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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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Algebra deals with so general properties about number system that it is called as ‘generalized arithmetic’.
Observing students’ activities in algebra classes, however, we can discover that recognition of the generality inalgebraic proofs is not so easy. One of these difficulties seems to be caused by variables which play animportant role in algebraic proofs. Many studies show that students have experienced some difficulties inrecognizing the meaning and the role of variables in algebraic proofs. For example, the confusion between2m+2n=2(m+n) and 2n+2n=4n means that students misunderstand independent/dependent variation of variables.
This misunderstanding naturally has effects on understanding of the meaning of proofs. Furthermore, studentsalso have a difficulty in making a transition from algebraic proof to numerical cases which have the samestructure as the proof. This study investigates whether middle school students can recognize dependentgenerality and make a transition from proofs to numerical cases. The result shows that the participants of thisstudy have a difficulty in both of them. Based on the result, this study also includes didactical implications forteaching the generality of algebraic proofs.
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참고문헌 (15)
참고문헌 신청
Lee, L. / 1996 / Approaches to algebra: Perspectives for research and teaching / Kluwer academic publishers : 87 ~ 106
Mason, J. / 1984 / Generic examples : seeing the general in the particular / Educational Studies in Mathematics 15 : 227 ~ 289
Mason, J. / 1996 / Approaches to algebra: Perspectives for research and teaching / Kluwer academic publishers : 65 ~ 86
Mason, J. / 2002 / Questions about mathematical reasoning and proof in schools / Reasoning, explanation and proof in school mathematics and their place in the intended curriculum:
Radford, L. / 1996 / Approaches to algebra: Perspectives for research and teaching / Kluwer academic publishers : 107 ~ 111
Mason, J. / 1984 / Generic examples : seeing the general in the particular / Educational Studies in Mathematics 15 : 227 ~ 289
Mason, J. / 1996 / Approaches to algebra: Perspectives for research and teaching / Kluwer academic publishers : 65 ~ 86
Mason, J. / 2002 / Questions about mathematical reasoning and proof in schools / Reasoning, explanation and proof in school mathematics and their place in the intended curriculum:
Radford, L. / 1996 / Approaches to algebra: Perspectives for research and teaching / Kluwer academic publishers : 107 ~ 111
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