• 한국수학사학회지
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• 제13권1호
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• pp.137-141
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• 2000

This paper discusses Godel's Disjunctive Conclusion in terms of cognitive science and his Incompleteness Theorems from a metamathematical perspective.

• Journal of applied mathematics & informatics
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• 제41권2호
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• pp.345-362
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• 2023

Prouhet string morphism has been a well investigated morphism in different studies on combinatorics on words. In this paper we consider Prouhet array morphism for the images of binary picture arrays in terms of Parikh q-matrices. We state the formulae to calculate q-counting scattered subwords of the images of any arrays under this array morphism and also investigate the properties such as q-weak ratio property and commutative property under this array morphism in terms of Parikh q- matrices of arrays.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권1호
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• pp.11-18
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• 2003

One of the terms that are most often used in mathematics classrooms by either teachers or students might be about 'understanding' of mathematical concepts. Although 'understanding' in mathematics teaching and learning has been highly emphasized by many people, there is no exact and undebatable definition of 'understanding' as of yet. This paper tries to contribute to unfolding the meaning and the structure of understanding in mathematics education along with various literature and finally enhance our understanding of 'understanding' in mathematics education.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제5권2호
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• pp.111-119
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• 2001

Over the years, the benefits of instructional manipulatives in mathematics education have been verified by classroom practice and educational research. The purpose of this paper is to introduce how the instructional material, specifically, geoboard could be used and integrated in elementary mathematics classroom in order to develop student's mathematical concepts and process in terms of the following areas: (1) Number '||'&'||' Operation : counting, fraction '||'&'||' additio $n_traction/multiplication (2) Geometry : geometric concepts (3) Geometry : symmetry '||'&'||' motion (4) Measurement : area '||'&'||' perimeter (5) Probability '||'&'||' Statistics : table '||'&'||' graph (6) Pattern : finding patterns Further, future study will continue to foster how manipulatives will enhance children's mathematics knowledge and influence on their mathematics performance.

• Journal of applied mathematics & informatics
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• 제16권1_2호
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• pp.551-558
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• 2004

We shall discuss some properties of quasi-homomorphisms associated with automata. We shall give some characterizations in terms of characteristic semigroups for regular and invertible attomata.

• Journal of applied mathematics & informatics
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• 제39권1_2호
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• pp.125-131
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• 2021

In the paper, we investigate the representation of the numerical range W(An) for the 2 × 2 complex matrix A, in terms of the numerical range W(A) of the matrix A, and the elements of A or the eigenvalue of A.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제18권4호
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• pp.257-272
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• 2014

This paper examines and presents descriptions of 12 prospective primary teachers' views on the nature of mathematics in USA. All the participants were elementary teacher candidates enrolled in the same mathematics method courses. Interview data show that the prospective primary teachers possess two kinds of views on the nature of mathematics: primarily traditional and even mix of traditional and nontraditional beliefs in terms of Raymond's (1997) belief criteria. Implications for teacher education were discussed at the end of the paper.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제14권3호
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• pp.225-236
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• 2011

본 논문에서는 핀란드 수학과 교육과정에 대하여 알아보고, 이를 우리나라 2009 개정 수학과 교육과정과 비교 분석하였다. 핀란드 수학과 교육과정은 학년군별로 편성되어 있고, 학년군의 목표와 내용 영역별 목표, 학년군 말에 실시되는 평가의 성취기준 등이 제시되어 있어 우리나라 2009 개정 수학과 교육과정과 형식면에서 유사한 점이 많이 있지만 내용에 있어서는 수학적 성향이나 수학적 과정을 성취기준에 포함시키는 등 차이가 있었다. 본 연구 결과, 수학과 교육과정의 목표, 내용, 평가 등이 일관성을 유지할 필요가 있으며, 핀란드의 학년군제 운영의 실제를 파악할 필요성이 제기되었다.

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.519-524
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• 2007

Facility location problems deal with the concept of centrality and centrality questions are examined using graphs and eccentricity. In this paper, we give interesting properties of a tree in relation with the number of central vertices and peripheral vertices. Also we have some conditions to be an eccentric graph in terms of the girth of a graph.

• Journal of applied mathematics & informatics
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• 제35권5_6호
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• pp.449-457
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• 2017

In this paper, we shall provide several properties of Dedekind sums with quasi-periodicity Euler functions. In particular, we present a representation of these Dedekind sums in terms of the Eulerian functions and the tangent functions.