• 제목/요약/키워드: Mathematics Teaching and Learning Program

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예비수학교사교육에서의 공학적 도구 활용 사례연구 - 7${\~}$9단계 수학수업과 연계된 교수$\cdot$학습보조자료 개발을 중심으로 - (The Case Study of Using Technology in Education of Pre-service Mathematics Teachers. - Developing Materials Assisting Teaching-Learning for 7th-9th Grade Mathematics Classroom -)

  • 김남희
    • 대한수학교육학회지:학교수학
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    • 제7권4호
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    • pp.337-352
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    • 2005
  • 본 연구에서는 학교수학수업에의 공학적 도구 활용을 논의의 주제로 설정하고 예비수학교사교육에서 사례연구를 실시하였다. 예비관찰을 통해 사례로 선정된 사범대학 재학생들을 대상으로 수학교육프로그램을 활용하여 7${\~}$9단계 수학 학습에 적용할 수 있는 교수-학습 자료를 개발하는 수업활동을 시행하였다. NCTM과 제7차 교육과정의 교수-학습방법 제안을 배경으로 하여 본 연구에서는 공학적 도구를 활용하여 수학학습의 효과를 높일 수 있다는 명제를 개념적 틀로 설정하였다. 그리고 이를 연구의 방향과 자료분석의 토대로 삼았다. 연구과정에서 수집된 관찰자료, 면담자료, 문서자료 등을 토대로 연구의 초기에 설정된 세 가지 연구문제에 대한 결과를 분석하였다. 아울러 학교현장의 수학수업에 활용할 수 있는 공학적 도구 활용교수${\cdot}$학습 보조자료를(단계별 수학디자인 산출물) 개발하여 제시하였다.

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고등학교 수학과 교육을 위한 CAI 프로그램 개발 연구 - 정적분을 중심으로 - (A Study on the Development of Computer Assisted Instruction for the High School Mathematics Education)

  • 이덕호;김왕식
    • 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.

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로봇 STEAM 교수학습 프로그램 제안 (Redesigning of STEAM Learning/Teaching Program for Robot)

  • 박현주;백윤수
    • 공학교육연구
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    • 제18권6호
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    • pp.3-10
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    • 2015
  • 이 연구에서는 로봇 연관 STEAM 교수학습 프로그램을 조사 분석하고, 초 중등학교를 위한 로봇 STEAM 교수학습 프로그램 내용을 제안하였다. 프로그램을 분석한 결과, 예술과 인문사회 분야의 내용이 가장 많은 것으로 조사되었고, 과학, 기술, 수학의 순서로 포함되어 있었다. 학교급별 STEAM 교수학습 프로그램 내용 융통합이 유사한 패턴이 나타났다. 중학교의 프로그램은 STEAM 교육에서 추구하는 상황 제시, 창의적 설계, 감성적 체험, 평가, 진로 등의 요소들을 균등한 비율로 포함하고, 초등학교와 고등학교의 프로그램은 진로와의 연계 내용이 적게 포함되어 있는 것으로 나타났다. STEAM 교육의 지향과 활동요소를 총체적으로 고려한 로봇 STEAM 교수학습 프로그램의 학교급별 내용을 제안하였다.

컴퓨터를 활용한 수학학습에 대한 사회문화적 관점 (Sociocultural perspectives on mathematics learning using computer)

  • 박성선
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제5권1호
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    • pp.13-20
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    • 2001
  • Interaction through communication plays critical role in the mathematics learning in the sociocultural perspectives. The communication make the students construct shared knowledge, and also plays a role of mediation in making meaning. So, we have to consider sociocultural eprspectives in design of the mathematics leaning using computer. While Computer Assisted Instruction was the one-directional teaching program which proceed from computer to students, mathematics leaning using computer in the sociocultural perspectives have to consider two-directional instruction that proceed from computer to students as well as from students to computer. This interactional activity is the critical thing in the mathematics learning using computer.

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수학교사의 확률과 통계에 대한 지식과 신념 (Mathematics teachers' knowledge and belief on the high school probability and statistics)

  • 김원경;문소영;변지영
    • 한국수학교육학회지시리즈A:수학교육
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    • 제45권4호
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    • pp.381-406
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    • 2006
  • This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

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마이크로티칭에서 수학 예비교사들의 수업 행동과 변화에 대한 연구 (A Study on Mathematics Pre-service Teachers' Teaching Behaviors and Changes in Microteaching)

  • 심상길;윤혜순
    • 한국수학교육학회지시리즈A:수학교육
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    • 제51권2호
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    • pp.131-144
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    • 2012
  • The purpose of this study is to investigate the change of mathematics pre-service teachers' teaching behaviors in microteaching. This study is organized along the following lines: 1) mathematics pre-service teachers conduct twice microteachings, 2) the microteaching recordings and lesson observation reports written by pre-service teachers are analyzed. Through reviewing the first microteaching, pre-service teacher have reviewed and found out improvements of their teaching. In the second microteaching, pre-service teachers' teaching behaviors have been positively and effectively changed with respect to teaching methods, proposal of learning objectives, prior knowledge usage, presenting lesson's content, concise descriptions, brief language usages, multimedia, and appropriate questions. However, they frequently used inappropriate expressions from their unconscious habits. Therefore, the educational institutions should provide opportunities involved in well-structured microteaching training program with pre-service teachers, which in turn, help pre-service teachers to have more positive teaching competence.

비고츠키 이론의 수학교육적 적용에 관한 연구 (A study on application of Vygotsky's theory in mathematics education)

  • 조윤동;박배훈
    • 대한수학교육학회지:수학교육학연구
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    • 제12권4호
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    • pp.473-491
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    • 2002
  • This article analyzes mathematics education from dialectical materialism acknowledging the objectivity of knowledge. The thesis that knowledge is objective advances to the recognition that knowledge will be internalized, and an idea of zone of proximal development(ZPD) is established as a practice program of internalization. The lower side of ZPD, i.e. the early stage of internalization takes imitation in a large portion. And in the process of internalization the mediational means play an important role. Hereupon the role of mathematics teacher, the object of imitation, stands out significantly. In this article, treating the contents of study as follows, I make manifest that teaching and learning in mathematics classroom are united dialectically: I hope to findout the method of teaching-learning to mathematical knowledge from the point of view that mathematical knowledge is objective; I look into how analysis into units, as the analytical method of Vygotsky, has been developed from the side of mathematical teaching-learning; I discuss the significance of mediational means to play a key role in attaining the internalization in connection with ZPD and re-illuminate imitation. Based on them, I propose how the role of mathematics teachers, and the principle of organization to mathematics textbook should be.

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'교실친화적 교사' 양성을 위한 문제중심학습 적용 효과 - 초등수학교육을 중심으로 (The Effect of the Problem-Based Learning for Training 'Classroom Friendly Teachers' - Focusing on the Elementary School Mathematics Education)

  • 이광호
    • 대한수학교육학회지:학교수학
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    • 제13권4호
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    • pp.543-562
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    • 2011
  • 본 연구에서는 교실친화적 교사가 갖추어야 할 내용 즉 '교실 활동 능력', '자기 개발 능력', 그리고 '교직 품성'의 세 영역을 중심으로 PBL 프로그램을 개발하고 그것을 적용하여 '교실친화적 초등 수학교사' 및 문제해결학습에 대한 개념을 명료화하여 두 개념의 융합점을 찾아 적용 가능성을 진단하고 '교실친화적 초등 수학교사'의 전문성 향상을 위한 PBL을 적용할 수 있는 프로그램을 개발 적용하며 그의 효과를 연구하였다. 그 결과로 예비교사들은 PBL을 통하여 수학에 대한 사고, 수학 학습에 대한 사고, 수학 교수에 대한 사고들이 긍정적인 방향으로 변화됨을 알 수 있었고 교실활동 능력과 교직품성을 기를 수 있었으며 문제해결을 위한 새로운 지식의 적용 및 문제해결 계획에 대한 반성과 개별학습 및 협동학습을 통하여 공통의 해결 방안을 강구함으로써 자기 개발 능력을 기를 수 있었다.

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아동들의 인지를 바탕으로 한 수학 교수: 미국의 Cognitively Guided Instruction의 소개 (Teaching Mathematics Based on Children's Cognition: Introduction to Cognitively Guided Instruction in U.S.)

  • 백재민
    • 대한수학교육학회지:수학교육학연구
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    • 제14권4호
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    • pp.421-434
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    • 2004
  • Cognitively Guided Instruction (CGI) is one of the most successful professional development programs for elementary mathematics teachers in US. This article introduces its theoretical background, research-based framework of addition and subtraction work, and how the program has been disseminated. Carpenter and Fennema started CGI aiming to develop a professional development program that focused on research knowledge of children"s thinking. Their goal was. to bring a significant change in teaching by helping teachers understand how children think mathematically. This 3-year NSF funded project grew to be 11-year long, and a number of publications have reported consistent successful learning and teaching by CGI students and teachers compared to counterparts throughout US. CGI′s success by focusing on improving teachers′ knowledge of children′s thinking offers possible opportunities for teacher educators to re-conceptualize teacher education in Korea.

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Teachers' Research Experiences in Labs and Fields

  • Shin, Myeong-Kyeong
    • 한국지구과학회지
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    • 제27권7호
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    • pp.715-722
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    • 2006
  • This study intended to find evidence of changes in teacher beliefs of teaching and learning and a case of infusing research experiences in teaching modules since their research participation. As part of this study, twenty three science and math teachers in Korea were provided with science research labs and field experiences in the University of Iowa for three weeks. The research units that teachers participated in for three weeks covered seven fields of subjects such as: geology, astronomy, chemistry, physics, mathematics, computer science, and environmental engineering. In the course of this study, the effectiveness of science research participation program was explored in terms of changing teacher beliefs and their production of teaching modules based on their research. This study especially focused on identifying changes of beliefs on science teaching and learning after participating in the research. A case study of a participant teacher was also conducted by comparing descriptively teaching modules before and after experiencing the program. It was found that the program affected the new modules and the research experiences affected participants' beliefs toward student centeredness.