• The Mathematical Education
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• v.44 no.3 s.110
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• pp.397-408
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• 2005

This research developed self-directed teaming program for students who learn mathematics to improve their abilities for learning mathematics. A small-group cooperative teaming model was based on the self-directed loaming program which this research developed. The main target of this program was the second grade students of middle school. The program was consisted with three developing parts. The part 1 of program developing was consisted with analyzing and reconstructing mathematics curriculum, devising small-group cooperative learning program, and structuring teaching and teaming plans. The part 2 included the management of small-group cooperative Loaming and how to use the materials which this research developed. The part 3 provided various cooperative learning opportunities for students to improve their abilities for loaming mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.8 no.1
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• pp.89-108
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• 2004

Elementary mathematics education in the 7th mathematics curricula has been emphasized to foster ‘mathematical power’. For establishing this purpose, we need to provide the opportunities inducing to students' thoughts and to study leaching-learning methods to make structuring for their thinking process. Using to writing activities in students' mathematics learning, we think that we can find out their thinking process and this writing mathematics learning method is effective to promote their communication. Through analysing to six grade mathematics textbooks, we devised to mathematical writing types and teaching/learning models could being utilized in mathematics classes. And we investigated the influence of mathematical writing on the learning ability of students. We have experimented and investigated to after dividing experimental objects into two groups, experimental group and comparative group. We founded out, through these researches for mathematical writing teaming, that the experimental group of the former had obtained greatly better results than the latter in mathematical learning abilities and studying achievements. Based on these result, it is required to have an accumulation of research on teaching-teaming methods by using various types of mathematical writing study.

• The Mathematical Education
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• v.39 no.1
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• pp.11-20
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• 2000

Compared with other subjects, mathematics has great differences in achievement. In hope of solving this problems, most schools the level-movement learning. Although they say it may have some effect because of its homogeneous group, the level groups still have differences in achievement in their students abilities. So, this study aims to present an appropriate tasks for the advanced intermediate and beginner groups and to help self-directed learning by selecting an appropriate tasks for the students' own level. To achieve thiese goals, a great deal of level tasks were developed and given to the students. After lettins them an select appropriate tasks for their own level and perform self-directed teaming, the tasks were measured carefully for their interest attitude and achievement in learning. Consequently, we tried a new method to improve uniformity and to turn teacher-centered learning into student-centered teaming. The following is the conclusion to this study. First self-directed teaming based on the selection of level tasks has meaningful effects on learning achievement in mathematics, especially for the beginner group. Second though the above method did not improve an interest for mathematics, but was very effective in the improvement of learning attitudes.

• Communications of Mathematical Education
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• v.20 no.1 s.25
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• pp.117-145
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• 2006

Mathematically gifted children have creative curiosity about novel tasks deriving from their natural mathematical talents, aptitudes, intellectual abilities and creativities. More effect in nurturing the creative thinking found in brilliant children, letting them approach problem solving in various ways and make strategic attempts is needed. Given this perspective, it is desirable to select open-ended and atypical problems as a task for educational program for gifted children. In this paper, various types of open-ended problems were framed and based on these, teaming activities were adapted into gifted children's class. Then in the problem solving process, the characteristic of bright children's mathematical thinking ability and examples of problem solving strategies were analyzed so that suggestions about classes for bright children utilizing open-ended tasks at elementary schools could be achieved. For this, an open-ended task made of 24 inquiries was structured, the teaching procedure was made of three steps properly transforming Renzulli's Enrichment Triad Model, and 24 periods of classes were progressed according to the teaching plan. One period of class for each subcategories of mathematical thinking ability; ability of intuitional insight, systematizing information, space formation/visualization, mathematical abstraction, mathematical reasoning, and reflective thinking were chosen and analyzed regarding teaching, teaming process and products. Problem solving examples that could be anticipated through teaching and teaming process and products analysis, and creative problem solving examples were suggested, and suggestions about teaching bright children using open-ended tasks were deduced based on the analysis of the characteristic of tasks, role of the teacher, impartiality and probability of approaching through reflecting the classes. Through the case study of a mathematics class for bright children making use of open-ended tasks proved to satisfy the curiosity of the students, and was proved to be effective for providing and forming a habit of various mathematical thinking experiences by establishing atypical mathematical problem solving strategies. This study is meaningful in that it provided mathematically gifted children's problem solving procedures about open-ended problems and it made an attempt at concrete and practical case study about classes fur gifted children while most of studies on education for gifted children in this country focus on the studies on basic theories or quantitative studies.

• School Mathematics
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• v.3 no.2
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• pp.295-324
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• 2001

Until now, There have been few studies to investigate a degree of abilities or interesting about mathematical problem-posing of first and second grades in elementary school. This is due to the fact that this students(1st and 2nd grades) have a limited amount of study time and their minds are not fully developed, and are lacking in their representation of ability to use the national language. This being the case, it is difficult to investigate their Mathematical problem-posing in a practical manner. However, our 7th elementary school Mathematics curriculum emphasizes the teaching and learning of Mathematical problem-posing from a basic level of first and second grade with emphasis on activity in teaming Mathematics. Through this study, having analysed the problems those children posed, I have found out they improved in numbers and correctness of their posed problems. And I too could found out showing to their much interesting and confidence to mathematical problem-posing and could confirmed for the children to admit themselves its merits through analyzing some questions to ask their opinions to it. I expect that this study can help to develop the teaching and learning materials for mathematical problem-posing and also to improve its methods of elementary school mathematics. The next study task is, I think, that it is necessary to accumulate the studies to investigate and analyse the practical learning activities of children for problem-posing contents of mathematics text books.