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The Origins of Mathematical Knowledge in Childhood
Hardcover
Series: Studies in Mathematical Thinking and Learning
General EducationGeneral PsychologyTeaching Instruction
ISBN13: 9780805857580
Publisher: Routledge
Published: Jun 21 2007
Pages: 212
Weight: 0.91
Height: 0.66 Width: 6.39 Depth: 9.01
Language: English
This book contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. It is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education.
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