• Title/Summary/Keyword: mathematical creativity

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An Analysis of Mathematical Competencies Intended in Elementary Mathematics Textbooks for Third and Fourth Grade (초등학교 3~4학년군 수학 교과서에 의도된 교과 역량 분석)

  • Pang, JeongSuk;Hwang, JiNam
    • Education of Primary School Mathematics
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    • v.24 no.1
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    • pp.21-41
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    • 2021
  • Despite the necessity and significance of mathematical competencies in the 2015 revised mathematics curriculum, there has been lack of studies analyzing textbooks in which such competencies are intended in detail through various tasks. Given this background, this paper analyzed how mathematical competencies and their sub-elements have been represented in the mathematics textbooks for third and fourth grade. The findings of this study showed that 'communication' was the most prevalent mathematical competence, followed by 'reasoning', 'creativity and integration', 'information processing', 'attitude and practice', and 'problem solving' in order. This study also explored the characteristics of mathematical competencies in the textbooks by analyzing which sub-elements per competence were popular. With illustrative examples, this paper is expected to provide for textbook developers with implications on how to represent mathematical competencies throughout the textbooks.

STEAM on the Viewpoint of Didactics of Mathematics (수학교육학적 관점에서 바라본 STEAM 교육)

  • Seo, Dong Yeop
    • Journal of Educational Research in Mathematics
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    • v.24 no.3
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    • pp.429-442
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    • 2014
  • In this study we reviewed the backgrounds, main claims, and teaching and learning of STEAM education, and analysed STEAM education on the viewpoint of didactics of mathematics. The core competences of STEAM are creativity, communication, convergence, and caring. We found that the theoretical background of caring among these competences is relatively very weak, and the main principles for teaching and learing are mainly included the theories of didactics of mathematics and of creativity. We need to approach very carefully and progressively to creativity education through STEAM, and also need to study on the background of the mathematical creativity.

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Design of Educational Game for Development of Creativity (창의력 계발을 위한 학습게임의 설계)

  • Ahn, Seong-Hye;Song, Su-Mi
    • The Journal of the Korea Contents Association
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    • v.7 no.9
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    • pp.1-9
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    • 2007
  • Recently, the primary school training courses requires creative human being who is able to solve problem in accordance with rapidly changing society. Accordingly, it needs development of edutainment contents that can develop creativity and heighten educational effect as attracting learner's interest. This paper intends to design educational game which can develop creativity. Method of research is based on the concept of creativity and theory of multiple intelligence. First, I pulled out educational elements of edutainment game which can develop ability to solve synthetic problem and then drew interest elements of edutainment game by combined game with form of cartoon. Secondly, creativity studying area set the 5 learning area of verbal, visual, mathematical, logical and analytic creativity and then, a course of learning was designed to have each 3 details of 5 teaming areas of creativity. Finally, it presented production direction of educational game by combined with 4 elements of the interest that is an avatar, achievement of a mission, a time limit and win a point.

An analysis on the products and process losses of group creativity among mathematically gifted students (수학영재의 집단창의성 발현에서 나타나는 산출 및 과정 손실 분석)

  • Sung, JiHyun;Lee, ChongHee
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.3
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    • pp.505-530
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    • 2017
  • Although mathematically gifted students have potential and creative productivity, they might not manifest group level creative synergy. To manifest group creativity among them, the manifestation process should be facilitated and the process losses should be minimized. The purpose of this study is looking for the method to facilitate the manifestation process of group creativity and minimize the process losses of it. To do this, a case study method was adopted. The products and process losses of the manifestation process of group creativity was analysed. In conclusion, the processes and products of group creativity were concretized and the process losses were analysed by social/motivational and cognitive factors. In addition, the justification and agreement were necessary for the manifestation process of group creativity among mathematically gifted students.

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On the Education of Talented Children for the Creativity Development by Using CAS

  • Takahashi, Tadashi
    • Research in Mathematical Education
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    • v.13 no.1
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    • pp.1-4
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    • 2009
  • We are considering the discovery and the promotion of the talent from the viewpoint of education of talented children. The education that develops the talent is from "Individual needs for all children." Computer Algebra System (CAS) can be used as a new possibility in the education that develops the talent. We will need to take advantage of the research results from cognitive science. In order to fully utilize CASs in education, teaching methods that are based on cognitive science will be needed, and these are clearly different from those used in paper and pencil teaching.

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Korean Primary School Teachers' Conceptions of Foundations and Creativity in Mathematics (한국 초등학교 교사의 수학의 기본과 창의성에 대한 인식)

  • Park, Mangoo
    • The Mathematical Education
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    • v.52 no.3
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    • pp.399-422
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    • 2013
  • 이 연구의 목적은 수학 교수 학습에서 수학에서의 기본과 창의성에 대한 한국 초등교사들의 인식에 대하여 분석해 보는 것이다. 모든 국가의 경제나 교육에 있어서 수학에서의 기본과 창의성을 강화하는 것이 가장 중요한 문제이다. 그 동안 수학에서의 기본과 창의성에 대한 한국 초등교사들의 인식에 대하여 연구한 사례는 거의 없었다. 이 연구를 위한 연구 방법으로 116명의 초등학교 교사들에게 설문지를 통하여 수학에 대한 기본 및 창의성에 대한 인식을 분석하였고, 개방형 질문을 사용하여 필요한 교사들을 대상으로 반구조적인 면담을 실시하였다. 교사들이 수학의 기본과 창의성에 대하여 중요한 것으로 강조를 하고 있으나 수학과의 교수 학습에서 학생들에게 이를 적절하게 강화시키는 데는 어려움을 가지고 있었다. 연구의 결과 교사들이 수학의 기본과 창의성에 대하여 교수 학습에서 학생들에게 이를 적절하게 지도하는 할 수 있도록 하기 위한 예비교사 및 현직교사들의 교육이 필요함을 지적하였다. 그리고 수학교육에서 학생들의 기본 및 창의성을 신장을 돕기 위하여 교사들에게 풍부한 자료의 제공이 필요함을 제안하였다.

A Study of Gender Differences in Mathematical Creativity (수학적 창의력에서의 성별 차이에 관한 연구 - 다답형 문항에 대한 반응을 중심으로 -)

  • Kwon, Oh-Nam;Song, Sang-Hun;Park, Kyung-Mee;Im, Hyung;Huh, Ra-Keum
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.723-743
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    • 1998
  • This study was designed for the purpose of finding some gender differences in the mathematical creative problem-solving ability. For this research, we selected two problems. One is "counting marbles" of algebra, and the other is "drawing figures" of geometry. And we examined and analyzed the written responses of the students with classifying the four categories; fluency, flexibility, originality, and elaboration. These are the factors of the creativity. There were no significant gender differences in the fluency, flexibility, and originality in both problems. but girls got significantly higher scores than boys in elaboration. In conclusion, boys tried unusual and special responses but gave many incorrect and many similiar answers, whereas girls had low scores in high originality but gave less incorrect and less overlapping answers than boys did.swers than boys did.

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The Function of Creativity in the Solutions of Irregular Sequence Problems among Elementary School Mathematics Teachers and Teacher-Trainees in other Disciplines

  • Gazit, Avikam;Patkin, Dorit
    • Research in Mathematical Education
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    • v.13 no.4
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    • pp.309-330
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    • 2009
  • The article aims to present findings of a study which has examined the ability of elementary school mathematics teachers and of teacher-trainees in other disciplines to solve irregular challenging problems of sequences in general rather than numerical sequences only. The findings show that mathematics teachers succeed to cope with unusual assignments when the requirements of the problems presented to them are analogous to irregular problems. However, when the problems require a change in the thinking procedure in the direction of creative thinking, there is a considerable decrease in performance. Another finding shows that, although teacher-trainees succeed less in solving the presented problems, they give incorrect solutions which do indicate creative thinking. An inevitable conclusion based on the research findings is that teacher training institutions should enhance and reinforce multi-directional. branching out and creative thinking competences.

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Exploring the future direction of Math Education in AlgeoMath (알지오매스(AlgeoMath)에 담긴 미래 수학교육의 방향 탐색)

  • Lee, Hwan Chul
    • East Asian mathematical journal
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    • v.35 no.4
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    • pp.387-406
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    • 2019
  • The Korea Foundation for the Advancement of Science and Creativity(KOFAC) developed AlgeoMath, a dynamic geometry software, with support from the Ministry of Education and 17 municipal and provincial education offices. Starting Nov. 7, 2018, AlgeoMath can be used for free by anyone. This study summarizes various discussions on the future direction of math education. The four aspects of the curriculum, textbook, teaching and learning, and assessment were explored on how AlgeoMath could contribute in realizing the future direction of math education. We confirmed that AlgeoMath can faithfully fulfill its role as a tool for changing math education, and we looked at what should be emphasized more and what should be complemented.

A study on the Circular art using a numeral operation for the mathematical gifted - Focused on the design of a circle using GSP - (초등수학 영재학생의 자연수의 연산을 활용한 원형 디자인 - GSP를 활용한 원 디자인을 중심으로 -)

  • Park, Joog-Youll;Lee, Heon-Soo
    • Education of Primary School Mathematics
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    • v.15 no.1
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    • pp.31-40
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    • 2012
  • In this paper, we developed teaching learning models using a numeral operation for the mathematical gifted focused on the design of a circle using GSP and investigated effects of this models. This model gave gifted-students to be able to produce creative outputs with mathematical principles and practicality and beauty of mathematics. We found following facts. Firstly, a developed teaching-learning model improves a mathematical gifted student's mathematical creativity as analytic thinking and deductive inference. Secondly, a circular design using GSP helps gifted students to understand the abstract rules because mathematical patterns was represented visually by a circular design. Lastly, a circular design using a numeral operation is helpful to gifted students revealing to creativity and beauty of mathematics.