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An Action Research on Instruction of Division of Fractions and Division of Decimal Numbers : Focused on Mathematical Connections  

Kim, Jeong Won (Sintanjin Elementary School)
Publication Information
Journal of Educational Research in Mathematics / v.27, no.3, 2017 , pp. 351-373 More about this Journal
Abstract
The meanings of division don't change and rather are connected from whole numbers to rational numbers. In this respect, connecting division of natural numbers, division of fractions, and division of decimal numbers could help for students to study division in meaningful ways. Against this background, the units of division of fractions and division of decimal numbers in fifth grade were redesigned in a way for students to connect meanings of division and procedures of division. The results showed that most students were able to understand the division meanings and build correct expressions. In addition, the students were able to make appropriate division situations when given only division expressions. On the other hand, some students had difficulties in understanding division situations with fractions or decimal numbers and tended to use specific procedures without applying diverse principles. This study is expected to suggest implications for how to connect division throughout mathematics in elementary school.
Keywords
connections; division of fractions; division of decimal numbers; meanings of division; procedures of division;
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