History and Concepts of Arithmetic

This document, titled "Arithmetic" by Paul Lockhart, explores the fundamental concepts of arithmetic through a historical and conceptual lens. It delves into various number…

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9 chapters · 107 exercises

The Need for Counting and Comparison3 exercises

Representation of Numbers: From Objects to Symbols4 exercises

Grouping and Abbreviation in Number Systems5 exercises

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History and Concepts of Arithmetic

Course Chapters

Counting and Representation of Numbers

Early Number Systems: Tribal Languages and Egyptian Arithmetic

Roman Numerals and the Tabula Abacus

Chinese and Japanese Number Systems and Abacuses

The Hindu-Arabic Number System and Place Value

Multiplication and Division in the Hindu-Arabic System

Fractions: Representing Parts of a Whole

Negative Numbers: Expanding the Number System

The Art of Counting: Combinatorics and Elegant Solutions

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