• Journal of Elementary Mathematics Education in Korea
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• v.20 no.4
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• pp.563-581
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• 2016

Studies on meta-affect in problem solving tried to build similar structures among affective elements as the structure of cognition and meta-cognition. But it's still need to be more systematic as meta-cognition. This study defines meta-affect as the connection of cognitive elements and affective elements which always include at least one affective element. We logically categorized types of meta-affect in problem solving, and then observed and analyzed the real cases for each type of meta-affect based on the logical categories. We found the operating mechanism of meta-affect in mathematical problem solving. In particular, we found the characteristics of meta function which operates in the process of problem solving. Finally, this study contributes in efficient analysis of meta-affect in problem solving and educational implications of meta-affect in teaching and learning in problem solving.

• Journal of Educational Research in Mathematics
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• v.27 no.1
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• pp.51-67
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• 2017

Analogical reasoning is a mathematically useful way of thinking. By analogy reasoning, students can improve problem solving, inductive reasoning, heuristic methods and creativity. The purpose of this study is to analyze the analogical reasoning of preservice mathematics teachers while constructing quadratic curves defined by eccentricity. To do this, we produced tasks and 28 preservice mathematics teachers solved. The result findings are as follows. First, students could not solve a target problem because of the absence of the mathematical knowledge of the base problem. Second, although student could solve a base problem, students could not solve a target problem because of the absence of the mathematical knowledge of the target problem which corresponded the mathematical knowledge of the base problem. Third, the various solutions of the base problem helped the students solve the target problem. Fourth, students used an algebraic method to construct a quadratic curve. Fifth, the analysis method and potential similarity helped the students solve the target problem.

• Education of Primary School Mathematics
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• v.15 no.2
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• pp.59-75
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• 2012

This study aims to find whether the solutions for well-structured problems learned in school can be transferred to the moderately-structured problem and ill-structured problem. For these purpose, research questions were set up as follows: First, what are the patterns of changes in strategies used in solving the mathematics problems with different level of structuredness? Second, From the group using and not using proportion algorithm strategy in solving moderately-structured problem and ill-structured problem, what features were observed when they were solving that problems? Followings are the findings from this study. First, for the lower level of structuredness, the frequency of using multiplicative strategy was increased and frequency of proportion algorithm strategy use was decreased. Second, the students who used multiplicative strategies and proportion algorithm strategies to solve structured and ill-structured problems exhibited qualitative differences in the degree of understanding concept of ratio and proportion. This study has an important meaning in that it provided new direction for transfer and analogical problem solving study in mathematics education.

• Journal of the Korean School Mathematics Society
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• v.24 no.2
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• pp.191-216
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• 2021

This study analyzes how statistical literacy is implemented along with the statistical problem-solving process as described in the Statistical Estimation Unit of the textbook by the 2015 revised mathematics curriculum. The analytical framework was developed from the literature, and consists of 'context', 'variability', 'mathematical and statistical knowledge', 'using of technological instruments', 'critical attitude', and 'communication'. From the perspective of the statistical problem-solving process, the analysis revealed that many tasks equivalent to 'Analyzing Data' but lacked tasks related to 'Interpreting Results' and 'Formulating Questions'. As a result of analyzing the reflection of each element of statistical literacy, 'mathematical and statistical knowledge' was the most common task, but 'critical attitude' and 'using of technological instruments' were rarely dealt with. Based on the results of this textbook analysis, it was intended to provide implications for improving the curriculum and the development of textbooks for the growth of statistical literacy.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.289-303
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• 2019

The aim of this study was to seek for the purpose of social justice of mathematics education based on the understating of a critical race perspectives. This paper is consisted of two parts. First, I analyzed literatures of mathematics education for social justice in order to understand the discussions and concerns related to the topic. Second, I used the selected tenets of critical race theory to examine mathematics education for social justice scholarship. From the analysis, I concluded the current capacity of mathematics education for social justice toward addressing race issues in a mathematics classroom.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.3
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• pp.619-640
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• 2011

The study aims the introducing the items for the assessment of mathematical thinking including mathematical reasoning, problem solving, and communication and the analyzing on the responses of the 5th grade pupils. We categorized the area of mathematical reasoning into deductive reasoning, inductive reasoning, and analogy; problem solving into external problem solving and internal one; and communication into speaking, reading, writing, and listening. And we proposed the examples of our items for each area and the 5th grade pupils' responses. When we assess on pupil's mathematical reasoning, we need to develop very appropriate items needing the very ability of each kind of mathematical reasoning. When pupils solve items requesting communication, the impact of the form of each communication seem to be smaller than that of the mathematical situation or sturucture of the item. We suggested that we need to continue the studies on mathematical assessment and on the constitution and utilization of cognitive areas, and we also need to in-service teacher education on the development of mathematical assessments, based on this study.

• Journal of the Korean School Mathematics Society
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• v.19 no.4
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• pp.357-371
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• 2016

The purpose of this study was to decide the task space and Rating Scheme of task difficulty in complicated mathematical modelling situations. One of main objective was also to conform the validation of Rating Scheme to determine the degree of difficulty by comparing the student performance with the statement of the theoretical model. In spring 2014, the experimental setting was in Modelling Course for 38 in-service teachers in mathematics education. In conclusions, we developed the Model of Task Space based on their solution paths in mathematical modelling tasks and Rating Scheme for task difficulty. The Validity of Rating Scheme to determine the degree of task difficulty based on comparing the student performance gave us the meaningful results. Within a modelling task the student performance verifies the degree of difficulty in terms of scoring higher using solution approaches determined as easier and vice versa. Another finding was some relations among three research topics, that is, degree of task difficulty on rating scheme, levels of students performance and numbers of specific heuristic. Those three topics showed the impressive consistence pattern.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.17-32
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• 1997

Open education is carried out and studied in both phases of theory and practice in Korean elementary schools in these days. 1 introduced three open teaching and learning methods which we can use practically in elementary school mathematics education. They are the teaching and learning by open-end-approach, From problems to problems and Problem posing. First, I illustrate each meaning of three teaching and learning methods. Next, I presented the concrete plans of each teaching and learning method, and exhibited some examples of students' own works.

• 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.

• Proceedings of the IEEK Conference
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• 1998.06a
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• pp.697-700
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• 1998

스테레오 영상으로부터 3차원 거리 정보를 추출하는 일은 수학적으로 불량 설정 문제(ill-posed problem)이다. 본 논문은 스테레오 정합을 정칙화(regularization)와 최소화(minimization) 문제로 설정하여 변이 (disparity)를 구한다. 최소화할 에너지 함수로 기울기 벡터(gradient vector)를 사용하여 촤우 카메라의 차이에 대응하고, 영상에 존재하는 깊이 불연속점(depth discontinuties)을 찾아내어 이를 보존하면서 정칙화를 실행하는 스테레오 정합 알고리즘을 제시한다. 다양한 스테레오 영상에 대한 실험 결과를 함께 나타내었다.