• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.63-81
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• 2014

Korean students have shown high achievements on the cognitive domain of mathematics in a range of international assessment tests. On the affective domain, however, significantly low achievements have been reported. Among the factors in the affective domain, this article discusses on the value of mathematics in the perspective of Michael Polanyi's philosophy, which centers personal knowledge and tacit knowing. Polanyi emphasizes abstractness and generalization in mathematics accompanied by intellectual beauty and passion. In his perspective, therefore, utilitarian aspects and usefulness of mathematics imparted through linguistic representations have limits in motivating students to learn mathematics. Students must be motivated from recognition of the value of mathematics formed through participating authentic mathematical problem solving activity with immersion, tension, confusion, passion, joy and the like.

• The Mathematical Education
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• v.58 no.4
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• pp.609-625
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• 2019

While research projects and reports on values in mathematics education increased in the international community over the years, little has been known about the topic and research findings in South Korea. The purpose of this study was to analyze the trends of value research in mathematics education focused on the "mathematical values" and "mathematics educational values" as defined by Bishop (1996) through a systematic review of the literature. A total of 66 research papers related to value research were analyzed in terms of the following four areas: research period, projects, target research population, and research method. The results of this study showed that the value research that was carried out was project-driven. There was an increase in both the number of papers published and countries that were studied, which encouraged the continuous expansion of the field. Furthermore, the topic of mathematics educational values was studied more than mathematical values. It was also observed that the survey method, among others, was frequently used to explore mathematics educational values of middle school teachers. Finally, research methods related to the measurement of value were gradually refined over time. Based on these results, this paper describes implications to conduct and advance value research in South Korea in various aspects, including in the field of mathematics education.

• Communications of Mathematical Education
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• v.34 no.3
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• pp.277-297
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• 2020

The purpose of this study was to identify and compare the mathematics educational values of pre-service and in-service elementary school teachers. For this purpose, we implemented a questionnaire investigating mathematics educational values and used principal component analysis which resulted in six components. These components were named as fun, problem-solving, representation, computation, ability, and explanation through systematic labeling processes. Both pre-service and in-service elementary school teachers considered problem-solving the most important and there was no statistical difference between the teacher groups. They also considered fun the least important and in-service elementary school teachers regarded it more important than pre-service counterparts did. All value components except explanation were regarded as important by in-service elementary school teachers, fourth-year pre-service teachers, and first-year pre-service teachers in order. The result of noticeable differences between pre-service and in-service elementary school teachers implies that actual teaching experience may affect teachers' mathematics educational values more than teacher preparation programs. Based on these findings, we need to discuss what should be regarded as important and worthwhile in teacher preparation programs to establish mathematics educational values for pre-service teachers. We also need to confirm whether the mathematics educational values by in-service elementary school teachers may be in line with what has been pursued in the national mathematics curriculum.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.4
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• pp.405-435
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• 2019

Despite the recent emphasis on value research in mathematics education along with the significance of values from a new perspective, there has been a lack of research on the values perceived by teachers and students in Korea. This paper analyzes how fifth-grade students would perceive the values of a master teacher with expertise in elementary mathematics education after her teaching of mathematics and whether their values on mathematics learning would change. According to the study, the students recognized that the master teacher valued understanding, preview-review, picture, problem, and reason in mathematics learning. Among these, the value of understanding was perceived as the core value. An analysis of the students' values on general mathematics learning and personal mathematics learning showed that preview and review were the most important before and after the master teachers' teaching. An analysis of the changes in the values of students showed the greatest change in the value of understanding. Instead of accepting the values of the master teacher as it were, students actively reconstructed and maintained them. Based on these results, this paper has drawn implications regarding the consideration of students' values in mathematics learning.

• Journal for History of Mathematics
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• v.17 no.3
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• pp.61-72
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• 2004

In this paper, we investigate several values of the Nine Chapters on the Mathematical Art on mathematics educational viewpoint. We study them with four points of view: mathematical approach through problems of real life, algorithmization of concept and type, significance of affective domain and application of arithmetic. The result shows that the Nine Chapters on the Mathematical Art have great meaning of today's Korean mathematics education and possibility of application.

• School Mathematics
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• v.10 no.4
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• pp.649-669
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• 2008

The study focuses on what to consider and do for the improvement of math education of Korea by comparing two general high school students' and two specialized high school students' beliefs about mathematics and mathematics learning. The major topics compared in the beliefs are composed of perception of mathematics as a science, learning methods of mathematics. The results of the study show that two general high school students tend to set more low value on mathematics, especially in the value of implement, civilization, utility of mathematics than that of two specialized high school students.

• Communications of Mathematical Education
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• v.17
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• pp.97-114
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• 2003

일선 교육 현장에서 영재를 지도함에 있어서 해결해야 할 당면 과제는 판별 도구와 학습 프로그램의 개발이다. 영재를 위한 수학 프로그램을 문제 해결형, 수학 탐구형, 과제 해결형의 3가지로 분류할 경우, 퍼즐은 문제 해결형과 수학 탐구형 프로그램의 특성을 공통적으로 갖고 있는 유형으로 수학적 지식의 통합과 연결성. 그리고 창의적 문제 해결력 신장 및 수학적 원리 ${\cdot}$ 법칙을 체험적으로 만들 수 있는 기회를 제공한다는 점에서 매우 가치있는 프로그램이다. 특히 조작퍼즐은 기존의 대수적 표현 체계로 학습하기가 힘든 관찰력이나 공간에 대한 인식과 표현력 친 공간 추론력을 기르는 데 유용하며, 게임적인 요소가 포함된 퍼즐은 지필에 의존해 왔던 수학학습에 대한 부정적인 인식을 해소하는 데 크게 기여할 것이다. 본 고에서는 수학 퍼즐의 종류 및 특성과 교육적 가치에 대해서 개괄적으로 살펴보고, 실제 프로그램 작성을 위한 정보를 제공과 영재들의 공감 감각을 기르기 위한 프로그램의 원을 이용한 수학 퍼즐의 개요를 제시한다.

• The Mathematical Education
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• v.62 no.3
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• pp.327-340
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• 2023

The value that students consider important in math learning may vary depending on the student's socio-cultural background and personal experience. Although socio-cultural backgrounds are very diverse, I considered overseas vs domestic Koreans, and secondary school levels as variables in terms of students' educational experiences. Overseas students had a lower perception of the value in mathematics than domestic students, especially about understanding mathematics knowledge and the value of the latest teaching and learning methods. Middle school students perceived the value of mathematics as an activity higher than that of high school students, and high school students perceived student agency as a higher value than middle school students. In addition, I considered meta-affect as one of the individual students' experiences, finally meta-affect was a variable that could explain value perception in math learning, and in particular, affective awareness of achievement, affective evaluation of value, and affective using were significant. From the results, I suggested that research on ways to improve the value and the meta-affect in math learning, test to measure the value of students in math learning, the expansion of research subjects to investigate the value in math learning, and a teacher who teaches overseas Koreans are needed.

• Journal of Educational Research in Mathematics
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• v.17 no.4
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• pp.419-436
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• 2007

It is significant that students understand why they have to learn mathematics, because such understanding has a powerful impact not only on affective but also on cognitive aspects in mathematics education. However, studies on in what ways students perceive the purpose of mathematics education are not sufficient. Given this background, this study examined 6th grade students' conception on the intention of learning mathematics by survey and Interview in order to raise subtle but important issues to improve mathematics education. Elementary students showed that they didn't perceive the multiple purposes of mathematics education. Their conceptions were focused on practicality, academic values and the preparation for the future of mathematics. Lower achievers had a tendency to relatively more negative responses to the purposes of mathematics education. This study underlines the importance of the purpose of studying mathematics on the part of students.

• Communications of Mathematical Education
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• v.9
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• pp.1-13
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• 1999

수학 교육에서 수학 지식의 추상적 특성으로 인하여 수학 학습에 중요한 발생적 측면으로서 “concrete“ 에 대한 학습론적인 연구가 부족하였다. 또한 구체적 감각 조작 단계에서 형식적 추상적 조작 단계로의 아동의 인지 발달을 강조하다보니 ”concrete“와 ”abstract“의 통상적인 의미가 이분화 됨으로서 수학 학습에서 모든 연령과 수준에 무관한 상보적이고 상호 작용하는 가치를 수학 교육 연구에서 잊고 있었다. 본 논문은 발생적인 그리고 구성주의적 수학 학습에서 ”concrete”가 가져야 할 새로운 의미를 제안하였다. 새로운 의미의 “concrete“는 다양한 경험과 사물 그리고 지식과의 관계 맺음을 의미하는 ”connected“와 같은 맥락을 갖는다고 보고 몇 가지 수학교육에 관련된 의의와 중요성을 제시하였다.