수학개념 형성단계에 대한 모델과 적용사례 -분수 체 형성 추상화 단계 = A case study for student`s understanding -abstraction process to quotient fields

다국어 초록 (Multilingual Abstract)

Research in undergraduate mathematics education has been active very recently. The purpose of the paper is to investigate how college students make abstraction from some known informations about integer and rational numbers in abstract algebra. Three college students were involved in the study. We analyze student`s personal answers in order to find where their misunderstandings and difficulties come from based on the theoretical frameworks on mathematical understanding such as APOS-model and P-K-model. Finally we discuss about constructivist teaching ways for abstract algebra and propose new paradigm for teaching undergraduate mathematics.

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