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The multiplication table model by Davýdov

Abstract:

Davýdov, PhD in Psychology and Vygotsky's follower, coordinated a proposal for Mathematics teaching in Russia, based on Historical-Cultural Theory assumptions. The proposal was published by means of textbooks and teacher's guides. This material constitutes the data source for the present research. The aim is investigate the model of the essential relationships of multiplication within Davýdov's proposal. Therefore, we selected three teaching tasks from the teaching material based on Davýdov assumptions. Its analysis enabled us to reveal the elements that constitute the essence of the multiplication table and how they are connected and form a universal model represented as an object, graphically and in text.

Keywords:
Historical-cultural theory; Davýdov; Teaching proposition; Mathematics education; Multiplication table

Programa de Pós-Graduação em Educação para a Ciência, Universidade Estadual Paulista (UNESP), Faculdade de Ciências, campus de Bauru. Av. Engenheiro Luiz Edmundo Carrijo Coube, 14-01, Campus Universitário - Vargem Limpa CEP 17033-360 Bauru - SP/ Brasil , Tel./Fax: (55 14) 3103 6177 - Bauru - SP - Brazil
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