• 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.

• East Asian mathematical journal
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• 제24권5호
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• pp.509-519
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• 2008

In the article, we study on researching activity of the patterns through paper folding. A set of rules and patterns are found in this study based on folding paper of triangle and rectangle.

• 한국학교수학회논문집
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• 제15권3호
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• pp.411-428
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• 2012

미래 사회에 대비하고 적응하기 위하여 창의성에 대한 요구가 한층 높아지고 있다. 이에 학교 수학에서 학생들의 창의성을 길러줄 수 있는 다양한 노력이 계속되고 있다. 특히 문제 만들기는 수학적 창의성을 길러줄 수 있는 좋은 방법이다. 따라서 본 연구에서는 수학문제 만들기 활동의 결과물을 이용하여 학생들의 수학적 창의성을 분석하였다. 이를 위해 초등학교 3학년 상 수준 5명, 중 수준 7명, 하 수준 4명을 포함한 16명 학생을 연구 대상으로 문제 만들기 활동을 하고, 학생들이 만든 문제를 이용하여 학생들의 수학적 창의성을 분석하였다. 이를 통해 다음과 같은 결과를 얻었다, 첫째, 창의성 점수의 평균에서는 상, 중, 하의 성취 수준에 비례하여 나타났다. 둘째, 학생들이 만든 문제의 수에서는 상, 중, 하 수준의 학생들 간에 큰 차이가 나타나지 않았다. 셋째, 학생들은 세 수준 모두에서 조건을 변경하여 문제를 만드는 비율이 높았고, 이런 현상은 상, 중, 하 순으로 갈수록 더 높게 나타났다.

• 한국학교수학회논문집
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• 제2권1호
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• pp.55-66
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• 1999

In mathematics education, teaching-learning activity can be divided largely into the understanding the mathematical concepts, derivation of principles and laws acquirement of the mathematical abilities. We utilize various media, teaching tools, audio-visual materials, manufacturing materials for understanding mathematical concepts. But sometimes we cannot define or explain correctly the concepts as well as the derivation of principles and laws by these materials. In order to solve the problem we can use the computer. In this paper, ′the process of the length of curve being equal to the sum of the vectors when intervals get smaller′ and ′the process of calculating volume of spinning curve by using definite integral.′ Using the computers is more visible than other educational instruments like blackboards, O.H.Ps., etc. Also it can help students with solving mathematical problems intuitively. Consequently more effective teaching-learning activity can be done. Usage of computers is the best method for improving the mathematical abilities because computers have functions of the immediate reaction, operation, reference and deduction. One of the important characters of mathematics is accuracy, so we use computers for improving mathematical abilities. This paper is about the program focused on the part of "the application of definite integral", which exists in mathematical curriculum the second and third grade of high school. When this study is used for students as assisting materials, it is expected the following educational effect. 1. Students will have precise concepts because they can understand what they learn intuitively. 2. Students will have positive thought by arousing interests of learning because this program is composed of pictures, animations with effectiveness of sound. 3. It is possible to change the teacher-centered instruction into the student-centered instruction. 4. Students will understand the relation between velocity and distance correctly because they can see the process of getting the length of curve by vector through the monitor. For the purpose of increasing the efficiencies and qualities of mathematics education, we have to seek the various learning-teaching methods. But considering that no computer can replace the teacher′s role, teachers have to use the CIA program carefully.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제35권4호
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• pp.425-444
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• 2021

본 연구는 수학적 과정을 고려한 측정 활동의 구성을 통해 측정 영역에서 추구하는 목표에 도달할 수 있다는 가정 아래 초등학교 4학년 학급에 측정 오차를 활용한 삼각형의 내각의 합 지도 방안을 적용하고 결과를 분석하였다. 연구 결과 첫째, 학생들은 측정 오차를 활용하여 삼각형의 내각의 합을 학습함으로써 측정 오차의 발생 가능성을 인식할 수 있었다. 둘째, 측정 오차에 기반한 토론 과정은 학생들이 수학적 정당화를 시도할 수 있는 바탕이 되었다. 셋째, 반원을 활용한 조작 활동은 학생들에게 자연스럽고 직관적인 수학적 정당화의 방법으로 인식되었고 일반화를 이끌었다. 넷째, 측정 오차를 활용한 삼각형의 내각의 합 지도 방안은 학생들의 수학적 의사소통 능력과 수학에 대한 긍정적인 태도의 함양에 기여하였다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제16권1호
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• pp.1-13
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• 2012

This paper explores gifted students' reasoning abilities. Three tests were developed in order to assess and analyze their reasoning abilities building on previous research on covariational reasoning. Giving consideration to the arising problems in the tests, we constructed a LOGO-based JavaMAL microworld environment which engages students in an active learning environment. This environment was designed by applying 'instrumental approach' in microworld. Based upon the post test results, the role of activity in microworld environment as 'instrument mediated activity' is also discussed.

• East Asian mathematical journal
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• 제28권2호
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• pp.173-195
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• 2012

The purpose of this study is to help for an in-depth understanding of their thinking process by observing and analyzing the response found by two elementary school students, Through this study, the following findings could be obtained. First, two students have a tendency trying to solve the complex situation at first. Second, we could know that it is an important factor in discovering the pattern to predict it. Third, we could know that the activity of reconstructing the data meaningfully is an important factor in discovering the pattern. Fourth, it is an important factor in finding the pattern to work organically the activity of predicting it with the activity of reconstructing the data meaningfully. We hope that this study offers the help for an in-depth understanding of students's thinking process.

• 한국수학교육학회지시리즈A:수학교육
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• 제39권1호
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• pp.21-36
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• 2000

The purpose of the study was to investigate the effects of the geoboard activities in understanding the Pythagorean Theorem. Five groups of middle school students were involved in the study. The research questions of the study were followings: 1)What are the differences in understanding and attitudes among students those who revealed the various levels of achievement when geoboards were introduced in learning the Pythagorean Theorem. 2)What was the effect of the geoboard activity in introducing the Pythagorean Theorem and solving relevant problems? 3)What would be the impression of geoboard activity for those who already knew the Pythagorean Theorem? 4)What would be the effects of interaction in geoboard activities? 5)What was the effect of the geoboard activity in recovering the Pythagorean Theorem, and applying the theorem. The result of the study revealed the positive effects of geoboard activities throughout the research questions although there were differences among various levels of students and groups.

• Human Ecology Research
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• 제58권1호
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• pp.105-120
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• 2020

This study helps infant teachers practice a constructivism-based teacher education program that supports infant mathematical inquiry activities and examines improvements in mathematical teaching knowledge, mathematical teaching initiatives, mathematical interaction, constructivism belief and mathematical teaching efficacy. Twenty two experiment group infant teachers and twenty two comparison group infant teachers were chosen at two workforce educare centers. The experiment group infant teachers participated in 18 sessions of a constructivism teacher training program for 8 weeks, but the comparison group infant teachers did not take part in the program. Pretest and post-tests were implemented for the mathematical teaching knowledge, mathematical teaching initiatives, mathematical interactions, constructivism belief and mathematical teaching efficacy in the experiment group. Independent sample t-test and ANCOVA were tested using Windows SPSS statistics 21.0. The homogeneity test for the experiment and comparison group revealed significant differences. ANCOVA was carried out after the pretest score was controlled as a co-variance. Significant differences were indicated in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. The results indicated that a constructivism-based teacher education program to support infant mathematical inquiry activities influenced improvements in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. This study proved the effects of the program based on constructivism theory content for the knowledge, skills and attitude about infant teaching of mathematical initiatives and practiced a program of exploration, investigation, application and assessment for infant teachers. The results can help infant teachers teach mathematical exploration activities and help activate infant mathematical exploration activities.

• East Asian mathematical journal
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• 제26권2호
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• pp.281-299
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• 2010

In this study we develop mathematical tools for measuring the Geumgang Ratio and we call them Geumgang Ratio Calipers. Also we show a teaching method for ratio through experimental mathematics. With Geumgang Ratio Calipers students measure the Geumgang Ratio in their bodies, materials for everyday life and the Sukgulam. Through this activity, students obtained an interest in mathematics and gained a positive attitude for mathematics.