• 한국초등수학교육학회지
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• 제14권2호
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• pp.315-335
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• 2010

본 연구는 수학 교육과정을 근거로 개발한 문제만들기 활동 자료를 이용하여 학생들로 하여금 문제만들기 활동을 하도록 하여 문제해결력과 수학 학습 태도에 미치는 효과를 알아보았다. 실험반은 서울시의 J초등학교 5학년 2개 학급을 선정하여 문제만들기를 실시하고 비교반은 같은 기간 동안 문제만들기를 실시하지 않고 일반적인 교수 학습만을 실시하였다. 사전 사후 검사로서는 문제해결력 검사와 수학 학습 태도 검사를 실시하여 각각 t검증 하였다. 연구 결과 첫째, 수학 문제만들기를 적용한 반이 문제해결력 향상에 있어서 유의미한 효과를 보였다. 둘째, 수학 문제만들기를 적용한 반의 수학 학습 태도에 긍정적인 효과를 보였다. 결론으로, 학생들은 문제만들기를 통하여 문제를 충분히 이해하고 분석하게 되어 어려운 문제를 해결할 수 있는 문제해결력을 갖게 되고, 학생들이 스스로 문제를 만들고 재구성하면서 수학 학습에 적극적으로 참여하게 되어 수학에 대한 태도도 긍정적으로 변화시킨 것으로 볼 수 있다.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제7권2호
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• pp.101-116
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• 2003

In recent days, it is stressed that problem solving ability and inference ability to get a higer accomplishment are very important. The purpose of this research is to explore the affective factors related the problem solving ability and reasoning ability. Also, we explored the difference between the two affective factors focusing on 6th graders in primary school.

• 한국수학교육학회지시리즈A:수학교육
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• 제44권4호
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• pp.565-586
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• 2005

The purpose of this paper is to analyze the selection difference of mathematical problem solving strategy by mathematical learning style, that is, the intellectual, emotional, and physiological factors of students, to allow teachers to instruct the mathematical problem solving strategy most pertinent to the student personality, and ultimately to contribute to enhance mathematical problem solving ability of the students. The conclusion of the study is the followings: (1) Students who studies with autonomous, steady, or understanding-centered effort was able to solve problems with more strategies respectively than the students who did not; (2) Student who studies autonomously or reconfirms one's learning was able to select more proper strategy and to explain the strategy respectively than the students who did not; and (3) The differences of the preference to the strategy are variable, and more than half of the students were likely to select frequently the strategy 'to use a formula or a principle' regardless of the learning style.

• 대한수학교육학회지:학교수학
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• 제4권2호
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• pp.147-160
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• 2002

The purpose of this study is to examine the The correlation between information processing types and mathematical communication abilities / word problem solving abilities. The results obtained are as follows: 1 Simultaneous/continuous information process types showed statistically high correlation with mathematical communication abilities. However, the correlation between simultaneous information process and mathematical communication abilities is a little higher than the correlation between continuous information process and mathematical communication abilities. 2. There is a high correlation between mathematical communication abilities and word problem solving abilities. Especially, speaking ability is much more correlated with four factors of word problem solving than reading, writing and listening, Through this study, we can conclude that information process types should be consider ed in order to improve mathematical communication abilities and mathematical communication abilities is essential in word problem solving.

• East Asian mathematical journal
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• 제35권2호
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• pp.115-139
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• 2019

In problem solving education, sentence problems are a tool for comprehensive evaluation of mathematical ability. The sentence problems refer to the problem expressed in sentence form rather than simply a numerical representation of mathematical problems. In order to solve sentence problems with a mixture of mathematical terms and general language, problem-solving ability including the ability to understand the meaning of sentences as well as the mathematical computation ability is required. Therefore, it is important to analyze syntactic elements from the linguistic aspects in sentence problems. The purpose of this study is to investigate the complexity of sentence problems in the length of sentences and the grammatical complexity of the sentences in the depth of the sentences by analyzing the 51 sentence problems presented in the $4^{th}$ grade mathematics textbook(2015 revised curriculum). As a result, it was confirmed that it is necessary to examine the length and depth of the sentence more carefully in the teaching and learning of sentence problems. Especially in elementary mathematics, the sentence problems requires a linguistic understanding of the sentence, and therefore it is necessary to consider syntactic elements in the process of developing and teaching sentence problems in mathematics textbook.

• 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.

• 한국수학교육학회지시리즈A:수학교육
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• 제51권4호
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• pp.351-375
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• 2012

This research is a case study of the changes of students's problem solving ability and affective characteristics when we apply to general students MG-CPS model which is creative problem solving model for gifted students. MG-CPS model which was developed by Kim and Lee(2008) is a problem solving model with 7-steps. For this study, we selected 7 first grade students from girl's high school in Seoul. They consisted of three high level students, two middle level students, and two low level students and then we applied MG-CPS model to these 7 students for 5 weeks. From the study results, we found that most students's describing ability in problem understanding and problem solving process were improved. Also we observed that high level students had improvements in overall problem solving ability, middle level students in problem understanding ability and guideline planning ability, and that low level students had improvements in the problem understanding ability. In affective characteristics, there were no significant changes in high and middle level classes but in low level class students showed some progress in all 6 factors of affective characteristics. In particular, we knew that the cause of such positive changes comes from the effects of information collection step and presenting step of MG-CPS model.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권5호
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• pp.623-636
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• 2003

Metacognition is defined to be 'thinking about thinking' and 'knowing what we know and what we don't know'. It was verified that the metacognitive abilities of high school students can be improved via instruction. The purpose of this article is to investigate a new method for activating the metacognitive abilities that play a key role in the Mathematical Problem Solving Process(MPSP). Hyunsung participated in the MPSP using Visual Basic Programming. He actively participated in the MPSP. There are sufficient evidences about activating the metacognitive abilities via the activity processes and interviews. In solving mathematical problems, he had basic metacognitive abilities in the stage of understanding mathematical problems; through the experiments, he further developed his metacognitive abilities and successfully transferred them to general mathematical problem solving.

• 한국수학교육학회지시리즈A:수학교육
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• 제48권4호
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• pp.455-467
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• 2009

During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The test questions are formulated into several areas of questioning-types which can reveal rather different result. The lower level questions are to investigate individual ability to solve multiple mathematical problems while using "mathematical thought." During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The scope of this case study is to present a desirable model in solving mathematical problems and to improve teaching methods for math teachers.

• 한국학교수학회논문집
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• 제12권3호
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• pp.291-305
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• 2009

본 고에서는 학교 현장에서 보다 쉽게 학생들의 메타인지적 접근이 가능할 수 있도록 선행 연구와 문헌 검토를 통하여 메타인지적 발문을 고안하고 이에 따라 학생들에게 훈련을 실시하였다. 이러한 목적은 메타인지가 수학적 사고 과정에 중요한 역할을 하는 도구임을 제안하고, 학생들의 메타인지 능력을 향상시킴으로써 수학적 사고력을 신장시킬 수 있다는 근거를 마련하는 것이다. 두 가지 사례를 들어, 문제해결 과정에서 메타인지적 활동의 훈련을 통하여 학생들의 수학적 사고 과정에서 나타나는 메타인지를 분석함으로서 자신의 문제 해결 과정에서 필요한 전략과 절차를 의식적으로 모니터링하며 조정하고 통제하려는 모습을 구체적인 사례와 함께 제시하였다.