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http://dx.doi.org/10.7468/jksmec.2021.24.2.103

Exploring the Issues and Improvements of the Quotient and the Reminder of the Decimal Division  

Lee, Hwayoung (Korea Foundation for the Advancement of Science & Creativity)
Publication Information
Education of Primary School Mathematics / v.24, no.2, 2021 , pp. 103-114 More about this Journal
Abstract
In this study I recognized the problems with the use of the terms 'quotient' and 'reminder' in the division of decimal and explored ways to improve them. The prior studies and current textbooks critically analyzed because each researcher has different views on the use of the terms 'quotient' and 'reminder' because of the same view of the values in the division calculation. As a result of this study, I proposed to view the result 'q' and 'r' of division of decimals by division algorithms b=a×q+r as 'quotient' and 'reminder', and the amount equal to or smaller to q the problem context as a final 'result value' and the residual value as 'remained value'. It was also proposed that the approximate value represented by rounding the quotient should not be referred to as 'quotient'.
Keywords
division of decimal; division of rational number; division algorithm; quotient; reminder; result value; the amount left;
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