• Education of Primary School Mathematics
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• v.18 no.3
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• pp.203-216
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• 2015

This study analyzed changes of representations which had come up in the problem-solving process of math-gifted 6th grade students that ACODESA had been applied. The class was designed on a ACODESA procedure that enhancing the use of varied representations, and conducted for 40minutes, 4 times over the period. The recorded videos and interviews with the students were transcribed for analysing data. According to the result of the analysis, which adopted Despina's using type of representation, there appeared types of 'adding', 'elaborating', and 'reducing'. This study found that there is need for a class design that can make personal representations into that of public through small group discussions and confirmation in the problem-solving process.

• Journal of Educational Research in Mathematics
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• v.15 no.4
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• pp.445-459
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• 2005

Statistics education is considered within the mathematics curriculum and, thus, can be integrated into other areas of mathematics. However, statistical concepts and thinking skills have to be considered as very different from those of other areas. It is possible to make statistics more meaningful for the learner by making definitions or explanations of concepts in textbooks more clear and consistent. In 'Math I' and 'Probability & Statistics' of the 7th curriculum, the definitions of sample standard deviation are different, which might confuse students. In this study, firstly, some issues relevant to sample standard deviation concept are discussed through the analysis in terms of didactical situation and curriculum. Secondly, the characteristics of sample standard deviation concept as a scholarly knowledge are examined. Finally, the characteristics of didactic transposition of sample standard deviation concept in Japanese, American, and British textbooks are investigated and some suggestions are elicited.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.153-166
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• 2017

164 preservice elementary teachers' decision and enactment of their knowledge of fraction multiplication were examined in a context where they were asked to write a story problem for a multiplication problem with two proper fractions. Participants were selected from an entry level course and an exit level course of their teacher preparation program to reveal any differences between the groups as well as any recognizable patterns within each group and overall. Patterns and tendencies in writing story problems were identified and analyzed. Implications of the findings for teaching and teacher education are discussed.

• Journal of the Korean School Mathematics Society
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• v.18 no.2
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• pp.187-201
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• 2015

The purpose of this study was to examine the effects of using process-based writing poems in the elementary mathematics classrooms. For this study, we chose 128 elementary school students to examine their mathematical achievements and attitude towards mathematics when using process-centered writing poems in the elementary mathematics classrooms. Process-based mathematics and writing programs developed mainly on the geometry units were composed of four levels, idea generation, idea selection, use and idea organization grouped into similar sections in order to separate into two sections. The results of the practice of this study's problem can be summarized as follows. First, the process-based mathematics and writing activity of geometry had a positive impact on academic achievement in mathematics. Although there was not a significant difference in the fourth and fifth grades, significant differences in the fifth and sixth grade were found. Second, in regards to attitudes in mathematics, process-based mathematics and writing activities had a positive impact. In particular, the improvement of mathematical attitudes was evident in all grades. It confirmed the effective facilitation of interest and enjoyment towards learning mathematics by 4th, 5th and 6th graders who had undertaken these mathematics classes.

• School Mathematics
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• v.19 no.1
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• pp.189-208
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• 2017

The purpose of this study is to capture and explain the roles that signs and attention play in the fraction learning process, through a previous study that employs Deleuze's perspective on sign and the role of attention. From this case study of elementary school students, we found that signs are a prerequisite for learning and that learning takes place as different forms of attention shifts. The various types of semiotic resources used by teachers and students have been found to play an important role in coordinating collective attention between teachers and students.

• Journal for History of Mathematics
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• v.22 no.2
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• pp.69-80
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• 2009

The computer programming is a useful tool to cultivate the logical thinking and encourage the problem solving competence. With the purpose of specifying the computer programming, this study mainly concerns with what the computer programming is in the Math/Stat education, and the role of the computer programming when it regards the problem solving procedure. This provides the possibility of Math/Stat major to be specified with the connection of IT related courses, and eventually the specified Math/Stat major enables more qualified graduates to be educated.

• School Mathematics
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• v.5 no.1
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• pp.43-58
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• 2003

This study intends to compare the structure of contents and the way of developing concepts in mathematics textbooks of south and those of north Korea. After thorough investigations of the textbooks from south and north Korea, the following three characteristics were identified. First, the mathematics textbooks of south Korea tends to spread out contents across several grades, while those of north Korea have a tendency of centralization in terms of locating contents Second, in the textbooks of South Korea, mathematics concepts are permeated through real world situations, and students gradually acquire those concepts mostly through activities. This is different from the approach of the north Korean textbooks in which various problems play a key role in explaining concepts. Third, the main strategy of introducing contents in the textbooks of south and that of north Korea corresponds to 'guidance' and 'explanation' respectively. Exploratory questions leading to the concepts are more emphasized in the textbooks of south Korea, on the other hand, meaningful explanations play an important role in the textbooks of north Korea.

• Journal of Elementary Mathematics Education in Korea
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• v.3 no.1
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• pp.75-92
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• 1999

Many educators say that one of the key theory which is widely accepted teaching-learning process in the 7th mathematics curriculum is constructivism. They believe constructivism is very powerful as a background theory in teaching-learning mathematics and in this point of view, each student can construct knowledge by himself in the inner world. Therefore, the aspect of teaching-learning methods in the 7th mathematics curriculum focused on inquiry learning, self-directed learning, cooperative learning. Through this methods, the 7th mathematics text also composed of ease, interesting and dynamic activity oriented subjects. And constructive teaching-learning methods in mathematics is implemented variously by those whom attracted in constructivism. Thus, the purpose of this study is to build up a model that is required to systematize teaching-learning process in mathematics as a guideline for teachers. Another purpose of this study is to make clear that the presented model is appropriate process for teaching-learning in mathematics.

• Journal of Educational Research in Mathematics
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• v.22 no.3
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• pp.353-370
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• 2012

Since the 7th revision of national mathematics curriculum, it has been recommended that the concept of function be introduced based on the dependent relation between variables. The 2009 revision of national mathematics curriculum shares this way of conceptualizing function. In this context, this study analyzes the effect of this revision of the mathematics curriculum on middle school students' conceptualization of function. To be specific, this study investigates the characteristics of students' conceptualization of function through task-based in-depth interviews. It also investigates how teachers introduce function through interview. The analysis show that the middle school students had a lack of understanding about dependent relation in function. The teachers also had difficulties in teaching concept of function based on dependent relation. In the conclusion, this study makes some suggestions for teaching the function in middle school classes.

• Journal for History of Mathematics
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• v.1 no.1
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• pp.86-89
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• 1984

1960년대를 기점으로 하여 일어난 수학 교육현대화 운동은 범세계적인 문화현상으로서 발전하는 방향으로 철저히 진행되어야 했으나 교재내용을 지나치게 비현실적으로 도입함에 따라 교육의 현장에 선교사의 창조적 노력보다는 무비판적인 수학교육이 됨으로써 원래의 수학교육목표와는 달리 진도에만 급급하다. 현실적인 요인으로서 중등학교 진학률의 증가 및 평준화에 대한 원인도 있겠지만 시험에만 연결되는 교육에 이상적인 논리주의 구조주의 적인 수학의 도입도 적지않은 문제 요인으로 되어 있다. 앞으로 교과과정의 개선이 있겠지만, 우선 지도방법에 있어서 새로운 방법론이 시도되어야 할 것이다. 본 논문에선 학생들이 이해할 수 있는 범위내에서 수학사적 자료를 도입하여 수학의 역사 및 수학의 사상적 배경등에 접할 수 있는 기회를 주어 교과내용에 흥미를 유발하고 수업내용을 이해하는데 도움을 주는 방법을 모색하려는 것이다.