• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.39-61
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• 2012

Mathematical creativity is essential in school mathematics and mathematics curriculum and ensures the growth of mathematical ability. Therefore mathematics educators try to develop students' creativity via mathematics education for a long time. In special, 2011 revised mathematics curriculum emphasizes mathematical creativity. Yet, it may seem like a vague characterization of mathematical creativity. Furthermore, it is needed to develop the methods for developing the mathematical creativity. So, the goal of this paper is to search for teaching and learning models for developing the mathematical creativity. For this, I discuss about issues of mathematical creativity and extract the factors of mathematical creativity. The factors of mathematical creativity are divided into cognitive factors, affective factors and attitude factors that become the factors of development of mathematical creativity in the mathematical instruction. And I develop 8-teaching and learning models for development of mathematical creativity based on the characters of mathematics and the most recent theories of mathematics education. These models make it crucial for students to develop the mathematical creativity and create the new mathematics in the future.

• 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.

• School Mathematics
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• v.15 no.3
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• pp.551-568
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• 2013

The purpose of this study is to verify the research trends on 101 articles about mathematical creativity published in domestic journals. The analysis criteria are as follows: (1)What kind of terms the articles use to refer to the creativity in mathematics education, (2)Whether the researchers conceptualize such the terms or not, (3)Whether the definitions are domain-specific or not, (4)What perspectives, categories and levels of the articles have on creativity. The results of this study show the following. First, numerous articles used 'mathematical creativity' in order to point to the creativity in mathematics education. Second, among the 101 selected articles, 60 (59.4%) provided an explicit definition of the mathematical creativity and 19(18.8%) provided an implicit definition. Among the 79 articles, only 43(54.4%) provided domain-specific definitions. Second, the percentage of articles preferring one perspective over the other 3 perspectives were similar. Third, the rate of articles which focused on press(environment) of all categories (person, process, product, press) was low. Fourth, regarding the levels of creativity, most articles were done on little-c creativity level, on the other hand, the articles having an interest in mini-creativity were very rare. Based on these results, necessities of explicit and domestic-specific definition, whole approach of mathematical creativity, and articles focusing on the mini-creativity level should be reported.

• Communications of Mathematical Education
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• v.19 no.1 s.21
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• pp.241-251
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• 2005

수학적 창의성의 평가에 대한 연구에 있어서 이를 직접 다루기보다는 주로 일반적 창의성에 기반을 두고 창의성의 증진이나 육성 방안의 검증을 위한 검사 문항의 연구가 대부분이었다. 따라서 본고에서는 수학적 창의성이 일반적 창의성과 다르게 가지는 요인을 언급하고, 수학적 창의성의 평가에 대한 모델을 제안하고자 한다. 평가목표를 제시하고 수학적 창의성의 하위 구성요소인 창의적 사고력과 창의적 태도에 대한 검사가 일관되게 연결되어, 궁극적으로 수학적 창의성의 평가가 이루어져야 한다. 본고에서는 우선 창의적 사고력에 대한 평가에 관하여 선행연구를 고찰하고, 평가에서 개방형 문제가 중요함을 역설하면서 계속적인 문항 개발이 필요함을 강조하고자 한다.

• Communications of Mathematical Education
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• v.18 no.3 s.20
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• pp.81-94
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• 2004

수학적 창의성의 개념을 과정적 정의로서 창의적 문제해결력으로 규정하여 수학적 영재의 판별을 문제 발견의 창의성과 문제해결의 창의성으로 나누고 각각에 대한 판별검사 도구에 대하여 논의하였다.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.2
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• pp.253-267
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• 2012

In this paper, we primarily focus on the perspectives about creative process, which is how mathematical creativity emerged, as one aspect of mathematical creativity and then present a desirable task characteristic to measure and program characteristics to develop mathematical creativity. At first, we describe domain-generality perspective and domain-specificity perspective on creativity. The former regard divergent thinking skill as a key cognitive process embedded in creativity of various discipline domain involving language, science, mathematics, art and so on. In contrast the researchers supporting later perspective insist that the mechanism of creativity is different in each discipline. We understand that the issue on this two perspective effect on task and program to foster and measure creativity in mathematics education beyond theoretical discussion. And then, based on previous theoretical review, we draw a desirable characteristic on instruction program and task to facilitate and test mathematical creativity, and present an applicable task and instruction cases based on Geneplor model at the mathematics class in elementary school. In conclusion, divergent thinking is necessary but sufficient to develop mathematical creativity and need to consider various mathematical reasoning such as generalization, ion and mathematical knowledge.

• Communications of Mathematical Education
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• v.18 no.3 s.20
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• pp.45-56
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• 2004

본고는 수학적 창의성과 관련한 논문으로 이를 창의적인 사람, 창의적인 산출물, 창의적인 과정이란 일반 창의성 연구자들이 연구하고 있는 분야로부터 유추적으로 논의를 시도하였다. 이런 접근으로부터, 얻을 수 있는 몇 가지 가정들은 다음과 같은 것이 있다. 첫 번째, 일반 보통아들을 대상으로 하는 공교육에서도 창의성 교육을 할 수 있으며, 이는 수학교과에도 적합한 진술이다. 두 번째, 현상학적 입장으로 부터 학교에서 교수${\cdot}$ 학습되고 있는 학교수학이 학생들 입장에서 보면 학습해야 할 필요가 있는 적절하고 새로운 지식이란 점을 공고히 해 주었다. 또한, 여기서 강조한 것은 새롭고 적절한 지식이 완성된 지식뿐만 아니라 발생상태 그대로의 지식 즉, 과정으로서의 지식도 포함하고 있음을 제안하였다. 세 번째, 수학자가 수학을 탐구하는 과정을 창의성 연구자들이 보듯이 인지과정으로 보는 대신에 한 수학적 아이디어를 이로부터 하나의 완성된 수학적 지식을 완성하기까지의 수학적 사고과정으로 보는 것이 수학교육적 의미에서 교수${\cdot}$ 학습에 의미가 있음을 살펴보았다.

• School Mathematics
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• v.16 no.1
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• pp.1-17
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• 2014

Mathematical creativity in school mathematics is connected with problem solving. The purpose of this study was to analyse elementary students' the mathematical creativity using multiple solution tasks which required to solve a mathematical problem in different ways. For this research, I examined and analyzed the response to four multiple solution tasks according to the evaluation system of mathematical creativity which consisted of the factors of creativity(fluency, flexibility, originality). The finding showed that mathematical creativity was different between students with greater clarity. And mathematical creativity in tasks was different. So I questioned the possibility of analysis of students' the mathematical creativity in mathematical areas. According to the evaluation system of mathematical creativity of this research, mathematical creativity was proportional to the fluency. But the high fluency and flexibility was decreasing originality because it was easy for students to solve multiple solution tasks in the same ways. So, finding of this research can be considered to make the criterion in both originality in rare and mathematical aspects.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.803-822
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• 2009

Creativity is emerging as one of the key components in every areas. In mathematics education, creativity or mathematical creativity is emphasized even though the definition of the term is inconsistence among every research. The purpose of this research was to identify the nature of mathematical creativity and provide the ways of strengthening it in the mathematics classroom. For this, students' mathematical strategies and problems in the elementary mathematics textbook were analyzed. The results showed that mathematically gifted students used a limited strategies and the problems in the textbooks were too simple to stimulate students' mathematical creativity. For the enhancement of students' mathematical creativity, we need to develop mathematically rich tasks and refine teacher education programs.

• Journal of the Korean School Mathematics Society
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• v.8 no.3
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• pp.327-341
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• 2005

Mathematical creativity should be assessed base on the general creativity considering the features of mathematics. In researching of the assessment of mathematical creativity, the direction should be matched with this view. In this paper, we focus on the creative thinking as cognitive aspect and the creative attitude as dispositional aspect in mathematics. And we have reviewed the various researches and have suggested the frame of the assessment of mathematical creativity.