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Levels of Difficulty in Division

Arden K. Ruddell

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Abstract

Division of whole numbers is a relatively complicated computational process. It is complicated because it involves each of the other processes: addition, multiplication, and subtraction, and also includes principles unique to division alone. Thorough understanding of division is dependent upon knowledge and understanding of the interrelationships between the four processes—addition, subtraction, multiplication, and division. Following are the understandings commonly made explicit.

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What this paper is about

Division of whole numbers is a relatively complicated computational process. It is complicated because it involves each of the other processes: addition, multiplication, and subtraction, and also includes principles unique to division alone. Thorough understanding of division is dependent upon knowledge and understanding of the interrelationships between the four processes—addition, subtraction, multiplication, and division. Following are the understandings commonly made explicit.

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Available abstract

Division of whole numbers is a relatively complicated computational process. It is complicated because it involves each of the other processes: addition, multiplication, and subtraction, and also includes principles unique to division alone. Thorough understanding of division is dependent upon knowledge and understanding of the interrelationships between the four processes—addition, subtraction, multiplication, and division. Following are the understandings commonly made explicit.

Key concepts: Division (mathematics), Multiplication (music), Subtraction, Arithmetic, Mathematics education, Process (computing), Computer science, Mathematics

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