Abstract
In this paper we discuss topics that are relevant for designing a theory of mathematics education. More precisely, they are elements of a pre-theory of mathematics education and consist of a set of interdisciplinary ideas which may lead to understand what occurs in the central nervous system—our metaphor for the classroom, and eventually, in larger educational settings. In particular, we highlight the crucial role of representations, the mediation role of artifacts, symbols viewed from an evolutionary perspective, and mathematics as symbolic technology.
This paper is dedicated to Jim Kaput (1942–2005), whose work on representations and technology is an inspiration to us all.
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Moreno-Armella, L., Sriraman, B. (2010). Symbols and Mediation in 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_22
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