• Communications of Mathematical Education
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• v.21 no.2 s.30
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• pp.177-197
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• 2007

This study analyzes the theoretical background concerning problem solving, mathematization and real-life problems. Further it examines how middle school mathematics teachers and high school students of first grade recognize the real-life problems provides in textbooks concerning the area of geometry. Following those results found from this analysis, this paper reveals the issues and problems that we noticed through the analysis of real-life problems from textbooks, level 8 and level 9, Also we suggest the application of them along with the development of real-life problems for students' uplifting problem solving skills.

• The Korean Journal of Elementary Counseling
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• v.9 no.1
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• pp.111-132
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• 2010

The Purpose of this study is to investigate and suggest a counseling strategy and practice for solving interpersonal problems of elementary school students that elementary school teachers are now confronted with. In this study, first of all, the actual conditions of interpersonal problems of elementary school students were examined focusing on interpersonal aggressions(violence and victim). The features and problems of existing approaches for solving interpersonal problems of elementary school students were indicated. Although existing approaches for solving interpersonal aggression problems took temporary and external changes, they failed to notice psychological hurts that victims and aggressive victims got. As a fundamental and systematic way for overcoming problems of existing approaches, forgiveness counseling education based on empirical-scientific forgiveness researches was discussed. The Purpose of forgiveness counseling education is to make victims(aggressive victims) overcome the negative responses derived from interpersonal conflict(hurts and victims) and to facilitate them to response positively through experiencing forgiveness psychological process. Lastly, necessary assignments and topics to use forgiveness counseling education as an effective personality education approach were discussed.

• Journal of The Korean Association of Information Education
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• v.25 no.6
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• pp.995-1003
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• 2021

As the need for artificial intelligence (AI) education, which will become the core of the upcoming intelligent information society rises, the national level is also focusing attention by including artificial intelligence-related content in the curriculum. In this study, the PASPA education program was presented to enhance students' creative problem-solving ability in the process of solving problems in daily life through supervised machine learning. And Micro:bit, a physical computing tool, was used to enhance the learning effect. The teaching and learning process applied to the PASPA education program consists of five steps: Problem Recoginition, Argument, Setting data standard, Programming, Application and evaluation. As a result of applying this educational program to students, it was confirmed that the creative problem-solving ability improved, and it was confirmed that there was a significant difference in knowledge and thinking in specific areas and critical and logical thinking in detailed areas.

• Journal of The Korean Association For Science Education
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• v.29 no.2
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• pp.193-202
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• 2009

The purpose of this study was to investigate undergraduates' characteristics of problem-solving process through analysis of the response patterns on problem-solving laboratory. For this purpose, 18 freshmen taking a problem-solving-type general chemistry laboratory had been interviewed for the analysis of the characteristics of problem-solving process. According to the results, the students' responses have been classified into five types; trying to solve problems using new factors, trying to solve problems by finding missing factors in manual, recognizing problem-situations but just repeating the given process, not recognizing problem-situations but trying to solve doubts generated during execution, satisfying about results, and taking no further action. These results can be used as materials to suggest the role model of the students' laboratory execution and to look back on each students' execution.

• The Journal of Korean Association of Computer Education
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• v.16 no.5
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• pp.9-16
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• 2013

Computational thinking is an ability to resolve problems that may be applied to the various real world problems and is regarded as the core of computer science. Computational thinking may be improved through experiences of analyzing problems and of selecting, applying, and modeling strategies appropriate for problem-solving. In order to enhance computational thinking of learners, it is important to provide experiences of solving various problems. This study designed puzzle based learning in order to educate learners principles of problem solving, let them have experiences of interest and insight, and provide them with problem solving experiences. The puzzle questions used for learning were classified into six types - constraints, optimization, probability, statistics, pattern recognition, and strategies. These questions were applied to Informatics gifted elementary students and, after their education, their computational thinking and problem solving inventory significantly improved.

• Communications of Mathematical Education
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• v.35 no.3
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• pp.277-293
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• 2021

The purpose of this study was to find out how problem solving learning with open-ended mathematics problems for elementary school students affects their mathematical creativity and mathematical attitudes. To this end, 9 problem solving lessons with open-ended mathematics problems were conducted for 6th grade elementary school students in Seoul, The results were analyzed by using I-STATistics program to pre-and post- t-test. As a result of the study, problem solving learning with open-ended problems was effective in increasing mathematical creativity, especially in increasing flexibility and originality, which are sub-elements of creativity. In addition, problem solving learning with open-ended problems has helped improve mathematical attitudes and has been particularly effective in improving recognition needs and motivation among subfactors. In problem solving learning with open-ended problems, students were able to share various responses and expand their thoughts. Based on the results of the study, the researchers proposed that it is necessary to continue the development of quality materials and teacher training to utilize mathematical problem solving with open-ended problems at school sites.

• Communications of Mathematical Education
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• v.38 no.3
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• pp.309-330
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• 2024

This study analyzed the productive struggles experienced by the sixth-grade elementary school students when productively overcoming the struggles they encountered during mathematical problem-solving. By analyzing their processes of solving multi-strategic and open-ended problems, productive struggles were categorized according to two steps of problem-solving. Additionally, we examined the factors that support students in overcoming these struggles, distinguishing between individual, peer, and teacher influences. The study identifies four types of productive struggles during the problem-understanding step and six during the plan devising and carrying-out step. In the problem-understanding step, the most prevalent type involved overcoming difficulties to grasp the elements and conditions of the problem, while in the plan devising and carrying-out step, persistence in problem-solving was the most common. The factors supporting productive struggles were ranked in order of influence: individual, peer, and teacher support. Teacher support played a significant role during the problem-understanding step, whereas individual and peer supports were more influential during the plan devising and carrying-out step. Based on these findings, the study offers some didactical implications for understanding the characteristics of productive struggles and strategies for effectively supporting students through the problem-solving process.

• The Mathematical Education
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• v.43 no.4
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• pp.399-404
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• 2004

Mathematical creativity is a main topic which is studied within mathematics education. Also it is important in learning school mathematics. It can be important for mathematics teachers to view mathematical creativity as an disposition toward mathematical activity that can be fostered broadly in the general classroom environment. In this article, it is discussed that creativity-enriched mathematics instruction which includes creative problem-solving and problem-posing tasks and activities can be guided more creative approaches to school mathematics via routine problems.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.73-96
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• 2002

수학적인 사고력과 창의력이 강조되고 있는 요즈음 수학교육에서는, 이산수학적인 영역이 담당해야 할부분이 더욱 많아진 것으로 생각된다. 이에 발맞춰, 최근에 이산수학에 관한 연구가 활발해지고 있다. 그러나, 아직 초등학교에서 적절히 사용할 수 있는 별도의 이산수학 관련 서적이나 연구 문헌이 없어 아동들의 이산수학에 대한 관심과, 수학 성적과 이산수학의 문제 해결력과의 관계에 대하여 조사해 보았다. 이산수학의 문제들을 구성하여 아동들에게 예고 없이 평가하고 문제에 대한 수학적인 태도를 질문을 통하여 알아보고, 수학 실력이 우수한 학생과 그렇지 못한 학생들과의 이산수학 문제 해결력의 관계를 알아보고자 다음과 같은 연구 내용을 설정하였다. 이를 살펴보면 첫째, 초등 수학교육에서 이산수학에 대한 학생들의 반응에 대하여 생각해 본다. 둘째, 수학 성적과 이산수학 문제 해결과의 관계를 생각해 본다. 이상의 연구 문제를 해결하기 위해, 문헌 연구를 통하여 이산수학에 관련된 초등학교 내용을 소개하고, 문항을 구성하였다. 소개된 주제 중에서 4개의 주제(수 세기, 한 붓 그리기, 지도 색칠하기, 최소 거리 ${\cdot}$ 비용 수형도)를 선정하여 10개의 문항을 작성하였다. 조사 연구를 위한 대상은 서운 시내 2개 초등학교 5, 6학년 2개 반을 선정하였다. 각 문항의 정답율은 백분율(%)에 의하여 분석하였는데 그 결과를 살펴보면, 첫째, 수 세기의 정답율은 첫 번째 문항의 정답율이 낮았을 뿐, 다른 문항들의 정답율은 비교적 좋게 나타난 것으로 보아 문제를 이해하기 쉽게 구성하는 것이 중요하다는 것을 알게 되었다. 둘째, 한 붓 그리기와 지도 색칠하기의 문제들의 정답율은 상당히 높게 나타났는데, 그러한 것은 아동들이 직접 다양한 방법으로 시도해 봄으로써 문제를 해결할 수 있었기 때문인 것 같다. 또한 이러한 유형의 문제들은 아래 학년에도 투입해 볼 수 있을 것 같다. 셋째, 최소거리 ${\cdot}$ 비용 수형도의 문제에서는 난이도가 높은 이유도 있지만 문제 이해를 완전히 하지 못해 정답율이 무척 낮게 나온 것으로 생각된다. 넷째, 수학 성적이 높은 학생들이 대체적으로 문제 해결력이 높았던 것으로 나타났으나, 몇몇 학생들은 정반대의 결과가 나와 특이한 시사점을 제공했다. 그러한 이유로는 정형화된 문제들을 선호하고 쉽게 해결하는 아동들과, 그렇지 않은 아동들 사이의 문제 접근 방법의 차이라고 생각된다. 본 연구를 통하여 다음과 같은 제언을 하고자 한다. 첫째, 이산수학에 관련된 많은 문항을 개발하여 아동들에게 확대 투입함으로써 수학 수업의 효과와 문제 해결력을 높일 수 있을 것이라 생각된다. 둘째, 수학 실력이 떨어지는 아동들에게 보다 흥미있는 이산수학적 문제들을 제시함으로써 수학에 대한 자신감과 흥미를 높일 수 있을 것이라 생각된다. 셋째, 초등학교 과정에 알맞은 이산수학의 다른 주제도 학습 지도안과 그와 관련된 문제들을 개발하는 연구가 진행되어야 하겠다.

• 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.