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The Psychology of Number and Its Applications to Methods of Teaching Arithmetic (Classic Reprint) - Hardcover

James A. McLellan

 
9780483600997: The Psychology of Number and Its Applications to Methods of Teaching Arithmetic (Classic Reprint)

Synopsis

Mastering number by understanding its mind‑based foundations .

This practical volume shows how learning arithmetic can build real thinking power, not just drill numbers to speed.

This work argues that number is a mental act, not a fixed set of facts. It outlines how to teach quantity by linking measurement, ratio, and the two sides of number—the unity and the multiplicity—so students grasp fractions, operations, and their meanings. Clear guidance helps teachers avoid methods that stifle thinking and instead nurture the natural number instinct through gradual, engaging steps.
  • How to frame arithmetic around the idea of ratio and measure, not just counting.
  • Strategies to connect fractions, times, and quantities for stronger intuition.
  • Ways to keep students interested by aligning teaching with the mind’s natural development.
  • Practical cautions against common methods that hinder understanding and long‑term skill.
Ideal for educators seeking a science‑based approach to arithmetic that strengthens reasoning and real problem solving.

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