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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Communications of Mathematical Education
Journal Basic Information
Journal DOI :
Korea Society of Mathematical Education
Editor in Chief :
Sang-Gu Lee, Hye-Jeang Hwang
Volume & Issues
Volume 19, Issue 4 - Nov 2005
Volume 19, Issue 3 - Sep 2005
Volume 19, Issue 2 - Jul 2005
Volume 19, Issue 1 - Jan 2005
Selecting the target year
On the Birth of a Journal on College Mathematics Education
Ree, Sang-Wook ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 571~575
We would like to celebrate the birth of a journal on college mathematics education. We make wishes and hopes on the way of the growth and developments of the journal. We especially emphasize that the journal may provide the streams of knowledges from scholars to students for better accomplishments of college mathematics educations and the development and prosperity of our country, and a storage bank for our own (mathematical) knowledges for the creation of Korea's own mathematical traditions. Best wishes for the journal.
On the Consciousness Structure and Culture Approach on Mathematics
Kye, Young-Hee ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 577~586
In this paper, we introduced that the differences and reasons about oriental and western consciousness structure by borrowing from Dr. Richard E. Nisbett who is a professor of Michigan University of USA and writer of
. And then, we introduced two survey results about likeness, dislikeness and aesthetic sence on mathematics. In their surveys, we researched the differences and attitudes between Korean male students and female students. Furthermore, we present a new educational curriculum
to promote university students' various culture consciousness on mathematics.
College Mathematics Education for Social Science Majors
Kim Sung-Ock ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 587~597
Mathematics education for social science majors at the college level could be a totally different subject from mathematics education for mathematics majors. We discuss goals, curriculum and effective teaching of mathematics for social science majors with a focus on business, management and economics at the college level.
Two Approaches to Introducing Abstract Algebra to Undergraduate Students
Park Hye Sook ; Kim Suh-Ryung ; Kim Wan Soon ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 599~620
There can be two different approaches to introducing Abstract Algebra to undergraduate students: One is to introduce group concept prior to ring concept, and the other is to do the other way around. Although the former is almost conventional, it is worth while to take the latter into consideration in the viewpoint that students are already familiar to rings of integers and polynomials. In this paper, we investigated 16 most commonly used Abstract Algebra undergraduate textbooks and found that 5 of them introduce ring theory prior to group theory while the rest do the other way around. In addition, we interviewed several undergraduate students who already have taken an Abstract Algebra course to look into which approach they prefer. Then we compare pros and cons of two approaches on the basis of the results of the interview and the historico-genetic principle of teaching and learning in Abstract Algebra and suggest that it certainly be one of alternatives to introduce ring theory before group theory in its standpoint.
On the Contents and Curriculum for University geometry course focused on applications
Jeon, Myung-Jin ; Cho, Min-Shik ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 621~631
The purpose of this study is to consider how to restructure the university geometry curriculum and contents in terms of applications to theoretical computer science. We analyzed various topics from computer graphics, CAGD(computer aided geometric design) and computational geometry suitable for geometry students interested in applications. Moreover we discussed about selections of topics for several cases.
A Study on a Step-wise level Educational Model for Calculus
Shim J. D. ; Ha J. H. ; Lee K. H. ; Chun C. B. ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 633~647
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.
Science-Engineering Education Crisis, Industry-University Co-op, Job-Skill-Standard and College Mathematics Education
Chung Chy-Bong ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 649~670
The university mathematics education has been in a crisis during the last 10 years. In recent years, the crisis is rapidly amplified with a science-engineering student resource downsizing. In korea, government and industry have intervent several supporting policies to treat the mathematics-science-engineering crisis in university education. In this article, policies and its contents about human reasource development, industry-university co-ops, national skills standards are presented in context of university mathematics education.
New Curriculum Models for Mathematics Department in Korean College
Lee Choon Ho ; Lee Sang-Gu ; Yoon Suk-Bong ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 671~682
One of the main function of the university is to be the center of education for the future generation. We analyze the changing standard of mathematics curriculums in Korean colleges and introduce new curriculum models in our changing social and educational environment.
On Developing Actuarial Science Program in Korea
Kim, Chang-Ki ; Jun, Heong-Ki ; Hong, Chong-Sun ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 683~698
The volume of insurance business of Korea is now ranked 6th in the world. In spite of the rapid growth of the volume of the Korean insurance market, the growth of quality and technology of Korean insurance business has not reached on the top position. And the role of actuaries in Korea does not come up to the standard of the advanced economies due to the total lack of good actuarial science programs in Korea. In this paper, we consider a few desirable actuarial science programs for both undergraduate and graduate level and show concrete examples of curriculums useful in Korean universities. The curriculums are designed to help students to pass the four exams of Society of Actuaries and Casualty Actuarial Society and to get credits for Validation by Educational Experience (VEE). At the same time our curriculums can cover the contents of Korean actuarial exams. We also consider the actuarial internship programs.
Teaching Diverse Proofs of Means and Inequalities and Its Implications
Kim, Byung-Moo ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 699~713
In this paper, we attempted to find out the meaning of several means and inequalities, their relationships and proposed the effective ways to teach them in college mathematics classes. That is, we introduced 8 proofs of arithmetic-geometric mean equality to explain the fact that there exist diverse ways of proof. The students learned the diverseproof-methods and applied them to other theorems and projects. From this, we found out that the attempt to develop the students' logical thinking ability by encouraging them to find out diverse solutions of a problem could be a very effective education method in college mathematics classes.
A Study on Operations with Fractions Through Analogy
Kim Yong Tae ; Shin Bong Sook ; Choi Dae Uk ; Lee Soon Hee ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 715~731
There are five contexts of division algorithm of fractions such as measurement division, determination of a unit rate, reduction of the quantities in the same measure, division as the inverse of multiplication and analogy with multiplication algorithm of fractions. The division algorithm, however, should be taught by 'dividing by using reciprocals' via 'measurement division' because dividing a fraction by a fraction results in 'multiplying the dividend by the reciprocal of the divisor'. If a fraction is divided by a large fraction, then we can teach the division algorithm of fractions by analogy with 'dividing by using reciprocals'. To achieve the teaching-learning methods above in elementary school, it is essential for children to use the maniplatives. As Piaget has suggested, Cuisenaire color rods is the most efficient maniplative for teaching fractions. The instruction, therefore, of division algorithm of fractions should be focused on 'dividing by using reciprocals' via 'measurement division' using Cuisenaire color rods through analogy if necessary.
An Inquiry-Oriented Approach to Differential Equations: Contributions to Teaching University Mathematics through Teaching Experiment Methodology
Kwon, Oh-Nam ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 733~767
During the past decades, there has been a fundamental change in the objectives and nature of mathematics education, as well as a shift in research paradigms. The changes in mathematics education emphasize learning mathematics from realistic situations, students' invention or construction solution procedures, and interaction with other students of the teacher. This shifted perspective has many similarities with the theoretical . perspective of Realistic Mathematics Education (RME) developed by Freudental. The RME theory focused the guide reinvention through mathematizing and takes into account students' informal solution strategies and interpretation through experientially real context problems. The heart of this reinvention process involves mathematizing activities in problem situations that are experientially real to students. It is important to note that reinvention in a collective, as well as individual activity, in which whole-class discussions centering on conjecture, explanation, and justification play a crucial role. The overall purpose of this study is to examine the developmental research efforts to adpat the instructional design perspective of RME to the teaching and learning of differential equation is collegiate mathematics education. Informed by the instructional design theory of RME and capitalizes on the potential technology to incorporate qualitative and numerical approaches, this study offers as approach for conceptualizing the learning and teaching of differential equation that is different from the traditional approach. Data were collected through participatory observation in a differential equations course at a university through a fall semester in 2003. All class sessions were video recorded and transcribed for later detailed analysis. Interviews were conducted systematically to probe the students' conceptual understanding and problem solving of differential equations. All the interviews were video recorded. In addition, students' works such as exams, journals and worksheets were collected for supplement the analysis of data from class observation and interview. Informed by the instructional design theory of RME, theoretical perspectives on emerging analyses of student thinking, this paper outlines an approach for conceptualizing inquiry-oriented differential equations that is different from traditional approaches and current reform efforts. One way of the wars in which thus approach complements current reform-oriented approaches 10 differential equations centers on a particular principled approach to mathematization. The findings of this research will provide insights into the role of the mathematics teacher, instructional materials, and technology, which will provide mathematics educators and instructional designers with new ways of thinking about their educational practice and new ways to foster students' mathematical justifications and ultimately improvement of educational practice in mathematics classes.
A Research on a Model of BL-PBL Self -Directed Mathematics Lectures at College
Lee Sang-Gu ; Seol Han-Guk ; Han Shin Il ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 769~785
The affirmative feature which web based learning and problem based learning in the self directed learning having on-line and off-line study it amalgamates in connection Blended Learning method and specially in mathematics subject as a service course. We introduce a model of BL lecture of Mathematics and tried to find a new way for the quality improvement of university education.
On a situation and problems of mathematics education in a university
Lee Gyou-Bong ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 787~792
We studied on mathematics courses and their scores that the freshmen of department of applied mathematics in Paichai university, 2005, took in their high schools. We tested their mathematical ability and indicated a situation and problems in mathematics education of a university.
Notes on Effective College Mathematics Education by Counseling Freshman and by Promotion of Application in Engineering Mathematics
Kim, Young-Sik ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 793~803
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.
Korea-USA University mathematics Education Profile-data Comparison in the context of Population, Economy, Science Index
Chung Chy-Bong ; Jung Wan-Soo ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 805~822
In Korea, many local university mathematics faculty knew that the institution faced serious student shortage problems and the restructuring and cut actions for such a mathematics major programs. In general, undergraduate mathematics education in korea is in the crisis. In general, lots of mathematics departments in korea was not prepared for such a severe risk. In this article, university mathematics education and research business are studied in the context of the size of korea-usa population, economy(such as GDP), SCI indices. Korea-usa university mathematics education profile data are presented to compare korea-usa university mathematics education business. Lots of precious data on mathematics education are being helped to prepare for the university mathematics education crisis.
Short Introduction to
Cho Jin-Hwan ;
Communications of Mathematical Education, volume 19, issue 4, 2005, Pages 823~837
] is a typesetting system created by Donald E. Knuth for producing publication-quality scientific books and journals. It is famous for the line breaking algorithm, the formatting of complex mathematical formula, and the powerful macro programming capability. Recently
plays a new role of an automatic typesetting engine. The paper describes
in the framework of typography by comparing with DTP softwares and word processors.