• 한국초등수학교육학회지
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• 제12권2호
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• pp.165-183
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• 2008

본 연구에서는 초등수학에서 상호글쓰기를 통한 활동이 수학적 의사소통 능력 및 수학적 성향에 미치는 영향을 조사하고 분석하여, 이러한 상호글쓰기 활동이 수학적 의사소통 능력에 어떠한 영향을 미치는지 살펴보았다. 이를 위하여 상호글쓰기 학습을 적용하기 위한 기반을 조성하고, 3-나 수학과 교육과정을 분석하여 개념 형성 수업, 원리 발견 수업, 문제 해결 수업으로 분류하여 차시를 추출하고, 그에 맞는 상호글쓰기 학습지를 개발하여 적용하였다. 연구 결과, 첫째, 상호글쓰기 활동은 수학적 의사소통 능력의 영역 중 말하기(토의하기), 쓰기, 표상하기 영역에 있어서 효과적이었으며, 둘째, 학생들의 수학적 성향에 긍정적인 영향을 미치며, 특히 수학적 흥미, 수학을 공부하고자 하는 의지, 수학의 중요성을 깨닫고 필요하다고 느끼는 가치 부분에서 긍정적으로 효과가 있음을 알 수 있었다.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제32권3호
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• pp.385-406
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• 2018

본 연구에서는 수학적 문제제기 활동을 반영한 수학 수업이 고등학교 1학년 학생들의 수학 학업 성취도 및 수학 교과에 대한 정의적 특성에 미치는 영향에 대해서 알아보았다. 본 연구는 이질통제집단 설계(nonequivalent control group design)를 통해 고등학교 1학년 2개 학급의 81명의 학생들을 대상으로 총 45차시의 정규 수학 수업 시간에 이루어졌다. 연구 결과에 의하면, 수학적 문제제기 활동을 반영한 수업 방식이 전통적인 문제해결에 중점을 둔 수업 방식보다 학생들의 수학 학업 성취 및 수학 교과에 대한 정의적 특성에 보다 긍정적인 영향을 미치는 것으로 나타났다. 본 연구에서 제안한 문제제기 활동을 반영한 수업은 학생들의 자기성찰적 학습 동기를 유발시킬 수 있었고, 이를 통해 학생들은 학습한 수학적 개념에 대한 이해를 보다 확고히 할 수 있는 것으로 나타났다. 이와 더불어 문제제기 활동은 학생들의 문제해결력, 수학적 의사소통 능력, 수학적 사고력 발달에도 긍정적인 영향을 미친 것으로 나타났다. 정의적 특성과 관련해서는 본 연구에서 제안한 수학적 문제제기 활동은 학생들의 수학 교과에 대한 흥미 향상에 매우 효과적인 전략으로 나타났다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제27권1호
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• pp.25-47
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• 2024

Mathematical modeling activities are gaining popularity in K-12 mathematics education curricula worldwide. These activities serve dual purposes by aiding students in making sense of real-world situations intertwined with social justice while acquiring mathematical knowledge. Despite efforts to prepare teacher candidates for instructing in mathematical modeling within a single country, little attention has been given to teacher candidates' approaches to mathematical modeling on a social justice issue from different countries. This article employs an in-depth, small-scale comparative study to examine the approaches of U.S. and Korean teacher candidates in solving a justice-oriented mathematics task. Our findings reveal that, although both U.S. and Korean teacher candidates identified certain variables as key when constructing a mathematical model, Korean teacher candidates formulated a more nuanced model than U.S. candidates by considering diverse variables. However, U.S. teacher candidates exhibited a heightened engagement in linking the task to social justice issues, whereas Korean teacher candidates barely perceived real-world problems in relation to social justice concerns. This study serves as a valuable tool to inform the roles and limitations of teacher education programs, shaped within specific educational contexts.

• 인간식물환경학회지
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• 제23권3호
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• pp.321-332
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• 2020

Background and objective: The concept of 'money' in the numbers and operations domain is a fundamentally necessary domain of economic life. This study was conducted to examine the effects of a horticulture-mathematics integration program on mathematical attitude and money calculating ability of high school students with intellectual disabilities. Methods: We analyzed the changes in the mathematical attitude and money calculating ability of students with mild intellectual disabilities in S special school in the city of D, Republic of Korea, with 12 students in the control group and 12 students in the experimental group, from August 27 to October 29, 2019. Results: The results of the comparison showed no statistically significant changes in the three items of mathematical attitude for the control group, while the experimental group, which took part in the horticulture-mathematics integration program, showed statistically significant differences across all three items, such as self-concept about the subject (p = .003), attitude toward the subject (p = .004), and study habit related to the subject (p = .012). The horticulture-mathematics integration program, which was developed by integrating horticultural activities and the mathematics curriculum, used plants and horticultural activities to provide students with positive experiences in mathematics. These included the sense of closeness, curiosity, interest, attention, and enjoyment, leading to positive changes in mathematical attitude. In terms of money calculating ability, both the control group and experimental group showed statistical differences across the three items, but the experimental group showed greater degrees of increase, 15.0 or more, in the scores compared to the control group. Conclusion: These results suggest that utilizing horticultural materials as a part of purchase learning programs with elements of money calculation chapters in the mathematics curriculum could lead to the improvement of students' ability in money calculation. These positive changes are thought to be related to the high degrees of interest in horticulture among students, which led to active participation in the program and enabled the simple and repeated purchase activities in the program to generate positive changes in the money calculation ability of the students.

• 한국학교수학회논문집
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• 제22권2호
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• pp.133-161
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• 2019

본 연구에서는 일반 중학교 3학년 학생들의 일상적인 수업에서 집단 창의성 발현을 통해 수학적 모델링 활동을 지원한 사례를 분석하였다. 이를 위해 첫째, 선행연구 분석을 통해 사회문화적 관점에 따른 집단 창의성의 의미와 수학적 모델링의 사회문화적 특성을 확인하였다. 둘째, 4명씩 5모둠으로 구성된 한 학급에서 실험을 수행한 뒤, 집단 창의성 발현이 잘 이루어진 한 모둠의 사례에 초점을 둔 사례 연구를 수행하였다. 그 결과, 첫째, 수학적 모델링의 각 단계별로 다양한 유형의 상호작용이 나타났으며, 수학적 모델링의 단계와 발생한 상호작용의 유형에 따라 다양한 창의적 시너지가 관찰되었다. 즉, 수학적 모델링 활동에서 집단 창의성 발현이 관찰되었다. 둘째, 발현된 집단 창의성은 수학적 모델링의 각 단계의 수행을 지원하였다. 이때, 수학적 모델링의 단계와 발생한 상호작용에 따라 각기 다른 방향으로 수학적 모델링 활동을 지원하였다.

• 한국수학교육학회지시리즈A:수학교육
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• 제43권3호
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• pp.217-231
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• 2004

The purpose of this paper is to investigate a new method for activating the metacognitive abilities that play a key role in the Mathematical Problem Solving Process (MPSP). The proposed research question is as follows: Can the MPSP activate metacognitive abilities of high school students in the pencil-and-paper environment using guidance material for metacognitive activities\ulcorner To solve this question, two case studies have been carried out. Two students for the study were selected via informal interview. They voluntarily took part in 13 experimental lectures. The activating paths of their metacognitive abilities in the MPSP were chronically described and analyzed. All the activating processes of the students focusing on the aspects of metacognitive behaviors were analyzed by means of interview, observation, self-report, and activity data. The two high school students participating in the MPSP voluntarily recognized and reflected their deficiencies in metacognitive abilities, and therefore maximized their own performance. They made quite significant progress in the course of activating their metacognitive abilities through voluntary participation and gained greater confidence in the MPSP. Hence they have become good problem solvers. They expressed not only the factors influencing their behavior but also their self-awareness during the metacognitive activities. In the long run, this experiment will increase possibilities for the internalization of the metacognitive process.

• 한국보육지원학회지
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• 제17권1호
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• pp.41-63
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• 2021

Objective: The purpose of this research was to examine the effects of an 'Ice' project, a topic chosen based on children's interests to discover the improvement of scientific and mathematical abilities, and creativity of four-year-old children. Methods: For this research, 34 four-year-old children from M childcare center were selected. Seventeen children were placed in the experimental group and the remaining 17 children were placed in the comparison group. After the project was completed, to observe the differences between the two groups, the Mann-Whitney U test was conducted. Results: First, the 'Ice' project had an effect on improving children's scientific abilities and its subfactors. Second, the 'Ice' project hadsignificant effects on improving children's algebraic and geometric mathematical skills. Third, excluding the resistance to premature closure among the subfactors of creativity, the 'Ice' project contributed to improve children's creativity and all sub-factors. Conclusion/Implications: The 'Ice' project activities, a subject chosen from the interests of children, led active play participation from children and brought positive effects in immersion of play and activity. Such effects proved to affect children's scientific abilities, mathematical abilities, and creativity, and suggest this research can be used as base line data in follow-up research on various project activities.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제6권1호
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• pp.53-63
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• 2002

This study investigates the impact of Calculator-Based Ranger (CBR) activities in the performance of middle school students' graphing abilities of physical phenomena. Two issues about CBR activities on graphing abilities were addressed in this study; (1) the effect of CBR activities on graphing abilities, and (2) the influence of instructional styles on students' graphing abilities. Following the use of CBR activities, students' graphing abilities were significantly more developed in three components-interpreting, modeling, and transforming. Significant differences were found in students' achievement depending on instructional styles related to differentiation, which is closely connected to transforming distance-time graphs to velocity-time graphs. The findings of this study indicate that CBR activities may enhance students in constructing appropriate webs of related concepts and ability to qualitatively interpret graphs. Using collaborative CBR activities to introduce and explore graphing of physical phenomena is, therefore, recommended for inclusion in the secondary mathematics curriculum.

• 한국수학교육학회지시리즈A:수학교육
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• 제44권1호
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• pp.143-152
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• 2005

The purpose of this study is to investigate responses or phenomena shown by the students in the process of manipulative activities in order to use manipulatives effectively in the elementary school geometry classes. The fualitative study used for this research analyzed phenomena in the process of learning programs offered to students. The five participants of this research were selected from the third graders at C Elementary School in Seoul city. The researcher recorded all the activities of students, watching them thoroughly and extracting significant statements from each description. These statements were formulated by their meanings, and then those meanings were analyzed into classified themes. The results through this research are as follows: First, previous activities affected later activities positively in the conjoining case, but negatively in the disjoining case and hence it required adventurous thinking. Second, students tried various attempts for solving given problems.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제12권3호
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• pp.167-177
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• 2008

The students' beliefs about mathematics teaching-learning come from the social activities in mathematics classrooms; and the mathematics classroom culture to a large extent decides the social activities in mathematics classrooms. So, the students' beliefs about mathematics teaching-learning are decided indirectly by the mathematics classroom culture mainly. The students' beliefs about mathematics teaching-learning react to the social activities in mathematics classrooms, and the social activities in mathematics classrooms react to the mathematics classroom culture. Therefore, the students' beliefs about mathematics teaching-learning react indirectly to the mathematics classroom culture. So, the relationships between the students' beliefs about mathematics teaching-learning and the mathematics classroom culture are dialectic, and the social activities in mathematics classrooms are the medium. In addition, the relationships have some inspirations to the current mathematics curriculum reform in the mainland China.