• East Asian mathematical journal
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• v.32 no.4
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• pp.545-563
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• 2016

The aim of this study was to observe processes and implication to a given program for the 20 gifted children grade 5 by making the number from 1 to 100 with natural numbers 4,4,9 and 9. Revelation of creativity, mathematical tendency of students and meaningful responses were observed by the qualitative records of this game activity and the analysis of result. The major result of a study is as follows: The mathematical creativities of students were revealed and developed by this activity. And the mathematical attitude were changed and developed, so student could actively participate. And students could experience collaborative and social composition learning by presentations and discussion, competition with a permissive atmosphere and open-game rule. It was meaningful that mathematical ideas (negative number, square root, factorial, [x]: the largest integer not greater than x, absolute value, percent, exponent, logarithm etc.) were suggested and motivated by students themselves.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.47-57
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• 1998

This thesis is a research to develop mathematical problems related to every day life, and to apply to mathematical extracurricular activity. The conclusions are as followings; (1) The materials of mathematical extracurricular activity totaling 34 hours' class time were developed and its theaching methods were thought out. (2) Through studying the mathematical problems related to everyday life, we could create a lively atmosphere in the classroom. (3) Through studying the mathematical problems related to everyday life, we could change the learning attitude of students affirmatively and make the students solve the problems for themselves. (4) We could try to build up to the management of mathematical extracurricular activity.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.679-690
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• 1998

I wish to search for educational alternatives which improve students' mathematical creativity. As the first attempt for this, theories of general creativity and characters of mathematical creativity are discussed. And four factors( teacher variables. student variables, teaching and learning variables. environment variables) affecting mathematical creativity are analyzed. It is a educational well-known fact that students should think creatively and solve the problems for themselves. We postulate the fact that students' mathematical creativity can be developed. I think it is a mission and a duty for mathematics educators to develop the students' mathematical creativity fully. Mathematics educators should search for the methods which encourage the students to have mathematical creativity and should develop them.

• Journal for History of Mathematics
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• v.23 no.4
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• pp.17-30
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• 2010

The aim of this paper is to classify mathematical revolutions by discussing the concept of revolution, and to suggest criteria to judge mathematical revolutions. I examine the relation between the types and the criteria of mathematical revolutions, and explore what types of revolutions several instances of changes in mathematical knowledge are.

• East Asian mathematical journal
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• v.36 no.2
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• pp.203-227
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• 2020

This study is observed in this paper that how the mathematical beliefs of elementary pre-service teachers are reflected in planning and implementing actual mathematics classes. The subjects for this study are senior students at the university of education. After examining their mathematical beliefs and analyzing their actual mathematics classes in a teaching practicum, the following conclusions are drawn. First, the mathematical beliefs of elementary pre-service teachers have generally shown in a similar tendency. The beliefs formed by the students' experience and the beliefs established in the course of preparing to become teachers have coexisted. Second, the teachers' belief in learning mathematics and the teaching practices are largely inconsistent. Third, when elementary pre-service teachers plan and implement their mathematic classes, they are influenced by their guidance teachers and students as well as their own mathematical beliefs.

• Korean Journal of Child Studies
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• v.21 no.4
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• pp.227-241
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• 2000

This study investigated the effectiveness of mathematical activities based on picture books for the development of children's problem-solving performance. Subjects were 72 children divided in two groups of 36 each; one group had mathematical activities based on picture books and the other group had of pencil-and-paper tasks. The problem-solving performance was measured in terms of the test by Ward(1993) with a few modification for pretest and posttest. Mathematical activities were performed 12 times over a 6 week period. The data was analyzed by Analysis of Covariance(ANCOVA). The group taught by picture books significantly improved mathematical problem-solving performance.

• Journal for History of Mathematics
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• v.21 no.1
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• pp.157-166
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• 2008

Mathematical communication is an important goal of recent educational reform. The NCTM's Principle and Standards for School Mathematics, consulting an emphasis on mathematical discourse from 1991 Professional Standards for Teaching Mathematics, has a Communication Standard at each grade level. This paper examines Socrates's educational philosophy and the mathematical dialogue in Plato's. Further it examines mathematical dialogues between teachers and students from antiquity through the nineteenth century.

• East Asian mathematical journal
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• v.37 no.4
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• pp.461-480
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• 2021

There have been gradually a few studies on Noticing in the domestic and international area. For the purpose of increasing the concern on teacher noticing and pursuing the affluent studies on the noticing, this study tried to explore and understand the background, the meaning, and the properties of the teacher noticing while summing up the views of the various researchers. As a result, the teacher noticing could be defined as a cognitive process which is focused on mathematical objects, students' mathematical thinking, students' emotions, teaching strategies, classroom environment and interprets them to determine how to react. From this, noticing might be cognitive process which is a combined form of the objects and cognitive behavior, while the objects whom teachers notice covers up the mathematical objects and the teaching objects. Eventually, this study expects to serve as a basis to foster the in-depth understanding of teacher noticing and to derive the follow-up studies.

• Journal of the Korean School Mathematics Society
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• v.20 no.2
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• pp.187-210
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• 2017

The animated discussion about mathematical modeling that had studied consistently in Korea since 1990s has flourished, because mathematical modeling was involved in the teaching-learning method to improve problem solving competency on 2015 reformed mathematics curriculum. In an attempt to re-examine the educational value and necessity of application to school education field, this study was to review the literature of mathematical modeling in mathematical competencies perspective. As a result, mathematical modeling could not only be involved the components of problem solving competency, but also support other competencies; reasoning, creativity-amalgamation, data-processing, communication, and attitude -practice. In this regard, This paper suggested the necessity of the discussion about the position of mathematical modeling in mathematical competencies and the active use of mathematical modeling tasks in mathematics textbook or school classes.

• Journal of the Korean School Mathematics Society
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• v.16 no.2
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• pp.319-335
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• 2013

Chinese mathematical curriculum is divided 4 areas(number and algebra, space and figure, statistics and probability, practice and synthetic application). The purpose of this paper is to analyze the contents of the practice and synthetic application in yanbian elementary textbook. For this, 12-textbook which was published in yeonbeon a publishing company is analyze by topic, mathematical process, area of content and mathematical activity. mathematical process The following results have been drawn from this study. First, contextual backgrounds of practice are restricted in classroom. The contents of synthetic application are limited in connection of mathematical areas. Mathematical problem solving is a main in mathematical process, whereas reasoning activity is a few. Mathematical experience activity is a main in mathematical process, whereas synthetic activity is a few. We can use the suggestions of this paper for development of textbook and the contents of mathematical process.