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http://dx.doi.org/10.7468/mathedu.2011.50.1.041

An Analysis of the Whole Numbers and Their Operations in Mathematics Textbooks: Focused on Algebra as Generalized Arithmetic  

Pang, Jeong-Suk (Dept. of Elementary Education (Mathematics Education), Korea National University of Education)
Choi, Ji-Young (Seoul DaeDong Elementary School)
Publication Information
The Mathematical Education / v.50, no.1, 2011 , pp. 41-59 More about this Journal
Abstract
Given the importance of algebra in the early grades, this paper analyzed the contents of whole numbers and their operations from the perspectives of generalized arithmetic. In particular, the focus of analysis was given to the properties of 0 and 1, those of operations such as commutativity, associativity, and distributivity, and the relations between operations. As such, this paper analyzed in detail how such properties and relations were introduced and expanded across different grades. It is expected that many issues in this paper will serve basic information to develop instructional materials in a way to fostering students' algebraic thinking in the elementary grades.
Keywords
early algebra; algebraic thinking; generalized arithmetic; analysis of mathematics textbooks; properties of numbers; properties of operations; commutativity; associativity; distributivity; identity; relationships between operations;
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