• 제목/요약/키워드: mathematical teaching

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영아 수학적 탐색활동 지원을 위한 구성주의 교사교육프로그램이 영아교사의 수학지도 관련 변인에 미치는 효과 (Effects of Constructivism-Based Teacher Education Program for Supporting Infant's Mathematical Inquiry Activity on Variables Related to Infant Teacher's Mathematics Teaching)

  • 고은지;김지현
    • 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.

Teaching Moves for Students' Mathematical Proficiencies in Multiplication Lessons

  • Colen, Jung;Yeo, Sheunghyun;Kwon, Nayoung;Cho, Hoyun;Kim, Jinho
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제24권4호
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    • pp.279-311
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    • 2021
  • In this paper, we report the types of teaching moves a mathematics teacher educator attempted in his teaching of third-grade students at an urban elementary school in South Korea over two months. We analyze the lesson videos to find the patterns of teaching moves and speculate the link between the teaching and students' mathematical proficiencies recommended in the Common Core State Standards for Mathematical Practices. Closely related teaching moves to the students' development of a certain mathematical proficiency would imply the exemplary practices that teachers-both inservice and preservice teachers-can implement in their classrooms.

문제제기 수업이 수학 문제해결력과 창의력에 미치는 효과 (The Effect of Problem Posing Teaching on Mathematical Problem-Solving Ability and Creativity)

  • 이상원
    • 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.

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수업을 위한 수학적 지식과 수업의 수학적 질 사이의 관계: 고등학교를 중심으로 (Relationship of mathematical knowledge for teaching and mathematical quality in instruction: Focus on high schools)

  • 김연
    • 한국수학교육학회지시리즈A:수학교육
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    • 제59권3호
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    • pp.237-254
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    • 2020
  • 본 논문은 수업을 위한 수학적 지식과 수업의 질에 대한 상관관계를 보고하는 연구이다. 선다형 평가 문항 유형의 설문지를 이용하여 교사들의 수업을 위한 수학적 지식을 수집하였고, 촬영된 그 교사들의 수업을 수학 수업 분석 도구를 이용하여 수업의 질을 평가하였다. 두 점수들의 상관관계를 통계적으로 분석하여, 유의미한 양적 상관관계가 있음을 보고한다. 또한, 수집된 수업 영상과 교사들의 인터뷰 자료의 분석을 통해 수업을 위한 수학적 지식이 중재하지 못하는 수업의 질과 관련된 요소를 찾아내었다. 이러한 결과를 기반으로 수학 교사 교육에 대해 논의한다.

Mathematics Teachers' Understanding of Students' Mathematical Comprehension through CGI and DMI

  • Lee, Kwang-Ho
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제11권2호
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    • pp.127-141
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    • 2007
  • This paper compares and analyzes mathematics teachers' understanding of students' mathematical comprehension after experiences with the Cognitively Guided Instruction (CGI) or the Development of Mathematical Ideas (DMI) teaching strategies. This report sheds light on current issues confronted by the educational system in the context of mathematics teaching and learning. In particular, the declining rate of mathematical literacy among adolescents is discussed. Moreover, examples of CGI and DMI teaching strategies are presented to focus on the impact of these teaching styles on student-centered instruction, teachers' belief, and students' mathematical achievement, conceptual understanding and word problem solving skills. Hence, with a gradual enhancement of reformed ways of teaching mathematics in schools and the reported increase in student achievement as a result of professional development with new teaching strategies, teacher professional development programs that emphasize teachers' understanding of students' mathematical comprehension is needed rather than the currently dominant traditional pedagogy of direct instruction with a focus on teaching problem solving strategies.

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교사 양성 대학에서의 해석학의 학습과 지도 (Learning and Teaching of Mathematical Analysis in Teachers College)

  • 이병수
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권4호
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    • pp.541-559
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    • 2003
  • This paper considers learning and teaching of mathematical analysis in teachers college. It concentrates on showing a way how learning and teaching of mathematical analysis should be considered for mathematical teachers training. It is composed of five chapters including Chapter I as an introduction and Chapter Vasa concluding remarks. Chapter II deals with goal and contents of global mathematical analysis. The main Chapter, named Chapter III, demonstrates exhibition of contents, way of operations, and contents of teaching and learning of mathematical real analysis. Chapter IV shows an example of learning and teaching of mathematical real analysis concerning to fixed points and approximate solutions.

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수학적 문제해결 지도에서 교사의 역할에 대한 분석 (An Analysis on Teachers′ Role in Teaching Mathematical Problem Solving)

  • 전평국;정인수
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제7권1호
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    • pp.1-14
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    • 2003
  • The purpose of this research is to explore teachers' role actions in teaching mathematical problem solving and to analyze the influences of the teachers'role actions on their students' activities and beliefs about problem solving. The results obtained in this study suggested that the teachers' role actions brought qualitative differences to students' activities, and students' beliefs about mathematical problem solving were consistent with the perspective held by their teachers. Therefore, teachers should help students build up desirable beliefs about problem solving. They should understand teaching mathematical problem solving and play proper roles in various situations of teaching mathematical problem solving.

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함수 단원의 수학적 모델링 자료를 활용한 수업이 학생들의 학습능력 향상에 미치는 영향 (Impact on improve Student's learning ability in instruction using mathematical modeling teaching materials of function units)

  • 안종수
    • 한국학교수학회논문집
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    • 제15권4호
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    • pp.747-770
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    • 2012
  • 본 연구에서는 수학교과서 중 함수 단원을 중심으로 수학적 모델링 지도 자료를 개발하고, 이에 알맞은 교수 학습 모형을 정립한다. 그리고 개발한 수학적 모델링 지도 자료를 활용한 수업이 고등학생의 학업성취도, 수학교과에 대한 학습태도와 불안도에 어떠한 영향을 미치는지를 알아보는데 그 목적이 있다. 본 연구의 연구문제는 다음과 같다. 첫째, 수학 모델링 자료를 사용한 수업집단과 전통적인 교과서 중심 수업을 한 수업집단 사이에 학업성취도에 있어 차이가 있는가? 둘째, 수학 모델링 자료를 사용한 수업집단과 전통적인 교과서 중심수업을 한 수업집단 사이에 수학교과에 대한 학습태도와 불안도 에 어떠한 영향을 미치는지를 알아보는 것이다. 셋째, 수학적 모델링 자료를 사용한 수업에 대한 학생들의 반응은 어떠한 가이다.

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Development of a Teaching/Learning Model for the Mathematical Enculturation of Elementary and Secondary School Students

  • Kim, Soo-Hwan;Lee, Bu-Young;Park, Bae-Hun
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제1권2호
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    • pp.107-116
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    • 1997
  • The purpose of this study is to develop a teaching/learning model for the mathematical enculturation of elementary and secondary school students. It is clear that the development of teaching and learning in the classroom is essential for the realization of global innovations in mathematics education. Research questions for this purpose are as follow: (1) What can be learned from literatures reviews of the socio-cultural perspective on mathematics education, and of ethnomathematics as a mathematics intrinsic to cultural activities? (2) What is the direction of teaching and learning from the perspective of mathematical enculturation? (3) What is the teaching /learning model for mathematical enculturation? (4) What is the instructional exemplification based on the developed model? This study promotes the establishment of mathematics education theory from the review of literatures on the socio-cultural perspective, the development of a teaching/learning model, and the instructional exemplification based on the developed model.

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수학 교수·학습을 위한 '학교수학답사'의 개념 탐색 (A Study on School Mathematics Field Trips for Teaching & Learning Method in Mathematics Education)

  • 서보억
    • 한국수학교육학회지시리즈A:수학교육
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    • 제54권1호
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    • pp.31-47
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    • 2015
  • School Math Field Trips(SMFT) for School Mathematics can be defined as teaching and learning activity of mathematics going into the field of Korean history, culture, science and technology. This is a literature analysis study to systemize teaching and learning method of mathematics based on literature analysis and real SMFT activity. First, SMFT was introduced to improve cognitive affective and cultural-mathematical teaching and learning method of mathematics. Second, SMFT has three purposes of cognitive, affective and cultural-mathematical. Third, to conduct mathematical education activity the direction of teaching was set. Forth, the progressing way of developing material and SMFT was researched. Fifth, developing the evaluation standard of SMFT and evaluation method was suggested.