Synthesizing the legacy of Varga and Dienes

Benedek, András and Tuska, Ágnes (2020) Synthesizing the legacy of Varga and Dienes. In: Komplexer Mathematikunterricht. WTM Verlag für wissenschaftliche Texte und Medien, Münster, pp. 79-90. ISBN 9783959871631

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Abstract

Tamás Varga worked closely with Zoltán P. Dienes to provide learners with internally related experiences of creating and discovering ab-stract concepts, a procedure that Dienes described as “internalized action”. In instructing the way Dienes and Varga have promoted, “multiple embod-iment” and the cognitive process of the learner in unaccustomed learning situations may be different for teachers and their pupils. Addressing this difference, we outline a lesson for pre-service teachers on comparing divis-ibility rules in various bases with the use of Dienes’s Multibase Arithmetic Blocks as an illustration of how to interface multi-level experiences. In or-der to answer the didactic problem of how embodied tools augment the learning process by structuring and organizing the learners’ experiences at different levels, we point to the principles that make the synthesis of the two innovators’ methods possible.

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