• East Asian mathematical journal
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• 제11권1호
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• pp.73-80
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• 1995

• 한국수학교육학회지시리즈D:수학교육연구
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• 제27권2호
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• pp.211-221
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• 2024

What is the aim of mathematics education? Current aims of mathematics education often lack the multidimensionality needed to account for a successful experience in mathematics. In this short paper, we argue for a multidimensional aim of mathematics education via the construct of flourishing. Flourishing is derived from the notion of eudaimonia, which broadly refers to achieving the "highest good," or living a well-lived life. Building on prior research, we operationalize flourishing as an aggregate of several positive affective, behavioral, cognitive, and social traits, all of which contribute to students' propensities to achieve the "highest good" in mathematics. In particular, we propose five traits which contribute to students' propensities to achieve the "highest good" (i.e., flourish) in mathematics: (1) positive emotions toward mathematics; (2) engagement in mathematics; (3) community in mathematics; (4) meaning in mathematics; (5) perceived competence in mathematics. Thus, we argue that one productive aim of mathematics education is to support students in fulfilling each of these traits, which ultimately leads to flourishing in mathematics. To supplement our theoretical stance, we offer suggestions for measuring flourishing as an aim. We close this short paper by describing the implications that such an aim might suggest for pedagogy, policy, and research.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제12권1호
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• pp.67-83
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• 2008

Promoting students' mathematics understanding is an important research theme in mathematics education. According to general theories of learning, mathematics understanding is close to active learning or significant learning. Thus, if a teacher wants to promote his/her students' mathematics understanding, he/she should pay attention to the students so that the students' thinking is in active situation. In the first part of this paper, some mathematics teachers' ideas about paying attention to their students in Chinese high school are given by questionnaire and interview. In the second part of this paper, we give some teaching episodes about how experienced mathematics teachers promote their students' mathematics understanding based on paying attention on them.

• Korean Journal of Mathematics
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• 제24권4호
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• pp.737-750
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• 2016

In this note we describe some classes of rings in relation to Abelian property of factorizations by nilradicals and Jacobson radical. The ring theoretical structures are investigated for various sorts of such factor rings which occur in the process.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제13권1호
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• pp.31-48
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• 2009

Utilizing the path analysis method, the study explores the relationships among the influential factors in mathematics modeling academic achievement. The following conclusions are drawn: 1. Achievement motivation, creative inclination, cognitive style, the mathematical cognitive structure and mathematics modeling self-monitoring ability, those have significant correlation with mathematics modeling academic achievement; 2. Mathematical cognitive structure and mathematics modeling self-monitoring ability have significant and regressive effect on mathematics modeling academic achievement, and two factors can explain 55.8% variations of mathematics modeling academic achievement; 3. Achievement motivation, creative inclination, cognitive style, mathematical cognitive structure have significant and regressive effect on mathematics modeling self-monitoring ability, and four factors can explain 70.1% variations of mathematics modeling self-monitoring ability; 4. Achievement motivation, creative inclination, and cognitive style have significant and regressive effect on mathematical cognitive structure, and three factors can explain 40.9% variations of mathematical cognitive structure.

• 한국수학교육학회지시리즈A:수학교육
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• 제52권2호
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• pp.129-147
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• 2013

The Ministry of Education Science and Technology represented National Mathematics Education Advance Plan in 2012. The plan is focused on reinforcing mathematics education, improving understanding about mathematics, and enhancing self-guided learning. After the National Mathematics Education Advance Plan new middle school mathematics textbooks have been developed and they will be used from 2013. The purpose of this study is to analyse those mathematics textbooks to find how the National Mathematics Education Advance Plan is affected to the mathematics textbooks. This study found some important aspects affected from the Advance Plan to those textbooks and some implications for the future Korean mathematics education.

• 한국수학사학회지
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• 제33권1호
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• pp.21-32
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• 2020

Daniel Coit Gilman, the first president of Johns Hopkins University, aspired to build an ideal university focused on the competent faculty and their research. His plan was carried out through opening the first American graduate program, hiring professors with the highest-level research performances, assigning them less teaching burdens, and encouraging them to actively publish professional journals. He introduced Department of Mathematics as an initial model to put his plan into practice, and James Joseph Sylvester, a British mathematician invited as the first mathematics professor to Johns Hopkins University, made it possible in a short time. Their concerted efforts led to building the Department of Mathematics as a professional research institute for research, higher education, and expert training as well as to publishing American Journal of Mathematics.

• 한국학교수학회논문집
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• 제24권4호
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• pp.327-348
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• 2021

본 연구는 수학학습 멘토링 활동이 예비수학교사들의 수학교수지식에 미치는 영향에 대해 알아보기 위하여 M대학교 수학교육과 학생 6명을 연구 대상자로 선정하였다. 예비수학교사들은 농촌지역 중학생과 주 2회 2시간씩 15주 동안 1:1로 수학학습 멘토링을 진행하였으며, 매주 학습사항 및 정서관찰을 기록한 멘토일지를 과제로 제출하였다. 예비수학교사들의 멘토일지, 성찰일지와 면담 내용을 바탕으로 수학학습 멘토링 활동이 예비수학교사들의 수학교수지식과 학생에 대한 이해 및 자아성찰에 미치는 영향을 분석한 결과 다음과 같은 결론을 얻었다. 첫째, 수학학습 멘토링은 예비수학교사들에게 이론적인 수학교육학의 내용을 학교현장에서 적용할 수 있는 기회를 제공함으로써 이론적인 지식을 실천적 지식으로 발현하게 하였다. 둘째, 수학학습 멘토링은 예비수학교사들에게 학생을 이해하는 방법과 이해하는 능력을 갖추는데 도움을 주었고, 학습자로서의 자신의 태도 및 자세에 대해 반성하게 하는 기회를 제공하였다. 셋째, 수학학습 멘토링은 예비수학교사들에게 수업에 대한 반성의 기회를 제공함으로써 교수 활동을 신장하는데 도움을 주었다. 넷째, 수학학습 멘토링은 예비수학교사들의 교직에 대한 신념과 교직관의 변화에 긍정적인 영향을 주었다.

• Korean Journal of Mathematics
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• 제32권1호
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• pp.43-57
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• 2024

Given a domain X and a collection H of functions h : X → {0, 1}, the Vapnik-Chervonenkis (VC) dimension of H measures its complexity in an appropriate sense. In particular, the fundamental theorem of statistical learning says that a hypothesis class with finite VC-dimension is PAC learnable. Recent work by Fitzpatrick, Wyman, the fourth and seventh named authors studied the VC-dimension of a natural family of functions ℋ'²_t(E) : 𝔽²_q → {0, 1}, corresponding to indicator functions of circles centered at points in a subset E ⊆ 𝔽²_q. They showed that when |E| is large enough, the VC-dimension of ℋ'²_t(E) is the same as in the case that E = 𝔽²_q. We study a related hypothesis class, ℋ^d_t(E), corresponding to intersections of spheres in 𝔽^d_q, and ask how large E ⊆ 𝔽^d_q needs to be to ensure the maximum possible VC-dimension. We resolve this problem in all dimensions, proving that whenever |E| ≥ C_dq^d-1/(d-1) for d ≥ 3, the VC-dimension of ℋ^d_t(E) is as large as possible. We get a slightly stronger result if d = 3: this result holds as long as |E| ≥ C_3q^7/3. Furthermore, when d = 2 the result holds when |E| ≥ C_2q^7/4.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제31권1호
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• pp.149-177
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• 2017

우리나라의 근 현대 수학 교재는 19세기말 아라비아 숫자를 이용한 필산(筆算)이 산학전문가들에게 소개되면서 선교사와 서당에서의 서양수학 교육을 시작으로 1894년 6월 28일 갑오교육개혁을 통하여 수학교육이 공교육에 포함된 이후 공식적으로 발간되기 시작하였다. 1905년 조선통감부를 통한 수학교과과정의 소개와 1910년 이후 일제강점기, 또 1945년 이후 군정에서의 수학교재 그리고 1948년 정부 수립이후 2015년 개정 수학과 교육과정을 거치면서 다양한 형식으로 발간되어 왔다. 본 연구에서는 조선 말기부터 대한제국, 일제 강점기, 해방 후 미군 군정청, 대한민국 교육과정의 변화를 거치면서 개발되어 소개된 근 현대수학 교재들의 특징을 시대별로 분류하여 소개한다.