• Communications of Mathematical Education
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• v.34 no.4
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• pp.587-603
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• 2020

This study is a basic study to effectively develop a mathematics experience object, an important tool and educational tool in mathematics education. Recently, as mathematics education based on action theory is emphasized, various mathematics experience objects are being developed. It is also used through various after-school activities in the school. However, there are insufficient cases in which a mathematics experience teaching tools is developed and used as a tool for explaining mathematics concepts in mathematics classrooms. Also, the mathematical background of the mathematics experience teaching tools used by students is unclear. For this reason, the mathematical understanding of the toolst for mathematics experience is also very insufficient. Therefore, in this study, a development model is proposed as a systematic method for developing a mathematics experience teaching tools. Also, in this study, we developed 'the Great Common Divisor' mathematics experience teaching tool according to the development model. Through the model proposed through this study and the actual mathematics experience teaching tool, the development of various tools for mathematical experience will be practically implemented. In addition, it is expected that various tools for experiencing mathematics based on mathematical foundations will be developed.

• School Mathematics
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• v.13 no.2
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• pp.229-243
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• 2011

The mathematics exhibition gives visitors a special chance to experience mathematics materials through a variety of exhibits. Thus, the study should be carried out by examining the impact on students' perception in the area of mathematics education. This study was conducted based on the three domestic mathematics exhibitions. I carried out the study, with the population of the middle and high school students consisted of 393 attendees and 135 volunteers at the exhibitions, to examine (1) the current condition of exhibitions' operating system and exhibits, (2) the reaction to the exhibits' contents, presentation methods, exhibitions' operating systems, and facilities, and (3) the cognitive and affective effects on the students' perception, engagement, and motivation. From the research-based study, I found more pros on the mathematics exhibition than cons. Therefore, in my opinion, the exhibition's role should be defined as an efficient supplementary method to complement the school curriculum. It is also necessary to develop the appropriate exhibits' contents reflecting the students' levels and needs. The government should provide enough financial supports to various mathematics exhibitions in order to install amenities and facilities for visitors.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.211-222
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• 2004

신체적 체험은 인간의 사고를 형성하는 바탕이 된다. 문제해결 경험은 인간 사고를 한층 더 발전시킨다. 특히 사물의 형태와 움직임을 관찰하고, 그러한 환경에 감각-운동 신경을 발달시키는 체험에서 획득된 개념들은 추상적 사고에서 중심적 역할을 한다는 언어심리학의 가설이 흥미롭게 제기되어 연구되어 오고 있다. 개념체계로서 수학, 언어로서 수학, 의미 만들기로서 수학 , 문제 해결로서 수학 등 수학학습과 관련된 수학의 여러 모습에 대한 새로운 시각을 갖게 한다. Lakoff와 Johnson는 신체적 체험이 가져온 이러한 개념체계들 '메타포'라고 부른다. 메타포의 '개념' 수준으로의 확장은 analogy의 의미를 확장시켰다. 수학학습에 신체적 체험으로 존재하는 개념들은 수학적 개념에 이르는 학습을 새롭게 보게 한다. 본 연구는 metaphor와 analogy의 인지과학 및 언어과학에서 연구되고 있는 일반적 의미들을 제시하고 수학학습에서의 적용될 수 있는 방법들을 제시한다.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.465-484
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• 2020

The purpose of this study was to prove the effect of Mathematics field experience trip program on students' attitude in learning Mathematics. For this we developed Jejumok-Gwanna Math-Tour program in 2019 for students which would make them to walk and experience mathematics in the field. In that program, we suggested several Mathematics examples about natural objects and artifacts in Jejumok-Gwanna. After that, we let A middle school students within Jeju to experience this program in order to see the effect of this program. We asked participants to write pre- and past- questionnaire, have an interview, and write review. After analyzing those, this study concluded that the effect of Jejumok-Gwanna Math-Tour on student's attitude in learning mathematics was statically significant. The result of this study suggested that Mathematics Field Experience Study Program could be useful to improve student's attitude in learning mathematics.

• Journal of Educational Research in Mathematics
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• v.22 no.1
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• pp.69-99
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• 2012

This study aims to develop a highly-reliable inventory for measuring and analyzing the positive psychological experience in math learning. A measurement result provides meaningful information on the strength of students. Elements of positive psychological experience in math learning were extracted by the extensive research on the literature. The result was verified through the open survey. Through this process, the first preliminary questionnaire of 106 items was released, and was revised into the second one of 66 items through a continuous investigation on reliability and validity. Finally, a measurement inventory with 65 questions for testing 'positive psychological experience in math learning' was established.

• Journal of Educational Research in Mathematics
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• v.16 no.3
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• pp.179-198
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• 2006

In This Paper, I call Johnson & Lakoff (1980; 1999)'s Experientialism or Experiential Realism or, Embodied Realism, Nunez(1995; 1997)'s Ecological Naturalism as Experientialism and try to investigate the possibility of their Experientialism to be a philosophy of mathematical education. This possibility is approached in the respect with the problem of objectivism and relativism. I analyzed the epistemological background of embodied cognition first and then mathematical epistemology of experientialism. Experientialism shares its Philosophical position partly with Dewey and Merleau-Ponty. Experientialists deny the traditional hypothesis of philosophy as such separability of subject and object, and of body and rationality and also They have better position of epistemology than that of Hamlyn, and of Social Constructivism. Therefore, They guarantee wider range of mathematical universality than Hamlyn and Social constructivist. I conclude that the possibility of Experientialism to be a philosophy of mathematical education depends on the success of its supporting the practical study on mathematics education.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.785-801
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• 2009

The education of mathematics is comprised of formal thoughts so students lose interest and they don't have a chance to have a liberal mind. To solve this problem, recently, the flow of mathematic education is changing from formal mathematics to experimental mathematics, which focuses on student's activity and experience. Experimental mathematics can improve student's interest and participation. This study is about teaching methods of trigonometric functions through experimental mathematics measuring height and width of buildings. For measuring height of buildings we use clinometer and for measuring width of buildings we developed a mathematical tool with which we can measure angle for width of buildings. Through this activity, students obtained an interest in mathematics and they gained a positive attitude for the lesson. If we use this experimental mathematics method in high school, it's possible to reduce fears of mathematics and to increase an interest for mathematics.

• Communications of Mathematical Education
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• v.9
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• pp.267-272
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• 1999

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2008.05a
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• pp.37-45
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• 2008

• East Asian mathematical journal
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• v.26 no.2
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• pp.281-299
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• 2010

In this study we develop mathematical tools for measuring the Geumgang Ratio and we call them Geumgang Ratio Calipers. Also we show a teaching method for ratio through experimental mathematics. With Geumgang Ratio Calipers students measure the Geumgang Ratio in their bodies, materials for everyday life and the Sukgulam. Through this activity, students obtained an interest in mathematics and gained a positive attitude for mathematics.