• Journal of applied mathematics & informatics
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• v.25 no.1_2
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• pp.425-434
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• 2007

We iteratively generate a sequence of measurable mappings and study necessary conditions for its convergence to a random fixed point of random nonexpansive operator. A random fixed point theorem for random nonexpansive operator, relaxing the convexity condition on the underlying space, is also proved. As an application, we obtained random fixed point theorems for Caristi type random operators.

• School Mathematics
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• v.5 no.4
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• pp.555-572
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• 2003

In this study we analyze critically the educational studies on the history of mathematics, and the results of the questionnaires to the mathematics teachers and mathematics teacher educators and interviews with them in order to highlight the problems which ought to be settled for more efficient using the history of mathematics in the mathematics classes. We ought to deepen the understanding of the meaning of mathematical concepts and its essential viewpoints through the historical development of mathematics, going beyond the interest and motivation of learning mathematics. In this respect there are insufficient sides in the results of the educational studies in the history of mathematics and in the recognition of the mathematics teachers about using history of mathematics. And the teachings of the history of mathematics in the mathematics teachers education courses are not sufficient in that they just survey the history of mathematics, and it is the very important task to develop the historic-genetic materials in the school mathematics and study the historic-genetic approach to the mathematics texts.

• Korean Journal of Child Studies
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• v.22 no.4
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• pp.225-241
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• 2001

This study examines the effect that mathematics teaching efficacy has on teacher's mathematics education practices. Data was obtained from 220 kindergarten teachers who responded to the questionnaire, the mathematics teaching efficacy belief instrument (developed by Enochs). Among these 220 teachers, upper and lower 5 % of the teachers on mathematics teaching efficacy belief were chosen to identify the influence of mathematics teaching efficacy on mathematics activity style, teaching strategy, and teacher-child interaction. The results indicated that teacher's interest in math, previous participation in mathematics teaching method course mainly influenced mathematics teaching self-efficacy. Teachers with high mathematics teaching efficacy belief preferred providing mathematical learning activity than providing other learning areas. They employed effective mathematics teaching strategy such as high and medium cognitive distancing strategy and established positive teacher-child relationship. Implications for teacher education and professional development activities were discussed.

• Journal of Educational Research in Mathematics
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• v.12 no.4
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• pp.523-542
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• 2002

The matter of understanding mathematical concepts in learning mathematics is one of the most important issues in mathematics education. There have been so many studies about it but the more practical study has been asked. When we Think using intuitional models such as examples, figures of speech, situations and activities, it is supposed that the major elements of cognitive mechanism are prototypes, analogies, metaphors and metonymies. In this paper, we tried to examine Rosch's prototype theory, the studies about analogies in congnitive psychology, Lakoff and Johnson's metaphor theory from the viewpoint of teaching mathematics, and then tried to analyze examples, analogies, analogical transfers, metaphorical expressions, metonymies in middle school mathematics text books used in Korea now.

• Communications of Mathematical Education
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• v.22 no.2
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• pp.187-209
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• 2008

In this paper we analyze various russian studies related with differentiated mathematics education. Especially we work on the studies published in 1980-1995 years. As a result, we find that many studies are carried out with various view points in different directions, draw out essential variables, embodiment methods of differentiated mathematics education in Russia.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.16 no.4
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• pp.257-257
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• 2012

• Communications of Mathematical Education
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• v.23 no.3
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• pp.683-705
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• 2009

In this study we classify and analyze 265 papers which had been published in the Journal Series A in Korean Society of Mathematics Education from year 2000 to year 2008. We have also studied all the papers in the Journal Series A in Korean Society of Mathematics Education last 46 years based on Professor Lee, Gang-sup's paper 'A Classification and Analysis of the Articles in -From issue 1 to issue 99-'.

• Honam Mathematical Journal
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• v.19 no.1
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• pp.53-59
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• 1997

• Journal of Educational Research in Mathematics
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• v.9 no.1
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• pp.31-49
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• 1999

In recent years assessment has attracted increased attention from the international mathematics education community including this Korean community also. There could be numerous reasons for this phenomena. During the last couple of decades the field of mathematics education has developed considerably in the area of goals, theories, and practices. Whereas these developments have not been matched by parallel development in assessment. Now the functions, roles, and effects of assessment in mathematics education should no longer be neglected, rather they should become objects of investigation and examination in the study of mathematics education. The purpose of this study is to explore selected international cases of assessment in mathematics education mainly depended on two studies resulting from ICMI Study Conference on Assessment in Mathematics Education and Its Effects; and then to draw out their suggestions needed for our study of assessments in mathematics education.

• Research in Mathematical Education
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• v.26 no.1
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• pp.31-38
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• 2023

Mathematics educators have emphasized the importance of language use in mathematics education. However, previous studies have predominantly focused on the spoken language used in mathematics classrooms, which provides limited information on the written language used by mathematics teachers. The written language reflects the characteristics of the teacher community and social, cultural, and political contexts. Moreover, the written language affects teachers' instructional practices and their students' mathematics learning experiences. Therefore, this study aims to review a study conducted by Lee and Kim (2022) investigating changes in mathematics teachers' pedagogical lexicons.