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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Research in Mathematical Education
Journal Basic Information
Journal DOI :
Korea Society of Mathematical Education
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Volume & Issues
Volume 8, Issue 4 - Dec 2004
Volume 8, Issue 3 - Sep 2004
Volume 8, Issue 2 - Jun 2004
Volume 8, Issue 1 - Mar 2004
Selecting the target year
All or Nothing: Problem Solving High Achievers in Mathematics
Marja, van Den Heuvel-Panhuizen ; Conny, Bodin-Baarends ;
Research in Mathematical Education, volume 8, issue 3, 2004, Pages 115~121
This article describes the first results gained from a problem solving test that was administered to grade 4 students in the Netherlands. The students involved are all high achievers in mathematics. The analysis of the student responses gives cause for concern. The often-heard belief that teachers do not need to worry about the better students is clearly in need of revision. It turned out that when high achievers in mathematics are challenged to take on non-typical problems, their abilities are more limited than expected. The study revealed that the students wrote down hardly anything on their scrap paper to solve certain problems. Also it was found that they were not very persistent in their looking for a solution. In this paper we illustrate these first findings by discussing the results of one of the test problems.
The 'Two Basics' Mathematics Teaching Approach and the Open Ended Problem Solving in China
Zhang, Dianzhou ; Dai, Zaiping ;
Research in Mathematical Education, volume 8, issue 3, 2004, Pages 123~144
There is a tradition of advocating the 'two basics' (basic knowledge and basic skills) in Chinese mathematics education. The direct consequence is that Chinese students are able to produce excellent performance in the international mathematics examinations and outstanding results in the international mathematics competitions. In this article, we will present why and how Chinese teachers teach the 'two basics,' and how combine the pupil's creativity with their 'two basics.' Open ended problem solving is a way to meet the goal. The following topics will be concerned: Culture background; the speed of computation; 'make perfect' ; Efficiency in classroom; Balance between 'two basics' and personal development. In Particular, Chinese mathematics educators pay more attentions to the link between open ended problem solving and the 'two basics' principal.
Development of Creativity through Mathematical Applications
Donaldson, John D. ;
Research in Mathematical Education, volume 8, issue 3, 2004, Pages 145~155
Mathematics, by its nature, is a creative activity. Creativity can be developed either through considering its intrinsic beauty or by examining the role that it plays in applications to real world problems. Many of the great mathematicians have been vitally interested in applications and gained inspiration in developing new mathematics from the mathematical descriptions of physical phenomena. In this paper we will examine the processes of applying mathematics by looking at how mathematical models are formed and used. Applications from sport, the environment and populations are used as illustrations.
Early Mathematical Giftedness and its Social Context: The Cases of Imperial China and Soviet Russia
Freiman, Viktor ; Volkov, Alexei ;
Research in Mathematical Education, volume 8, issue 3, 2004, Pages 157~173
The paper discusses the phenomenon of mathematical giftedness, especially manifested at early stages of life of future outstanding mathematicians, taken in its socio-cultural context. The authors suggest that the images of mathematical giftedness are formed differently in various cultural contexts and thus can imply different settings of the educational institutions that can accordingly ignore, encourage, or restrain the students considered gifted. The paper focuses on the cases of traditional mathematics in several Asian countries (China, Vietnam, and Japan) and of modem mathematics in Soviet Union/Russia in order to provide examples of different patterns of forming the image of mathematical giftedness and of the corresponding educational approaches.
An Interdisciplinary Revolving Door Enrichment Model: Chances and Challenges of Involving pre-service Mathematics Teachers
Halverscheid, Stefan ;
Research in Mathematical Education, volume 8, issue 3, 2004, Pages 175~182
The design of learning environments which encourage students to work in a creative manner on mathematical problems is a creative process in itself. The concept of the Saturday University program is described in which pre-service teachers are guided at teaching students in extra-curriculum activities on interdisciplinary topics. In the process of the didactical reconstruction of mathematical problems, the pre-service teachers go through the stages of a revolving door model y.
Difference between Gifted and Regular Students in Mathematical Creativity and Mathematical Self-Efficacy
Seo, Jong Jin ; Hwang, Dong Jou ;
Research in Mathematical Education, volume 8, issue 3, 2004, Pages 183~202
The former study results demonstrate that differences between people of creativity and non-creativity lie in differences of the self-efficacies rather than those of cognitive aspects and a man of higher self-efficacy has a tendency to set up a higher goal of achievement and higher self-efficacy influences his or her achievement results as well (Zimmerman & Bandura 1994). Using the method of mathematical creative responses of open-ended approach (Lee, Hwang & Seo 2003), difference of mathematical self-efficacies has been surveyed in the study. Results of the survey showed that some students of a high mathematical self-efficacy even had bad marks in the originality or creativity but, in some cases, some students of a low mathematical self-efficacy rather had good marks in the fluency. Therefore, the response results mathematical creativity ability may be a special ability and not just a combination of self-efficacy ability. The fluency of the mathematical creative ability may be a combination of mathematical motivation ability that have been surveyed in the study suggest that not only cognitive components but also social and emotional components should be included in a development process of new creative method for teaching and learning mathematics.
An Enrichment Program for the Mathematically Gifted Students in First Grade
Lee, Kang-Sup ; Hwang, Dong-Jou ;
Research in Mathematical Education, volume 8, issue 3, 2004, Pages 203~213
We developed an enrichment program material for the mathematically gifted students in the first grade. The contents were selected and organized based on creative competency improving, increasing of interest, inquiry various activity, interdisciplinary approaches, and the enrichment contents from modern mathematics.
Activity of a Gifted Student Who Found Linear Algebraic Solution of Blackout Puzzle
Lee, Sang-Gu ; Park, Jong-Bin ; Yang, Jeong-Mo ;
Research in Mathematical Education, volume 8, issue 3, 2004, Pages 215~226
The purpose of this paper is to introduce an activity of student who found purely linear algebraic solution of the Blackout puzzle. It shows how we can help and work with gifted students. It deals with algorithm, mathematical modeling, optimal solution and software.