• The Mathematical Education
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• v.42 no.2
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• pp.203-218
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• 2003

The purpose of this study is to see what the essential characteristics are in teaching probability and statistics among various mathematical fields. we also tried to connect the study of probability and statistics education with what is needed for a science be synthetic to have its own identity as a unique research field. Since we searched for the future direction of the pedagogic study in the probability and statistics we first selected papers on probability and statistics published in (Series A), the Journal of Korea Society of Mathematical Education, and establish the following research questions. What kinds of characteristics can be found when papers on probability and statistics published in (Series A) are classified into low categories; contents of probability and statistics education, research method of the mathematics education, methods of teaming and teaching, and finally measurements and evaluation\ulcorner We classified papers into two kinds. One is related to the educational contents, consisting of the methods of learning and teaching, and of the measurement and evaluation. The other is reined to the methods of research, which is not a part of the educational curriculum but is essential for establishing the identity of mathematics education. According to the periods, papers on the curricular contents in 1960s were influenced by the New Mathematics, and papers on the curricular contents in 1980s were influenced by 'back to basic'. In 1990s, papers on methods of learning and teaching, and measurement md evaluation were increasing in number. Besides, (series A) from the Journal of Korea Society of Mathematical Education covers contents, methods of Loaming and teaching, and measurement and evaluation. And when I examined the papers on the contents of textbook of a junior high school related to the probability and statistics education and on methods of learning and teaching, 1 found that those papers occupy 1.84% in . When it comes to the methods of loaming and teaching, most of studies in (series A) are about application of concrete implement like experiment and practical application of computer programs, Through this study, I found that over-all and more active researches on probability and statistics are required and that the studies about methods of loaming and teaching must be made in diverse directions. It is needed that how students recognize probability and statistics, connection, communication and representation in probability and statistics context, too. (series A) does not have papers on methods of study. Mathematics pedagogy is a mixture of various studies - mathematical psychology, mathematical philosophy, the history of mathematics and Mathematics. So If there doesn't exist a proper method of study adequate in the situation for the mathematics education the issue of mathematics pedagogy might be taken its own place by that of other studies'. We must search for the unique method of study fur mathematics education so that mathematics pedagogy has its own identity as a study. The study concerning this aspect is needed.

• Journal of the Korean School Mathematics Society
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• v.13 no.2
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• pp.185-203
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• 2010

The level of mathematics study of students may vary depending on the area or contents of school mathematics. The use of Integrated evaluation frame is beneficial for evaluating and utilizing the study situation of mathematics study. In this article, I formulated evaluation table for evaluation by type and by question based on the contents of 'equation of the first degree' and examined mathematics teaching through integrated evaluation based on the two evaluations. It was concluded from this study that the evaluation table I formulated was beneficial for individual mathematic teaching by providing information about the study situation of each student.

• Journal of the Korean School Mathematics Society
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• v.11 no.4
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• pp.655-676
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• 2008

This paper analyzed contents related to statistics in the 7th elementary mathematics curriculum in conjunction with main changes in the recent revised curriculum. This paper then provided detailed analyses of textbooks and workbooks in terms of main contents, instructional methods of graphs, and comprehension of graphs required to students in order to look closely at how such instructional materials would put the vision of the curriculum into action. It is expected that the issues and suggestions stemming from this analysis are informative in constructing new textbooks and workbooks.

• The Mathematical Education
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• v.37 no.1
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• pp.35-54
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• 1998

Half century has passed since Korean peninsula was divided into South and North Korea. Now a days, there are many differences of politics, economy, culture and education between South and North Korea. Especially mathematics education in which I am interested has a lot of changes and differences. This is proved true by defects' proof. For those reasons, I compared South Korea's education ideology, goal and system, and goals of mathematics education with North Korea's. I compared geometric(1-4 years, published by Pyong-yang Educational Book Publication Co. 1991) of mathematics texts(1-6 years) which are used in the secondary school with mathematics text of South Korea in contents and organization of them. As a result of this comparison, education ideology and goal are distinctly different from those of South Korea because of the difference of pursuing humanity. In North Korea, the curriculum is very strict without autonomy. There are 1283 mathematics classes which are occupied 19% for six years during the secondary school. The contents are very similar, but there is a little difference in the definition of a term. The problems which praise Kim Il-sung and his son and reveal loyalty to them were found, and there were a lot of problems in order to promote hostile feeling against U.S.A and South Korea, too. In conclusion, mathematics education of Korean peninsula should be reunified in the fields of the terms and contents at first.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.1
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• pp.17-34
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• 2016

The purpose of this study was to analyze the contents on statistics in elementary mathematics textbook according to 2009 school curriculum. And we analyzed the elementary mathematics textbook in the light of data collection, graph understanding level suggested by Cursio. Specially, we analyzed the contents within the framework of evaluation norm suggested in 2015 school curriculum. We expect that this study will be a fundamental reference for the development of textbook according to 2015 school curriculum.

• The Mathematical Education
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• v.54 no.3
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• pp.283-298
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• 2015

This research is the case study of collaborative mentoring in the professional development of multi-tiered mathematics teacher community. We observed the procedures of mentoring, and contents of mentoring in PD program. For this purpose, we implemented PD program with participant unit composed of 3 or 4 teachers in the same school and total 25 teachers from 4 elementary schools and 4 high schools. Also there were 1 mentor and 1 sub-mentor to support each school. Observed mentoring processes were all recorded and the participants not only were interviewed several times but also wrote reflection notes after meetings. While mentoring PD program was implemented, mentor and mentee had joint responsibility about lessons implemented by mentee. Furthermore It showed possibility of change of teacher learning culture, learning culture of community. It means that teacher would improve their professionalism more effectively within teacher community instead of individual. 4 reflection contents was founded in collaborative mentring; 1)purpose of mathematics education, 2)motivation and connection between previous lecture and present lecture 3)lack of mathematical contents in lesson 4)discourse between teacher and students.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.199-216
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• 1998

One of the main features of the 7th revised national curriculum is the implementation of a 'Differentiated Curriculum'. Differentiated Curriculum is often interpreted as meaning the same as 'tracking' or 'ability grouping' in western countries. In the 7th revised curriculum, mathematics is organized and implemented by 'Level-Based Differentiated Curriculum'. To develop mathematics textbooks and teaching-and-learning materials for Differentiated Curriculum, the ideas of 'Enriched and Supplemental Differentiated Curriculum'need to be applied, that is, to provide advanced contents for fast learners, and plain contents for slow learners. Level Based Differentiated Curriculum could be implemented by ability grouping either between classes or within classes. According to these two exemplary models, the implementation models for supplemental course and enriched course are determined. The contents for supplemental course are comprised of minimal essential elements selected from the standard course at a decreased level of complexity and abstraction. The contents of enriched courses are focused on various applications of mathematical knowledge in the real world. Special remedy course will be offered to extremely underachieved students, The principles of developing teaching-and-learning material for special remedy course were obtained from the histo-genetic principle, progressive mathematizing principle, and constructivism.

• School Mathematics
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• v.5 no.1
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• pp.43-58
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• 2003

This study intends to compare the structure of contents and the way of developing concepts in mathematics textbooks of south and those of north Korea. After thorough investigations of the textbooks from south and north Korea, the following three characteristics were identified. First, the mathematics textbooks of south Korea tends to spread out contents across several grades, while those of north Korea have a tendency of centralization in terms of locating contents Second, in the textbooks of South Korea, mathematics concepts are permeated through real world situations, and students gradually acquire those concepts mostly through activities. This is different from the approach of the north Korean textbooks in which various problems play a key role in explaining concepts. Third, the main strategy of introducing contents in the textbooks of south and that of north Korea corresponds to 'guidance' and 'explanation' respectively. Exploratory questions leading to the concepts are more emphasized in the textbooks of south Korea, on the other hand, meaningful explanations play an important role in the textbooks of north Korea.

• Journal of the Korean School Mathematics Society
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• v.20 no.2
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• pp.77-89
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• 2017

Although it is not necessary to have much mathematical knowledge in Major Courses of Animal Resources curriculums in agricultural high school, the function of mathematics class has a much effect on Major Courses. Therefore, we extracted the mathematics contents included in Major Courses of Animal Resources curriculums in agricultural high school, and also evaluated students' understanding according to the description method in textbooks of Major Courses. Furthermore, we analyzed students' preference about the description method in textbooks related to the Major Courses. As a result, it turns out that the level of mathematics contents of Animal Resources major curriculums does not break bounds of middle school level. Furthermore, many students are not able to solve the middle school level of problems. It is also shown that the most preferred description method in textbooks of Animal Resources major curriculums is the sentence-equation mixed type. In this study, we propose to reconstruct the mathematics contents with basic knowledge needed to complete the Major Courses in order that students can complete them more easily, and furthermore, to choose the description method in textbooks of Major Courses as sentence-equation mixed type and detailed explanation about terms should be included into the bargain.

• The Mathematical Education
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• v.53 no.1
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• pp.41-55
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• 2014

In recent years, there has been increasing interest in the pedagogical importance of counter-examples that contradict statements about mathematics education research and the curriculum revision process for high school mathematics courses. Using a literature research method, this study analyzed views about counter-examples according to a method of approach to statements and the classification of counter-examples and their criteria. The study also described the learnability of the content of counter-examples presented in Korean secondary school mathematics textbooks. The results showed that generating many counter-examples enables learners to understand mathematical concepts exactly, construct links between mathematical contents, and have flexible thoughts about mathematical objects. Considering the learnability of counter-examples, the contents of counter-examples in school mathematics textbooks are needed for mathematics teachers and students to generate numerous counter-examples and verify the justification of generating counter-examples in various manners.