• 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.

• International Journal of Advanced Culture Technology
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• 제10권1호
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• pp.265-273
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• 2022

The aim of this study is to investigate the relationship between the object ability, basic movement ability, and mathematical ability of young children. Next, through this study, the influence of young children's object manipulation ability and basic movement ability on mathematical ability was investigated. The subjects of this study were 80 children aged 5 years old. As a research tool, the non-mobile movement and mobile movement, the basic movement development test scale, and the young children's picture-mathematical ability test scale were used. This survey was conducted from October 2018 to January 2019. For data analysis, correlation analysis and hierarchical multiple regression analysis were performed using the spss program. As a result of the study, it was found that there was a significant positive correlation between the non-mobile ability, movement ability, object manipulation ability and mathematical ability of young children. It was found that young children's ability to manipulate objects and non-movement abilities had positive effect on their mathematical abilities. The movement ability of young children had both negative and positive effects on mathematical ability, but it was not found to be statistically significant. This study is meaningful in that it investigated the effects of non-mobile movement, mobile movement ability, and object manipulation ability, which are sub-capabilities of basic movement ability, which had not been investigated so far, on the mathematical ability of young children.

• 아동학회지
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• 제28권3호
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• pp.175-185
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• 2007

This study examined types of errors made by young children on the Mathematical Ability Picture Test for Young Children(Hwang & Choi, 2007). The subjects were 30 5-year-old children. The process of taking the Mathematical Ability Picture Test was videotaped and the videotape was transcribed for analysis of errors. Findings were that in most of the sub-areas, strategy selection errors were dominant, followed by comprehension errors. Second, there was a tendency for boys and girls to make similar types of errors in every sub-area of the Mathematical Ability Picture Test for Young Children.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제25권4호
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• pp.629-639
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• 2011

최근 공과대학 학생들에게 대학수학의 중요성이 부각되고 있는 반면, 제7차 수학과교육과정의 인문계 수학에는 미분적분이 포함되어 있지 않고, 많은 중위권 대학의 입학전형에서 교차지원을 허용하기 때문에 공과대학 대학수학의 교수학습에서 많은 어려움이 발생한다. 본 연구에서는 중위권 공과대학 신입생들의 수학 기초학력과 대학수학능력시험수리영역 성적의 관계를 조사하여 교차지원을 허용하는 입학전형 제도의 문제점을 실증적으로 밝히는데 그 의의를 두었으며, 이를 위하여 2010학년도 A대학교 공과대학 신입생들을 대상으로 대학수학능력시험 수리영역 성적과 수학 기초학력평가 및 대학수학 교과목의 성적을 비교 분석하였다.

• 한국보육지원학회지
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• 제13권6호
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• pp.69-86
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• 2017

Objective: This study was conducted to investigate the effects of small-group arithmetic word problem activities with concrete materials on 5 year old children's mathematical ability and attitude. Methods: A total of 34 five-year-old children (control group 16 children, experimental group18 children) attending two kindergartens in P city participated in this study. Fifteen small-group arithmetic word problem activities with concrete materials were conducted in the classroom of the experimental group twice a week for eight weeks. Before and after the activities, all the participants individually took a basic arithmetic test, mathematical word problem solving test, and mathematical attitudes test. Results: First, we observed that the children in the experimental group achieved significantly higher scores on the mathematical ability tests, including the basic arithmetic test and mathematical word problems solving test when compared to the children in the control group. Second, we also found that children in the experimental group showed higher improvement in the mathematical attitudes test than their counterparts. Conclusion/Implications: The results of this study suggest that small-group arithmetic word problem activities with concrete materials are effective in improving children's mathematical ability and attitudes.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제9권4호
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• pp.329-333
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• 2005

Based on author's practice of instructing Chinese gifted students to join the Chinese Mathematics Olympic (CMO), the paper adopted test analysis model of the Scholastic Aptitude Test of Mathematics (SAT-M), tested mathematics ability of 212 mathematical gifted students to join the CMO, applied correlation analysis and factor analysis and proposed the mathematics ability structure in Chinese gifted students including comprehensive operation ability, logic thinking ability, abstract generalization ability, spatial imagination ability, memory ability, transfer ability and intuition thinking ability. And it analyzed the expression form of these abilities respectively and gave some suggestion on mathematics teaching about gifted Chinese students.

• 한국수학교육학회지시리즈A:수학교육
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• 제44권3호
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• pp.361-374
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• 2005

I analyzed the effect of problem posing teaching and teacher-centered teaching on mathematical problem-solving ability and creativity in order to know the efffct of problem posing teaching on mathematics study. After we gave problem posing lessons to the 3rd grade middle school students far 28 weeks, the evaluation result of problem solving ability test and creativity test is as fellows. First, problem posing teaching proved to be more effective in developing problem-solving ability than existing teacher-centered teaching. Second, problem posing teaching proved to be more effective than teacher-centered teaching in developing mathematical creativity, especially fluency and flexibility among the subordinate factors of mathematical creativity. Thus, 1 suggest the introduction of problem posing teaching activity for the development of problem-solving ability and mathematical creativity.

• 한국영재학회:학술대회논문집
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• 한국영재학회 2001년도 춘계 학술세미나
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• pp.43-72
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• 2001

Identification and discrimination the mathematical giftedness must be based on it's definition and factors. So, there must be considered not only IQ or high ability in mathematical problem solving, but also mathematical creativity and mathematical task commitment. Furthermore, we must relate our ideas with the programs to develop each student's hidden potential not to settle only. This study is focused on the discrimination of the recipients who would like to enter the elementary school level mathematical gifted education program. To fulfill this purpose, I considered the criteria, principles, methods, tools and their application. In this study, I considered three kinds of testing tools. The first was KEDI - WISC personal IQ test, the second is mathematical problem solving ability written test(1st type), and the third was mathematical creativity test(2nd type) which were giving out divergent products. The number of the participant of these tests were 95(5-6 grade). According to the test, students who had ever a prize in the level of national mathematical contest got more statistically significant higher scores on 1st and 2nd type than who had ever not, but they were not prominent on the phases of attitude, creative ability or interest and willing to study from the information of the behavior characteristics test. Using creativity test together with the behavior characteristics test will be more effective and lessen the possibility of exclusion the superior.

• 한국수학교육학회지시리즈A:수학교육
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• 제26권2호
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• pp.9-13
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• 1988

Mathematics education is generally to cultivate mathematical thought. Most meaningful thought is to solve a certain given situation, that is, a problem. The aim of mathematies education could be identified with the cultivation of mathematical problem-solving ability. To cultivate mathematical problem-solving ability, it is necessary to study the nature of mathematical ability and its aspects pertaining to problem-solving ability. The purpose of this study is to investigate the relation between problem-solving ability and classficational viewpoint of mathematical verbal problems, and bet ween the detailed abilities of problem-solving procedure and classificational viewpoint of mathematical verbal problems. With the intention of doing this work, two tests were given to the third-year students of middle school, one is problem-solving test and the other classificational viewpoint test. The results of these two tests are follow ing. 1. The detailed abilities of problem-solving procedure are correlated with each other: such as ability of understanding, execution and looking-back. 2. From the viewpoint of structure and context, students classified mathematical verbal problems. 3. The students who are proficient at problem-solving, understanding, execution, and looking-back have a tendency to classify mathematical verbal problems from a structural viewpoint, while the students who are not proficient at the above four abilities have a tendency to classify mathematical verbal problems from a contextual viewpoint. As the above results, following conclusions can be made. 1. The students have recognized at least two fundamental dimensions of structure and context when they classified mathematical verbal problems. 2. The abilities of understanding, execution, and looking- back effect problem-solving ability correlating with each other. 3. The instruction emphasizing the importance of the structure of mathematical problems could be one of the methods cultivating student's problem-solving ability.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제25권1호
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• pp.245-259
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• 2011

본 연구는 한국교육개발원에서 개발한 '수학 창의적 문제해결력 검사'를 사용하여 한국과 미국의 초등학교 6학년군 학생들의 수학 창의성과 수학적 사고력을 비교한 것이다. 연구 대상은 한국의 6학년 학생 212명과 미국의 5~7학년 학생 148명이며, 2009년 4월에 검사를 실시하였다. 본 연구의 도구에 대한 검증은 SPSS 12.0K로 신뢰도(Cronbach ${\alpha}$)와 변별도를 구하고 Rasch의 1모수 문항반응이론으로 적합도 지수와 난이도를 구하였으며, 연구 자료에 대한 통계적 분석은 t-검정, 일원변량분석과 Scheffe의 다중 비교를 사용하였다. 연구 결과로서, 한국 학생들이 미국 학생들보다 수학 창의성과 수학적 사고력에서 높은 점수를 얻었고 또 수학 창의성과 수학적 사고력에서 수학 개념의 이해가 중요한 요인임을 확인하였다. 또한 미국 학생들의 경우 초등학교 5학년과 6학년은 수학 창의성의 모든 하위 영역에서 차이가 있었으며 수학적 사고력에서는 6개의 하위영역 중 4개에서 차이가 있음을 발견하였다. 이것은 초등학교 5학년과 6학년을 하나의 학년군으로 하는 2009 개정 교육과정에 시사점을 줄 것이다.