• Title/Summary/Keyword: 대학수학지도

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Is vector theory prior to matrix theory in teaching of linear algebra (선형대수학의 학습에서 벡터이론은 행렬이론보다 선행되어야 하는가)

  • Pak, Hong-Kyung;Kim, Tae-Wan
    • Journal for History of Mathematics
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    • v.23 no.2
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    • pp.89-99
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    • 2010
  • Today linear algebra is one of compulsory courses for university mathematics by virtue of its theoretical fundamentals and fruitful applications. Vector theory and matrix theory constitute of main topics in linear algebra. In the present paper we consider the question which of the two topics is prior in teaching of linear algebra. We suggest that vector theory should be prior to matrix theory contrary to the historical order of them.

The Radian - Radian is the angle? or the pure number? - (라디안의 속성에 관한 연구 : 1rad 은 각인가 실수인가?)

  • Kim, Wan-Jae
    • Journal of Educational Research in Mathematics
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    • v.19 no.3
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    • pp.443-459
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    • 2009
  • Despite the many discussions of mathematics education, there are a lot of controversy of the Radian. Generally, Radian is taken to have two properties. One property is an angular property and other is a property of fore numbers. For this reason, both Students and teachers are hard to understand the radian. This study is to provide a base of the radian understand. In essence, radian has only angular property, and other property is a derived property. So radian is to be understood in an angle.

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Ground of the revolutionary change in early 20C American Mathematics (20세기 초 미국수학계의 혁명적변화의 바탕)

  • Lee, Sang-Gu;Hwang, Suk-Geun;Cheon, Gi-Sang
    • Journal for History of Mathematics
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    • v.20 no.3
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    • pp.127-146
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    • 2007
  • From 1876 to 1883, British mathematician James Joseph Sylvester worked as the founding head of Mathematics Department at the Johns Hopkins University which has been known as America's first school of mathematical research. Sylvester established the American Journal of Mathematics, the first sustained mathematics research journal in the United States. It is natural that we think this is the most exciting and important period in American mathematics. But we found out that the International Congress of Mathematicians held at the World's Columbian Exposition in Chicago, August 21-26, 1893 was the real turning point in American's dedication to mathematical research. The University of Chicago was founded in 1890 by the American Baptist Education Society and John D. Rockefeller. The founding head of mathematics department Eliakim Hastings Moore was the one who produced many excellent American mathematics Ph.D's in early stage. Many of Moore's students contributed to build up real American mathematics research power in early 20 century The University also has a well-deserved reputation as the "teacher of teachers". Beginning with Sylvester, we analyze what E.H. Moore had done as a teacher and a head of the new department that produced many mathematical talents such as L.E. Dickson(1896), H. Slaught(1898), O. Veblen(1903), R.L. Moore(1905), G.D. Birkhoff(1907), T.H. Hilderbrants(1910), E.W. Chittenden(1912) who made the history of American mathematics. In this article, we study how Moore's vision, new system and new way of teaching influenced American mathematical society at early stage of the top class mathematical research. and the meaning that early University of Chicago case gave.

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한국 수학 교육이 당면한 문제점과 해결 방안에 관한 연구

  • Choe, Yeong-Han
    • Communications of Mathematical Education
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    • v.8
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    • pp.247-255
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    • 1999
  • 대부분의 수학 교사들은 국내외에서 개최되는 많은 학술 행사에 참여하기를 꺼려하고 있으며 수학 교육의 새로운 정보에 접촉하려는 의지가 부족한 실정이다. 이 때문에 세계의 수학 교육의 흐름이 어떤지, 우리 나라의 수학 교육과정이나 교수 ${\cdot}$ 학습법이 외국의 것과는 어떻게 다른지 또는 수준에 차이가 있다면 얼마나 차이가 있는지 별 관심을 갖지 않고 있으며 구태여 많은 노력을 들여 이러한 것을 알려고 하지도 않는다. 필자의 판단으로는 우리 나라의 수학 교육이 당면하고 있는 가장 큰 문제는 수학 교사들은 많으나 우수한 자질을 가진 수학 교사들이 많지 않기 때문에 창의성 교육이 제대로 이루어지지 않는 것과 학교 수학 교육에서 능력별 반 편성이 무엇보다도 필요한 줄 알면서도 수십년 동안 제대로 실행되지 않아 학생들의 수준에 맞도록 효율적으로 수학을 지도할 수 없는 것이라 생각한다. 이 두 문제는 모두 몇몇 수학 교사들의 의지와 노력만으로는 해결할 수 없는 문제들이다. 그러나 많은 교사들이 모여 이러한 문제점들을 공동으로 인식하고 함께 해결하기를 노력한다면 시일이 좀 걸리더라도 언젠가는 해결되리라고 믿는다. 장기적으로 수학 교사의 자질을 향상시키기 위해서는 교사 양성 기관(사범대학과 교육대학교)의 개선이 필요하며, 능력별 반 편성은 교육정책자들이나 교육행정가들이 마음만 먹으면 1${\sim}$2년내에 이룰 수 있다. 이제 전국수학교육연구대회와 같은 행사는 단순한 수학교육이론의 전달이나 현장연구에서 발견한 새로운 사실들만은 발표하는 곳이 아니라, 될 수 있는 데로 많은 수학 교육자들이 모여 수학 교육의 문제점을 찾고, 함께 풀어 나가기 위한 토론의 장(場)이 되어야한다. 또 필요에 따라서는 수학 교육에 관련한 어떤 결의도 하고 교육부 또는 각 교육청이나 교육연구기관에 보내는 건의문도 만들어야 할 것이다. 어떻든 이와 같이 전국 수학교육자들이 모일 때는 꼭 참여하여 우리의 문제를 적극적으로 해결하도록 힘을 합치는 것이 수학교육자의 올바른 태도라고 생각한다.

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An Analytic Study of Beliefs in Mathematics and Mathematics Education (예비 중등수학교사의 수학 및 수학교육에 관련한 신념 분석연구)

  • Kang, Ok-Ki;Han, Shin-Il
    • Journal of Educational Research in Mathematics
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    • v.17 no.4
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    • pp.381-393
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    • 2007
  • The study focuses on what to consider and do for the improvement of math education of Korean Universities by comparing freshmen and seniors of department of math education in their beliefs in mathematics and math. education. The major comparing topics in the beliefs are composed of perception of mathematics as a science, learning methods of mathematics, teaching methods of mathematics, and roles and qualifications of math. teachers. The results of the study show that junior students tend to be more positive in their beliefs, especially in math education area than that of mathematics, compared to the freshmen. It implies that how important the role of topics covered in math education during college years is for changing the future teachers' beliefs in math and math education more positively. The supposed influencing contents of the curriculum of math. education are composed of learning reflection method based on problem-based learning, understanding mathematics as originated from the real world, mathematical pedagogy, text analysis, practice in classroom, and understanding various concepts in math. education area.

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Teachers' Decision and Enactment of Their Content Knowledge Assessed Through Problem Posing - A U.S. Case (문제 만들기를 통해 알아본 교사의 내용지식 사용에 대한 결정과 수행 - 미국 사례를 중심으로)

  • Noh, Jihwa
    • Communications of Mathematical Education
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    • v.31 no.2
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    • pp.153-166
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    • 2017
  • 164 preservice elementary teachers' decision and enactment of their knowledge of fraction multiplication were examined in a context where they were asked to write a story problem for a multiplication problem with two proper fractions. Participants were selected from an entry level course and an exit level course of their teacher preparation program to reveal any differences between the groups as well as any recognizable patterns within each group and overall. Patterns and tendencies in writing story problems were identified and analyzed. Implications of the findings for teaching and teacher education are discussed.

Analysis on Features of Prospective Mathematics Teachers' Motivation in Learning Mathematics (예비 수학교사의 수학 학습동기 특징 분석)

  • Lee, Jong-hak;Kim, Somin
    • Journal of the Korean School Mathematics Society
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    • v.23 no.4
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    • pp.491-508
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    • 2020
  • In this study, by measuring and analyzing the motivation of prospective mathematics teachers in learning mathematics, we tried to understand the features of prospective teachers' learning motivation and find the implications of developing expertise in terms of learning motivation. Prior research related to learning motivation identifies the three elements that consist of learning motivation as values, self-efficacy, and interest. Based on these elements, a survey tool was developed to investigate the learning motivation of prospective mathematics teachers. This survey was then carried out for 120 students in the mathematics education department of a local college. In addition, the survey asked what methods prospective teachers would choose for motivating their future students. According to the results of this study, the overall motivation of prospective mathematics teachers differed by grade (academic year) and there were significant differences between grades in self-efficacy and interest factors. In addition, the prospective teachers preferred to use interesting materials rather than inform the value of learning mathematics to induce learning motivation. Therefore, it is necessary to enhance this self-efficacy and interest in learning and to provide various material to strengthen this motivation for learning.

The Admissions Officer system of improvement plan through the analysis the Grade Point Average of University Admission Track (대학입학전형별 학업성취도 분석을 통한 입학사정관제 개선 방안 -A대학 사례분석-)

  • Yang, Eun-Mok;Seo, Chang-Ho;Hong, Do-Won;Kim, Jong-Hun
    • Journal of Digital Convergence
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    • v.14 no.4
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    • pp.387-396
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    • 2016
  • Admission Officer System in humanities course is settled and is obtaining good results. On the other hand, Admission Officer System in natural world course has an insufficient results in study achievement section comparing other admission type. To resolve this problem, Admission Officer system in natural world course has to reflect basic academic ability of mathematics and science. Also, after entering university to increase the basic academic ability follow-up service is positively necessary.

지미카터의 과학기술 정책과 그 배경

  • Korean Federation of Science and Technology Societies
    • The Science & Technology
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    • v.10 no.3 s.94
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    • pp.16-19
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    • 1977
  • 1946년 그러니까 제2차 세계대전이 끝난 이듬해었다. 미국 메리랜드주의 수도이며 주의회가 위치한 에너폴리스의 해군사관학교를 졸업하게 된 한 젊은 이학사(BACHELOR OF SCIENCE)인 그는 수학, 이학, 공학에 정통한 유망한 사관으로서 승선하게 되었다. 전자공학과 사진담당 사관이었던 그는 "해중에서 전파의 전파"에 관한 논문을 쓴바 있다. 죠지아주 땅콩농장에 돌아가기 일년전 원자력대체수반의 승조사관에 임명되어 수학, 물리를 강의도 했고 원자로의 해체도 훌륭히 수행한바 있다. 미국과학기술계에서는 과학과 기술에 상당한 지식을 갖고 있는 대통령으로서 미국역사상 허벋, 후버이래에 이공계출신 대통령이라느니 Fourier급수로 부터 Bessel함수까지 통달하고 있는 대통령이니 하며 기대를 걸고 있다. 카터씨가 죠지아주지사로 있을때 과학제문을 두고 과학기술고문위원회를 열었으며, 주청은 죠지아대학의 성과를 이용하고 있는가? NASA의 자원위성을 죠지아주 지도제작에 이용할 수 없겠는가? 수질오염방지, 농업재해예방 씨스템 등을 검토했다. 개인적으로도 땅콩밭의 경영자로서 땅콩의 성숙기와 추수시기에 관한 연구가이기도 했다. 카터는 자유주의 개혁자로도 알려지고 있으며 환경보존에도 단호히 임하고 있다.

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A survey on the career awareness of the students of the department of mathematics education located in a regional small and medium-sized city (지방 중소도시 소재 사립 사범대학 수학교육과 학생들의 진로에 대한 인식 조사)

  • Do, Jonghoon;Park, Yun Beom;Park, Hye Sook
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.679-695
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    • 2014
  • In this paper we survey the career awareness, demand, and preparation of the students of the department of mathematics education and provide basic data for establishment of career diversification strategies. For this we examined the followings: (1) department selected time and motivation, (2) satisfaction with the selection and training courses, (3) hope and change for a career after graduation, (4) related jobs and career awareness. As a result, most of the students over the course of the high school and middle school chose a career in mathematics education, the biggest motivation appeared to be due to selection was deemed suitable for individual aptitudes. Due to this reason he/she is satisfied with the selection and training process and the curriculum of mathematics education appeared to think it would be helpful to his/her career. It can be observed that the number of students increased to think of another job, depending on the grade ascent. Mostly due to the difficulty of major study as grade up, high competition and low success rate of teacher employment test, employment reduction in the number of teachers.

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