• Education of Primary School Mathematics
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• v.14 no.1
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• pp.1-12
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• 2011

This paper provides an outline of mathematics education based on the classroom ecology. Ecology is the subject that concentrates on the relations of human and environment. As mathematics education consists of many factors, it is natural that mathematics education should be interest in the perspective of ecology. This paper examines the meaning of ecology and classroom ecology of mathematics education in the perspective of ecology. And it provides the directions of ecological mathematics education. In special, I set the frame of mathematics classroom in the perspective of ecology. The ecological structure divides microsystem(teacher, student, content), mesosysten(relations of microsystems), exosystem(school), and macrosystem(the objects of mathematics education). Lastly, I suggest the ways of mathematical learning and research of classroom ecology in mathematics education. For we should focus the improvement of students' mathematical ability, we must search for the various teaching and learning methods and the ares of research in the perspective of ecology classroom. Therefore, we should be interested in the classroom environments as well as teaching methods, contents based on the ecology classroom in mathematics education.

• Journal for History of Mathematics
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• v.27 no.5
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• pp.365-384
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• 2014

The purpose of this study is to assess the changes that occur to pre-service mathematics teachers by using survey on the self-reflection during their education practices. For four weeks of the education practice period, the changes to pre-service teachers are analyzed from teaching and learning perspectives. The teaching perspective is sub-categorized into lesson contents, teaching methods, and evaluation on teaching, and the learning perspective is sub-categorized into monitoring on learning, support for learning and evaluation on learning. The analysis shows that significant changes occur in teaching contents from the teaching perspective and in all the sub-categories from the learning perspective. Based on the analysis, preservice teachers are suggested to utilize self-reflection programs during their education practices to promote their professionalism in teaching.

• Research in Mathematical Education
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• v.1 no.2
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• pp.107-116
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• 1997

The purpose of this study is to develop a teaching/learning model for the mathematical enculturation of elementary and secondary school students. It is clear that the development of teaching and learning in the classroom is essential for the realization of global innovations in mathematics education. Research questions for this purpose are as follow: (1) What can be learned from literatures reviews of the socio-cultural perspective on mathematics education, and of ethnomathematics as a mathematics intrinsic to cultural activities? (2) What is the direction of teaching and learning from the perspective of mathematical enculturation? (3) What is the teaching /learning model for mathematical enculturation? (4) What is the instructional exemplification based on the developed model? This study promotes the establishment of mathematics education theory from the review of literatures on the socio-cultural perspective, the development of a teaching/learning model, and the instructional exemplification based on the developed model.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.221-239
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• 2010

Attention to Korean perspective mathematics education has been increasingly paid m international academic meetings or international comparative studies. Personal or intuitive, vague explanation has been given based on limited literature or observations. This increasing attention and Jack of studies warrant the necessity of systematic researches on it. This article aims at clarifying the research issues in searching for Korean perspective on mathematics education and finding the starting point through discussion on mathematical modeling by teacher on researchers and researchers. Firstly, hypothetical perspective will be described. Secondly, Fourteen teacher educators' and seven researchers' opinion on it will be discussed. Findings imply that strong responsibility for Korean mathematics teachers to reveal theoretical aspects of mathematical knowledge, i.e., structure or essence, as well as to pursue efficiency and effectiveness in mathematics teaching and learning is the main aspect of Korean perspective on mathematics education.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.621-636
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• 2013

In this paper we intended to present the case of mentorship program for the gifted in elementary mathematics education, which is related with Waldorf education. We installed the program to four six-grade students during six months. We focused on cultivating integrated perspective, aesthetic perspective and substantial skills. For the aim we dealt with the item, construction based on the aesthetic experiences. Finally we presented three main ideas, construction of regular polygons and flowers, construction of islamic design, and farmland cleanup with construction. We also contained the students' project in this paper.

• 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.

• Research in Mathematical Education
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• v.8 no.1
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• pp.1-18
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• 2004

Current interest in mathematics learning that focuses on understanding, mathematical reasoning and meaning making underscores the need to develop ways of analyzing classrooms that foster these types of learning. In this paper, the author show that the constructs of social and socio-mathematical norms, which grew out of taking a symbolic interactionist perspective, and Toulmins scheme for argumentation, as elaborated for mathematics education by Krummheuer [The ethnology of argumentation. In: The emergence of mathematical meaning: Interaction in classroom cultures (1995, pp. 229-269). Hillsdale, NJ: Erlbaum], provide us with means to analyze aspects of explanation, justification and argumentation in mathematics classrooms, including means through which they can be fostered. Examples from a variety of classrooms are used to clarify how these notions can inform instruction at all levels, from the elementary grades through university-level mathematics.

• Research in Mathematical Education
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• v.2 no.2
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• pp.89-108
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• 1998

We conducted a survey with the objective of studying the teachers' perspective of their students' learning in traditional calculus and its teaching strategies. This survey was targeted at mathematics teachers of the junior colleges, polytechnics and universities in Singapore. In this paper we present findings of the first part of our survey. The first part addresses various issues related to the mathematics teachers' perception of the current status of calculus education in Singapore. The findings of this study will be unique in Singapore context because, according to the best of our knowledge, no such survey on calculus education has ever been undertaken in Singapore.

• The Mathematical Education
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• v.59 no.2
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• pp.185-199
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• 2020

The purpose of this study is to discuss what the incorporation of humanistic imagination into mathematics means to mathematics education and to suggest implications for mathematics education in school mathematics. Traditionally, mathematics has been perceived to be far from our life problems because it targets logical and pure abstract thinking. According to international mathematics and science studies such as TIMSS and PISA, Korean students have relatively high mathematics achievement in the international research, but their attitude toward mathematics is very negative and their awareness of why they are learning mathematics and their satisfaction with life is low. In mathematics education, linking mathematics with humanities imagination allows students to view problems of human life from a humanities perspective, and to have an understanding of others and reflect on themselves from a new perspective. The researcher introduces several examples of whether mathematics and humanistic imagination can be combined for mathematics education. In this study, the ultimate reason for learning mathematics is to achieve learners to realize the principles of life or Dharma, and to live a happier life. However, in order to expand its rich meaning by making these new attempts in mathematics education, the researcher argued that tolerance and patience are needed for many challenges and difficulties in improving the quality of mathematics content itself including applying humanistic imagination to mathematics properly.

• Communications of Mathematical Education
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• v.33 no.4
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• pp.445-453
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• 2019

Gender might be interpreted in different roles and meanings depending on social and cultural backgrounds. Based on the premise that understanding of gender may change the direction of mathematics education, this paper confirmed how gender is interpreted in the preceding study of mathematics education in Korea by applying the literature research method. In particular, predictive model based on empirical perspective and gender schema model based on constructivist perspective. Based on the analysis of gender and research methods in cultural and historical composition models based on historical perspectives and postmodernism models based on postmodernism perspectives, this study analyzed trends in domestic mathematics education. As a result of the analysis, it is confirmed that gender is recognized as a biological difference in domestic mathematics education, and that analysis of gender and related elements of mathematics education is mainly used using statistical analysis techniques. This suggests that various approaches to interpreting gender's role in future mathematics education are needed. The existing mathematics education research on gender is composed in terms of gender differences. Since biology at the time did not explain this difference, however, it should now be based on the concept of gender, which is socially defined gender. Accurate understanding of gender and gender can be the basis for clearer understanding and interpretation of gender-related mathematics research.