• Journal of Elementary Mathematics Education in Korea
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• v.10 no.1
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• pp.1-19
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• 2006

It is generally accepted that fostering creative thinking is a core in mathematics education and accumulating research products on that topic is really needed. In this study, I hoped to investigate and verify that in mathematics education it was possible to cultivate creative thinking through various and divergent activities, For this purpose, I delat with some illustrations, in which students learned mathematics through the operational activities using teaching tools, problem solving and problem posing activities, and finally they seemed to foster creative mathematical thinking. In conclusion of this paper, I have suggested that in math education those activities should be used to cultivate students' creative thinking in kindergarten or early elementary school. Also I asserted that it is urgently need to store up research products about various materials and methods for those mathematics teaching and learning.

• Communications of Mathematical Education
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• v.29 no.2
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• pp.215-239
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• 2015

A goal of this study is figuring out how fraction learning centered on various representation activities influences the fraction comprehension and mathematical attitudes. The study focused on 33 4th-grade students of B elementary school in Seoul. In the study, 15 fraction learning classes comprising enactive, iconic, and symbolic representations took place over 6 weeks. After the classes, the ratio of the students who achieved relational understanding increased and the students averagely recorded 90 pt or more on the fraction comprehension test I, II and III. Two-dependent samples t-test was conducted to analyze a significant difference in mathematical attitudes between pre-test and post-test. On the test result, there was the meaningful difference with 0.01 level of significance. To conclude, the fraction learning centered on various representation activities improves students' relational understanding and fraction understanding. In addition, the fraction learning centered on various representation activities gives positive influences on mathematical attitudes since it increases learning orientation, self-control, interests, value cognition, and self-confidence of the students and decreases fears of the students.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.393-417
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• 2023

The necessity of this study was to improve academic achievement and math attitudes through leveled reciprocal peer learning, and the specific purpose was as follows. First, each unit seeks to select learning methods and contents for each level of class for reciprocal peer learning, second, develop activity sites for each level through curriculum analysis, and third, improve academic achievement and math attitudes through classes that apply reciprocal peer learning activities. The study was conducted on 60 second graders of 00 High School in 00 Metropolitan City. Two classes were selected for the midterm exam results for the first semester of the second grade. Class 1 was divided into the experimental group and the other class 1 was divided into the comparative group, and 13 classes were conducted for about 2 months from May 1 to July 4, 2020. The experimental group (30 students) was a class that applied leveled reciprocal peer learning activities, and the comparative group (30 students) was a class that was taught based on traditional textbooks. As a result of this study, first, in this study, it was possible to improve academic achievement and math attitudes by setting learning contents for each unit and applying reciprocal peer learning activities for each level. Second, the experimental group taught by applying leveled reciprocal peer learning activities was effective in academic achievement and math attitudes compared to the comparative group taught based on traditional textbooks to students in the upper, middle, and lower groups. Third, in the class applying leveled reciprocal peer learning activities, low-level students who were neglected in math classes were also interested in the class and actively participated in it, showing improvement.

• Journal of the Korean School Mathematics Society
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• v.11 no.1
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• pp.69-96
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• 2008

The purpose of this paper is to perceive the problems of current geometry education in the middle school mathematics, to develop some learning materials fitted for the mathematising activities based on Freudenthal's learning theories and to analyze the mathematising process followed by teaching-learning activities. For this purpose, we design activity-oriented learning materials for geometry based on Freudenthal's learning theories, and appropriate teaching-learning models are established for the middle school geometry at the 8-NA stage level according to the theory of van Hiele's geometry learning steps. After applied to the practical lessons, the effects of mathematical activities are analyzed.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.527-544
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• 2015

Storytelling is one of the important features in the elementary school mathematics textbooks of the 2009 revised curriculum. In particular, the whole 'comparing objects' unit in the first grade mathematics textbook is based on storytelling method. In this study, we investigate the contents of the stories and the mathematical activities in the 'comparing objects' unit from both mathematical and character educational viewpoints. Based on our investigations, we analyze educational problems on teaching and learning mathematics as storytelling, suggest reconstructed alternative mathematical activities, and drew their educational implications.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2006.04a
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• pp.173-188
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• 2006

전남대학교 과학영재교육원은 1998년부터 광주광역시와 전라남도 지역의 중학생들을 대상으로 수학영재 교육을 실시하고 있다. 본 보고서에서는 2002년${\sim}$2005년에 전남대학교 과학영재교육원 수학반에서 수학영재교육에 사용했던 프로그램에 대해 수학 영재의 특성을 고려하여 프로그램의 구성체제와 주제별 내용 및 활동, 프로그램의 특징을 분석하고 주제별 프로그램에 패한 학생들의 정의적 태도를 설문하여 그 결과를 분석함으로써, 현재의 수학영재교육을 더욱 개선하고 실제 교육 현장에 수학영재교육을 효과적으로 실시할 수 있는 프로그램을 만드는데 참고할 수 있는 자료로 삼고자 한다.

• Education of Primary School Mathematics
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• v.14 no.2
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• pp.147-164
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• 2011

The national mathematics curriculum revised in 2007 emphasized students' mathematical communication and the curriculum is currently applied to all grades. In order to promote students' mathematical communication, the teacher needs to understand full implications and apply them to instruction. This study examined how teachers employed mathematical communication in their instruction and how they perceived it. The results showed that teachers had lack of understanding of student-centered instruction and mathematical communication. They also did not use various representation activities and discussion-based activities as expected. The number of students per classroom was reported by teachers as a main barrier to promote mathematical communication, but it did not make substantial differences in practice. Building on the results, this paper included implications for improving teachers' conception of mathematical communication.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.3
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• pp.221-240
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• 2018

In this study, we focus on the classifying and representing data in the elementary mathematics curriculum for 1st and 2nd grades which have been rarely addressed in the previous studies. We analyze the significance of classifying and representing sata in terms of statistical problem solving and variability as the core of statistical literacy. As a result, the classifying and representing data are important for students to recognize the variability which is ubiquitous in the data and to construct distribution of data, respectively. They are reflected in the 2015 revised mathematics curriculum as the statistical literacy for addressing data. We suggest some implications to teach the classifying and representing data as the practice of statistical literacy education in their statistics classes for 1st and 2nd grades.

• School Mathematics
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• v.11 no.3
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• pp.527-546
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• 2009

This study was designed to gain insights into instrumental genesis process of CAS in Korean high school students and to explore its practical potentials in secondary mathematics education. Two activities, such as Concept-Centered Mathematics Activity based on CAS and Problem Solving Activities, were constructed and executed to 10th Grade seven students for twelve class hours. The finding on the students' activities are as follows : it is meaningful in mathematics education, especially in algebra education, in that the CAS based concept centered mathematics activity offers great opportunities to deal with high-qualified application problems. The problem solving activities based on the instrumented CAS may have an influence on the sequence of mathematics curriculum, e.g. the optimization problems may precede the calculus problems such as derivatives in high school. The results of this study to investigate the instrumental genesis of CAS in mathematical activities will give insights into the secondary mathematics curriculum to prepare the CAS in Korea.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.3
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• pp.599-617
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• 2011

This study is aimed at finding some drawbacks of current elementary mathematics textbooks and to give suggestions for ongoing new textbooks according to 2009 revised curriculums, by comparing and analyzing Korean textbooks and chinese textbooks of People's Education Press. The areas are confined to number concepts, addition and subtraction for comparative analyzing. The results are followings: Korea textbooks have more verbal expressions, designated instructive activities for students to do, similar algorithm applied for enlarging mathematical concepts, bigger number concepts and number usage of operations, and monotonous number sense activities. Therefore Korean textbooks, compared to China's, is more weaker in areas such as encouraging student's interest, in challenging mathematics, and in forming fundamental mathematical concept.