• 제목/요약/키워드: calculus course

검색결과 37건 처리시간 0.023초

대학의 미적분학 교과목에서 수업 방식에 따른 교육 효과 고찰 (Comparison of the Effects on Teaching Calculus for Engineering Students)

  • 김성옥
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제30권1호
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    • pp.47-65
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    • 2016
  • 국내 대학의 여러 분야에서 블렌디드러닝과 면대면 수업 방식에 의한 교육 효과를 비교한 연구 결과들이 나와 있으나 대학의 수학 분야 혹은 미적분학 과목에 관해서는 찾아보기 쉽지 않다. 여기서는 공학계열 전공을 선택하고자 하는 학생들을 대상으로 하는 대학 미적분학 과목에서 블렌디드러닝과 면대면 수업방식에 따른 교육 효과를 H대학의 사례를 분석하여 선행연구결과와 종합하여 고찰한다.

대학 미적분학 수준별 교육 사례와 수치연산 소프트웨어를 활용한 교육과정 개발 연구 (A case study on differentiated curriculum for the university calculus and the curriculum development using a numerical software)

  • 최은정
    • 한국수학교육학회지시리즈A:수학교육
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    • 제48권3호
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    • pp.213-234
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    • 2009
  • College students have a diverse educational background with the recent multiplicity in university admissions standards and procedures. As a result, their mathematical preparation and performance varies widely. Teaching calculus to such a diverse student group is a demanding task. Differentiated curriculum has been conducted for the university calculus course in Yonsei university for the past five years. A case study on the differentiated curriculum in Yonsei university is presented for the curriculum improvement. With its ideal purpose, the differentiated curriculum has created issues and problems in practice. As an alternative to the ideal differentiated curriculum, this study shows that a computer-based approach using a numerical software could give aids to overcoming the difficulty of inadequately prepared students in the learning process while mathematically sophisticated students could keep interested in the course. This study also presents the useful topics in calculus that can be implemented for computer-based calculus education and provides guidelines for the effective usage.

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The Effect of Problem Posing Oriented Calculus-II Instruction on Academic Success

  • Akay, Hayri;Boz, Nihat
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제13권2호
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    • pp.75-90
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    • 2009
  • There are concepts in calculus which are difficult to teach and learn. One of these concepts is integration. However, problem posing has not yet received the attention it deserves from the mathematics education community. There is no systematic study that deals with teaching of calculus concepts by problem posing oriented teaching strategy. In this respect this study investigated the effect of problem posing on students' (prospective teachers') academic success when problem posing oriented approach is used to teach the integral concept in Calculus-II (Mathematics-II) course to first grade prospective teachers who are enrolled to the Primary Science Teaching Program of Education Faculty. The study used intervention-posttest experimental design. Quantitative research techniques were employed to gather, analyze and interpret the data. The sample comprised 79 elementary prospective science teachers. The results indicate that problem posing approach effects academic success in a positive way and at significant level.

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Offer Calculus to High School Students: The Use of Technologies Can Clear up People's Doubts

  • Wang, Gaoxia;Zhu, Yan
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제6권2호
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    • pp.117-122
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    • 2002
  • From the beginning of the 20th century, calculus is gradually offered to high school students in many countries. However, in Chinese high school, the instruction on calculus is nearly an untouched field. Many people don't believe that high school students can study calculus well. They think calculus knowledge in students' brains is likely to become the “half-cooked food”, and this can produce a bad effect on the study of formal calculus at university. The authors consider that the emphasis of calculus in high school should be the intuitive understanding of fundamental calculus concepts, and it is also the basis of the understanding of formal concepts. Traditional mathematics course with chalk can't meet the needs of calculus teaching. The use of technologies can enhance the calculus teaching, especially the informal and visual calculus teaching, help students understand the underlying concepts. The authors describe how the use of technologies can improve the calculus teaching and learning, and point out that the use of technologies can clear up people's doubts.

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중등 교사 양성을 위한 미적분학 강좌 운영방안 (Learning Program of Calculus Related Courses for Training of Mathematics Teacher of Secondary Schools)

  • 강미광
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권4호
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    • pp.523-540
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    • 2003
  • The main purpose of this work is to propose programs of calculus for the department of mathematics education of teacher training universities. There is a description of the characteristics, goal and contents of calculus course for pre-service teacher, followed by principles for teaching the subject. We suggest the constituents and something being kept in mind for each part in calculus.

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Modified Moore 교수법을 적용한 다변수미적분학 수업에서 학습에 대한 학생들의 인식 변화 (A Change in the Students' Understanding of Learning in the Multivariable Calculus Course Implemented by a Modified Moore Method)

  • 김성아;김성옥
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제24권1호
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    • pp.259-282
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    • 2010
  • 본 연구자들은 이 논문에서 다변수미적분학 수업에 적용한 변형 무어교수법(Modified Moore Method)을 소개하고, 이 교수법을 적용한 수업에서 학습에 대한 학생들의 인식변화와 학습 효과를 관찰하여 효과적인 교수 학습을 논의하였다. 본 연구는 3주 기간의 여름계절학기 강좌로 개설된 다변수미적분학 수업을 수강한 15명의 학생들을 대상으로 실시되었다. 학생들의 능동적 예습을 안내하기 위하여 주요 수학 개념에 관련된 단계별로 구조화된 발문 형식의 예습자료를 미리 제시하였다. 수업 중 학생들의 소그룹 협력학습 과정과 발표를 관찰하고, 매 수업 후반에 작성한 학생들의 강의일지와 학기말에 실시한 설문 조사를 분석한 결과에 의하면, 학생들은 스스로 탐구하여 발견하는 학습을 통하여 주제 개념에 대하여 보다 깊이 이해할 수 있음을 인식하게 되었고, 동료와의 토론 및 상호 가르침을 통하여 다양한 내용의 학습과 반성적 사고를 경험할 수 있었다.

'생명과학을 위한 수학' 강의 분석 및 개선 방안에 대한 소고 (On the Analysis and Improvement of Calculus for Life Science)

  • 강혜정;김도한;서승현;안흥주;최광석
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제20권4호
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    • pp.503-521
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    • 2006
  • 'Calculus for Life Science' is one of the calculus courses for students majoring life science in Seoul National University. Contrary to the other calculus courses for students in natural sciences and engineerings, in 'Calculus for life Science' we have primarily chosen computer-based curriculum that is useful to life science and so we have tried to fulfill the requirements of the students majoring life science. Like this, we are of the opinion that there are diverse requirements in life science as well as other majors in basic mathematical education of the university. Upon this view, in this research, we consider the present conditions, the points at issue and study improvements of them. In section II and III, we introduce briefly the present 'Calculus for Life Science' focused on the curriculum. In section IV, according to the course evaluations and questionnaire, we make an analysis of the present condition and the points at issue of 'Calculus for Life Science'. In section V and VI, we present the improvements of the curriculum and the several education environments.

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Maplet을 이용한 미적분학 교수-학습 방법 (Teaching-Learning Method for Calculus Education with Maplet)

  • 한동숭
    • 한국학교수학회논문집
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    • 제6권2호
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    • pp.71-85
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    • 2003
  • 본 논문에서는 학교 미적분학 교육에서 maple 패키지인 maplet의 활용 가능성에 대하여 연구하였다. 컴퓨터나 계산기를 수학교육에 사용하는 것에 대하여 많은 논란이 있었지만, 컴퓨터를 효과적으로 활용하고 수학적 이미지를 시각화하여, 학생들의 흥미를 유발할 수 있을 뿐만 아니라 수학적 개념을 귀납적, 직관적으로 전달할 수 있다. Maple은 현재 대학교육에서 많이 활용되고 있지만, maplet이라는 maple 패키지를 이용하여 maple application을 활용한다면 중등 교육에서도 좋은 멀티미디어 교구가 될 것이다. 본고에서는 Maplet의 사용법을 알아보고, 미적분학에서 활용할 수 있는 몇 가지 application을 제작$.$소개하였다.

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미분적분학 단계별 교육을 위한 교과내용 및 방법 연구 (A Study on a Step-wise level Educational Model for Calculus)

  • 심재동;하준홍;이경희;천창범
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제19권4호
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    • pp.633-647
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    • 2005
  • The rapid change in school mathematics curricula occurred over last some periods requires lots of change or improvement in the education method for the university mathematics, especially in calculus. As an effort in this direction we restrict our concern to the freshmen of year 2002 of the Korea university of technology and education to investigate a correlation between their mathematics score on the national entrance examination and achievement score measured by their final grades in a calculus course. As a result of this research we propose a step-wise level educational model for the calculus education. In the model an appropriate teaching contents and method proceeding through the three steps are suggested and implementation issues are discussed. We believe that carrying out mathematics curricular are suggested in the model will be of service to calculus education particularly for student under the 7th national curriculum reform.

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A Case Study of Flipped Learning in Calculus of one Variable on Motivation and Active Learning

  • JEONG, Moonja
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제19권4호
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    • pp.211-227
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    • 2015
  • Information Technology influenced on classroom to change the teaching and learning method. Recently, flipped learning method became a hot issue in education by using Information Technology. Learning management system that is introduced in our university in the spring semester 2015, made it possible to apply flipped learning method. So, we used the flipped learning method in a calculus course. In this paper, we found that flipped learning in Calculus we was a little bit affirmative in the aspect of motivation and active learning from students' response on flipped learning method. We analyzed the reason that students were not so positive in continuing flipped learning even though they liked flipped learning a little bit better than traditional learning. We suggest what we pay attention to for applying the flipped learning method effectively.