lehrer, B. van Oers, & L. Verschaffel (Eds.), Symbolizing, modeling and tool use in mathematics education pp. 277–293. London: Kluwer.Google Scholar
  5. Shaffer, D., & Kaput, J. (1999). Mathematics and virtual culture: An evolutionary perspective on technology and mathematics education. Educational Studies in Mathematics, 37, 97–119. doi: 10.1023/A:1003590914788.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.University of Massachusetts-DartmouthFairhavenUSA

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