• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.127-143
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• 2010

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.519-538
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• 2013

The purpose of this study, for each section of high school mathematics I help to verify the utillization of instructional class in the formation of students' academic achievement and mathematical beliefs. For this purpose we construct an experimental class and then analyse the students' change in those aspects after applying concept learning hand-out and colleage feedback on their works those students are in the experimental class. As a result of the experiment, we find that concept learning hand-out activity and colleague feedback made some significant changes on the students achievement in mathematics and mathematical beliefs. Therefore, in this study I want to solve the concrete problems are as follows. First, utilizing the concepts of mathematics tutoring lessons to improve students' academic achievement is it effective? Second, utilizing the concepts of mathematics tutoring classes does have a positive impact on students' mathematical beliefs? Third, utilizing the concepts of mathematics tutoring lessons for students what is the reaction?

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.223-223
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• 2010

이 보고서는 수학교사가 교과교육자료를 수업에 적용할 때, 각 과제(task)의 cognitive demand의 수준이 어떻게 변화하는 지 분석하고 그 변화의 요인을 추정한 연구의 일부분이다. Mathematical Tasks Framework과 cognitive demand의 수준 (Stein & Henningsen, 1996)의 이론적 틀을 토대로, 미국 초등 수학교사의 수업을 관찰하고 인터뷰 자료를 수집, 분석하였다. 또한, 교사용 지도서와 교과서 등의 교과교육자료를 분석하였다. 연구 결과, 교사의 수업과제의 cognitive demand 수준이 교과교육자료에서 제시한 수준과 다르게 나타났다.

• Journal of Educational Research in Mathematics
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• v.21 no.3
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• pp.295-311
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• 2011

The importance of problem solving in mathematics education has been emphasized and many studies related to this issue have been conducted. But, studies of problem solving in the aspect of affect domain are lacked. This study found the changing pattern of emotions that occur in process of a problem solving. The results are listed below. First, students experienced a lot of change of emotions and had a positive emotion as well as negative emotion during solving problems. Second, students who solved same problems through same methods experienced different change patterns of emotions. The reason is that students have different mathematical beliefs and think differently about a difficulty level of problem. Third, whether students solved problems with positive emotion or negative emotion depends on their attitude of mathematics. Fourth, students who thought that a difficulty level of problem was relatively high experienced more negative affect than students who think a difficulty level of problem is low experienced.

• Communications of Mathematical Education
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• v.11
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• pp.321-338
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• 2001

수학의 역사에 비하여 수학교육에 관한 연구는 비교적 짧다. 1960년대에 미국과 소련의 우주과학 경쟁이 시작되고 수학교육이 관심을 갖게 되었다. 이 후 전문 학회와 논문지가 출현하기 시작하면서 학문적으로 연구되고 발전하기 시작하였다. 한편 대학 수준의 수학교육에 관한 전문적인 연구는 뒤늦게 1990년대에 시작하였다. 한편 한국의 대학 수학교육은 현재 크게 변화하고 동요하고 있다. 대중화된 대학 교육, 수학 수강생 감소, 대학 수학교육의 개선, 7차 및 중등 교육과정 문제 대학으로 전이, 정보기술의 발전 및 활용 등으로 복잡하게 전개되고 있다. 수학교육 연구의 목적, 문제, 방법, 타당성 기준, 결과의 가치, 교육 개선 응용 등의 학문적 성격이 수학 연구와 크게 다르다. 대학 수학교육에서 새롭게 나타나고 부각되는 문제를 효과적으로 접근하기 위한 연구 방향을 제시한다. 그리고 뇌 과학과 인지 과학 연구에 바탕을 둔 실제 학습 모형에 응용할 수 있는 대학 수학 학습 이론을 소개한다.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.133-152
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• 2004

In this paper, we discuss students' conceptual development of eigen value and eigen vector in differential equation course based on reformed differential equation using the mathematical model of mass spring according to historico-generic principle. Moreover, in setting of small group interactive learning, we investigate the students' development of mathematical attitude.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.243-262
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• 2017

This study has its purpose on improving mathematic education by analyzing the effects of the teaching and learning process which adopted 'FOCUS Problem Solving Steps' on student's mathematical problem solving ability and their mathematical attitude. The result is as follows. First, activities through FOCUS Problem Solving Steps showed positive effect on students' problem solving ability. Second, among mathematical attitudes, mathematical curiosity, reflection and value are proved to have statistically meaningful effect and from the result that analyzed changes of subject students, we could suppose that all 6 elements of mathematical attitude had positive effect. Third, by solving questions through FOCUS steps, students felt satisfaction when they success by themselves. If projects which adopted FOCUS Problem Solving Steps take effect continuously by happiness from the process of reviewing and reflecting their own fallacy and solving that, we might expect meaningful effect on students' problem solving ability. Through this study, FOCUS Problem Solving Steps had positive effect not only on students' mathematical problem solving ability but also on formation of mathematical attitude. As a result, it implies that FOCUS Problem Solving Steps need to be applied to other grades and fields and then studied more.

• School Mathematics
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• v.19 no.2
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• pp.369-384
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• 2017

Current Mathematics of CSAT(College Scholastic Ability Test) faced with preparing the test system and test items according to the new curriculum. The discuss about how to construct the items and what form of items should be set was not conducted enough. To accord with these requirements, in this study, mathematics exams for university entrance in Taiwan are investigated. We look into General Scholastic Ability Test(GSAT) and Advanced Subjects Test(AST) in Taiwan. Those exams are analyzed in terms of exam system, mathematical contents, types of items, and so on. And then on the basis of this, we discuss implications on mathematics assessment type and contents, further mathematics learning.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.567-584
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• 2013

In school mathematics, the concept of continuous functions has been intuitively taught. Many researches reported that many students identified the continuity of function with the connectedness of the graphs. Several researchers proposed some ideas which are enhancing the formal aspects of the definition as alternative. We analysed the historical developments of the concept of continuous functions and drew pedagogical implications for the intuitive teaching of continuous functions from the result of analysis.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.407-422
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• 2013

The purposes of this study are to investigate the change in the teacher efficacy beliefs of elementary pre-service teachers in mathematics during the student teaching, and to suggest the direction of the student teaching program for improving the pre-service teachers' efficacy beliefs in mathematics. For this, 93 elementary pre-service teachers participated. After the 4 weeks of practice, any changes in their teacher efficacy beliefs in mathematics were analyzed and the positive and negative causes of the differences were discussed. Consequently, their teacher efficacy beliefs in mathematics meaningfully decreased. The analysis of the cause of the decrease indicated that the teacher efficacy beliefs in teaching mathematics, rather than in the management of their mathematics class, meaningfully decreased. The meetings with the subjects also revealed that they had more negative experience with class teaching and were not able to gain much positive experience with it after all.