• Communications of Mathematical Education
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• v.37 no.2
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• pp.199-212
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• 2023

The purpose of this study is to find out whether there is a difference in achievement between blocked practice and interleaved practice according to the difference in domain and type of learning content in mathematics subject, and through this result, it is to confirm whether the effect of interleaved practice in mathematics learning is due to the 'Discriminative-contrast Hypothesis' or the 'Distributed-practice Hypothesis'. Although interleaved practice is more effective than blocked practice, previous studies have not shown consistent results regarding the cause. Therefore, in this study, 103 first-year middle school students were randomly assigned to blocked practice, interleaved practice, remote blocked practice, and remote interleaved practice groups had learning activities over 4 times. The results reveals that the effect of interleaved practice appeared in similar types in the same domain, but the effect of interleaved practice did not appear in different types in different domain. In addition, through this result, it was confirmed that the effect of interleaved practice was due to the 'Discriminative-contrast hypothesis' rather than the 'Distributed-practice hypothesis'. Further research topics were suggested after the issues on the research method and the findings were discussed.

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.437-453
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• 2007

In this thesis, look around about problems of the present mathematics education, and then it devised the alternative plan to improvement of educational spot that mathematics instruction which considers an individual differences it applied the portfolio. To minimize the level deepening of knowledge, we choose the instruction which classified by level in the classroom. Above all things, we lay emphasis on searching the method to student for oneself can feedback about studying contents. We also carry out this method to students in Sang Dong middle school from 2002 to 2005. Therefore, we develop the instruction it applied the portfolio, to effectual studying participation of the students. Go through this process, we settle down the instruction which classified by level it applied the portfolio in the classroom at 2005 and produce a result that the instruction have an positive effect on the students' cognitive and sentimental filed.

• Journal for History of Mathematics
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• v.19 no.1
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• pp.79-90
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• 2006

The purpose of this paper is to derive the ratios of trigonometric special angles from Euclid's by constructing regular pentagon and decagon. The intention of this paper is started from recognizing that teaching of the special angles in secondary math classroom excessively depends on algebraic approaches rather geometric approaches which are the origin of the trigonometric ratios. In this paper the method of constructing regular pentagon and decagon is reviewed and the geometric relationship between this construction and trigonometric special angles is derived. Through such geometric approach the meaning of trigonometric special angles is analyzed from a geometric perspective and pedagogical ideas of teaching these trigonometric ratios is suggested using history of mathematics.

• Journal for History of Mathematics
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• v.22 no.1
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• pp.1-24
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• 2009

In this paper we have inferred the influence of Zeno on the construction of the potential infinite of Aristotle based on arguments of Zeno's paradoxes. When we examine the potential infinite of Aristotle as the basis of the ancient Greek mathematics, we can see that they did not permit the concept of the actual infinite necessary for calculus. The reason Why they recognized the potential infinite, denying the actual infinite as seen in Aristotle's physics could be found in their attempt to escape the illogicality shown in Zeno's arguments. Accordingly, this paper could provided one of reasons why the ancient Greeks had used uneasy exhaustion's method instead of developing the quadrature involving the limit concept.

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.273-286
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• 2005

We teach students to explore geometric figures by its properties and establish relationships between some basic figures. The concept of parallel line play very im-portant roles in such geometry learning process. In this study, 1 investigate the con-cept of parallel line we teaching in elementary school. Students have wrong concept images for parallel line, which is the result of the elementary school mathematics text books, where only typical cases for parallel line Is presented and there is no method to find if two lines is parallel or not. Therefore, we should teach explicitly students to find if two lines is parallel or not. The depth study on it is needed to develope students' geometric thought level.

• Journal for History of Mathematics
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• v.22 no.4
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• pp.97-114
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• 2009

Whitehead is a greatest mathematical philosopher who expanded mathematical concepts and method in philosophy. In view of Whitehead that he emphasizeson metaphysical perspective, mathematical truth and empirical connection of reality, it explicates that it tends to empiricism and rationalism of mathematical philosophy. In this paper, we try to research his unique perspective of mathematical philosophy. His perspective on organic philosophy is combination of empiricism trend and rationalism trend of mathematical philosophy.

• School Mathematics
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• v.11 no.4
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• pp.707-722
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• 2009

Various theories of mathematics education which have been considered by many European researchers particularly, in France, recently are introduced. The Anthropological Theory of the didactic discussed by Chevallard will be briefly introduced. Then the praxeology as Anthropological model according to Chevallard's theory will be discussed. The necessity of Anthropological Theory, its background of development through transition process of didactic, and its basic elements will be discussed further. Additionally, teaching limit of sequences in high school mathematics will be suggested according to the theory.

• Journal of the Korean Society for Library and Information Science
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• v.26
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• pp.53-74
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• 1994

Creative thinking in education is a common assumption to be accomplish in this information age. Information education can contribute to build the ability to think creatively. The Author explored how information education conduces the creative thinking ability that is necessary to the development of independent and competent study for students themselves. The writer also expressed the integrated education makes students think synthetically and synthetic educational experience derives creative thinking. She based her arguments upon the theory of the psychology of memory and the Piaget's cognitive structure. To increase the effects of information education, it is necessary to integrate the curriculums and learning method of the information education and those of other areas of learning, i,e., languages, literatures, social sciences, sciences, mathematics, etc. Here, author asserted that the teaching of information skill within classroom curriculums for all subject areas can make the integrated effects on various classroom curriculums. On the basis of the findings of this study, the author recommended that every school needs to prepare enough books and other media for the students to drill information skill. Consequently, to build creative thinking ability for He students, librarians, classroom teachers and school principals who have influence on the information education, have to cooperate to initiate integrated information education for the student.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.117-136
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• 2012

The goal of this study is to investigate a didactic transposition method of text books and high school students' understanding for the Normal Distribution. To accomplish this goal, framework descriptors were developed to analyse the didactic transposition method and interpret the students' understanding based on the Historico-Genetic process of the Normal Distribution, the meaning of the Normal Distribution as a scholarly knowledge and the results of previous studies on students' understanding for the Normal Distribution. This study presented several recommendations for instruction of the Normal Distribution according to the results of analysing the didactic transposition method and interpreting the students' understanding in terms of the developed framework.

• Journal of the Korean Data and Information Science Society
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• v.25 no.6
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• pp.1467-1474
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• 2014

In this paper, we consider the two computer intensive methods for extended Euclidean algdrithm. Two methods we propose are C-programming based approach and Microsoft excel based method, respectively. Thses methods are applied to the derivation of greatest commnon devisor, multiplicative inverse for modular operation and the solution of diophantine equation. Concrete investigation for extended Euclidean algorithm with the computer intensive process is given. For the application of extended Euclidean algorithm, we consider the RSA encrytion method which is still popular recently.