Abstract
This paper comments on the global ideas of Moreno-Armella and Sriraman (2005) pertaining to the development of representational systems. The discussion focuses on the co-evolution of symbols and their referents, and the shared interpretation of mathematical symbols in a community of practice. Some future directions are suggested.
This material is based upon work supported by the U.S. National Science Foundation (NSF) under grant no. ESI-0333753. Any opinions, findings and conclusions or recommendations are those of the author and do not necessarily reflect the views of the NSF.
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References
Davis, R. B. (1984). Learning Mathematics: The Cognitive Science Approach to Mathematics Education. Norwood, NJ: Ablex.
DeBellis, V. A., & Goldin, G. A. (2006). Affect and meta-affect in mathematical problem solving: A representational perspective. Educational Studies in Mathematics, 63, 131ā147.
Goldin, G. A. (1998). Representational systems, learning, and problem solving in mathematics. Journal of Mathematical Behavior, 17(2), 137ā165.
Goldin, G. A., & Kaput, J. J. (1996). A joint perspective on the idea of representation in learning and doing mathematics. In L. Steffe, P. Nesher, P. Cobb, G. A. Goldin, & B. Greer (Eds.), Theories of Mathematical Learning (pp. 397ā430). Hillsdale, NJ: Erlbaum.
Leder, G., Pehkonen, E., & Tƶrner, G. (Eds.) (2002). Beliefs: A Hidden Variable in Mathematics Education? Dordrecht, The Netherlands: Kluwer.
Lesh, R., & Doerr, H. (Eds.) (2003). Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching. Mahwah, NJ: Erlbaum.
Moreno, L. A., & Sriraman, B. (2005). The articulation of symbol and mediation in mathematics education. Zentralblatt fĆ¼r Didaktik der Mathematik (International Reviews on Mathematical Education), 37(6), 476ā486, revised version included in the present volume.
Peirce, C. S. (1998). The Essential Peirce: Selected Philosophical Writings, Vol.Ā 2 (1893ā1913). The Peirce Edition Project. Bloomington, Indiana: Indiana University Press.
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Goldin, G.A. (2010). Commentary on Symbols and Mediation inĀ Mathematics Education. In: Sriraman, B., English, L. (eds) Theories of Mathematics Education. Advances in Mathematics Education. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00742-2_23
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DOI: https://doi.org/10.1007/978-3-642-00742-2_23
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