• 응용통계연구
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• 제32권4호
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• pp.485-502
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• 2019

이론통계학은 통계학의 원리를 수학을 이용하여 배우는 교과목이다. 학생들이 수학을 충분히 알지 못하는 경우 이론통계학 교육을 통해 통계학의 원리를 이해하는 데에는 제약이 있다. 이론통계학 교육을 통해 통계학의 원리에 대한 이해를 높이기 위해 수학적 문제풀이 외에 R 프로그램을 이용한 통계 시뮬레이션이 보조적으로 도입되어 왔지만 수학을 이용한 문제풀이를 대신하지는 못하고 있다. 이 논문에서는 wxMaxima, Wolfram Alpha 등 기호 수학 연산이 가능한 수학 소프트웨어 CAS를 소개하고, 이를 이용하여 이론통계학 교육에 걸림돌이 되는 수학의 어려움에서 벗어나 통계학의 원리 자체를 학습할 수 있는 방안을 모색하였다.

• 호남수학학술지
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• 제19권1호
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• pp.53-59
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• 1997

• 호남수학학술지
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• 제19권1호
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• pp.1-20
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• 1997

• East Asian mathematical journal
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• 제32권2호
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• pp.291-300
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• 2016

The integration of mathematics education is required Fundamentally discussion about the nature and purpose of mathematics education. After the theoretical discussion of that, Practical approach of that can be correctly realized. However, It is the impression that theoretical discussions and practical action about the current discourse about integration in mathematics education are the wrong order. To understand the practical action for the integrated approach in mathematics education, theoretical discussion of the integrated approach of mathematical education is properly required.

• 대한수학회지
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• 제36권5호
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• pp.847-853
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• 1999

The purpose of this paper is to develop the theory of coassociated primes and to investigate Melkersson's question [8].

• 한국수학교육학회지시리즈D:수학교육연구
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• 제23권3호
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• pp.165-179
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• 2020

In this article, the author's intent is to begin a conversation centered on the question: How was the integration of digital technology into elementary mathematics classrooms framed? In the first part of the discussion, the author provides a historical perspective of the development of theoretical perspectives of the integration of digital technology in learning mathematics. Then, the author describes three theoretical perspectives of the role of digital technology in mathematics education: microworlds, instrumental genesis, and semiotic mediation. Last, based on three different theoretical perspectives, the author concludes the article by asking the reader to think differently.

• 아동학회지
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• 제28권4호
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• pp.319-331
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• 2007

This review of literature establishes a contemporary meaning of mathematical problem solving including young children's mathematical problem solving processes/assessments and teaching strategies. The contemporary meaning of mathematical problem solving involves complicated higher thinking processes. Explanations of the mathematical problem solving processes of young children include the four steps suggested by $P{\acute{o}}lya$(1957) : understand the problem, devise a plan, carry out the plan, and review/extend the plan. Assessments of children's mathematical problem solving include both the process and the product of problem solving. Teaching strategies to support children's mathematical problem solving include mathematical problems built upon children's daily activities, interests, and questions and helping children to generate new approaches to solve problems.

• East Asian mathematical journal
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• 제18권1호
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• pp.155-162
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• 2002

Lajos([1-3]) gave the ideal-theoretical characterizations of some classes of semigroups without "order". The first author([4]) gave the ideal-theoretical characterization of some classes of po-semigroup with order $"{\leq}"$. In this paper we give the other characterizations.

• 한국수학교육학회지시리즈A:수학교육
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• 제54권4호
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• pp.317-334
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• 2015

In this article we study structure of the concept of creative products in mathematics using mathematical creative products. We develop MCPSS1 that improve reliability and validity of MCPSS(Creative Product Semantic Scale in Mathematics). And we search structure of the concept of creative products in mathematics using mathematical creative products focused on theoretical investigation. So we suggest structure model of the concept of creative products focused on theoretical investigation. We compare the result with preceding research using various mathematical creative products, find some difference between relations of sub-factors of structure of the concept of creative products. Our result will provide meaningful data to mathematics education researchers that want to know structure of the concept of creative products in mathematics.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 2002년도 춘계공동학술대회
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• pp.1044-1051
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• 2002

This paper proposes a two-phase mathematical programming approach by considering classification gap to solve the proposed credit scoring problem so as to complement any theoretical shortcomings. Specifically, by using the linear programming (LP) approach, phase 1 is to make the associated decisions such as issuing grant of credit or denial of credit to applicants. or to seek any additional information before making the final decision. Phase 2 is to find a cut-off value, which minimizes any misclassification penalty (cost) to be incurred due to granting credit to 'bad' loan applicant or denying credit to 'good' loan applicant by using the mixed-integer programming (MIP) approach. This approach is expected to and appropriate classification scores and a cut-off value with respect to deviation and misclassification cost, respectively. Statistical discriminant analysis methods have been commonly considered to deal with classification problems for credit scoring. In recent years, much theoretical research has focused on the application of mathematical programming techniques to the discriminant problems. It has been reported that mathematical programming techniques could outperform statistical discriminant techniques in some applications, while mathematical programming techniques may suffer from some theoretical shortcomings. The performance of the proposed two-phase approach is evaluated in this paper with line data and loan applicants data, by comparing with three other approaches including Fisher's linear discriminant function, logistic regression and some other existing mathematical programming approaches, which are considered as the performance benchmarks. The evaluation results show that the proposed two-phase mathematical programming approach outperforms the aforementioned statistical approaches. In some cases, two-phase mathematical programming approach marginally outperforms both the statistical approaches and the other existing mathematical programming approaches.