• Education of Primary School Mathematics
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• v.10 no.2
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• pp.151-161
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• 2007

There were a lot of attempt to reform mathematics education. These may include reforms of teaching and learning methods, development of mathematics curriculum and textbooks, materials and resources for teaching. But the most important thing is reform of teaching and learning method. The teaching and learning in mathematics is related with culture of mathematics classroom. Thus the culture of mathematics classroom plays a critical role in the learning of mathematics. Although there is consensus what desirable culture of mathematics classroom is, the role of teachers is important to make desirable culture of mathematics classroom. So, this paper suggested the role of teachers in reforming the culture of mathematics classroom. Avoiding from routine and technical teaching, the teachers should play active role in constructing mathematical understanding of students.

• Journal for History of Mathematics
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• v.32 no.2
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• pp.79-93
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• 2019

Choi Yoon Sik is a person who can not be omitted when discussing the history of mathematics in Korea. He is a mathematician who led Korean mathematics community after liberation from Japan. However, he took interests in mathematics education in middle and high school also. Choi Yoon Sik should be remembered as a leading person not only in the history of mathematics but also in the history of mathematics education in Korea. Choi Yoon Sik thought that histo-genetic principle, intuitive principle, and practical principle are important in mathematics education by help of Okura Kinnosuke's view, with hope to reform the mathematics education in Korea. He also argued that mathematics has educational values.

• Journal for History of Mathematics
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• v.12 no.2
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• pp.83-97
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• 1999

This paper analyzes the philosophy of mathematics and outlook on the mathematics education as the Ancient Greece in the history of mathematics. This study tried to find out the direction of outlook on the mathematics education in the future.

• Journal for History of Mathematics
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• v.10 no.2
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• pp.53-63
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• 1997

The paper is analyzed the variety of outlook on the mathematics education as the paradigm of the mathematics in the history of mathematics and suggested the direction of outlook on the mathematics education in the future.

• Journal of Educational Research in Mathematics
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• v.19 no.4
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• pp.493-511
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• 2009

The purpose of this thesis is to discuss the characteristic methods of Mathematics Education. However, it is not simple to find the proper research method of Mathematics Education since Mathematics Education deals with the practice of teaching and learning mathematics, as well as the topics of scholarly research on the practice. Issues on Mathematics Education might vary with the epidemical aspects, which are basic attitudes toward the knowledge and understanding about Mathematics. Thus, this thesis will discuss two questions: First, What are the distinguishing characteristics of Mathematics Education as a field of study, when compared with ones of mathematics? Second, What are the characteristic methods of Mathematics Education, when compared with ones of other academic fields? For solving those questions, this thesis starts from meanings of science and education. And it also classifies Mathematics as formal science whereas Mathematics Education as social science by showing differences between Mathematics and Mathematics Education: research subject of Mathematics targets on mathematics itself and it uses the deductive method. On the other hand, Mathematics Education research handles the practice of mathematics of students and uses plausible reasoning. Also, it will also show why Mathematics Education shares lots of aspects with social science, not with natural science, which has many different characteristics from those of social science. Many researchers have agreed that Education should be categorized into the social science but misplaced Mathematics Education and Science Education into the natural science. It is true that physics and chemistry are natural science. And also it should be said that pure science is formal science. But it should be considered that just like Education, Mathematics Education and Science Education are in the category of social science.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.631-655
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• 2015

Children's early mathematics education sets the tone for their later learning of mathematics. So the importance of early mathematics education has been emphasized day by day and there has been growing interest in it. The purpose of this study is to examine the possibility of including standards for kindergarten in mathematics curriculum and to select the specific content knowledge for designing mathematics curriculum focusing on continuity of kindergarten and first grade. To do this, continuity between kindergarten mathematics and the first grade mathematics were examined by investigating the five countries' mathematics curricula which include kindergarten level. Based on the results, the content standards of kindergarten mathematics were constituted in the categories of 'number and operation', 'geometry', 'measurement', 'pattern', and 'data and chance', following the some principles of selection. Finally, the implications for attainment of continuity between kindergarten and elementary mathematics were induced, containing the discussion of the methods for teaching and learning mathematics in the kindergarten level.

• Journal of Educational Research in Mathematics
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• v.13 no.2
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• pp.179-225
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• 2003

The purpose of this study is to revise the previous mathematics glossary Since the last mathematics glossary was published by MOE in 1937, there have been two curriculum revisions. As a result, many terms which are newly included in the curriculum are not specified in the mathematics glossary. Moreover, part of mathematics terms and the informations about mathematicians and mathematics educators in mathematics glossary are not correct. Thus the revision of the mathematics glossary is definitely necessary. To collect the opinions about mathematics terms, a large scale survey targeting mathematics education researchers and mathematics teachers was conducted and the subsequent meetings were held. Also, the studies regarding mathematics terminology were thoroughly reviewed to provide the direction of desirable mathematics terms. Reflecting all these informations, the draft of the new mathematics glossary was completed.

• Journal of Educational Research in Mathematics
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• v.21 no.4
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• pp.345-359
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• 2011

In this research, we designed an educational activities of exploring mathematics programs in a course of mathematics education in teacher's college. We divided future mathematics teachers into 8 groups and suggested 8 mathematics programs to them. Each group explored one mathematics program. We asked to future mathematics teachers exploring some cases that use effectively a mathematics program in the teaching of school mathematics. In the process of an exploring, we designed some activities of teaching and learning. We provided opportunities of long-term exploration, group learning, presentations, exercises, reflections to mathematics teachers. As a result, future mathematics teachers acquired basic knowledge on the usage of mathematics programs in school mathematics textbook. In addition, their capabilities that are needed to explore mathematics programs have been enhanced. Also they had learned the teacher's positive attitude through the activities of teaching and learning.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.369-392
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• 2023

Equity in mathematics education focuses on the relationship between social inequality caused by factors including culture and race. Equity in mathematics education has recently been recognized as one of the important issues of mathematics education and may provide grounds for setting the new direction of mathematics education for the future society. However, research on mathematics education equity in South Korea is still insufficient. The purpose of the paper is to provide implications for mathematics education research by reviewing the the literature regarding mathematics education equity. Focusing on 195 previous studies, I analyzed the significance of discussions on mathematics education equity in mathematics education, the concept of mathematics education equity, and research questions. In addition, I divided the previous studies into five categories based on their research questions: mathematics teachers, mathematics curriculum, mathematics classrooms, mathematics assessment, and socio-cultural environments surrounding mathematics classrooms. The analysis of the study are expected to provide implications in terms of new research questions and methods to domestic mathematics education researchers.

• School Mathematics
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• v.13 no.2
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• pp.345-362
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• 2011

This paper addresses mathematics content knowledge required for teaching in secondary school. Three components of mathematical knowledge are needed for teaching: (i) knowing school mathematics, (ii) knowing process of school mathematics, (iii) making connections between school mathematics and advanced mathematics. We investigated mathematics content knowledge of secondary teachers. We found that secondary mathematics teachers have a lack of understanding in solving realistic problem, reasoning and proof, and making connections between school mathematics and advanced mathematics.