지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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The purpose of the study was to investigate how students understand multiplication and division of fractions and how their understanding influences the solutions of fractional word problems. Thirteen students from 5th to 6th grades were involved in the study.
Students’ understanding of operations with fractions was categorized into “a part of the parts”, “multiplicative comparison”, “equal groups”, “area of a rectangular”, and “computational procedures of fractional multiplication (e.g., multiply the numerators and denominators separately)” for multiplications, and “sharing”, “measuring”, “multiplicative inverse”, and “computational procedures of fractional division (e.g., multiply by the reciprocal)” for divisions. Most students understood multiplications as a situation of multiplicative comparison, and divisions as a situation of measuring. In addition, some students understood operations of fractions as computational procedures without associating these operations with the particular situations (e.g., equal groups, sharing).
Most students tended to solve the word problems based on their semantic structure of these operations. Students with the same understanding of multiplication and division of fractions showed some commonalities during solving word problems. Particularly, some students who understood operations on fractions as computational procedures without assigning meanings could not solve word problems with fractions successfully compared to other students.
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참고문헌 (27)
참고문헌 신청
Barmby, P. / 2009 / The array representation and primary children's understanding and reasoning in multiplication / Educational Studies in Mathematics 70 : 217 ~ 241
Behr, M. / 1983 / Rational number concepts, In Acquisition of mathematics concepts and processes / Academic Press : 91 ~ 125
Behr, M. J. / 1992 / Rational number, ratio, and proportion, In Handbook of research on mathematics teaching and learning / NCTM : 296 ~ 333
Bell, A. / 1984 / Choice of operation in verbal arithmetic problems: The effects of number size, problem structure and context / Educational Studies in Mathematics 15 : 129
Carpenter, T. P. / 1988 / Representation of addition and subtraction word problems / Journal for Research in Mathematics Education 19 : 345 ~ 357
Behr, M. / 1983 / Rational number concepts, In Acquisition of mathematics concepts and processes / Academic Press : 91 ~ 125
Behr, M. J. / 1992 / Rational number, ratio, and proportion, In Handbook of research on mathematics teaching and learning / NCTM : 296 ~ 333
Bell, A. / 1984 / Choice of operation in verbal arithmetic problems: The effects of number size, problem structure and context / Educational Studies in Mathematics 15 : 129
Carpenter, T. P. / 1988 / Representation of addition and subtraction word problems / Journal for Research in Mathematics Education 19 : 345 ~ 357
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