• 제목/요약/키워드: teaching-learning in mathematics

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역사발생적 관점에서 본 미적분 지도 (On the Teaching of Calculus according to the Historico-Genetic Principle)

  • 박문환;민세영
    • 대한수학교육학회지:학교수학
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    • 제4권1호
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    • pp.49-62
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    • 2002
  • developed by solving practical problems and gradually formalized and abstracted. But school mathematics seemed to stress the formalized and abstracted mathematics. The same is the case with calculus. In particular, it appeared extremely in teaching of calculus. It caused hindrance of learning and indeed, many students had difficulties in teaming of calculus. Therefore this study investigates the various approaches of calculus teaching and the history of calculus which include approaches by Archimedes, Galileo, Newton, Leibniz and Weierstrass etc. This may offer the implication for calculus teaching and we can find the alternative on the method of calculus teaching in historico-genetic principle. Finally we suggest the direction of calculus teaching from this perspective in tile concrete.

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학생능동수업모델에 기반한 초등학교 수학과 플립러닝 교수·학습 모델 설계 및 효과 (Effect and Design of a Teaching-Learning Model for Flipped Learning in Elementary School Mathematics Based on a Student's Active Learning Model)

  • 주혜진;류현아
    • 한국초등수학교육학회지
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    • 제22권3호
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    • pp.241-266
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    • 2018
  • 본 연구는 학생능동수업모델을 기반으로 한 플립러닝 모델을 수학과의 특성에 맞게 설계하고 적용한 후 그 효과를 살펴보는데 목적이 있으며, 플립러닝 적용 시 고려해야 할 점을 토대로 시사점을 도출하고자 하였다. 연구 결과 첫째, 학생능동수업모델에 기반한 초등학교 수학과 플립러닝 교수 학습 모델을 적용한 결과 학생들의 학업성취도가 향상되었다. 둘째, 수학과 플립러닝 프로그램의 적용은 학생들에게 교과서 중심의 수업보다 높은 만족감을 주었다. 셋째, 학생들은 시간과 장소에 구애받지 않고 자기 주도적 학습 습관을 형성할 수 있었고, 수업에 대한 기대가 높아짐을 알 수 있었다.

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An Updated Evidence-based Practice Review on Teaching Mathematics to Students with Intellectual Disabilities

  • Alhwaiti, Mohammed M.
    • International Journal of Computer Science & Network Security
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    • 제22권5호
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    • pp.255-265
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    • 2022
  • Educational programs for students with intellectual disabilities have undergone drastic changes in pursuit of the general curriculum. Accordingly, teachers in various fields, including mathematics, strive to find effective methods that enhance learning. The objective of this systematic review is to examine the field of teaching mathematics to students with intellectual disabilities to investigate relevant effective teaching strategies and required teaching skills. To achieve this goal, studies published during the period 2018-2021 were reviewed. Findings indicate the inclusion of nine studies that met the inclusion criteria out of 55 studies. The included studies found that the system of least prompts (SLP) in conjunction with feedback and error correction, and schema-based instruction are generally the most effective strategies in teaching mathematical skills to students with intellectual disabilities. Addition is the most targeted skill, followed by subtraction and algebra problem solving. The least targeted skills are multiplication, recognition of geometric shapes, calculating price after discount, rapid recognition of numbers, and rapid problem solving. The paper provides recommendations and suggests venues of future research.

수학교육학에서 바라본 학습심리학의 발달과정과 전망 (Retrospective View of Developmental Process and the Future Prospect of Psychology of Learning Mathematics)

  • 황우형
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권2호
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    • pp.121-135
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    • 2003
  • This article retrospects the developmental process of the psychology of learning and its' influence on mathematics education. At the end of the article, brain-based learning science is introduced to examine its possibility to improve the psychology of learning mathematics. Behaviorists points of views such as Skinner, Guthrie, and Gagne were summarized to discuss the influences on the learning and teaching of mathematics. Gestalt' theories and Constructivism are also included in the discussion of developmental process of learning psychology. In elaboration of the brain-based learning science, recent research findings and the possibility of it's impact on mathematics education were discussed. Since mathematics itself is the most abstract subject it could be more challenging to identify the teaming process of mathematics compared with other areas. The possibilities of identifying the teaming process of mathematics are cautiously anticipated with a help of new paradigm.

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Cabri II를 활용한 도형의 교수-학습 방안 - 반힐이론을 중심으로 - (A Teaching-Learning Method of Figures Using Cabri II - Focused on the theory of van Hiele -)

  • 최수정;표용수
    • 대한수학교육학회지:학교수학
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    • 제2권1호
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    • pp.165-181
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    • 2000
  • The teaching-learning methods of figures using computers make loose the difficulties of geometry education from the viewpoint that the abstract figures can be visualized and that by means of this visualization the learning can be accomplished through the direct experience or control. In this thesis, we present a teaching-learning method of figures using Cabri II so that the learners establish their knowledge obtained through their search, investigation, supposition and they accomplish the positive transition to advanced 1earning. So the learners extend their ability of sensuous intuition to their ability of logical reasoning through their logical intuition.

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중학교 1학년 수학교실에서의 배움공동체 교수·학습 방법 효과 분석 (The Effects of Teaching Based on a Learning-communities Approach to Mathematics in Middle School)

  • 김선혜;이봉주
    • 한국학교수학회논문집
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    • 제19권4호
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    • pp.417-439
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    • 2016
  • 이 연구에서는 중학교 1학년 수학교실에 도입한 배움공동체 교수 학습 방법의 효과를 수학성취도와 수학에 대한 태도의 두 측면에서 조사하고자 하였다. 이를 위하여 서로 다른 중학교 1학년 각각 1개 학급을 선정한 후에 한 학기 동안 각각 배움공동체 교수 학습 방법과 교과서 기반 설명식 교수 학습 방법을 적용하였다. 연구 결과, 중학교 1학년 학생의 수학 성취도는 두 교수 학습 방법 사이에 유의미한 차이가 없는 것으로 나타났다. 반면에, 수학에 대한 태도는 배움공동체 교수 학습 방법으로 학습한 학생이 교과서 기반 설명식 교수 학습 방법으로 학습한 학생보다 유의미하게 더 긍정적인 것으로 나타났다. 특히, 수학에 대한 태도의 7가지 하위 영역 중에서 수학에 대한 호기심, 과제집착력과 의지, 창의적 사고, 수학 수업 참여 등의 4개 영역에서 유의미한 차이가 있었다.

증등 수학교사의 교수-학습에 대한 태도 조사 분석 - 부산시 및 경상남도 중등 수학교사를 대상으로 - (Analysis of survey on Secondary Mathematics Teachers' Attitudes toward Teaching and Learning)

  • 이종연;이상백
    • 대한수학교육학회지:수학교육학연구
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    • 제8권1호
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    • pp.11-29
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    • 1998
  • The purpose of this thesis was to improve the plans and methods of teaching and learning activities and contribute to developing teachers` quality and reeducating them by investigating teachers' attitudes toward teaching and learning have a significant effect on the students' attitudes toward mathematics and the students' ability development at mathematics. The inventory was composed of 56 items : three main areas and eight sub-areas. Added seven background factors were sex, by whom was established (is it a public or nongovernmental \ulcorner), teaching career, age, what kind of school (is it general or vacational high school or middle school\ulcorner), region, college. For this analysis of materials used SAS program. And analysis of variance was applied on the seven background factors. All subjects in this study were 341 secondary school mathematics teachers in pusan city and Kyungsangnam-do were surveyed by the questionnaire of Likert type to which the respondents' seven background elements were added. Main results this study were as follows : 1. The overall attitude of the measured secondary school mathematics teachers tends to be positive but a little indifferent. Also attitude toward the students was a little more positive than the other attitudes. 2. There were significant differences (1%) among the sub-level areas except three of them. (r = 0.17~0.60) 3. There were significant differences (5%) by the result of Multiple comparison test among the schools in learning and teaching. So the teachers working at middle schools and general high schools were more positive than those working at vocational high schools. 4. The result of comparison among region was that teachers working in towns and cities were more positive than those working in the country. But there was no significant difference between the teachers working in large cities and those working in other region. 5. There was no significant difference in the overall attitudes toward teaching and learnig among the sex, by whom was established(is it public or nongovernmental\ulcorner), teaching career, age, college. The study left much deficiency to be desired and has to be followed by a continuing study to make it better. For the following study, it is necessary to examine the validity and reliability of the measuring tools more thoroughly and investigate the attitudes with sufficient samples all over the country.

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초등수학에서 측정활동에 기반한 소수의 학습.지도 방안 및 학생의 이해 실태 분석 (A Construction of 'Decimal Fraction' Unit of Elementary Mathematics Textbook and Analysis of Students' State of Understanding Based on Measurement Activity)

  • 김은정;강흥규
    • 한국초등수학교육학회지
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    • 제18권1호
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    • pp.37-62
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    • 2014
  • 소수 개념은 측정수, 십진기수법, 분수, 비, 작용소, 통약 불가능성, 무한근사, 실무한, 계산수 등 여러 측면을 가지고 있지만, 이 소수 개념의 요소들은 분리될 수 있는 것이라기보다는 단위의 세분할에 의한 측정활동에 복합적으로 내재되어 있다. 요컨대 소수 지도의 핵심은 측정활동이며, 소수의 개념 지도를 위해서는 자연수, 분수와의 관계 이해와 십진기수법적인 자리체계를 명확히 이해시키는 것이 중요하며 그 수단으로 측정활동이 강조되어야 한다. 이 논문에서는 측정활동을 방법으로 소수에 내포된 여러 개념들을 통합적으로 이해시킬 수 있는 학습 지도안을 구성하고, 그에 따른 학생들의 이해 실태를 분석하고자 한다.

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Exploring the Openness and Innovation of Experiment Teaching in College Mathematics

  • Dan, Qi;Shen, Xiaona;Wu, Songlin;Yang, Tinghong;Fu, Shilu
    • 한국수학교육학회:학술대회논문집
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    • 한국수학교육학회 2010년도 제44회 전국수학교육연구대회
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    • pp.281-289
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    • 2010
  • Experiment teaching is an important part for science and engineering colleges, teaching through different pilot projects: First, help students to consolidate the theory of operation; second, trail students the capacity and the ability to solve practical problems. Improve students the curriculum of learning, and promote the formation of students to discover and solve the problem. of the basic quality in training students hands-on ability and ability to innovate, while guiding them to develop the attitude of scientific truth-seeking, the style of rigorous and thorough and the spirit of unity and coordination.

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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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