• Journal of the Korean School Mathematics Society
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• v.19 no.1
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• pp.21-41
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• 2016

Ministry of Education has proposed storytelling in context of the actual or fantasy for the sake of fun and easy mathematics education. However most of school mathematics is not associated with the real life. In that case it could be one method for cultivating positive affects about mathematics that we make up and apply mathematics narrative with which we can reveal what makes mathematics interesting. In this study, among every problem in every examination in four regular examination that targeted the first-year of one ordinary high school in Seoul, I elected a total of four problems, and wrote a total 4 of mathematics narratives. I analysed a case on a few students with which I had conversations after teaching those 4 number of mathematics narratives, and studied mathematics narrative's influences on affects about mathematics of ordinary high school students. As a result, from one of a few students we could observe that his mathematical emotional mind had varied positively. From the student and the other students who had been engaged I discussed some implications and some points to be improved about making up and applying mathematics narrative for cultivating positive affects about mathematics.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.459-475
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• 2012

Epistemology in which only subject and object of cognition exist can't play a role well in the society. In this paper we analyze structuralism which discusses linguistic and social conditions that make subject of cognition possible and semiologic epistemology's philosophical base with three keywords: subject, structure and discourse. Signification by the signs' relation not object of cognition and construct of subject make meaning of sign in network of signs. The construct exists before subject and subject can exist in the structural order. In understanding and analyzing learning of mathematics, this point of view makes you consider the other problems besides construction by subject.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.221-248
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• 2013

Among five types of the model textbook based on storytelling, the type of 'Inquiry into history of Mathematics' focuses on adapting the logic of mathematical discovery to the organization of mathematical contents. It enables students to recognize that mathematics has been developed by human needs and creativity while they are engaged in the story about knowledge formation. Moreover the textbook offers the context in which students are able to understand mathematical insights and logics hidden in the subject matter, so that they can reinvent and develop mathematical knowledge. In this study, we found the principles for development of the textbook based on storytelling for 'Inquiry into History of Mathematics' by analyzing the chapter about 'Complex number and Quadratic Equations' of the model textbook. The chapter was implemented in classroom environment and students' understanding of the subject matter and their perception on the textbook based on storytelling were surveyed before and after the implementation. The results showed the possibilities of adapting the textbook based on storytelling and we suggested some implications for further development.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.163-178
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• 2012

The efforts to represent the numbers based on the decimal system give us fundamental understanding to construct and teach the concept network on the related knowledge of elementary and secondary school mathematics. In the process to represent natural numbers, integers, rational numbers, real numbers as decimal system, we will classify the extended decimal system. Moreover we will obtain the view to classify real numbers. In this paper, we will study the didactical significance of mathematical knowledge, which arise from process to represent real numbers as decimal system, starting from decimal system representation of natural numbers, and provide the theoretical base about the classification of real numbers. This study help math teachers to understand school mathematics in critical inside-measurement and provide the theore tical background of related knowledge. Furthermore, this study provide a clue to construct coherent curriculum and internal connections of related mathematical knowledge.

• School Mathematics
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• v.12 no.1
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• pp.79-95
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• 2010

The purpose of this study is to examine into how the mathematically gifted cope with ambiguity when they are encountered to learn via resolving ambiguity. In this study 6 gifted students are asked to resolve the ambiguity. Participant in this study appeared to experience the need of mathematical justification and the flexible change of perspective. The gifted have constructed unified mathematical knowledge by making a relation between two incompatible perspective in the process of resolving the ambiguity. We suggest that dealing with ambiguity in mathematics class can be a good opportunity for enhancing the gifted student mathematics education.

• Journal of Gifted/Talented Education
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• v.25 no.4
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• pp.581-605
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• 2015

The purpose of this study is to build an instruction method focused on the mathematical process and apply it to 12, 5-year-olds from Kindergarten located in Seoul with a view to explore the changes in their mathematical thinking. In addition, surveys with parents and teachers, as well as those conducted in the field of early childhood education, were conducted to analyze the current situation. The effects focused on the five mathematical processes, namely problem solving, reasoning and proof, connecting, representing and communication was found to help the interactions between teacher-child and child-child stimulate the mathematical thinking of the children and induce changes. The mathematical process-focused instruction aimed to advance mathematical thinking internalized mathematical knowledge, presented an integrated problematic situation, and empathized the mathematical process, which enabled the children to solve the problem by working together with peers. As such, the mathematical thinking of the children was integrated and developed within the process of a positive change in the mathematical attitude in which mathematical knowledge is internalized through mathematical process.

• Journal of Korea Game Society
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• v.4 no.4
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• pp.19-24
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• 2004

In this paper, we have proposed a new geometric solution of inverse kinematics of high instinct, while traditional solutions of inverse kinematics requires high level of mathematical knowledge. It was possible to use the inverse kinematics without mathematical knowledge because 3D vectors of directions of folded bones could be calculated by our method in the inverse kinematic model of two bones. The proposed method can be utilized easily by graphic designers who have little knowledge of mathematics of inverse kinematics

• Communications of Mathematical Education
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• v.18 no.2 s.19
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• pp.163-186
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• 2004

구성주의에 기반한 7차 교육과정에서 교사 중심의 수업에서 학생 중심의 수업으로 전환을 강조하고 있다. 또한 지식을 객관적인 존재라는 의식에서 벗어나 학생들 스스로에 의해 구성되어진다는 것을 강조하고 있다. 이러한 시점에서 교실 수업의 개선은 당연한 흐름이며 교사들의 의식 전환 또한 당연한 것이다. 7차 교육과정에서 문제해결력을 바탕으로 한 수학적 힘의 신장을 강조하고 있다. 이러한 시대적 요청에 부응하는 교수법의 개발에 있어서 문제해결력과 창의적 사고력 학습법에 대한 연구는 필연적이다. 따라서 본 연구의 목적은 어떤 문제설정 방법이 문제해결력과 창의력을 향상시키는데 보다 더 효과가 있는지 알아보는데 그 목적이 있다.

• Journal of the Korean School Mathematics Society
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• v.10 no.1
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• pp.45-69
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• 2007

In the 21st century, knowledge-based and information-based society requires not just the capability of applying mathematics simply but mathematical power such as problem-solving ability which composes and solves problems using mathematical knowledge in real-life and fields of various subjects. However, to develop mathematical power, we need various teaching and learning methods which raise basic mathematical knowledge, the inference capability, problem- solving ability, the flexibility of thinking, the expressing and transforming ability of mathematical ideas, perseverance, interest, intellectual curiosity, and creativity. In this paper, we develop the teaching-learning plans based on real life using the various methods of learning and then we analyze the change of students's cognition of mathematics and the students's reaction of the class.

• Journal of Educational Research in Mathematics
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• v.14 no.2
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• pp.143-156
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• 2004

Lakatos's mathematical philosophy implies that the mathematical knowledge is quasi-empirical and provides the context where mathematics grows and develops. So, it is educationally significant. But, it is not easy to apply Lakatos's methodology to teaching elementary mathematics, because Lakatos's logic of the mathematical discovery is based on the proofs and refutations but elementary mathematics does not contain any proof. This study is to develop the schemes that apply Lakatos's methodology to teaching elementary mathematics and to provide the teaching examples. I devised the teaching process and the curriculum development method. And I developed the teaching examples.