• Title/Summary/Keyword: 수학적 창의성

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Comparison of Mathematical Thinkings Based on the Development Process of Two Brothers Talented in Math: A Case Study (부모의 양육태도가 다른 형제 영재의 수학적 성향 비교: 사례연구)

  • Cho, Cha-Mi
    • Journal of Gifted/Talented Education
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    • v.19 no.1
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    • pp.47-67
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    • 2009
  • This paper is about a case study of two brother talents who have a similar genetic factor The researcher who worked as a teacher of the Institute of Talent Education where the two brothers attended for 3 years analyzed and compared the influential variables through the interview of both the students and their parents. Parents have invested to the elder brother showing geniuses so they disciplined him suppressively out of too much expectation. However, they allowed his brother, who showed talents later, more automaticity, supporting him when he himself wanted to study. As a result, the younger brother showed a more creative thinking ability, and a better school performance This paper is significant in that parents's positive disciplining attitude maximize children's genius.

Development of teaching and learning materials by using GeoGebra and it's application effects for high school mathematically gifted students (GeoGebra를 활용한 교수.학습이 과학고등학교 수학영재들의 인지적 측면에 미치는 영향)

  • Kim, Mu Jin;Lee, Jong Hak;Kim, Wonkyung
    • Journal of the Korean School Mathematics Society
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    • v.17 no.3
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    • pp.359-384
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    • 2014
  • The purpose of this study is inquire the reaction and adaptability of the mathematically gifted student, in the case of introduce learning materials based on GeoGebra in real class. The study program using GeoGebra consist of 'construction of fundamental figures', 'making animation with using slider tools' (graph of a function, trace of a figure, definite integral, fixed point, and draw a parametric curve), make up the group report after class. In detail, 1st to 15th classes are mainly problem-solving, and topic-exploring classes. To analyze the application effects of developed learning materials, divide students in four groups and lead them to make out their own creative products. In detail, guide students to make out their own report about mathematical themes that based on given learning materials. Concretely, build up the program to make up group report about their own topics in six weeks, after learning on various topics. Expert panel concluded that developed learning materials are successfully stimulate student's creativity in various way, after analyze of the student's activities. Moreover, those learning programs also contributed to the develop of the mathematical ability to thinking that necessary to writing a report. As well, four creative products are assessed as connote mathematically gifted student's creative thinking and meaningful elements in mathematical aspects.

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A Comparison Analysis of Intellectual Characteristics Between Science-Gifted Education Students and General Students (초등과학 영재학급 학생들과 일반 학생의 인지적 특성 비교 분석)

  • Cho, Eun-Boo;Paik, Seong-Hey
    • Journal of The Korean Association For Science Education
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    • v.26 no.3
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    • pp.307-316
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    • 2006
  • The purpose of this study was to analyze intellectual characteristics of elementary students in science-gifted education. For this, 72 science-gifted students were selected. Multiple intelligences, creativity, and the science process skills of these students were tested. To compare these traits with those of general students, 78 general students were also tested. The results of this study indicated that science-gifted students significantly surpassed general students in the areas of logical-mathematics, intra-person, and naturalist. Especially, the intelligences of logical-mathematics and intra-person were strong point of the science-gifted students. But music intelligence among the 8 intelligence was weak point. Creativity and the science process skills of the students in science-gifted education excelled those of general students. Therefore, to enhance the efficiency of the science-gifted education program in elementary school, it is necessary to consider the intellectual characteristics of the students.

How to Pose an Open Problem? : Two Cases of Posing an Open-ended Problem by Reorganizing Given Closed Problems (개방형 문제를 어떻게 만들 것인가?: 두 개의 개방형 문제 제작 사례를 중심으로)

  • Do, Jong-Hoon
    • Journal of the Korean School Mathematics Society
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    • v.10 no.2
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    • pp.221-235
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    • 2007
  • Open problems can provide experiences for students to yield originative and various products in their level, because it is open with respect to its departure situation, goal situation, or solving method. Teachers need to pose and utilize open problems in forms of solution-finding or proving problems. For this we first have to specify which resource and method to use by concrete examples. In this article, we exemplify a method and procedure of posing an open problem by the two cases in which we pose open problems by reorganizing given closed problems. And we analyze students' responses for the two posed open problems. On the basis of these, we reflect implications for mathematical education of open problems.

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A Reconstruction of Probability Unit of Elementary Mathematics Textbook Based on Freudenthal's Reinvention Method (Freudenthal의 재발명 방법에 기초한 제7차 초등수학교과서 확률 단원 재구성)

  • Kang, Ho-Jin;Kang, Heung-Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.12 no.1
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    • pp.79-100
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    • 2008
  • Freudenthal has advocated the reinvention method. In that method, the pupils start with a meaningful context, not ready-made concepts, and invent informative method through which he could arrive at the formative concepts progressively. In many face the reinvention method is contrary to the traditional method. In traditional method, which was named as 'concretization method' by Freudenthal, the pupils start with ready-made concepts, and applicate this concepts to various instances through which he could arrive at the understanding progressively. Through analysis, it turns out that Korea's seventh elementary mathematics textbook is based on concretization method. In this thesis, first of all, I will reconstruct probability unit of seventh elementary textbook according to Freudenthal's reinvention method. Next, I will perform teaching experiment which is ruled by new lesson design. Lastly, I analysed the effects of teaching experiment. Through this study, I obtained the following results and suggestions. First, the reinvention method is effective on the teaching of probability concept and algorithm. Second, in comparison with current textbook strand, my strand which made probability concept go ahead and combinatorics concept let behind is not deficiency. Third, tree diagram is effective matrix which contribute to formalization of combinatorics calculation. Lastly, except for fraction, diverse representation of probability, for example percentage or informal ratio expression must be introduced in teaching process.

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Characteristics of Algebraic Thinking and its Errors by Mathematically Gifted Students (수학영재의 대수적 사고의 특징과 오류 유형)

  • Kim, Kyung Eun;Seo, Hae Ae;Kim, Dong Hwa
    • Journal of Gifted/Talented Education
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    • v.26 no.1
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    • pp.211-230
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    • 2016
  • The study aimed to investigate the characteristics of algebraic thinking of the mathematically gifted students and search for how to teach algebraic thinking. Research subjects in this study included 93 students who applied for a science gifted education center affiliated with a university in 2015 and previously experienced gifted education. Students' responses on an algebraic item of a creative thinking test in mathematics, which was given as screening process for admission were collected as data. A framework of algebraic thinking factors were extracted from literature review and utilized for data analysis. It was found that students showed difficulty in quantitative reasoning between two quantities and tendency to find solutions regarding equations as problem solving tools. In this process, students tended to concentrate variables on unknown place holders and to had difficulty understanding various meanings of variables. Some of students generated errors about algebraic concepts. In conclusions, it is recommended that functional thinking including such as generalizing and reasoning the relation among changing quantities is extended, procedural as well as structural aspects of algebraic expressions are emphasized, various situations to learn variables are given, and activities constructing variables on their own are strengthened for improving gifted students' learning and teaching algebra.

Creativity and Academic Achievement of the scientifically gifted university students (이공계 우수 대학생 집단의 창의성과 학업 성적)

  • Chung Ji-Bum;Baek Yoon-Su;Moon Il
    • Journal of Engineering Education Research
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    • v.7 no.4
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    • pp.38-44
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    • 2004
  • The purpose of this study was to investigate the creative characteristics of the scientifically gifted university students and the relationship between creativity and introductory engineering courses. Torrance Test of Creative Thinking(TTCT) verbal and figural forms were administered to the two groups of students, scientifically gifted students and general students. The TTCT results and their first year grade point average(GPA) were analysed by t-test method and Pearson's correlation analysis. The major findings are, (1) general students group got higher scores in some factors such as flexibility of verbal form TTCT, but significant differences between the two groups were generally not found, and (2) the factors such as the originality of figural form TTCT showed small positive correlation with GPA, but the other factors were barely related to GPA.

The Effects of 'Ice' Project Activities on Young Children's Scientific Abilities, Mathematical Abilities, and Creativity ('얼음' 프로젝트가 유아의 과학적 능력, 수학적 능력, 창의성에 미치는 효과)

  • Yu, Kwangjae;Kim, Jihyun
    • Korean Journal of Childcare and Education
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    • v.17 no.1
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    • pp.41-63
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    • 2021
  • Objective: The purpose of this research was to examine the effects of an 'Ice' project, a topic chosen based on children's interests to discover the improvement of scientific and mathematical abilities, and creativity of four-year-old children. Methods: For this research, 34 four-year-old children from M childcare center were selected. Seventeen children were placed in the experimental group and the remaining 17 children were placed in the comparison group. After the project was completed, to observe the differences between the two groups, the Mann-Whitney U test was conducted. Results: First, the 'Ice' project had an effect on improving children's scientific abilities and its subfactors. Second, the 'Ice' project hadsignificant effects on improving children's algebraic and geometric mathematical skills. Third, excluding the resistance to premature closure among the subfactors of creativity, the 'Ice' project contributed to improve children's creativity and all sub-factors. Conclusion/Implications: The 'Ice' project activities, a subject chosen from the interests of children, led active play participation from children and brought positive effects in immersion of play and activity. Such effects proved to affect children's scientific abilities, mathematical abilities, and creativity, and suggest this research can be used as base line data in follow-up research on various project activities.

Integrated Approach to Early Childhood Curriculum for Science (통합적 유아 과학 교육과정의 접근 방식)

  • 전명남;정정희
    • The Journal of the Korea Contents Association
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    • v.2 no.2
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    • pp.10-16
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    • 2002
  • This paper discussed the integrated approach to early childhood curriculum for science with reference to linking activities like as math activities, music art activities, fay, lied rips, creative thinking, food experiences, literature links, creative movement, science activities and promoting concept connections by Halan et al(2000). The integrated approach to early childhood science education is based on whole mind of children and science literacy, science concept, science teaming through multiple pathways.

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Mathematics, Art and 3D-Printing in STEAM Education (수학과 예술을 3D 프린팅으로 연결하는 융합인재교육)

  • Lee, Sang-Gu;Lee, Jae-Yoon;Park, Kyung-Eun;Lee, Jae Hwa;Ahn, Seung-Chul
    • Communications of Mathematical Education
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    • v.29 no.1
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    • pp.35-49
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    • 2015
  • 3D-Printing is one of the most innovative technologies that will be widely used in the 21st century. 3D-Printing also serves as an indispensable tool in STEAM education. In this article, we introduce what we have done in our mathematical modeling class in Uni. and recent R&E project under the support of Korean Foundation for the Advancement of Science and Creativity. We planned a model of STEAM education originating from our wish to make tangible models that use mathematical formulas to express the natural beauty of an object. We used a free, open-source software, Sage, to simulate these models online. Then, we created a program that generates a .STL file from these 3D images. This model can help students understand the natural beauty inherent in mathematics and use formulas and technology tools to simulate models in 3D. Finally, we were able to help students to create their own. STL files through a website we developed by adding Sage code into a Sage notebook. Then students can make and hold a 3D object of their very own. This process shows the possibility that mathematics, art and 3D-Printing can be effectively used to achieve the goals of STEAM education.