• Journal of the Korean Data and Information Science Society
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• 제19권4호
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• pp.1101-1110
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• 2008

The present paper investigates about the formation of the logical thinking and the intuitive thinking in mathematical concepts with reference to secondary talented students (students aged 16$\sim$17 years). As a main result, we conclude that their preference between the logical and the intuitive thinking does not related to the distinction of the school level and sex, while their consistence between them relates.

• 충청수학회지
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• 제25권1호
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• pp.135-140
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• 2012

In this paper, we introduce the concepts of $DC^{p}_{k}$-spaces for maps which are the dual concepts of $C^{f}_{k}$-spaces for maps, and characterize $DC^{p}_{k}$-spaces for maps using the dual Gottlieb sets for maps and the LS cocategories.

• 대한수학회논문집
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• 제24권4호
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• pp.523-528
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• 2009

In this paper, we consider the existence of solutions to some generalized vector quasi-equilibrium-like problem under a c-diagonal quasi-convexity assumptions, but not monotone concepts. For an example, in the proof of Theorem 1, the c-diagonally quasi-convex concepts of a set-valued mapping was used but monotone condition was not used. Our problem is a new kind of equilibrium problems, which can be compared with those of Hou et al. [4].

• 호남수학학술지
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• 제44권4호
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• pp.628-635
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• 2022

For another study of soft context and soft concept closely related to formal context and formal concept, in this paper, we propose the notions of conditional concepts, decision concepts and soft decision context based on soft contexts. Subsequently, the notions of consistent soft decision context and consistent set are introduced, and some properties for consistent set of soft decision contexts are investigated.

• 한국수학사학회지
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• 제32권6호
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• pp.281-299
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• 2019

Mathematical problem solving has become a major concern in school mathematics, and methods to enhance children's mathematical problem solving abilities have been the main topics in many mathematics education researches. In addition to previous researches about problem solving, the development of a mathematical problem solving method that enables children to establish mathematical concepts through problem solving, to discover formalized principles associated with concepts, and to apply them to real world situations needs. For this purpose, I examined the necessity of problem solving education and reviewed mathematical problem solving researches and problem solving models for giving the theoretical backgrounds. This study suggested the problem solving approach based on the intuitive and the formal inquiry which are the basis of mathematical discovery and inquiry process. And it is developed to keep the balance and complement of the conceptual understanding and the procedural understanding respectively. In addition, it consisted of problem posing to apply the mathematical principles in the application stage.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제25권2호
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• pp.99-115
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• 2022

This study examined difficulties middle school students have in learning mathematics and proposed a flipped classroom consisting of Khan Academy activities, small-group problem solving, and mathematical modeling to help improve their learning. A mixed-method approach was used to identify difficulties students have in learning mathematics, explore how the flipped classroom helped them reduce the learning difficulties identified, and examine if there were differences in students' mathematics achievement and their affective characteristics after participating in the flipped classroom. Qualitative analyses showed that students had difficulties in understanding mathematical concepts and finding effective ways to learn as well as negative views towards learning mathematics. This study also found that each activity of the flipped classroom had a different impact on student learning. Before class, the Khan Academy activities were most likely to help students understand mathematical concepts. In class, small-group problem solving activities were most helpful for students who had trouble finding effective learning methods and environments. Mathematical modeling activities were most likely effective in changing students' negative views towards mathematics. A quantitative analysis showed that the flipped classroom not only significantly improved the students' mathematics achievement, but also positively affected their confidence and motivation and how much they valued learning mathematics.

• 한국초등수학교육학회지
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• 제20권1호
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• pp.105-129
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• 2016

2009 개정 교육과정에서 수학적 과정은 수학적 추론, 수학적 문제 해결, 수학적 의사소통의 형태로 강조되고 있으며, 수학적 추론의 한 형태인 비례 추론은 비와 비율 개념과 관련된 추론이다. 비례 추론은 초등학교 수학에서 규칙성 영역의 핵심이면서 중등수학에서 학습하는 함수 개념의 기본이 된다. 본 연구는 2007 개정과 2009 개정 교육과정 사이에 놓인 초등학교 6학년 학생들을 대상으로 비례와 관련된 형식적인 알고리즘을 배우기 전 단계에서 비례 추론의 특징과 유형을 분석해봄으로써 비례 추론을 사용하는 학생들의 문제해결전략과 오류를 살펴본다. 이를 위해 먼저 비례 추론 문항을 개발하고, 초등학교 6학년 학생들이 비와 비율을 학습하기 전후에 비례 추론 관련 문제를 어떻게 해결하고 또 어떠한 오류가 나타나는지를 분석한다. 그 결과 초등학교 6학년 학생들은 문제의 조건과 유형에 따라 다양한 비례 추론 전략을 활용한다. 대부분의 학생들은 곱셈적 추론 수준에 있으며, 비례 추론 검사에서 가장 많이 나타난 전략으로는 분수 전략과 간비교, 내비교 전략 등이었다. 그러나 학생들은 상대적인 비교를 필요로 하는 문제의 경우 문제의 이해 단계에서부터 어려움을 나타냈다. 따라서 절대적 상대적 변화를 비교하는 수준에 이를 수 있도록 다양한 형태의 비례 추론 문항 개발이 요구되며, 이와 함께 비례 추론 상황을 포함하여 지도할 수 있는 교수 방안의 개발이 요구된다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제16권1호
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• pp.79-90
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• 2012

This research investigated if the embodied symbol using a turtle metaphor in a microworld environment works as a cognitive tool to mediate the learning of combinatorics. It was found that students were able to not only count the number of cases systematically by using the embodied symbols in a situated problem regarding Permutation and Combination, but also find the rules and infer a concept of Combination through the activities manipulating the symbols. Therefore, we concluded that the embodied symbol, as a bridge that connects learners' concrete experiences with abstract mathematical concepts, can be applied to introduction of various mathematical concepts as well as a combinatorics concept.

• East Asian mathematical journal
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• 제32권4호
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• pp.443-464
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• 2016

The purpose of ths study is to compare and analyze the sequence of teaching multiplication facts in the elementary school mathematics. Generally, the multiplication in the elementary school mathematics is composed of the followings; concepts of multiplication, situations involving multiplication, didactical models for multiplication, and multiplication strategies for teaching multiplication facts. This study is focusing to multiplication facts, especially to the sequence of teaching and multiplication strategies. The method of this study is a comparative and analytic method. In order to compare textbooks, we select the Korean elementary mathematics textbooks(1st curriculum~2009 revised curriculum) and the 9 foreign elementary mathematics textbooks(Japan, China, Germany, Finland, Hongkong etc.). As results of comparative investigation, the sequence of teaching multiplication facts is reconsidered on a basis of elementary students' mathematical thinking. And the connectivity of multiplication facts is strengthened in comparison with the foreign elementary mathematics textbooks. Finally multiplication strategies for teaching multiplication facts are discussed for more understanding and reasoning the principles of multiplication facts in the elementary school mathematics.

• 한국보육지원학회지
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• 제15권3호
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• pp.115-133
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• 2019

Objective: The purpose of the study was to develop a mathematics education program utilizing food to improve the mathematical abilities of 4-year-olds and to analyze the effects of this program on 4-years-olds' mathematical concepts (number and operation, algebra, geometry, measurement, data analysis, and probability). Methods: The study selected 30 4-year-olds from two daycare centers located in K city. The experimental group (N=15) participated in the mathematics education program utilizing food, 10 times for five weeks, while the comparative group (N=15) participated in the seasonal mathematics education program based on the Nuri Curriculum. The activities of this intervention program were designed to cover all domains of Mathematical Exploratory areas in the Nuri Curriculum. For data processing and analysis, pre-test and post-test score differences between the two groups were analyzed through MANCOVA. Results: The experimental group had significantly higher scores on five mathematical concepts compared with the control group. A mathematics education program utilizing food had the positive effect of improving 4-year-olds' mathematical ability. Conclusion/Implications: Mathematic education programs utilizing food are recommended as necessary pedagogical data to develop the mathematical abilities of children in education centers, families, or relating to parenting education.