• 한국수학교육학회지시리즈A:수학교육
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• 제40권2호
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• pp.253-263
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• 2001

Developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recent performance based on assessment has focused on the teaching and learning environment in school, emphasizing student's self construction of their learning and its process. Because of this reason, people related to mathematics education including math teachers are taught to recognize the fact that the degree of students'acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) should be estimated formally in math class. However, due to the lack of an evaluation tool for estimating the degree of their thinking skills, efforts at evaluating student's degree of mathematics thinking skills and strategy acquisition failed. Therefore, in this paper, mathematical thinking was studied, and using the results of study as the fundamental basis, mathematical thinking process model was developed according to three types of mathematical thinking - fundamental thinking skill, developing thinking skill, and advanced thinking strategies. Finally, based on the model, evaluation factors related to essential thinking skills such as analogy, deductive thinking, generalization, creative thinking requested in the situation of solving mathematical problems were developed.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제17권4호
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• pp.291-307
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• 2013

Piaget's revolutionary study on the cognitive development of children has focused on the development of logic. Logical operations and a variety of classifications based on the set of accepted rules involve convergent thinking. Children and adults have logical and creative thinking which deal with a reality of thinking. This study aims to examine a cognitive structure of students, which is closely related to the Piaget's cognitive development theories of students when creative thinking. Students were given an open mathematical problem and were expected to be able to take advantage of sensitivity, fluency, flexibility, originality, and elaboration which can be seen as clearly of their structure cognitive.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권5호
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• pp.647-672
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• 2003

This study sought to determine the impact of the graphing calculator on prospective math-teachers' mathematical thinking while they engaged in the exploratory tasks. To understand students' thinking processes, two groups of three students enrolled in the college of education program participated in the study and their performances were audio-taped and described in the observers' notebooks. The results indicated that the prospective teachers got the clues in recalling the prior memory, adapting the algebraic knowledge to given problems, and finding the patterns related to data, to solve the tasks based on inductive, deductive, and creative thinking. The graphing calculator amplified the speed and accuracy of problem-solving strategies and resulted partly in students' progress to the creative thinking by their concept development.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제13권1호
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• pp.5-12
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• 2009

Mathematical creativity is the most important factor for the advancement of mathematics. Only creative mind can produce creative results. But not much research work has been done in this direction. The present author has taken a scheme of developing a mathematical creativity test to identify creative children in mathematics and to find the relationships of psychoticism, neuroticism, intelligence, ability to achieve in mathematics and general creativity with mathematical creativity and their composite effect on it over a population of Bengali medium school students. In this approach, Bengali adaptation of English version of the "Verbal Test of Creative Thinking" by Mehdi [Mehdi, B. (1985). Manual of verbal test of creative thinking (revised edition). Agra, India: National Psychological Corporation.] has been completed. Works of adapting intelligence test, developing mathematical creativity test, adapting personality test in Bengali are in process. Relationships are to be found later.

• 영재교육연구
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• 제8권2호
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• pp.69-89
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• 1998

The purpose of this study is to develop a test which can be used in identification of the gifted students in the area of mathematics. This study was carried out for two years from 1996. Mathematical giftedness is, in this study, regarded as a result of interaction of mathematical thinking ability, mathematical creativity, mathematical task committment, background knowledge. This study presumed that mathematical thinking ability is composed of seven thinking abilities: intuitive insights, ability for information organization, ability for visualization, ability for mathematical abstraction, inferential thinking ability(both inductive and deductive thinking abilities), generalization and application ability, and reflective thinking. This study also presupposed that mathematical creativity is composed of 3 characteristics: fluency, flexibility, originality. The test for mathematical creative problem solving ability was developed for primary, middle, and high school students. The test is composed of two parts: the first part is concentrated more on divergent thinking, while the second part is more on convergent thinking. The major targets of the test were the students whose achievement level in mathematics belong to top 15~20% in each school. The goodness of the test was examined in the aspects of reliability, validity, difficulty, and discrimination power. Cronbach $\alpha$ was in the range of .60~.75, suggesting that the test is fairly reliable. The validity of the test was examined through the correlation among the test results for mathematical creative problem solving ability, I. Q., and academic achievement scores in mathematics and through the correlation between the scores in the first part and the scores in the second part of the test for mathematical creative problem solving ability. The test was found to be very difficult for the subjects. However, the discrimination power of the test was at the acceptable level.

• 대한수학교육학회지:수학교육학연구
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• 제26권1호
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• pp.1-22
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• 2016

본 연구에서는 예 만들기 활동이 창의적 사고를 촉진하는 것이 가능한지 이론적으로 타진하고, 가능하다면 어떤 과제를 설계하여 촉진할 수 있으며, 실제 예 만들기 활동에 의해 창의적 사고는 어떠한 방식으로 드러나는지 확인하는 데 목적을 둔다. 연구 결과, 학생들이 다양한 예를 생성하고, 각자 생성한 예를 검토, 수정하고 개선하면서 좀 더 일반적인 예를 모색하며, 정당화하는 장면이 확인되었다. 그리고 이러한 예 만들기 과정에서 수학적 창의성의 요인들인 유창성, 유연성, 독창성, 정교성의 발현을 확인할 수 있었다.

• 한국수학교육학회지시리즈A:수학교육
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• 제43권4호
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• pp.399-404
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• 2004

Mathematical creativity is a main topic which is studied within mathematics education. Also it is important in learning school mathematics. It can be important for mathematics teachers to view mathematical creativity as an disposition toward mathematical activity that can be fostered broadly in the general classroom environment. In this article, it is discussed that creativity-enriched mathematics instruction which includes creative problem-solving and problem-posing tasks and activities can be guided more creative approaches to school mathematics via routine problems.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제13권4호
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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.

• 한국학교수학회논문집
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• 제17권4호
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• pp.717-746
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• 2014

21세기 지식 기반 사회에 적합한 인재는 자기주도적으로 지적 가치를 창출할 수 있는 자율적이고 창의적인 사고력을 갖춘 사람으로, 수학교육 현장에서는 학생들의 창의사고력이 강조되고 있다. 이러한 창의사고력은 자신의 사고과정을 모니터하고 조절 통제하는 메타인지능력과 밀접한 관련이 있다. 이에 본고에서는 메타인지와 관련된 여러 연구결과들의 통합을 통해 '메타인지능력과 수학적 사고력과의 상관관계, 메타인지 전략을 활용한 교수 학습 방법 및 그 효과, 메타인지 능력 향상을 통한 수학적 사고력 신장 방안'을 고찰하고자 하였다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권1호
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• pp.51-65
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• 2010

Open-ended problems can foster deeper understanding of mathematical ideas, generating creative thinking and communication in students. High-order thinking tasks such as open-ended problems involve more ambiguity and higher level of personal risks for students than they are normally exposed to in routine problems. To explore the classroom-based factors that could support or inhibit such higher-order processes, this paper also describes two cases of Singapore primary school teachers who have successfully or unsuccessfully implemented an open-ended problem in their mathematics lessons.