• Journal of the Korean School Mathematics Society
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• v.18 no.3
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• pp.335-352
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• 2015

In this paper, we selected 145 students from engineering college students who took P University's the Scholastic Level Assessment and registered the Basic Mathematics Class among the students who achieved 4th~7th grade in the mathematics B-type of the College Scholastic Ability Test. We compared and analyzed the correlation among the chosen students' grade for the College Scholastic Ability Test, test results of the Scholastic Level Assessment and mid-term test of the Basic Mathematics Subject, type of college entrance and actual condition survey of students in order to derive optimized teaching method for general mathematics subjects which can possibly increase the students' academic ability.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.297-312
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• 2009

We study the process of horizontal and vertical mathematization on the polyhedron problems through the history of mathematics, computer experiments, problem posing, and justifications. In particular, we explore the Hamilton cycle problem, coloring problem, and folding net construction on the Archimedean and Catalan polyhedrons. In this paper, we present our mathematical results on the polyhedron problems, and we also present some unsolved problems that we found. We found that the history of mathematics and mathematical experiments are very useful in such R&E exploration as polyhedron problem posing and solving project.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.4
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• pp.459-479
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• 2019

The purpose of this study is to explore the research trends and knowledge structures of 『Journal of Elementary Mathematics Education in Korea』 by applying the keyword network analysis. To do this, we analyzed the frequency of the occurrence of keywords in the journal and conducted keyword network analysis using the Krkwic program and NodeXL program. The results of the analysis are as follows. Firstly, 749 keywords were extracted from keyword cleansing process and 48 keywords, including mathematics curriculum, mathematics textbooks, school mathematics, mathematical problem solving, mathematically gifted student, etc. appeared more than five times. Secondly, the keyword network analysis showed that the keywords-mathematics textbooks, school mathematics, mathematical problem solving, mathematical communications-have high connection centrality. Finally, we provided the limitations of this study and suggested future research.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.849-862
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• 2009

The goal of this study is to present essential methods of minimalizing Korean populism in our society through the investigation of relations between populism and mathematical education which people don't easily recognize. We made a thorough analysis on the populism-generating elements and then presented mathematical methods which could convert micro-way of thinking into macro-one. We believe that an explicit investigation of the relations between Korean populism and mathematical education and the ensuing appropriate role-setting of mathematical education would help secure an essential solution for minimalizing populism in our society.

• Journal for History of Mathematics
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• v.23 no.3
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• pp.141-168
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• 2010

Mathematical communication is necessary to exchange mathematical idea among participants in teaching-learning process. The promotion of mathematical communication competence is clearly stated in many parts of the 2007 revised curriculum. As a result, mathematical communication tasks are contained in 'high school Mathematics' textbook. At this point of time when increasing importance of mathematical communication is realized, we will check over mathematical communication and analyze communicative tasks corner in 'high school Mathematics' textbook in this paper And thereby we hope this study help prepare for practical communicative tasks corner suggesting a way for invigoration of mathematical communication.

• Journal for History of Mathematics
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• v.26 no.1
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• pp.57-83
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• 2013

This study focuses on the use of mathematics notes in elementary school mathematics classes as a way of practicing mathematical communication, which was introduced as one of the main themes in the 2007 Mathematical Curriculum Revision. We investigate, through interviews with teachers and questionnaires, why and how mathematics notes are used and what are included in them, finding out various aspects of the use of mathematics notes such as the purposes, the necessities and the types. We draw some helpful suggestions for using mathematics notes in classes which has positive effects such as enhancing students' mathematical thinking and calculation ability. This study is to provide teachers with an appropriate information and basic materials on the use of mathematics notes.

• Education of Primary School Mathematics
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• v.19 no.4
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• pp.261-276
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• 2016

This study was to investigate the effects of peer mentoring on students' mathematical characters and mathematics achievements in mathematics class. The participants were twenty four 6th grade elementary students at the S school in Sungbuk-Gu, Seoul, Korea. They were divided into 4 groups according to the combination of groups. The researchers analyzed the experimental group and the control group with covariances on the sub-factors of the mathematical characters such as respect, caring, sharing, and openness. However, there were no statistically significant changes. However, with the help of the two analyses on the mathematical logs and the worksheets which had been carried out in advance by the quantitative and qualitative research methods, the researchers investigated how the peer mentoring-applied instructions would change the mathematical characters for each sub-factor in detail. In conclusion, the peer mentoring-applied instructions makes a positive contribution to the students' mathematical character and mathematical academic achievements. We suggest that peer mentoring in mathematics lessons should be adopted in various mathematical ability levels of students.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.413-430
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• 2013

The purpose of this study was to analyze mathematical storytelling in Korean elementary mathematics textbooks and propose some applications for better storytelling, Storytelling strategies were introduced for enhancing students' understanding on mathematical concepts and improving students' attitudes toward mathematics. For this study, the researcher analyzed the 2nd grade mathematics textbook that employs storytelling strategies. The results are as follows. First, current storytelling textbook chapter is designed to appreciate students' intellectual autonomy. Second, current storytelling textbook chapter includes the storytelling that helps understand mathematical concepts and exercise mathematical skills. Third, current storytelling textbook chapter is designed for enhancing students' interest and helping students' character education. The researcher suggested the followings. First, a long term field-based research should be continued for more improved mathematical storytelling materials. Second, a digital format storytelling also needs to be developed as an alternative strategy of mathematical storytelling, which reinforces interactions between teller and listeners.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.485-506
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• 2020

The purpose of this study is to analyze of the effect in Mathematics Teachers beliefs on their students beliefs by Latent Class Regression Model (LCRM). For this analysis, the study used the findings and surveys of Kang, Hong (2020) who developed a belief profile by analyzing the mathematical beliefs of 60 high school teachers and 1,850 second-year high school students learning from them through the Latent Class Analysis (LCA). As a result It was observed that 'Nature of Mathematics', 'Mathematic Teaching' and 'Mathematical Ability' of mathematics teachers beliefs influence the mathematical beliefs of students. The teacher's belief of 'Nature of Mathematics' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Mathematics Learning'. The teacher's belief of 'Teaching Mathematics', 'Mathematical Ability' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Self-Concept'. The results of this study can give a preview of the phenomenon in which teacher's mathematical beliefs are reproduced into student's mathematical beliefs. In addition, the results of observation of this study can be used to the contents that can achieve the purpose of reorientation for mathematics teachers.