• Title/Summary/Keyword: 대학수학지도

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학사지도를 통한 대학 미분적분학 교육

  • Kim, Yeong-Sik
    • Communications of Mathematical Education
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    • v.18 no.2 s.19
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    • pp.47-54
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    • 2004
  • 이 논문에서는, 대학수학의 기초학력 및 기본 소양교육이 부족한 대학 1학년 신입생들에 대하여 학사지도 및 진로지도를 통하여 대학 미분적분학 교육을 효율적으로 이끌어 갈 수 있는 방안에 대하여 연구하고자 한다.

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A Teaching Method of Basic Mathematics for the Matriculants by Ability Grouping (대학 입학예정자를 위한 기초수학 수준별 학습지도 방안)

  • Kim, Hee-Jin;Seo, Jong-Jin;Pyo, Yong-Soo
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.339-354
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    • 2011
  • The purpose of this paper is to find out the effective teaching method and improvement for managing the special lecture of basic mathematics which is grouped by the level of low achievement students who are matriculants. From the result, we want to know how the lecture with teaching method of differentiated learning affect on the students, especially who have under achievement, to be interested and confidential in mathematics.

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Math-Club을 이용한 대학수학 학습

  • Kim, Byeong-Mu
    • Communications of Mathematical Education
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    • v.10
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    • pp.271-282
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    • 2000
  • 수학과가 없는 대학에서 대학수학을 가르치는데 여러 가지 어려운 점들을 Math-Club을 이용하여 해결하고, 또한 그들을 활용하여 수학에 대한 관심을 고조시키며 수학에 자신감을 상실한 학생들을 지도하도록 한다. 그리고 Math-Club은 수학 학습 이외의 대학생활과 앞으로 사회에 진출하여 활동하는데 유익한 정보를 제공하며, 더불어 사는 사회의 구성원으로서 Math-Club이 좋은 배경과 힘이 됨을 알게 한다.

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The Significance of Mistakes and Fallacies in Teaching College Mathematics (문제풀이의 오류, 결점, 모순을 이용한 대학수학 학습지도)

  • Kim, Byung-Moo
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.125-152
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    • 2007
  • When we teach mathematics in college, we find a lot of mistakes, fallacies and flaws in the solution of the students. In this paper, we presented a variety of examples of mistakes and fallacies, including wrong proofs, misinterpreted definitions and the mistaken use of theory. The examples, taken from different classes and subjects, are based on our own experience of teaching mathematics. As the previous research argued, such mistakes, fallacies and flaws should be considered as natural phenomena in the students' progress and should be analyzed systematically for the more effective education. By providing a wide-ranging examples of mistakes and fallacies, and detailed analyses of them, we emphasized the significance of the analysis of mistakes and fallacies and proposed that more careful attention should be paid on the collection and development of teaching materials in the area of mistake and fallacy analysis. We hope that this study would be a meaningful contribution to the teaching of mathematics in college.

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The Analysis of the Attitudes of Engineering Students to Mathematics and Its Implications (대학수학 지도를 위한 공대생의 수학에 대한 태도 조사)

  • Kim, Byung-Moo
    • Communications of Mathematical Education
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    • v.21 no.3
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    • pp.467-482
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    • 2007
  • In this paper, we surveyed the attitudes of engineering students in 6 universities in Chungcheong area to mathematics by 5-scale degrees and performed a comparative analysis of the results. The results revealed a number of meaningful points which should be applied to college mathematic education. On the basis of the results of the analysis, we made the following suggestions; 1) It is necessary to pay much attention to the students who have insufficient math ability 2) Special teaching methods are required for Freshman engineering students 3) Practical teaching strategies should be developed for engineering students that are based on the research on their math background 4) We should develop more materials in the area of mathematical concept image 5) More attention should be paid to the relation between math concepts and engineering concepts. Besides the above suggestions, we proposed that more research about students' math background and attitudes should be conducted for more efficient college math education.

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대학수학에서 비유클리드 기하의 지도

  • Kim, Byeong-Mu
    • Communications of Mathematical Education
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    • v.13 no.2
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    • pp.693-700
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    • 2002
  • 대학수학(미분적분학의 이해, 생활과 수학)수업에서, 공간좌표 단원과 도형편을 지도할 때, 구체적인 모델을 들고 또, 구체적인 예- 쌍곡기하에서는, i)삼각형의 세 내각의 크기의 합은 180도 보다 작다 ii) 피타고라스 정리가 성립하지 않는다. iii) 세 내각의 크기가 90도이고 한 내각의 크기가 90도 보다 작은 사각형이 존재한다. 는 예를 들어 유클리드 기하와 쌍곡기하에 대해 비교 설명하며 수업에 흥미를 불러 일으키고, 새로운 세계에 대한 생각을 할 수 있는 기회를 제공한다.

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대학수학에서 문제해결지도

  • Jeong, Chi-Bong
    • Communications of Mathematical Education
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    • v.15
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    • pp.207-214
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    • 2003
  • 수학교육에서 학생들이 학습을 통하여 습득하여할 중요한 주제는 수학 지식과 수학을 다루는 인지적 조작 기술일 것이다. 특히 수학지식과 지식의 활용은 문제해결을 통한 학습에서 의미 있게 학생에게 나타나며 이를 통하여 수학 학습 동기를 강화하고 수학의 가치를 느끼게 한다는 점에서 중요한 의의를 갖는다. 대학수준의 수학교육과정에서도 문제해결은 중요한 수학교육의 중심 수단으로서 목적으로서 선언되어 있지만 실제 수업에서 잘 다루고 있지 못하다. 문제해결 지도에 대한 접근 방식으로 1950년대의 문제해결전략을 다룬 Polya, 1990년대의 메타인지적 접근을 강조한 Schoenfeld 및 최근의 여러 연구자들의 활발한 연구가 이어지고 있다. 본 논문에서 대학 수준의 문제해결 수업의 접근 방법을 소개함으로 문제해결 수업을 구현할 수 있는 지식을 제공한다. 특히 Schoenfeld의 문제해결 수업 모델은 수학 교육의 교실 수업으로의 구현 측면에서 갖는 다양한 함의를 제시한다.

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Notes on Effective College Mathematics Education by Counseling Freshman and by Promotion of Application in Engineering Mathematics (학사관리지도 및 전공영역활용 지도가 이공계 기초대학수학 교육에 미치는 영향)

  • Kim, Young-Sik
    • Communications of Mathematical Education
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    • v.19 no.4 s.24
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    • pp.793-803
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    • 2005
  • In this paper, we study the effectiveness of college mathematics education by counseling freshman. And we discuss the effectiveness that the college mathematics education can be promoted throughout counseling freshman and by teaching examples in engineering mathematics in courses of calculus and differential equation and linear algebra.

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Educational Effects of Pre-service Mathematics Teacher's Teaching Experiment on Problem Solving Process (예비수학교사의 문제해결 지도 실행의 교육적 효과)

  • Kim, Nam-Hee
    • Journal of the Korean School Mathematics Society
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    • v.11 no.2
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    • pp.159-175
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    • 2008
  • The purpose of this study is to investigate the educational effects of pre-service mathematics teacher's teaching experiment on problem solving process and to give some suggestions in teacher training curriculum. The central theoretical background of this study is Palya's mathematical problem solving theory. In this study, we selected 21 pre-service mathematics teachers as research subject. And we conducted classroom activity that is constructing their problem-solving teaching design. We collected research data as observation materials, documents, video-service records etc. From these research data, we analysed that pre-service mathematics teacher's teaching experiment on problem solving process showed many significant educational effects. Therefore, we proposed that we need to serve many opportunities of teaching experiment on problem solving process to pre-service mathematics teacher in teacher training curriculum.

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Teaching method for general mathematics subjects using the correlation analysis between the mathematics basic education evaluations (수학 기초학력 평가들 간의 상관관계 분석을 통한 교양수학 교과목 학습지도 방안)

  • Lim, Yeon-Hui;Pyo, Yong-Soo
    • Journal of the Korean School Mathematics Society
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    • v.18 no.3
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    • pp.335-352
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    • 2015
  • In this paper, we selected 145 students from engineering college students who took P University's the Scholastic Level Assessment and registered the Basic Mathematics Class among the students who achieved 4th~7th grade in the mathematics B-type of the College Scholastic Ability Test. We compared and analyzed the correlation among the chosen students' grade for the College Scholastic Ability Test, test results of the Scholastic Level Assessment and mid-term test of the Basic Mathematics Subject, type of college entrance and actual condition survey of students in order to derive optimized teaching method for general mathematics subjects which can possibly increase the students' academic ability.