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Direct linkKontorovich, Igor' – For the Learning of Mathematics, 2018
How do students cope with and make sense of polysemy in mathematics? Zazkis (1998) tackled these questions in the case of 'divisor' and 'quotient'. When requested to determine the quotient in the division of 12 by 5, some of her pre-service teachers operated in the domain of integers and argued for 2, while others adhered to rational numbers and…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Arithmetic
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
Download full textChick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…
Descriptors: Educational Theories, Elementary School Mathematics, Semiotics, Mathematics Education
