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http://dx.doi.org/10.7858/eamj.2022.025

A Study on the Fraction as Quotient and Equal Sharing Strategies in Elementary Mathematics  

Lee, Hosoo (Department of Mathematics Education, Teachers College (Elementary Education Research Institute) Jeju National University)
Choi, Keunbae (Department of Mathematics Education, Teachers College Jeju National University)
Publication Information
East Asian mathematical journal / v.38, no.4, 2022 , pp. 379-396 More about this Journal
Abstract
In this paper, we investigate distribution strategies in the Egyptian fraction, and through this, we examine the distribution strategies of (fraction)÷(fraction) and then provide some educational implications. The (natural number)÷(natural number) of the sharing situation has the meaning of 'share' per unit, which can be seen as a situation where the unit ratio is determined. These concepts can also naturally be extended to the case of (fraction)÷(fraction) by some problem posing situations. That is to say, the case of (fraction)÷(fraction) can be deduced the case (natural number)÷(natural number) by the re-statement of the problem.
Keywords
fraction as quotient; natural number division; problem posing; determination of unit rate;
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Times Cited By KSCI : 1  (Citation Analysis)
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