• School Mathematics
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• v.14 no.4
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• pp.431-443
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• 2012

The purpose of the research is to offering an implication about problem posing instruction for improving problem solving ability through 5th grade elementary school students' responses on problem posing. For the purpose a survey was implemented to 281 students at Busan urban area. There was a difference between the students' completeness in terms of problem posing types. They tended to make more simple problems linguistically rather than complicated problems and made problems for the equation easily. At first for the problem posing, students need to be taught to learn for making appropriate problems about an equation.

• Journal of The Korean Association of Information Education
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• v.6 no.1
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• pp.13-29
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• 2002

Mathematical curriculum has been developed based on learners' level and difficulties of contents. Succeed in solving problem in mathematics depends on the completion of the precedent learning. Thus, it is important to diagnose students beforehand. It is also important to develop problem-solving skills for students. In this thesis, Q&A system is proposed to help students learn various problem solving skills in mathematics. Although the system is currently applicable to mathematics, it can be applied to any other subjects.

• Communications of Mathematical Education
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• v.10
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• pp.31-42
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• 2000

21세기를 살아가야 할 현재의 학생들에게 요구되는 것은 쏟아지는 정보의 홍수 속에서 필요한 것만을 가려 자신의 지식으로 만들어 가는 능력이다. 이는 곧 창의력, 문제 해결력과도 관련된다. 이러한 능력을 신장시키기 위한 관심 속에서 구성주의가 교육이론의 전면에 부상하게 되었다. 본고에서는 구성주의와 현장 학습과의 관련성을 알아보고, 구성주의 이론을 바탕으로 한 현장 학습 적용에 대하여 살펴보고자 한다.

• The Mathematical Education
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• v.48 no.4
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• pp.455-467
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• 2009

During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The test questions are formulated into several areas of questioning-types which can reveal rather different result. The lower level questions are to investigate individual ability to solve multiple mathematical problems while using "mathematical thought." During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The scope of this case study is to present a desirable model in solving mathematical problems and to improve teaching methods for math teachers.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.73-83
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• 2009

Mathematics Olympiad aims to identify and encourage students who have superior ability in mathematics, to enhance students' understanding in mathematics while stimulating interest and challenge, to increase learning motivation through self-reflection, and to speed up the development of mathematical talent. Participating mathematical competition, students are going to solve a variety of types of mathematical problems and will be able to enlarge their understanding in mathematics and foster mathematical thinking and creative problem solving ability with logic and reasoning. In addition, parents could have an opportunity valuable information on their children's mathematical talents and guidance of them. Although there should be presenting diversified mathematical problems in competitions, the real situations is that resent most mathematics Olympiads present mathematical problems which narrowly focus on types of solving problems. In order to diversifying types of problems in mathematics Olympiads and making mathematics popular, this study will discuss a Olympiad for problem solving ability, a Olympiad for exploring mathematics, a Olympiad for task solving ability, and a mathematics fair, etc.

• Korean Journal of Cognitive Science
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• v.28 no.3
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• pp.149-171
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• 2017

In this research, based on the fact that spatial ability is important for the achievement in the STEM fields, and technological innovation, Purdue Spatial Visualization Test-Rotation has been used to investigate engineering freshmen's spatial ability and gender differences. Students who have taken advanced mathematics courses in high school(those who have taken type B math test in Korean SAT test) and students with general math courses(those who have taken type A in Korean SAT-Math test) are included in this study to find out the relationship between mathematics achievement and spatial ability. Finding out the strategies taken by students was another aim of this study. This strategic differences between high achievers and lower achievers, male and female students were analyzed from students' self report. Spatial ability test score was highest in the SAT-Math type B male students, decreased in the order of type A male students, type B female students, and lastly type A female students. There was no substantial difference between second and third groups. In each group, male students' average score was 8~10% higher than female students, which affirms 2015's results. The correlation between spatial ability and mathematics achievement was negligible in each group, but male students' math score and spatial ability score were higher than that of female students. This can be interpreted that there is some correlation between these two. Strategic choices can vary in the continuous spectrum with analytic method and holistic method at both ends. From students' self report, using Mann-Witney test, it turned out that there exists strategic differences between male and female students. Male students have a tendency to use holistic strategy more often than female students. I also found that the strategy choice did not vary greatly among all score groups. For the perfect score groups, both female and male students used holistic strategy most frequently. For low achieving groups, there is an evidence that these students overuse one method compared to average or high achieving groups, which turned out to be less effective. Based on these, I suggest that low achieving students need to have more chances to adopt efficient strategies and to practice challenging problems to improve their spatial abilities.

• School Mathematics
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• v.19 no.3
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• pp.553-570
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• 2017

The purpose of this study was to gain insights into investigating the feasibility on integrating computational thinking(CT) into school mathematics. Definitions and the components of CT were varied among studies. In this study, CT in mathematics was focused on thinking related with mathematical problem solving under ICT supportive environment where computing tools are available to students to solve problems and verify their answers. The focus is not given on the computing environment itself but on CT in mathematics education. For integrating CT into mathematical problem solving, providing computing environment, understanding of tools and supportive curriculum revisions for integration are essential. Coding with language specially developed for mathematics education such as LOGO, and solving realistic mathematical problems using S/W such as Excel in mathematics classrooms, or integrating CT into math under STEAM contexts are suggested for integration CT into math education. Several conditions for the integration were discussed in this paper.

• Annual Conference on Human and Language Technology
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• 2021.10a
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• pp.47-52
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• 2021

최근 지문을 바탕으로 답을 추론하는 연구들이 많이 이루어지고 있으며, 대표적으로 기계 독해 연구가 존재하고 관련 데이터 셋 또한 여러 가지가 공개되어 있다. 그러나 한국의 대학수학능력시험 국어 영역과 같은 복잡한 구조의 문제에 대한 고차원적인 문제 해결 능력을 요구하는 데이터 셋은 거의 존재하지 않는다. 이로 인해 고차원적인 독해 문제를 해결하기 위한 연구가 활발히 이루어지고 있지 않으며, 인공지능 모델의 독해 능력에 대한 성능 향상이 제한적이다. 기존의 입력 구조가 단조로운 독해 문제에 대한 모델로는 복잡한 구조의 독해 문제에 적용하기가 쉽지 않으며, 이를 해결하기 위해서는 새로운 모델 훈련 방법이 필요하다. 이에 복잡한 구조의 고차원적인 독해 문제에도 대응이 가능하도록 하는 모델 훈련 방법을 제안하고자 한다. 더불어 3가지의 데이터 증강 기법을 제안함으로써 고차원 독해 문제 데이터 셋의 부족 문제 또한 해소하고자 한다.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.109-128
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• 2009

This study aimed to investigate students' learning process by examining their perception process of problem structure and mathematization, and further to suggest an effective teaching and learning of mathematics to improve students' problem-solving ability. Using the qualitative research method, the researcher observed the collaborative learning of two middle school students by providing problem-posing activities of five lessons and interviewed the students during their performance. The results indicated the student with a high achievement tended to make a similar problem and a new problem where a problem structure should be found first, had a flexible approach in changing its variability of the problem because he had advanced algebraic thinking of quantitative reasoning and reversibility in dealing with making a formula, which related to developing creativity. In conclusion, it was observed that the process of problem posing required accurate understanding of problem structures, providing students an opportunity to understand elements and principles of the problem to find the relation of the problem. Teachers may use a strategy of simplifying external structure of the problem and analyzing algebraical thinking necessary to internal structure according to students' level so that students are able to recognize the problem.

• 한국정보교육학회:학술대회논문집
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• 2007.01a
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• pp.287-292
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• 2007

본 연구는 켈러의 ARCS(Attention, Relevance, Confidence, Satisfaction) 동기화 이론을 수학과 문제해결학습에 적용하여 학생들의 지적 수준과 능력에 맞는 동기유발 요소로 실제 학습동기를 유발시키고, 수학과 학습에 흥미와 관심을 갖도록 하는 코스웨어를 개발 및 적용하여 그 효과를 입증하는 데에 목적이 있다. 이를 위하여 ARCS 이론을 적용하여, 실생활 속에서 문제를 인식하고 동기화를 촉진시킬 수 있는 동영상 자료와 플래시 자료를 포함한 '동기유발자료'와 문제해결과정을 다양한 형태와 방법으로 연습할 수 있는 '스스로 공부해요' 메뉴를 포함한 코스웨어를 개발하였다. 개발된 코스웨어는 학생들의 관심과 흥미를 충분히 반영하여 스스로 조작하며 학습할 수 있도록 학습자 중심형태로 개발하였다.