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Raveh, Ira; Koichu, Boris; Peled, Irit; Zaslavsky, Orit – Research in Mathematics Education, 2016
In this article we present an integrative framework of knowledge for teaching the standard algorithms of the four basic arithmetic operations. The framework is based on a mathematical analysis of the algorithms, a connectionist perspective on teaching mathematics and an analogy with previous frameworks of knowledge for teaching arithmetic…
Descriptors: Mathematics Instruction, Arithmetic, Knowledge Level, Knowledge Base for Teaching
Shane, Ruth – 1997
This study is an attempt to document the connection between the way children construct mathematics in the second grade and the way student teachers construct their knowledge base. The study examines how student teachers integrate their formal and informal knowledge of mathematics and mathematics pedagogy with the reality of the second grade…
Descriptors: Case Studies, Classroom Environment, Concept Formation, Constructivism (Learning)