• The Mathematical Education
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• v.49 no.1
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• pp.15-37
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• 2010

In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

• Journal of the Korean School Mathematics Society
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• v.21 no.3
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• pp.287-301
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• 2018

The purpose of this study was to investigate the effect of individual teaching strategies on mathematics achievement and mathematics attitude of students with low achievement in mathematics. As a result, individual instruction group showed higher mathematics achievement and attitude toward mathematics than comparative group. In the experimental group, there was a correlation between pre-mathematics achievement and post-mathematics achievement. Also, there was a correlation between post-mathematics attitude and post-mathematics achievement. Within the comparison group, there was a correlation between pre-mathematics attitude and post-mathematics attitude. Also, there was a correlation between post-mathematics attitude and post-mathematics achievement.

• Research in Mathematical Education
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• v.13 no.2
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• pp.109-122
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• 2009

This study investigates the change in two theoretical constructs, attitudes toward mathematics and mathematics self-efficacy, among college students involved in a learning community model. The case of this study was a developmental mathematics class offered at a historically black college located in the southeastern United States. Subjects included 31 students enrolled in an introductory mathematics course, some of whom participated in a learning community (treatment group). The participants completed mathematics attitudes and mathematics efficacy instruments twice: at the beginning of the semester and again at the end. Data was analyzed using descriptive statistics and a non-parametric statistic. The results showed that students' attitudes toward mathematics and mathematics self-efficacy are strongly correlated; the mathematical problem-solving efficacy changed significantly over time and it is significantly higher in the treatment group than in the control group; and the treatment group produced better outcomes. These findings indicate that a learning community model can increase students' mathematics self-efficacy beliefs. It is recommended that mathematics self-efficacy and attitudes toward mathematics be measured over an extended period of time when a learning community is implemented.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.261-267
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• 2010

Both history of mathematics and education of mathematics is old subject. The question arises wether can these two important subjects can help each other or not. Unfortunately this idea made mathematics society into two groups; one has idea that history of mathematics can help education of mathematics and other group has idea that not only history of mathematics can not help education of mathematics but also it makes some confusion. In this article the author is going to do some comparison and take some conclusion that history of mathematics can make education of mathematics so active and interesting.

• Journal for History of Mathematics
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• v.31 no.5
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• pp.235-250
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• 2018

The history of mathematics is an important part of Chinese highschool mathematics curriculum. The current 2003 revised curriculum in China refers directly to the history of mathematics and presents it as one of the optional series. Moreover, they publish separate history textbooks for mathematics according to the 2003 revised curriculum. The importance of the history of mathematics in Chinese highschool curriculum, which was revised in 2017, has increased. This study aims to analyze the contents of the highschool curriculum and mathematics history textbooks, which were revised in 2003. Based on the results of analysis, we make suggestions on the use of mathematics history for teaching mathematics in Korea.

• The Mathematical Education
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• v.42 no.4
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• pp.465-480
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• 2003

The main purpose of this work is to propose programs of mathematics education and mathematics history courses for the department of mathematics education of teacher training universities. Foundation of Mathematics Education, Mathematics Teaching and Learning Theories, Mathematics Problem Solving, Analysis and Evaluation of Mathematics Teaching Materials and Mathematics History are discussed in this article.

• The Mathematical Education
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• v.44 no.4 s.111
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• pp.603-625
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• 2005

Identity is the concept which approaches individuals' affective problems with the social and cultural view. The previous studies on the problems, studied the attitudes, beliefs, or emotions while they restricted the problems to teachers or students' private problems. Otherwise, identities focus on individuals which participate to any community and share its social practices(Mclead, 1994). This study purposed to get an understanding on the teaching and learning mathematics in elementary mathematics classroom with an ethnographic view, while we consider mathematics as a kind of social practices, and mathematics classrooms as communities of practice. We analysed teacher's identities on mathematics and teaching mathematics depending on her responses of the questions as following: How does she think about mathematics, what are the instructional goals in her mathematics classroom, how do students learn mathematics in her mathematics classroom. In addition, we analysed students' identities on mathematics and learning mathematics depending on their responses of the questions as following: What do students think of mathematics, do they like mathematics, why do they study mathematics, how do they feel their mathematics classroom(describe your classroom) and themselves in it(describe yourselves in your classroom), what are their duties and what do they do actually in their mathematics classroom.

• The Mathematical Education
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• v.46 no.4
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• pp.389-406
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• 2007

The purpose of this study is to understand the learning mathematics in elementary mathematics classroom by considering mathematics as a kind of social practices and mathematics classroom as a kind of community of practice. The research questions of this study are as followings: 1) Do the identities which teacher has on mathematics and teaching mathematics, influence the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics? 2) Do the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics, influence the identities which teacher has on mathematics and teaching mathematics? This study was based on ethnomethodology. It was executed participation observations, interviews and surveys with teacher and 5 graders to collect the data for the social practices formed their classroom and their identities, and was analyzed the interaction between the social practices of mathematics classroom and teacher and students' identities. We found the scenes that teacher's identities influenced the social practices of mathematics classroom and students' identities, and also the scenes that the social practices of mathematics classroom and students' identities influenced teacher's identities. So, we could know that there existed the interaction between the social practices of mathematics classroom and teacher and students' identities.

• Journal for History of Mathematics
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• v.14 no.1
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• pp.83-100
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• 2001

The paper analyzes the philosophy of mathematics and outlook on the mathematics education as the philosophy of mathematics in the history of mathematics. We have found that various views of the human society have led us to the various philosophy of mathematics. This change of philosophy have important implications to the didactics of mathematics. This study tries to find out the direction of outlook on the mathematics education in the future.

• Journal for History of Mathematics
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• v.15 no.2
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• pp.1-14
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• 2002

The paper is analyzed the crisis of mathematics for paradoxes in mathematics, also its process of conquest in the history of mathematics. We have found that various views of the infinity and infinitesimal in the history of mathematics. This study be tried to find out the process development of mathematics on passing through a crisis conquest of mathematics for contradictions in the hi story of mathematics.