• Journal for History of Mathematics
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• v.24 no.3
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• pp.109-143
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• 2011

Augustus De Morgan became to be deeply interested in the education of pure mathematics since he came to teach in UCL because of the specific nature of natural philosophy lectures, the academical knowledge and reasoning powers of the students, and the negative attitudes of London society on mathematics. During his long tenure, he really tried his best to make his students understand the important concepts and the principles of pure mathematics, and logically explain the processes of inducing and proving the laws of pure mathematics. When he could not stay as a mere researcher, he had to concern himself with and pay attention to the problems of educating students. And then his teaching style was constructed in a specific way by the various attitudes about mathematics, the boundary relationship between the adjacent academical branches, and the social and systematic nature of UCL.

• Education of Primary School Mathematics
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• v.25 no.4
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• pp.329-341
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• 2022

Data collection is crucial to the process of statistical problem solving since it influences the quality of statistical data. However, there is little instruction on data collection in the Korean mathematics curriculum. In this study, we examined how the data were collected and how the data collection method was taught in the Korean mathematics textbooks for 3rd and 4th grades. As a result, the data appeared in these textbooks were collected by using a variety of methods, including surveys, experiments, observations, and secondary data collections. There were not enough instructions on experiments and observations, compared to surveys and secondary data collection. Additionally, as each textbook works with a distinct contents while teaching data collection, it is expected that there would be variations in the levels that students learn in relation to data collection. Based on these findings, we draw some discussion points to determine how to improve the mathematics curriculum in order to effectively teach data collection in the elementary school.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.371-394
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• 2013

The purpose of this study is to understand the public education system in Korea, that features many pre-taught students, and to figure out how elementary school teachers teach them. To accomplish this study, 204 elementary school teachers in Seoul participated in a survey and the frequency and percentage were made. In addition, to add more depth to this study 5 elementary school teachers had several interviews. We obtained the following results. First, elementary school teachers generally think that the situation with many pre-taught students have had a bad effect on public education and pre-taught students are drilled but cannot understand what they have learnt. They also answered that they have low morale when teaching pre-taught students. Second, a large number of elementary school teachers think the situation with many of the pre-taught students does not help the public math education system, which influences the teachers' teaching style. Teachers who answered negative on pre-taught students are running their math classes focusing on understanding math concepts and activities. On the other hand, few teachers who answered positive on pre-taught students did not care about the situation with many pre-taught students.

• Journal of Educational Research in Mathematics
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• v.23 no.1
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• pp.53-74
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• 2013

The purpose of this paper is to analyze how mathematically gifted middle school students find out the necessary and sufficient condition for a certain hyperbolic line to be parallel to a given hyperbolic line in Non-Euclidean disc model (Poincar$\acute{e}$ disc model) using the Geometer's Sketchpad. We also investigated their characteristic of mathematical thinking and analyze how they express what they had observed while they did mental experiments in the Poincar$\acute{e}$ disc using computer-aided construction tools, measurement tools and inductive reasoning.

• School Mathematics
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• v.8 no.1
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• pp.69-88
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• 2006

It is well known that the low achievement students are easily affected by the ways how the materials are organized and presented. So the studies on trying to find how those students' responses are differed according to the organization or presentation of the materials are necessary. This paper was based on the results of Korean Elementary 3 Grade Students National Diagnosis Assessment on Basic Scholastic Ability in area of mathematics. We analyzed students responses through combining the percents of correct answers with the assessment items. After that, we identified the properties of low achievement students in mathematics and presented some guides which, we thought, are helpful for improvements of mathematics textbooks and teacher guide books.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.491-503
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• 2013

In this paper we analyse how school mathematics terminologies have been changed from the syllabus period to the 2007 curriculum. For this we survey the school mathematics terminologies which have been used since the syllabus period on the 2007 curriculum basis, analyse changes in expression of those, and look through to the characteristics of mathematics terminologies for each curriculum period.

• School Mathematics
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• v.6 no.2
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• pp.119-134
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• 2004

China becomes more and more important for Koreans in political and social aspects as well as in educational aspect. However, there hasn't been any study regarding the mathematics curriculum of China. Thus, it is necessary to introduce the recent mathematics curriculum of China, compare the curriculum of China with that of Korea, and find the features of the curriculum. Several characteristics of the mathematics curriculum of China were identified; 1) mathematics strands were combined, 2) condensed and linear structure of contents, 3) providing examples for mathematics topics stated in the curriculum, and etc. Based on these characteristics, some implications were elicited for the next mathematics curriculum revision in Korea.

• Journal of the Korean School Mathematics Society
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• v.13 no.2
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• pp.289-301
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• 2010

This study discovered that instructional objectives of graphs which are dealt with in Math I of the revised curriculum are not matched with those of Discrete Mathematics in the 7th Curriculum. Based on the findings, this study analysed didactic transposition method of trail in graph and matrix of Math I and students' understanding about trail. Then this study discovered that though the concept definition of trail in Math I of the revised curriculum, some textbooks and students tend to consider it as the path. The concept definition of trail is significant in systems that deal with Euler Circuits(Euler Closed trail) and Hamilton Cycle. Then it is not easy to find the value of trail in Math I of the revised curriculum.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.371-402
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• 2016

The aim of this study is to compare mathematics curriculum among the United States, Singapore, England, Japan, Australia and Korea and offer suggestions to improve mathematics curriculum of Korea in the future. In order to attain these purposes, the analysis was conducted in many aspects including mathematics education system, mathematics courses, mathematics contents, assessment syllabus for university entrance examination and the construction principles of mathematics curriculum. In the light of the results of this study, our suggestions for improving mathematics curriculum of Korea are as follows: revising the contents of analysis, geometry, probability and statistics strands; organizing curriculum based on spiral construction principle; providing various opportunities to select mathematics courses according to students'career; reflecting the contents of their courses in university entrance examination.

• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.269-284
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• 2013

The aim of this paper is to explore and understand, using in-depth interviews, the participant's motivation for becoming a math teacher, ways of dealing with university math knowledge and private tutoring experiences. In addition a larger aim is to understand how the individual's interest in mathematics and turing are linked to his/her larger personal tendencies contrasting secondary and university math learning. In-depth interviews were conducted with 6 pre-service teachers' subjective experiences focusing on motivation and feelings on mathematical knowledge and private tutoring. The output of this research consists of 3 cases, highlighting and conceptually developing the specific aspects under study; different ways in which individuals' involvement with the math learning and tutoring that might be connected with the ways of becoming teachers. Larger aspects of pre-service teachers' subjective experiences were sketched by contrasting the inner aspects of the individuals. Several suggestions were presented at the end with the possible research directions for math education.