• Title/Summary/Keyword: mathematical creativity

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Effects of an Engineering-Focused STEAM Program Based on the Project Approach for Young Children on Their Scientific Inquiry Ability, Mathematical Problem-Solving Ability, and Creativity (유아 대상 프로젝트 접근법 기반 공학적 STEAM 프로그램이 유아의 과학적 탐구능력, 수학적 문제해결력, 창의성에 미치는 효과)

  • Kwangjae Yu;Jihyun Kim
    • Korean Journal of Childcare and Education
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    • v.19 no.4
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    • pp.29-52
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    • 2023
  • Objective: This research aims to examine the effect of a young children's engineering-focused STEAM program based on the project approach - a program that constructs components aligned with children's interests in their play through an engineering design process - on their scientific inquiry ability, mathematical problem-solving ability, and creativity. Methods: In this research, 42 five-year-old children from a public kindergarten in S district, I city, were randomly divided into experimental and comparative groups, each with 21 children. The engineering-focused STEAM program was conducted from April 18 to June 10, 2022, with the experimental group exploring the 'car' theme and the comparison group focusing on a different theme. The study employed an independent sample t-test and analysis of covariance(ANCOVA), using the pretest as a covariate to control variables. Results: The children-selected 'cars' themed engineering-focused STEAM program was effective in enhancing their scientific inquiry ability, mathematical problem-solving ability and creativity. Conclusion/Implications: The engineering-focused STEAM program, which emerges from young children's interesting daily play, had positive effects on enhancing their scientific inquiry ability, mathematical problem-solving ability, and creativity. This research can serve as fundamental data for developing education programs focused on engineering within the STEAM framework, guided by children's emergent play.

Professional development of an experienced teacher through research community activities: focusing on task modification and implementation to facilitate mathematical creativity (연구공동체 활동을 통한 한 경력교사의 전문성 신장 : 수학적 창의성 촉진을 위한 대푯값 과제의 변형과 실행을 중심으로)

  • Moon, SungJae;Noh, JeongWon;Ro, YeSol;Lee, KyeongHwa
    • The Mathematical Education
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    • v.58 no.4
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    • pp.545-566
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    • 2019
  • The purpose of this study is to show that research community activities can contribute to the professional development in respect of average concepts and mathematical creativity. In the community, activities were undertaken to transform the existing task into the task that contributes to the manifestation of creativity. In this process, researchers tried to connect the theory with the practice of the class, and the teacher acted as an active learner. The findings show that the teacher who had difficulty in teaching average could overcome difficulties, and also derived the way of task modification and strategies necessary for teaching average. The modified task induced improvements in students' achievement levels, which led to change in teachers' perspective on the relationship between mathematical creativity and learning. Research community activities have been shown to have contributed to improvements with regard to both teaching the average and promoting mathematical creativity.

A Study on the Effect of playing Number Puzzle to Develop Mathematical Creativity and Creative Attitude in Mathematics for 6th Grader (숫자퍼즐 활동이 초등학교 6학년 학생들의 수학적 창의성과 수학에서의 창의적 태도에 미치는 영향)

  • Baek, Tae Jin;Lee, Kwangho
    • Education of Primary School Mathematics
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    • v.21 no.2
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    • pp.93-109
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    • 2018
  • The purpose of this study is to develop the number puzzle program and the mathematical creativity test and to analyze the effects of the mathematical creativity and the creative attitude in mathematics. To accomplish this aim, the six-grade students elementary school of thirty-six participated and this students participated Magic square, Sudoku, KenKen Puzzle activities in to the morning activity time for 30 minutes every morning and the pre-test of before activity and the post-test of after activity were collected. The number puzzle activity helps improve the mathematical creativity and the creative attitude in mathematics of the elementary school students and improve the mathematical creativity of for female students rather than for male students.

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.

Ability to Shift a Viewpoint and Insight into Invariance in Stage of Mathematical Problem Solving Process (수학 문제 해결 과정에서 사고(발상)의 전환과 불변성의 인식)

  • Do, Jong-Hoon
    • The Mathematical Education
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    • v.48 no.2
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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.

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An Analysis on Effects of the Mindmap Note-Taking for the Formation of the Mathematical Concepts Structure and the Mathematical Creativity. (마인드맵 노트활동이 수학개념구조 형성과 수학적 창의력에 미치는 효과분석)

  • Kim Won Kyung;Song Soon Ja
    • School Mathematics
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    • v.6 no.4
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    • pp.325-344
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    • 2004
  • This study was carried out to investigate effects of the mindmap note-taking for the formation of the mathematical concepts structure and the matjematical creativity. Two classes were randomly chosen for this study from the third grade students of a middle school located in a medium size city. Thirty one lecture hours of the mindmap note-taking on the quadratic equation and functions were administered to the experimental class of 41 students, while same lecture hours of the ordinary instruction on the same contents were administered to the control class of 40 students. It was shown from this experiment that there ware significant evidences of improvement both in the formation of students' mathematical concepts structure and mathematical creativity through the mindmap note-taking lecture. Hence, the mindmap note-taking lecture is suggested for the improvement in the formation of student's mathematical concepts structure and mathematical creativity.

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A Study on the Development and Effect of Number-Operation Games for Mathematical Creativity of Gifted Students (초등 수학 영재의 창의성 향상을 위한 수 연산 게임 개발 및 적용에 관한 연구)

  • Kim, Yong Jik;Cho, Minshik;Lee, Kwangho
    • Education of Primary School Mathematics
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    • v.19 no.4
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    • pp.313-327
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    • 2016
  • The purpose of this study is to develop the number-operation games and to analyze the effects of the games on mathematical creativity of gifted elementary students. We set up the basic direction and standard of mathematical gifted creativity program and developed the 10 periods games based on the mathematically gifted creative problem solving(MG-CPS) model. And, to find out the change of students' creativity, the test based on the developed program and one group pretest-posttest design was conducted on 20 gifted students. Analysis of data using Leikin's evaluation model of mathematical creativity with Leikin's scoring and categorization frame revealed that gifted students's creativity is improved via the number-operation games.

A Study on the Creativity and Convergence Competency Represented in the New Seventh Grade Mathematics Textbook (2015 개정 수학 교과서에 반영된 창의·융합 역량 요소 탐색 - 중학교 1학년 그래프 단원을 중심으로 -)

  • Hwang, Hye Jeang
    • Communications of Mathematical Education
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    • v.32 no.4
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    • pp.477-493
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    • 2018
  • The six core competencies included in the mathematics curriculum Revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the creativity and convergence competency is very important for students' enhancing much higher mathematical thinking. Based on the creativity and convergence competency, this study selected the five elements of the creativity and convergence competency such as productive thinking element, creative thinking element, the element of solving problems in diverse ways, and mathematical connection element, non-mathematical connection element. And also this study selected the content(chapter) of the graph in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the five elements of the creativity and convergence competency were shown in each textbook.

A Comparison between Korean and American Sixth Grade Students in Mathematical Creativity Ability and Mathematical Thinking Ability (한국과 미국의 초등학교 6학년군 학생들의 수학 창의성과 수학적 사고력의 비교)

  • Lee, Kang-Sup;Hwang, Dong-Jou
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.245-259
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    • 2011
  • In this study, the instrument of mathematical creative problem solving ability test were considered the differences between Korean and American sixth grade students in mathematical creativity ability and mathematical thinking ability. The instrument consists of 9 items. The participants for the study were 212 Korean and 148 American students. SPSS were carried out to verify the validities and reliability. Reliabilities(Cronbach ${\alpha}$) in mathematical creativity ability is 0.9047 and in mathematical thinking ability is 0.9299 which were satisfied internal validity evaluation on the test items. Internal validity were analyzed by BIGSTEPS based on Rasch's 1-parameter item response model. The results of this study can serve as a foundation for understanding the Korean and American students differences in mathematical creativity ability and mathematical thinking ability. Especially we get the some informations on mathematical creativity ability for American's fifth grade to seventh grade students.

A Study on the Manifestation Process Model Development of Group Creativity among Mathematically Gifted Students (수학영재의 집단창의성 발현 모델 개발)

  • Sung, Jihyun;Lee, Chonghee
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.557-580
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    • 2017
  • The purpose of this study is developing the manifestation process model of group creativity among mathematically gifted students. Therefore, I designed the manifestation process model of group creativity by researching the existing literatures on group creativity and mathematical creativity. The manifestation process model of group creativity was applied to mathematically gifted students' class. By analyzing students' response, the manifestation process model of group creativity was improved and concretized. In conclusion, the process of a combination of contributions was concretized and the major variables on group creativity such as a diversity, conflict, emotionally supportive environment and social comparison were verified. In addition, some reflective processes was discovered from a case study.