Catherine Sophian

The Origins of Mathematical Knowledge in Childhood (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 212
• Erscheinungstermin: 25. September 2017
• Englisch
• ISBN-13: 9781351541756
• Artikelnr.: 49274325

Autorenporträt

Sophian, Catherine

Inhaltsangabe

Contents: Preface. Cognitive Development and Mathematics Learning.
Children's Counting. Quantitative Comparison Without Numbers. Understanding
Units. Relations Among Quantities in Arithmetic: Additive and
Multiplicative Reasoning. Understanding Fractions. Implications for
Developmental Psychology. Implications for Mathematics Education.