• Journal of the Korean School Mathematics Society
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• v.14 no.4
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• pp.443-458
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• 2011

There has been a lively discussion on improving Korean students' academic achievement and the imbalance in their recognition of the value of mathematics. In this context, there is a need for a program that enables the majority students who regards mathematics as a subject for the entrance examination to recognize the practicality and historicity of mathematics. Educational books on mathematics in everyday life or the history of mathematics are also expected to serve as an effective tool. In addition, Web 2.0 Map is another means of representing mathematics in everyday life and the history of mathematics in connection with the practical context. The active storytelling process in which mathematics in the practical context in mathematical educational books is represented in Web 2.0 Map is expected to help to understand in depth the practicality and historicity of mathematics. Nevertheless, mathematical educational books and Web 2.0 Map may lead to a considerable variety of outcomes and speeds if carrying out tasks depending on the student's competence and may have practical difficulties in being operated in class. These concerns, however, can be resolved through the creative activity programs adopted in conformance with the 2009 revised curriculum. Therefore, this study intends to develop a program for creating mathematical story maps through mathematical educational books and the Mashup of Web 2.0 Map in accordance with the process of developing activity programs. This study also intends to determine its effectiveness in enabling students to recognize the practical and historical values of mathematics.

• School Mathematics
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• v.12 no.4
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• pp.531-545
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• 2010

This research is focusing on find out the learning method for mathematics underachievers of middle school. The tested method were metacognitive activity through writing. For conducting research, I had selected mathematics underachievers of middle school. After selecting them, I made two group. One group studied using CAS calculator with paper and pencil. And another group studied using paper and pencil only. Both groups exhibited metacognitive learning activities. The analysis of result shows that the group with CAS calculator did better than the group of paper and pencil.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.171-186
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• 2009

$Poincar\acute{e}$ is mathematician and the episodes in his mathematical invention process give suggestions to scholars who have interest in how mathematical invention happens. He emphasizes the value of unconscious activity. Furthermore, $Poincar\acute{e}$ points the complementary relation between unconscious activity and conscious activity. Also, $Poincar\acute{e}$ emphasizes the value of intuition and logic. In general, intuition is tool of invention and gives the clue of mathematical problem solving. But logic gives the certainty. $Poincar\acute{e}$ points the complementary relation between intuition and logic at the same reasons. In spite of the importance of relation between intuition and logic, school mathematics emphasized the logic. So students don't reveal and use the intuitive thinking in mathematical problem solving. So, we have to search the methods to use the complementary relation between intuition and logic in mathematics education.

• School Mathematics
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• v.11 no.4
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• pp.665-683
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• 2009

The purpose of this study is to improve forward mathematics study by analyzing the effects of the teaching and learning process applied situation-based mathematical problem posing activity on problem solving ability and mathematical attitudes. For this purpose, the research questions were established as follows: 1. How the situation-based mathematical problem posing activity(WQA activity) changes the problem solving ability of students? 2. How the situation-based mathematical problem posing activity(WQA activity) changes the mathematical attitudes of students? The results of the study were as follows: (1) There was significant difference between experimental group and comparative group in problem solving ability. This means that situation-based mathematical problem posing activity was generally more effective in improving problem solving ability than general classroom-based instruction. (2) There was not significant difference between experimental group and comparative group in mathematical attitudes. But the experimental group's average scores of mathematical attitudes except mathematical confidence was higher than comparative group's ones. And there was significant difference in the mathematical adaptability. The results obtained in this study suggest that the situation-based mathematical problem posing activity can be used to improve the students' problem solving ability and mathematical attitudes

• School Mathematics
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• v.2 no.2
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• pp.475-487
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• 2000

As a result of carrying out t-test against the learning activity that used the learning materials designed by level, significant disparity was found. Thus, it was found that hte effect of this learning activity became more visible with lapse of time. But the major cause by which there appeared small significant disparity as a result of testing is that the units of experiment were limited and that the period of using the learning materials was not long. In an analysis on the results of interest test, the experimental class also appeared to show the average score that was higher than that of the comparative class by 0.10 after converting a decimal point. The outcome of attitude test was that the experimental class showed a higher average score by 0.11, as a result of converting a decimal point, than that of the comparative class. So, a large number of students showed an improved reaction. But, there seemed some problems of the learning materials or the method of progressing the activity in changing under achievement students or students who avoided studying math. When the effect of the level-based learning activity was investigated, more than 80% of the experimental class’s students showed a positive reaction. Thus, it could be judged that students, who felt some burden at studying math, might be served more largely, not by teacher’s uniform instruction, but by an individual learning using the level-based learning materials that enabled them to do a systematic self-learning for themselves.

• Research in Mathematical Education
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• v.8 no.3
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• pp.215-226
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• 2004

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.

• Journal of the Chungcheong Mathematical Society
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• v.15 no.1
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• pp.87-94
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• 2002

Trot(1999) considered how to calculate the expected area of a random triangle in the unit square $[0,1]{\times}[0,1]$. He used the Mathematica software package for the computational part. In this article, we study various aspects of the probability distribution of a triangle randomly chosen inside the circle of radius r. A simulation activity that can be conducted in statistics and probability classrooms is also considered.

• Research in Mathematical Education
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• v.10 no.3 s.27
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• pp.229-238
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• 2006

During World War II there was a statistical analysis conducted by the Allied analysts to estimate the German war productions, including their tank productions. This article revisits the analysis of the tank productions as a classroom activity format. Various reformed ideas are proposed in order to enhance students' perspectives of the point estimation. Comprehensive simulation works and actual classroom discussions will be provided along with the theoretical investigations.

• School Mathematics
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• v.4 no.4
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• pp.657-675
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• 2002

This paper is to make strides toward an enriched understanding of the difficulties and issues raised by applying the 7th mathematics curriculum to elementary school classrooms. A general overview of the curriculum is presented in line with teaching and learning methods emphasized in the curriculum. Four classroom episodes are presented in brief in order to diagnose the problems in situating the curriculum in elementary mathematics classrooms. These episodes deal with lessons emphasizing activity rather than its associated concepts or principles, overusing multimedia data, pursuing play rather than its associated thinking, and distributing various individual worksheets in the name of differentiated instructional methods. In addition to the episodes, interview data with elementary school teachers also are presented as needed. This paper discusses two aspects of activating the curriculum into elementary mathematics classrooms. One deals with the issues of the curriculum and textbooks themselves, and the other covers those of research trends on mathematics education and teaching practices. This paper finally emphasizes a collaborative working relation among classroom teachers, mathematics educators, and policy makers with their own places and roles.

• Education of Primary School Mathematics
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• v.6 no.1
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• pp.29-40
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• 2002

Fairy-tales give students opportunities to build connections between a problem-solving situation and mathematics as well as to communicate solutions through writing, symbols, and diagrams. Therefore, the purpose of this paper is to introduce how to use fairy-tales in elementary mathematics classroom in order to develope student's mathematical concepts and process in terms of the following areas: ⑴ reconstructing literature ⑵ understanding concepts ⑶ problem posing activity. To be useful, mathematics should be taught in contexts that are meaningful and relevant to learners. Therefore using fairy-tales as a vehicle to teach mathematics gives students a chance to develope mathematics understanding in a natural, meaningful way, and to enhance problem posing and problem solving ability. Further, future study will continue to foster how fairy-tales literatures will enhance children's mathematics knowledge and influence on their mathematics performance.