• Communications of Mathematical Education
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• v.22 no.1
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• pp.53-63
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• 2008

In this paper we study a new proof method of equalities and inequalities using moment of inertia. We analyze proof method using moment of inertia, and describe how to prove equalities and inequalities using moment of inertia.

• Education of Primary School Mathematics
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• v.13 no.1
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• pp.37-48
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• 2010

In this paper we analyze a concept 'didactical unit', and some concrete methods of expanding didactical unit studied by P.M.Erdniev. Erdniev studied the concept for a long time, wrote mathematics textbooks from 1st grade to 9th grade. In these textbooks he tried to embody his ideas related with expanded didactical unit. We analyze Erdniev's mathematics textbook of 3rd grade.

• Communications of Mathematical Education
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• v.22 no.4
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• pp.417-444
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• 2008

Many research papers on the college students' functional concept show they have poor understanding on this topic. To compare the results with that of Korean students, four interrelated topics are chosen: How do they understand the concept of function?; what are their misconceptions including epistemological obstacles?; How do the function concepts develop and are acquired? For this a survey has been conducted to 95 engineering students just before they start Calculus course. We have done research on other major areas including psychology, economics and statistics to see how function is defined in these areas. Function definitions from US math text books are also introduced. Based on the these and the survey, some suggestions are made on the new curriculum which treat function as a correspondence relation. Vertical line test should be added to the Algebra II/Pre calculus course to check the univalent property.

• Education of Primary School Mathematics
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• v.18 no.3
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• pp.203-216
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• 2015

This study analyzed changes of representations which had come up in the problem-solving process of math-gifted 6th grade students that ACODESA had been applied. The class was designed on a ACODESA procedure that enhancing the use of varied representations, and conducted for 40minutes, 4 times over the period. The recorded videos and interviews with the students were transcribed for analysing data. According to the result of the analysis, which adopted Despina's using type of representation, there appeared types of 'adding', 'elaborating', and 'reducing'. This study found that there is need for a class design that can make personal representations into that of public through small group discussions and confirmation in the problem-solving process.

• Journal of the Korea Convergence Society
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• v.13 no.4
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• pp.39-44
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• 2022

Mathematics franchise education companies are developing various online learning systems to provide on-off integrated education to learners. Most online learning systems deliver one-way lecture content to learners and perform quantitative problem-solving learning for learning results. However, each learner has different academic achievement competencies, and it is impossible to determine exactly where the level of understanding fell when solving a math method. and based on this, establish an online learning system to discover the weak points of learners and propose an effective learner management method. Through the developed learning method and system, it is expected to cultivate balanced problem-solving ability for learners and provide differentiated brand image and counseling service to franchise companies.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2010.05a
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• pp.401-404
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• 2010

Researches on prodigies and education for those have recently been progressing in many fields. Education for the gifted, which was basically on Math and Science on the start, now includes Intelligence, Invention, Cultural Sciences, Art, and so on. With the progression towards extremely developed information society, interests in and importance on the courses for the talented get more and more focused. The problem is, however, choosing the gifted and educating them is not an easy matter, since the history of Intelligence Technology is relatively short and it is hard to identify prodigies and categorize what kinds of courses they need. Also, from 2010 "Science Education Institute for the Gifted" freshmen draft, paper-based admission test has been discarded and teacher-recommendation through long-term observation introduced. Therefore needs have been increasing for quality selection methods including observation records, recommendation letters, and portfolios. Reformation on teaching and creative selection methods has been accentuated because of lack of academic base for selecting candidates for education for the gifted. Because of all those mentioned above, reliances for the selection processes during the last three years and the one in 2010, observation records, recommendations and portfolios included, have been analyzed and evaluated. Several factors which can be used instead of paper-based tests were coordinated. Based on it, it was highly possible and has been successful to draft all the applicants in cognitive, sentimental, and creative fields.

• Communications of Mathematical Education
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• v.32 no.1
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• pp.37-57
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• 2018

In the early days, the use of concept maps in mathematics education focused on how to represent mathematical ideas in the concept map. In recent years, however, concept maps have proved beneficial for improving problem solving ability. Conceptual diagrams can be used for collaboration among students, tools for exploring problems, tools for introducing problem structures, tools for developing and systematizing knowledge systems. In this study, we focused on the structure analysis of mathematical problems using Concept Map based on the analysis of previous research. In addition, we have devised a method of using concept maps for problem analysis and a method of analysis of systematic mathematical problem structure. The method developed in this study was found to have significant value by applying to the university scholastic ability test.

• Communications of Mathematical Education
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• v.26 no.3
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• pp.301-316
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• 2012

Ball, Thames & Phelps(2008) introduced the idea of Mathematical Knowledge for Teaching(MKT) teacher. Specialized Content Knowledge(SCK) is one of six categories in MKT. SCK is a knowledge base, useful especially for math teachers to analyze errors, evaluate alternative ideas, give mathematical explanations and use mathematical representation. The purpose of this study is to analyze the elementary teacher's SCK. 29 six graders made word problems with respect to division fraction $9/10{\div}2/5$. These word problems were classified four sentence types based on Sinicrope, Mick & Kolb(2002) and then representative four sentence types were given to 10 teachers who have taught six graders. Data analysis was conducted through the teachers' evaluation of the answers(word problems) and revision of students' mathematical errors. This study showed how to know meanings of fraction division for effective teaching. Moreover, it suggested several implications to develop SCK for teaching and learning.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.417-438
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• 2022

The purpose of this study is to suggest implications for mathematics teaching and learning when using AI-based educational platforms that support personalized mathematics learning. To this end, we selected five platforms(Knock-knock! Math Expedition, knowre, Khan Academy, MATHia, CENTURY) and analyzed how the AI-based educational platforms for mathematics reflect the three elements(PLP, PLN, PLE) to support personalized learning. The results of this study showed that although the characteristics of PLP, PLN, and PLE implemented on each platform varied, they were designed to form PLEs that allow learners to make their autonomous decisions about learning based on PLP and PLN. The significance of this study can be found in that it has improved the understanding and practicability of personalized mathematics learning with the AI-based educational platforms.

• Journal of The Korean Association of Information Education
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• v.20 no.3
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• pp.283-292
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• 2016

Based on revised 2015 curriculum, diversified SW education methods for elementary school students are researched, developed and applied. However, as most of SW education is based on English text, its coding process may be difficult for low graders of elementary school who are not familiar with English and Math. Under this situation, Kodu game lab based 'icon card board' by which coding could be learnt with ease through game and icon was developed and story activity, coding activity and collaboration activity (SCC) strategy based 17th session SW curriculum was applied and verified. As a result of research, in terms of satisfaction of students for SW class, students more than 86% recognized such class positively and a significant effect was obtained from students' interest level and learning model for coding.