East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A Case Study on the Fractional Sense and Fraction Operation Ability of Elementary Gifted Class Students

초등 영재학급 학생의 분수 감각과 분수 조작 능력 사례연구

  • Hae Gyu, Kim (Department of Mathematics Education, Teachers College Jeju National University) ;
  • Hosoo Lee (Department of Mathematics Education, Teachers College Jeju National University) ;
  • Keunbae Choi (Department of Mathematics Education, Teachers College Jeju National University)
  • Received : 2024.01.15
  • Accepted : 2024.02.28
  • Published : 2024.02.29
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Abstract

This study is a case study that considered fractional senses and fraction operation abilities for 107 gifted students in elementary school classes. In order to find out the fractional sense, in the first question comparing the sizes of fractions 2/3 and 4/5, the students showed a variety of strategies, but the utilization rate of strategies excluding reduction to a common denominator did not exceed 50%. The second question can be solved by using the first question. It is a problem of finding two fractions by selecting four from six numbers 1, 3, 4, 5, 6, and 7 to create two fractions of which sum does not exceed 1. The percentage of correct answers to this question was about 27% (29 out of 107). Only 5 out of 29 students found answers using the first question, and the rest of the students sought answers through trial and error in various calculations. It shows that the item arrangement method from a deductive perspective has no significant effect on elementary school students. The percentage of correct answers was about 27% in the questions to find out the fraction operation ability-the question of drawing a 4/3 bar using a given 3/8-sized bar and 30.7% (23 out of 75) of the students who had wrong answers showed insufficient splitting operation. In addition, it has been shown that the operation of partitioning and iterating to form numerical senses and fractional concepts related to the fractions of the students has no significant impact.

Keywords

Acknowledgement

이 논문은 2023학년도 제주대학교 교원성과지원사업에 의하여 연구되었음

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