• 한국학교수학회논문집
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• 제9권1호
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• pp.1-17
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• 2006

현재 학교수학이 추구하는 목표는 수학의 기본적인 지식과 기능을 습득하고 수학적으로 사고하는 능력을 길러 실생활의 여러 가지 문제를 합리적으로 해결할 수 있는 능력과 태도를 기르는 것이다. 이에 부합하기 위해서 본 연구는 협동학습 모델 중 개별화 학습프로그램이 큰 장점인 TAI 모델과 특별한 소집단 성적 산출로 인해 모든 소집단 구성원이 소집단 성공에 기여할 수 있다는 장점을 가지고 있는 STAD 모델을 혼합하여 새로운 모델을 제시하였다. 이 새로운 혼합모델을 학교 현장에 적용하여 학습자의 문제해결능력 및 정의적 영역에 있어서 어떤 영향을 주는지 알아보았다.

• East Asian mathematical journal
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• 제23권3호
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• pp.361-370
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• 2007

The notion of problem-solving in mathematics education effects mathematics teachers notice and its importance in mathematics is getting better. The purpose of this thesis is to consider the mathematical reasoning for improving the ability of problem solving. It is necessary that notion, enforcement method, procedure and evaluation standard of performance assessment should be explained to students. The teachers, improvements of specialty for class and evaluation as well as systematic reeducation for performance assessment are essential.

• 한국수학교육학회지시리즈A:수학교육
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• 제39권1호
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• pp.49-58
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• 2000

The purpose of this study is to investigate how to teach algorithms in mathematics class. Until recently, traditional school mathematics was primarily treated as drill and practice or memorizing of algorithmic skills. In an attempt to shift the focus and energies of mathematics teachers toward problem solving, conceptual understanding and the development of number sense, the recent reform recommendations do-emphasize algorithmic skills, in particular, paper-pencil algorithms. But the development of algorithmic thinking provides the foundation for student's mathematical power and confidence in their ability to do mathematics. Hence, for learning algorithms meaningfully, they should be taught with problem solving and conceptual understanding.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제2권1호
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• pp.37-52
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• 1998

The purpose is this study is to investigate the children's, parents's, teachers consciousness to the use of calculator in mathematics loaming and to analyze the effect of the problem solving and computation ability. The results obtained by this research are as follows： (1) Most adults using calculator by computation tool. but they believed that if children use calculator, computation abilities might be reduced. (2) By using the calculator, We can do the followings ： \circled1 to expand the computational ability from written computation to both mental computation and computational estimation, \circled2 to reinforce the problem solving abilities, \circled3 to obtain the interest and the curios on mathematics loaming. Therefore, we must endeavor actively for the broad usage of calculator in the mathematics class

• 한국수학교육학회지시리즈A:수학교육
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• 제57권3호
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• pp.289-309
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• 2018

There has been a gradually increasing focus on adopting mathematical modeling techniques into school curricula and classrooms as a method to promote students' mathematical problem solving abilities. However, this approach is not commonly realized in today's classrooms due to the difficulty in developing appropriate mathematical modeling problems. This research focuses on developing reformulation strategies for those problems with regard to mathematical modeling. As the result of analyzing existing textbooks across three grade levels, the majority of problems related to the real-world focused on the Operating and Interpreting stage of the mathematical modeling process, while no real-world problem dealt with the Identifying variables stage. These results imply that the textbook problems cannot provide students with any chance to decide which variables are relevant and most important to know in the problem situation. Following from these results, reformulation strategies and reformulated problem examples were developed that would include the Identifying variables stage. These reformulated problem examples were then applied to a 7th grade classroom as a case study. From this case study, it is shown that: (1) the reformulated problems that included authentic events and questions would encourage students to better engage in understanding the situation and solving the problem, (2) the reformulated problems that included the Identifying variables stage would better foster the students' understanding of the situation and their ability to solve the problem, and (3) the reformulated problems that included the mathematical modeling process could be applied to lessons where new mathematical concepts are introduced, and the cooperative learning environment is required. This research can contribute to school classroom's incorporation of the mathematical modeling process with specific reformulating strategies and examples.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제22권4호
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• pp.471-487
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• 2008

본 연구에서는 해석학 강좌를 운영하는 과정에서 얻어진 학생들의 수학적 발명의 사례를 제시하고 분석하여, 수학적 발명과 관련된 구체적인 교수-학습 과정, 얻어진 수학적 산출물들, 이들의 수학적 의의를 기술하였다.

• 대한수학교육학회지:수학교육학연구
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• 제16권4호
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• pp.345-366
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• 2006

본 연구에서는 3차원 공간도형의 학습에 유용한 동적 기하 소프트웨어인 Cabri3D 프로그램을 논의의 대상으로 하여 이를 공학적도구의 교육적 활용이라는 관점에서 수학 문제해결지도에 바람직하게 사용하는 방안에 대하여 살펴보았다. 예비수학교사들을 대상으로 학교수학에의 Cabri3D프로그램 활용에 관한 탐구 수업을 진행한 후, 중등수학의 지도에서 문제해결력 신장을 위해 이 프로그램이 효과적으로 활용될 수 있는 구체적인 사례들을 수집하였다. 폴리아가 제시하는 문제해결의 각 단계에 Cabri3D가 보조도구로서 유용한 역할을 할 수 있는 문제 사례와 그 활용방법을 예시하면서 현장의 수학교사들이 공학적 도구를 수학교육에 활용하는 방법에 대한 바람직한 관점을 갖게 하는데 도움을 주고자 하였다.

• 한국영재학회:학술대회논문집
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• 한국영재학회 2001년도 춘계 학술세미나
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• pp.43-72
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• 2001

Identification and discrimination the mathematical giftedness must be based on it's definition and factors. So, there must be considered not only IQ or high ability in mathematical problem solving, but also mathematical creativity and mathematical task commitment. Furthermore, we must relate our ideas with the programs to develop each student's hidden potential not to settle only. This study is focused on the discrimination of the recipients who would like to enter the elementary school level mathematical gifted education program. To fulfill this purpose, I considered the criteria, principles, methods, tools and their application. In this study, I considered three kinds of testing tools. The first was KEDI - WISC personal IQ test, the second is mathematical problem solving ability written test(1st type), and the third was mathematical creativity test(2nd type) which were giving out divergent products. The number of the participant of these tests were 95(5-6 grade). According to the test, students who had ever a prize in the level of national mathematical contest got more statistically significant higher scores on 1st and 2nd type than who had ever not, but they were not prominent on the phases of attitude, creative ability or interest and willing to study from the information of the behavior characteristics test. Using creativity test together with the behavior characteristics test will be more effective and lessen the possibility of exclusion the superior.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제30권2호
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• pp.161-178
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• 2016

창의 융합 능력은 교육과정 문서상에 새롭고 의미 있는 아이디어를 다양하고 풍부하게 산출할 수 있는 수학적 과제를 제공하여 학생의 창의적 사고를 촉진시키도록 하는 것이며, 또한 수학과 이외의 타 교과나 실생활의 지식, 기능, 경험을 연결 융합하여 새로운 지식, 기능, 경험을 생성하고 문제를 해결하게 하는 것으로 규정되고 있다(교육부, 2015). 이렇듯, 최근 교육의 변화를 반영하여 수학 지식의 일방적인 전달이 아닌 학습자 스스로 개념을 구성하고 능동적으로 발전시키는 데 초점을 두고 타 교과와의 연계를 통한 문제 상황 및 이로부터의 해결은 PBL(Problem Based Learning)이 이론이 추구하는 목적과 그 역할이 부합한다고 하겠다. 본고에서는 타교과와의 연계를 통한 융합적 사고력 요소 탐색을 위한 기초 연구로서, 역사 교과를 대상으로 수학 PBL의 수업 및 평가 활동을 통하여 수학개념에 관한 이해를 돈독히 하고, 이러한 두 교과의 연계를 통해 도달 가능한 융합적 사고력 요소를 마련하는데 중점을 두고자 한다. 또한, 역사 소재를 활용한 PBL 수업 진행을 위한 문제 및 이의 수업지도안을 마련하여 제시하고자 한다.

• 대한공업교육학회지
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• 제30권1호
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• pp.37-45
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• 2005

The purpose of this study is to find out the relationship between the Multiple Intelligence and the technological problem solving and the differences between the two. There were a group of 200 third grade middle school students that were comprised of 100 boys and 100 girls and what the difference is exited between the boys and the girls. To measure the students' Multiple Intelligence, MI(Multiple Intelligent)Test designed by Youngrin, Moon was used. As the testing instrument of the Technological problem Solving, we use the test developed by National Center for Research on Evaluation, Standards, and Students Testing(CRESST). The results were; First, In comparison with the boys and girls' multiple intelligence part, there were individual differences in musical intelligence, bodily-kinesthetic intelligence, logical-mathematical intelligence, and naturalistic intelligence of multiple intelligence. Second, In comparison to the technological problem solving part, there were individual differences in self-regulation and there was a mild difference in understanding of the contents. Third, The multiple intelligence related with the self-regulation is continuous with logical-mathematical intelligence, intra-personal intelligence and linguistic intelligence. Fourth, The multiple intelligence related with the technological problem solving strategy is continuous with logical-mathematical intelligence and musical intelligence. Fifth, The multiple intelligence related with the understanding of the contents is continuous with the logical-mathematical intelligence and naturalistic intelligence. To improve the students' technological problem solving ability, it is required the development of the curriculum which focus on the improvement of logical-mathematical intelligence, musical intelligence, intra-personal intelligence, linguistic intelligence and naturalistic intelligence of the students.