• 한국초등수학교육학회지
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• 제9권2호
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• pp.181-200
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• 2005

구성주의 관점에 의하면 수학적 지식은 교사가 일방적으로 전수하는 것이 아니라 학생들이 자발적인 방법으로 스스로의 지식을 형성해 가는 것이다. 특히 사회적 구성주의에서는 사회구성원간의 의사소통을 통해 수학지식이 형성됨을 강조하고 있다. 일반적으로 학생들의 의사소통은 소집단 협동학습의 환경에서 가장 활발하게 이루어진다. 문제해결을 위해 학생들은 각자의 생각을 교환하고 자유롭게 질문하며 상호간의 사고와 개념을 명확하게 하고 의미 있는 방법으로 서로의 학습에 도움을 주게 된다. 본 연구에서는 6학년 학생들이 수학적 논의를 하는 과정에서 사용하는 의사소통의 수단을 언어와 행동의 관점으로 분석하여 매 수업 장면에서는 관찰하기 어려운 소집단 협동학습 내의 집단적인 역학관계를 파악하고자 한다.

• 한국생활과학회지
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• 제20권4호
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• pp.745-757
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• 2011

The purpose of this study was to explore status of mathematical interactions between parent and child and use of mathematical materials at home. For this purpose, questionnaires were developed. The framework of the questionnaires consisted of mathematics education content domains. 276 parents(4-5 year old children) in J Province responded to the questionnaires, which were analyzed according to the level of home income, the mother's work conditions and the mother's level of education. The results were as follows: First, between parent and child mathematical interaction at home showed a 2.84 score in average and frequency of mathematical interaction expressed in the domains of 'Understanding of regularity', 'Measurement', 'Growing number sense', 'Space and shapes', 'Organizing data and showing results'. The domains of 'Growing number sense', 'space and shapes', and 'measurement' showed significant difference only by mother's level of education. The higher the mother's level of education, the more frequent the mathematical interaction between parent and child. Second, the use of mathematical materials showed an average score of 1.18, which means mathematical materials were practically not used at home. Also, the use of mathematical materials showed a slightly significant difference when measures against the levels of home income and the mother's level of education. The results showed a significant difference in parent-child mathematical interactions, and the possession and use of mathematical materials when measures against by level of home income and the mother's work conditions. Therefore, the results of this study suggest that the parent education program for mathematical interaction to apply at home and mathematics curriculum to be connected early in childhood education institution and home should be developed for parents.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제9권4호
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• pp.341-350
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• 2005

In this increasingly technological world, the creativity development has been highlighted much in many countries. In this paper, two mathematical activities with Chinese characteristics are presented to illustrate how to integrate algorithmic teaching into mathematical activities to develop students' creativity. Case studies show that the learning of algorithm can be transferred into creative learning when students construct their own algorithms in Logo environment rather than being indoctrinated the existing algorithms. Creativity development in different stages of mathematical activities and creativity development in programming are also discussed.

• 한국수학교육학회지시리즈A:수학교육
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• 제48권2호
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• pp.183-190
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• 2009

This is a following study of the preceding study, Flexibility of mind and divergent thinking in problem solving process that was performed by Choi & Do in 2005. In this paper, we discuss the relationship between ability to shift a viewpoint and insight into invariance, another major consideration in mathematical creativity, in the process of mathematical problem solving.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권2호
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• pp.123-141
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• 2010

This study introduced a coding method for mathematical problems in the TIMSS 1999 Video Study, which used sixteen indicators to analyze mathematical problems in a lesson. Based on this framework for coding, the researcher analyzed three lesson videos on Binomial Theorem taught respectively by three Chinese teachers, and got some features of mathematical problems in these three lessons.

• 한국수학사학회지
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• 제34권6호
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• pp.195-204
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• 2021

Mathematical induction is one of the deductive methods used for proving mathematical theorems, and also used as an inductive method for investigating and discovering patterns and mathematical formula. Proper understanding of the mathematical induction provides an understanding of deductive logic and inductive logic and helps the developments of algorithm and data science including artificial intelligence. We look at the origin of mathematical induction and its usage and educational aspects.

• 한국초등수학교육학회지
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• 제21권2호
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• pp.291-308
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• 2017

초등학교 고유어 수학 용어는 1946년에 군정청 문교부에서 각계의 의견을 들어 처음으로 만들어졌다. 당시에 만들어진 고유어 수학 용어의 대부분은 대개 한자의 뜻에 해당하는 고유어를 사용하거나, 그렇게 만든 것을 축약하여 만든 것이다. 그러나 20년도 지나지 않아 고유어 수학 용어의 반 정도가 다시 한자어 수학 용어로 환원되었고, 대부분 현재까지 그대로 사용되고 있다. 수학 교수 학습에서 한자어 수학 용어의 불편함이 지적되고 있고, 고유어 수학 용어의 사용이 도움이 될 것으로 주장되고 있지만, 고유어 수학 용어의 사용을 서두르는 것은 능사가 아니다. 한자어 수학 용어를 고유어 수학 용어로 바꾸는 시도는 신중해야 한다. 본 논문에서는 이러한 입장에서 성공적인 고유어 수학 용어의 사용을 위해 다음과 같은 세 가지 제언을 결론으로 제시한다. 첫째, 고유어 수학 용어를 만들려는 시도와 논의가 지속적으로 이루어져야 한다. 둘째, 현재 잘 존속하고 있는 고유어 수학 용어가 가진 생존력의 정체를 명확히 할 필요가 있다. 셋째, 현재 존속되지 않는 고유어 수학 용어의 실패 요인을 명확히 할 필요가 있다.

• 한국수학교육학회지시리즈A:수학교육
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• 제41권3호
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• pp.273-289
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• 2002

It tends to be emphasized that mathematics is the important discipline to develop students' mathematical reasoning abilities such as deduction, induction, analogy, and visual reasoning. This study is aimed for investigating the present state about mathematical reasoning in secondary school. We survey teachers' opinions and analyze the results. The results are analyzed by frequency analysis including percentile, t-test, and MANOVA. Results are the following: 1. Teachers recognized mathematics as knowledge constructed by deduction, induction, analogy and visual reasoning, and evaluated their reasoning abilities high. 2. Teachers indicated the importances of reasoning in curriculum, the necessities and the representations, but there are significant difference in practices comparing to the former importances. 3. To evaluate mathematical reasoning, teachers stated that they needed items and rubric for assessment of reasoning. And at present, they are lacked. 4. The hindrances in teaching mathematical reasoning are the lack of method for appliance to mathematics instruction, the unpreparedness of proposals for evaluation method, and the lack of whole teachers' recognition for the importance of mathematical reasoning

• 한국수학교육학회지시리즈D:수학교육연구
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• 제11권2호
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• pp.127-141
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• 2007

This paper compares and analyzes mathematics teachers' understanding of students' mathematical comprehension after experiences with the Cognitively Guided Instruction (CGI) or the Development of Mathematical Ideas (DMI) teaching strategies. This report sheds light on current issues confronted by the educational system in the context of mathematics teaching and learning. In particular, the declining rate of mathematical literacy among adolescents is discussed. Moreover, examples of CGI and DMI teaching strategies are presented to focus on the impact of these teaching styles on student-centered instruction, teachers' belief, and students' mathematical achievement, conceptual understanding and word problem solving skills. Hence, with a gradual enhancement of reformed ways of teaching mathematics in schools and the reported increase in student achievement as a result of professional development with new teaching strategies, teacher professional development programs that emphasize teachers' understanding of students' mathematical comprehension is needed rather than the currently dominant traditional pedagogy of direct instruction with a focus on teaching problem solving strategies.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제18권2호
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• pp.9-33
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• 2004

The purpose of this paper is to contribute to the dialogue about the notion of advanced mathematical thinking by offering an alternative characterization for this idea, namely advancing mathematical activity. We use the term advancing (versus advanced) because we emphasize the progression and evolution of students' reasoning in relation to their previous activity. We also use the term activity, rather than thinking. This shift in language reflects our characterization of progression in mathematical thinking as acts of participation in a variety of different socially or culturally situated mathematical practices. We emphasize for these practices the changing nature of student' mathematical activity and frame the process of progression in terms of multiple layers of horizontal and vertical mathematizing.