• Title/Summary/Keyword: 수학적 창의성

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탐구학습을 통한 고등학교 학생들의 수학태도와 창의성 변화 연구

  • Lee, Gang-Seop;Kim, Jong-Gyu
    • Communications of Mathematical Education
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    • v.18 no.3 s.20
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    • pp.127-138
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    • 2004
  • 본 연구에서는 고등학교 학생을 대상으로 탐구학습 과정에서 수학적 태도와 수학 창의성에 어떤 변화가 일어나는지를 살펴보았으며, 그 결과는 다음과 같다. 첫째, 문제해결방법에 탐구학습을 투여한 학습집단은 일반 학습집단보다 수학 창의성에 있어서 유의미한 효과를 보였다(p<.05). 둘째, 탐구학습 집단과 일반학습 집단의 수학적 태도는 사전 및 사후의 두 검사에서 모두 유의미한 차이를 보이지 않았다(p<.05).

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젓가락 게임을 활용한 창의성 신장 방안 연구

  • Jeong, Mun-Ja
    • Communications of Mathematical Education
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    • v.19 no.3 s.23
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    • pp.503-516
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    • 2005
  • 이 논문에서는 창의성 신장을 위한 게임자료로서 수학적 개념을 익히고, 수학적 흥미를 진작시킬 수 있는 방안을 연구하였다. 그 일환으로 젓가락 게임에 대하여 연구하였는데, 이 게임의 수학적 규칙을 정리하고, 승리전략에 대하여 알아보고, 여러 가지로 변형하여 보았다.

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A study about the Leikin's method of measuring mathematical creativity (Leikin의 수학적 창의성 측정 방법에 대한 고찰)

  • Ha, Su Hyun;Lee, Kwangho
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.83-103
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    • 2014
  • The purpose of this paper is to find a method of measuring mathematical creativity reasonably. In the pursuit of this purpose, we designed four multiple solution tasks that consist of two kinds of open tasks; 'tasks with open solutions' and 'tasks with open answers'. We collected data by conducting an interview with a gifted fifth grade student using the four multiple solution tasks we designed and analyzed mathematical creativity of the student using Leikin's model(2009). Research results show that the mathematical creativity scores of two students who suggest the same solutions in a different order may vary. The more solutions a student suggests, the better score he/she gets. And fluency has a stronger influence on mathematical creativity than flexibility or originality of an idea. Leikin's model does not consider the usefulness nor the elaboration of an idea. Leikin's model is very dependent on the tasks and the mathematical creativity score also varies with each marker.

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An Analysis on the Perceptions of Creativity in Mathematics of Preservice Elementary School Teachers (초등예비교사의 수학 창의성에 대한 인식 분석)

  • Park, Mangoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.1
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    • pp.81-105
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    • 2015
  • The purpose of this study was to analyze the perceptions of creativity in mathematics of preservice elementary school teachers. Creativity in Mathematics is one of the most important components in mathematics teaching and learning, which has been emphasized in the Principles and Standards for School Mathematics and the 2009 Revised Mathematics Curriculum. For this study, the researcher analyzed reports of creativity in mathematics in mathematics lessons from the perspectives of 55 preservice elementary school teachers. The preservice teachers observed 55 mathematics lessons focusing on creativity in mathematics during their two-week-student-teaching period. The results showed the followings. First, the preservice teachers had a narrow perceptions on creativity in mathematics. Second, observational experiences of mathematics lessons led the preservice teachers to reconsideration of creativity in mathematics. Third, the preservice teachers provided a various strategies to enhance students' creativity in mathematics. The researcher suggested the followings. First, definitions and practices of creativity in mathematics should be included in the teacher education programs. Second, mathematics textbooks should include creativity in mathematics in a sophisticated manner. Third, creativity-rich materials should be developed and distributed to teachers. Finally, well-designed teacher training programs should be necessary.

A Note on Factors of Mathematical Creativity Assessment through Problem Posing (문제설정에서의 수학적 창의성 평가 요소에 대한 소고)

  • Kim, PanSoo
    • Journal of Gifted/Talented Education
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    • v.24 no.6
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    • pp.1053-1071
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    • 2014
  • Problem posing is used to develop the creativity program and adaption for the gifted, and to screen the gifted students in the selection process. However existing creativity assessment factors(fluence, flexibility, originality) has been recognized to have it's limitation to assess the mathematical creativity. To improve the creativity assessment, we propose new set of assessment factors for mathematical creativity test through problem posing. For this study, we let 19 mathematically gifted students to pose two good mathematical problems for a limited time after solving a certain problem so called a reference problem. A week late, we let the subjects, pre-service teachers, and experts to evaluate the problems posed by the subjects, and leave the reasons for evaluating highest mark and lowest mark. With this date, we propose fluence, flexibility, originality, anti-similarity, complexity, elaboration as the set of mathematics creativity assessment factors.

Fostering Mathematical Creativity by Exemplification (예 만들기 활동에 의한 창의적 사고 촉진 방안 연구)

  • Park, JinHyeong;Kim, Dong-Won
    • Journal of Educational Research in Mathematics
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    • v.26 no.1
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    • pp.1-22
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    • 2016
  • This study aims to design an exemplification task to facilitate the students' creative thinking, and to investigate mathematical creativity which emerges from exemplification. In particular, we aim to identify the ways to design exemplification tasks which encourage creative thinking, and characterize mathematical creativity fostered by exemplification. The findings showed that the students' creative thinking related to fluency, flexibility, elaboration, and originality emerged through exemplification.

The Effects of Open-Ended Mathematical Problem Solving Learning on Mathematical Creativity and Attitudes of Elementary Students (개방형 문제해결학습이 초등학생들의 수학적 창의성 및 수학적 태도에 미치는 영향)

  • Seo, YoungMin;Park, Mangoo
    • 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.

Multigroup Generalizability Analysis of Creative Attitude Scale-Korea for Mathematically Gifted and General Students in Middle Schools (수학적 창의성 태도 검사에서 수학영재와 일반학생의 다집단 일반화가능도 분석)

  • Kim, Sungyeun
    • Communications of Mathematical Education
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    • v.31 no.1
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    • pp.49-70
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    • 2017
  • The purpose of this study was to investigate the relative influence of multiple error sources and to find optimal measurement conditions that obtain a desired level of reliability of a creative attitude test in mathematical creativity. This study analyzed the scores of the Creative Attitude Scale-Korea allowed to access publicly of 125 general students and 109 mathematically gifted students by performing a multivariate generalizability analysis. The main results were as follows. First, based on reliability, the Creative Attitude Scale-Korea was measured less precisely for mathematically gifted students. On the contrary, based on the conditional standard error of measurement, it was measured less precisely for general students. However, the Creative Attitude Scale-Korea showed strong reliability in both groups. Second, the optimal weights should adjust to .3, .3, .4 in mathematically gifted students and .4, .4, .2 in general students with three scoring components of divergent attitude, problem solving attitude, and convergent attitude based on the maximum reliability. Third, to approach desirable reliability, it is possible to use one component of divergent attitude in general students but three components of divergent attitude, problem solving attitude, and convergent attitude in mathematically gifted students. Finally this study proposed application plans for the Creative Attitude Scale-Korea and future directions of research.

초등학교 고학년 수학영재의 창의성 신장을 위한 프로그램

  • Sin, Hyeon-Yong;Han, In-Gi;Lee, Jong-Uk
    • Communications of Mathematical Education
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    • v.10
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    • pp.19-30
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    • 2000
  • 초등학교 학생들의 창의성 신장은 수학 교수-학습 과정에서 꼭 고려해야 할 목표들 중의 하나이다. 창의성 신장을 위한 많은 시도들이 있었지만, 창의성 신장을 위한 학습자료들은아직 많은 연구 문제들을 남기고 있다. 본 연구에서는 초등학교 고학년 영재 아동들의 창의성 신장을 위해 100시간 분량으로 개발된 학습 프로그램을 소개하고, 개발된 자료들을 초등학교 교수-학습에 투입하여 얻은 긍정적인 결과들을 제시할 것이다.

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A Study of Mathematically Gifted Student's Perception of Mathematical Creativity (수학 창의성에 대한 초등수학영재들의 인식 연구)

  • Kim, Pan Soo;Kim, Na Ri
    • Journal of Gifted/Talented Education
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    • v.26 no.4
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    • pp.747-761
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    • 2016
  • The purpose of this research is to study the perception of mathematical creativity through gifted elementary mathematics students. The analysis on perception for mathematical creativity was done by testing 200 elementary school students in grades 4, 5, and 6 who are receiving gifted education in elementary mathematics gifted class operated by ${\bigcirc}{\bigcirc}$ City Dept of Education through the questionnaire that was developed based on Rhodes' 4P theory. This survey asked them to name what they think is the most creative from educational programs they have as far received. Then we analyzed the reason for the students' choice of the creativity program and interviewed the teachers who had conducted chosen program. As a result of analyzing the data, these students chose as mathematical creativity primarily creative problem solving, task commitment, and interest in mathematics in such order. This result is explained through analyzing the questionnaire that was based on Rhodes' 4P theory on areas of process, product and press. The perception of mathematical creativity by the gifted mathematical students not only helps to clarify the concept of mathematical creativity but also has implication for future development for gifted education program.