• East Asian mathematical journal
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• 제38권2호
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• pp.143-164
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• 2022

Computer technology in mathematics teaching-learning is not for teaching computer but for improving mathematics teaching-learning with computer. It is shown the use of computer technology comparing with traditional approach provides students more opportunities in order to approach abstract structure. Computer activity provides not only understanding concepts of analysis and opportunity to investigate theory but also effective background in teaching analysis. We analyze students' computer usage level on analysis education by using computer usage level according to role of computer technology. We try to get an useful educational implication on analysis education applying MATLAB through qualitative research.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제35권4호
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• pp.377-411
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• 2021

본 연구는 교수학습 맥락에서 수학교사의 중심신념과 주변신념의 탐색을 목적으로 한다. 이러한 목적을 위해 본 연구는 고등학교 현직교사 8명을 대상으로 가상의 수학 수업 동영상을 활용하여 수학적 신념 측면에서 교사 노티싱(noticing)을 분석하였다. 분석결과, 노티싱하는 교사는 동영상 속 수업교사의 교수학습 문제 상황에 대하여 자신의 수학적 신념을 반영하여 비판하고, 교수학습 대안을 제시하였다. 그리고, 본 연구의 노티싱 분석은 '교수학습의 학생참여'와 같은 특정 노티싱 주제에 반영된 교사들의 수학적 신념을 비교하여 교사 개인의 상대적 중심신념과 주변신념을 드러내었다. 이러한 연구 결과를 통하여 본 연구는 노티싱을 활용하여 교수학습 맥락의 제약조건에서 수학교사의 중심신념과 주변신념을 추출하는 모형을 제안하였으며 부가적으로 수학교사의 교수학습-의사결정-전문성을 관찰할 수 있었다.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제34권4호
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• pp.563-585
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• 2020

본 연구는 교육용 프로그래밍으로 활용할 수 있는 파이썬을 활용한 수학과 코딩의 융합 수업 교수·학습 자료를 개발하기 위해 중학교 1학년 소인수분해 단원을 중심으로 수업지도안과 학생 활동지를 개발하는데 목표를 두고 있다. 본 연구에서는 파이선 프로그램을 사용해 본 경험이 없는 중학교 학생들에게 적용하여 수학과 코딩의 융합 수업 방법 및 내용의 적절성을 확인하고자 하였다. 이러한 과정에서 중학교 1학년 2명의 학생들에게 적용한 결과의 분석을 통해 교수·학습 자료를 수정·보완 하여 최종 자료를 개발하였다. 본 연구에서 개발한 교수·학습 자료는 코딩을 활용하여 소인수분해를 학습하는 융합수업이 이루어질 수 있도록 수업 방법 및 수업 내용을 구성하였으며 이를 통해 수학과 코딩에 대한 융합 수업이 현장에서 시도될 수 있는 가능성을 보여주었다.

• 대한수학교육학회지:학교수학
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• 제6권4호
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• pp.373-388
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• 2004

본 연구는 수학학습부진아를 원인에 관계없이 일률적으로 지도하는 기존의 교수법에 문제의식을 가지고, 특히 낮은 기억력으로 인해 수학학습부진을 보이는 아동을 지도하기 위한 방안을 마련하고자 하였다. 이를 위해 최근 여러 교과에서 시도되고 있는 마인드맵을 수학부진아 지도에 활용하는 방안을 강구하였다. 본 연구 대상자는 수학부진아 가운데, 기억력 테스트에서 낮은 점수를 기록한 아동 4명이며, 학습소재는 정의나 성질, 공식 등이 많아 비교적 기억부담이 크다고 판단되는 도형 및 측정 영역을 선정하였다. 연구 결과, 마인드맵 활동이 기억력이 낮은 수학부진 아들에게 수학적 개념을 형성하고 기억하는 것뿐만 아니라 수학 문제해결력 및 수학에 대한 태도에도 긍정적인 영향을 주는 것으로 나타났다.

• 한국수학교육학회지시리즈A:수학교육
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• 제47권2호
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• pp.135-154
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• 2008

The purpose of this study is to help to improve the method of math teaching by analysing how learner-centered teaching method offsets mathematical creativity and mathematical disposition. For this purpose, research questions are established as follows; (1) Mathematical creativity between open-ended learning activity approach(OLAA) and general classroom-based instruction(GCI) shows any difference? (2) Mathematical disposition between OLAA and GCI shows any difference? The results obtained through this study were as follows: (1) There was significant difference between OLAA group and CCI group in mathematical creativity. This means that open-ended learning activity approach was generally more effective in improving mathematical creativity than general classroom-based instruction. (2) There was no significant difference between OLAA group and GCI group in mathematical disposition. But the average scores of mathematical disposition except mathematical confidence improved a little. So we can say that open-ended learning activity approach brought an positive influence on students' mathematical disposition. The results obtained in this study suggest that the OLAA can be used to cultivate the children's mathematical creativity and disposition. Therefore, I suggest that teachers should use the OLAA to improve the children's mathematical creativity and disposition.

• 한국수학교육학회지시리즈A:수학교육
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• 제45권3호
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• pp.295-313
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• 2006

University teacher education programs have sought for ways of how to improve student teaching in order to supply mathematics teachers with practical theory to achieve the goals of the current educational reform in school mathematics. In this context, the purpose of this research is to investigate the effect of student teachers' teaching experience in the after-school mathematics programs and the ways of how to develop the after-school learning programs as an effective site for learning to teach based on the inquiry into student teachers' own teaching experience. For the purpose, data were collected through the interviews with the student teachers who had taught after-school mathematics class. In addition, data were collected through survey, class observation, and seminal meetings with the student teachers in order to supplement the findings from the interview analysis. Data analysis focused on the student teachers' experience with teaching in after-school mathematics classes, that is, what and how they had learned as teachers, what kinds of difficulties they encountered in their teaching and supports that they expect to improve their learning through teaching. The analysis shows that the teaching experience in the after-school programs had positively contributed to their development as future mathematics teachers. Specifically, the after-school programs provide the site for learning through teaching at the early stage of teacher education program. The after-school programs provided the students teachers for the opportunity to participate peripherally in educational practice of school. Through the participation, the student teachers developed positive attitudes toward teaching career and became to have more solid ideas about how to teach mathematics. Based on the analysis, this research provides following suggestions concerning how to improve student teaching. First, it is necessary to provide student teachers to participate into the practice of teaching at the early stage of teacher education programs. Second, it is important to give students teacher opportunity to participate in teaching at peripheral and legitimate positions. Finally, it is necessary to construct mentoring networks to support student teachers to move from a peripheral position toward a center of teaching practice.

• 한국초등수학교육학회지
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• 제8권1호
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• pp.89-108
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• 2004

제7차 수학과 교육과정에서 강조하는 ‘수학적 힘’을 기르는 초등 수학 교육이 되기 위해서는 학생들에게 사고를 유발시키는 기회의 제공과 함께 사고 과정을 구조화시켜 줄 수 있는 교수-학습 방법이 필요하다. 수학 학습에서 쓰기의 활용은 학생 자신의 생각을 끌어내고 정리하는 사고 과정을 거치게 되므로, 효과적인 의사소통과 수학적 사고 과정의 촉진을 위한 유용한 방법이 된다고 생각한다. 이 연구에서는 6학년 수학 교과서 분석을 통해 수학 쓰기 유형 및 이를 적용한 수업 모형을 구안하고, 수학 쓰기가 학생들의 수학 학습에 미치는 영향을 분석하였다. 실험 대상을 실험반과 비교반으로 나누어 실험, 조사한 결과, 수학 쓰기 활동을 한 실험반 학생들의 수학 학습 능력과 학업 성취가 더 우수하게 나타났다. 이 연구는 위의 결과를 바탕으로 다양한 수학 쓰기 유형을 활용한 수학과 교수-학습에 대한 논의 및 제언을 담고 있다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제18권3호
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• pp.223-234
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• 2014

Research shows that formative assessment has a more powerful effect on student learning than summative assessment. This case study of an 8th grade algebra classroom focuses on how the implementation of Formative Assessment Lessons (FALs) and the participation in teacher learning communities related to FALs changed in the teacher's instructional practices, over the course of a year, to promote students' mathematical reasoning and justification. Two classroom observations are analyzed to identify how the teacher elicited and built on students' mathematical reasoning, and how the teacher prompted students to respond to and develop one another's mathematical ideas. Findings show that the teacher solicited students' reasoning more often as the academic year progressed, and students also began developing mathematical reasoning in meaningful ways, such as articulating their mathematical thinking, responding to other students' reasoning, and building on those ideas leading by the teacher. However, findings also show that teacher change in teaching practices is complicated and intertwined with various dimensions of teacher development. This study contributes to the understanding of changes in teaching practices, which has significant implications for teacher professional development and frameworks for investigating teacher learning.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제6권1호
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• pp.1-28
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• 2002

This study explored teachers (n = 219) from northern, central, southern and eastern Taiwan concerning their views about children's learning difficulties, mathematical instruction and school mathematics curricular. Results showed that teachers' mathematics knowledge or their instruction methods had no significant influence on their views of children's learning difficulties. Even though teachers indicated that understanding of abstract mathematical concepts was the most prominent difficulty for children, they tended to employ direct instruction rather than constructive and cooperative problem solving in their teaching. However, teachers' views of children's learning difficulties did influence their instructional practice. Results from in-dept interviews revealed that there were some obstacles that prevented teachers from putting constructiveism perspectives of instruction into teaching practice. Further investigation is needed to develop a better understanding of epistemology and teaming psychology as well as to help teachers create constructive learning situations.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권3호
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• pp.369-386
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• 2003

Problem-centered learning has many implications on teaching and learning mathematics. Students devise their solutions to solve problems and participate in the discussion with teacher and other students to share and justify their solution during the problem-centered learning. Therefore, we purposed to provide problem-centered loaming materials to be able to use in teaching and loaming the 7th mathematics curriculum in this study. First, we reviewed the 7th curriculum and its textbooks to know what and how students learn and suggested the problem-centered learning as a teaching method to perform the 7th curriculum. Next, we developed the problem-centered loaming materials for 6th grade in elementary school and taught students with these materials to amend errors. Finally, we developed evaluation criteria to evaluate students while they teamed mathematics in the problem-centered learning.