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유윤재,Yoo, Yoon-Jae 한국수학사학회 2010 Journal for history of mathematics Vol.23 No.3
함수 개념을 실제로 사용되고 있는 측면에서 분석하면 인과, 명명, 연산, 변화, 도형, 형태, 변수, 범함수, 작용소 등 적어도 9가지의 양상이 존재한다. 이러한 분석을 통하여 함수 개념은 현재 3단계로 성장해 왔다는 것이 밝혀졌다. In this paper function concept is classified in the phenomenological aspect. According to the study, function concept is classified as causality, designation, operation, change, figure, morhism, variables, functional, and operator. This classifications are categorized as pre-level function, basic level function, and upper level function.
유윤재 한국수학사학회 2013 Journal for history of mathematics Vol.26 No.6
The article makes a discussion to conceptualize a histo-genetic principle in the real historical view point. The classical histo-genetic principle appeared in 19th century was founded by the recapitulation law suggested by biologist Haeckel, but recently it was shown that the theory on it is no longer true. To establish the alternative rationale, several metaphoric characterizations from the history of mathematics are suggested: among them, problem solving, transition of conceptual knowledge to procedural knowledge, generalization, abstraction, circulation from phenomenon to substance, encapsulation to algebraic representation, change of epistemological view, formation of algorithm, conjecture-proof-refutation, swing between theory and application, and so on. 본 연구는 역사발생적 원리를 실제 역사적 관점에서 재구성하려는 데 있다. 19세기에 나타났던 고전적역사발생적 원리의 정초는 생물학자 헤켈의 재현의 법칙에 바탕을 두고 있으나 현재 그 법칙은 더이상 유효하지 않음이 밝혀졌다. 이에 대한 대안으로서 여러 역사적 현상을 은유 관점에서 재구성하는전략을 택한다. 이에 따르면 역사발생적 원리는 문제해결, 개념적 지식과 절차적 지식의 변환과정,일반화 과정, 추상화 과정, 현상과 본질의 교대 과정, 대수화 과정, 인식론적 전환과정, 알고리듬의조직 과정, 추측, 증명, 논박의 변증법적 교대과정, 이론과 응용의 순환 과정 등으로 나타난다. 이러한역사적 특징을 통하여 학교수학의 교육과정과 지도 방법을 개발하고 실천하는 것이 바람직하다.
유윤재 한국과학영재교육학회 2009 과학영재교육 Vol.1 No.3
본 연구는 수학적 창의성 개념을 규정하고 이에 따른 신장방안을 인지적 측면과 환경 측면에서 논의하고 있다.
유윤재 경북대학교 과학교육연구소 1997 科學敎育硏究誌 Vol.21 No.-
Many teachers feel teaching of substraction difficult or unsatifactory. This paper analigzes the reason why such difficulties occur. As one of admissible conclusions, many text books do not explain precise concepts of substraction.
제7차 교육과정 시행에 따른 학습현장의 실태분석 및 개선방안 연구
유윤재,손영숙 慶北大學校 師範大學 科學敎育硏究所 2001 科學敎育硏究誌 Vol.25 No.-
The purpose of this study is to search for better reform measures in applying the 7th curriculum to school classes. According to the study, when this curriculum is applied to school classes it is shown that sufficient experiments and implementations are needed. Many teachers do not understand fully the real meaning of the new curriculum and this makes them difficult to excute completely what the curriculum pursuits.
유윤재 慶北大學校 師範大學 科學敎育硏究所 1999 科學敎育硏究誌 Vol.23 No.-
Traditionally mathematics is considered to be a priori and independent of experiences. According to this paradigm teaching of mathematics generally relies on the Hilbert Euclid's theorem-proof procedures. But the constructivism on which the 7th curricula is based basically asks mathematics educations of empiricism or empirical behaviors. Exploitations of multimedia and audio-visual hardware are popular and experiment in mathematics is designed for this new trend. Although experiments and inductive thinking are allowed in mathematics education, there is no settled method how to process experiment-deductive arguments. In this article, the author introduces Computer Based Learning which is analogues of experiments in empirical science.
유윤재 한국수학사학회 2001 Journal for history of mathematics Vol.14 No.2
Rationality in mathematics is discussed by analyzing historical facts concerning infinitesimality. Several views containing Platonism, formalism and falsificationism are suggested to analyze rationality.
유윤재 한국수학사학회 2001 Journal for history of mathematics Vol.14 No.1
There are two epochs when progress in mathematics was distorted or developed improperly In this article, post Pythagorean age and post Newtonian age are the cases and the causes for this are shown.