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Ejersbo, Lisser Rye; Leron, Uri; Arcavi, Abraham – For the Learning of Mathematics, 2014
The observation that the human mind operates in two distinct thinking modes--intuitive and analytical- have occupied psychological and educational researchers for several decades now. Much of this research has focused on the explanatory power of intuitive thinking as source of errors and misconceptions, but in this article, in contrast, we view…
Descriptors: Intuition, Cognitive Processes, Mathematics Instruction, Workshops
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Arcavi, Abraham – For the Learning of Mathematics, 1994
Attempts to describe a notion parallel to number sense, called symbol sense, incorporating the following components: making friends with symbols, reading through symbols, engineering symbolic expressions, equivalent expressions for non-equivalent meanings, choice of symbols, flexible manipulation skills, symbols in retrospect, and symbols in…
Descriptors: Algebra, Algorithms, Mathematical Concepts, Mathematics Education
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Arcavi, Abraham; Bruckheimer, Maxim – For the Learning of Mathematics, 1989
A description of De Morgan's life and work is followed with quotations of his thoughts and insights on the teaching and learning of mathematics. The purpose is to illustrate the sharpness of his ideas, his creative insights, and his wit for the enjoyment of the reader. (DC)
Descriptors: Algebra, Arithmetic, Concept Formation, Geometric Concepts
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Arcavi, Abraham; And Others – For the Learning of Mathematics, 1987
Described is the development and implementation of a course on the history of irrational numbers for inservice mathematics teachers in Israel. Some of the materials included in the course are discussed. (RH)
Descriptors: College Mathematics, Course Objectives, Higher Education, Mathematics