• School Mathematics
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• v.5 no.1
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• pp.27-42
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• 2003

The current 7th National Mathematics Curriculum had been developed as a learner-centered curriculum and begun to apply to high school since 2002. This paper discusses issues related to the high school mathematics curriculum application into high school. The mathematics curriculum for grades 11 and 12 was developed primarily as a learner-centered one to provide five elective courses according to the needs of students based on their future occupation and attitudes. Discussion starts with the differences of the five elective courses: the three of them have dependent and sequential structure and the two are totally different with regards to their levels of difficulty and the content they span. It is claimed that the frameworks of the 2005 National Ability Test for the College Entrance and the minimal enrollment requirements of several influential colleges' admission policy make the high school mathematics education very rigid, unflexible, and anti-educational. Several suggestions to recover and imp-rove the high school mathematics education and the spirit of the 7th curriculum are presented.

• Communications of Mathematical Education
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• v.31 no.1
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• pp.1-15
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• 2017

The university entrance examination in deeply related to high school education, adaptation and study ability in university. In this point of view, we investigate the scholastic achievement to the Calculus 1,2, linear algebra and differential equation from academic year 2006 to 2016. The above four subjects contain elementary and essential contents to study for science and engineering major in university. We compare and analyse the data of scholastic achievement and system of various university entrance examination, and we discuss and propose the methods of improvements for adaptation to each major field and study ability.

• 전자공학회논문지 IE
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• v.48 no.1
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• pp.36-44
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• 2011

The purpose of this study was to develop the basic design principles for the engineering mathematics teaching model that supported college students to become collaborative problem solvers. For this purpose, the following four design principles were drawn from the steps of systems approach, especially with consideration of needs of engineering students, professors, curriculum and relevant research on mathematical education. As a result, the four design principles for the engineeering mathematics teaching model were drawn as follows: (1) Improve students' basic mathematical learning abilities through repetition and elaborative practice of the basic mathematical concepts and principles, (2) Develop students' problem solving abilities through collaborative projects or learning activities with peers, (3) Facilitate students' reflection and provide teacher's monitoring and prompt feedback during their learning process, and (4) Build up online learning environments that enable students to become self-regulated learners.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.483-506
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• 2009

In this study, as a way to develop students' latent ability of mathematics, we asked the students to write on the ways to develop their potential in mathematics. Each student chose his own topic relating to the development of potential in mathematics. In addition, we distributed questionnaires on the same topic to the students. The contents of questionnaires and the summaries of students' writings are given in appendix 1 and 2. Among the submitted writings, good writings and the suggested ideas in them are introduced for more effective instruction of mathematics in college. During the course of conducting this study, we had a good experience of seeking and finding the ways to develop students' potential in mathematics. Finally, for more rigorous study on this topic, we felt a need for conducting cooperative research with the colleagues.

• Journal of the Korean School Mathematics Society
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• v.18 no.2
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• pp.169-186
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• 2015

According to changes of college admission policies and the first application for 2009 revised mathematics curriculum, we should redefine characterization of mathematics section in 2017 College Scholastic Ability Test(CSAT) and prepare a plan on details of making questions related to it. Specially, we need to reflect the voices of the school site in order to determine the method of making CSAT questions which is consistent with the intent of it and contributes to the normal operation of high school curriculum. In this study, we polled out 312 schools among 2,338 high schools nationwide and math teachers of the schools were been chosen were surveyed. The sampling method used a proportionate stratified sampling by the department of education. Analyzing the results of the survey, We redefined characterizations and roles of mathematics section in 2017 CSAT and suggested the details including questions distribution according to optional object of 2017 CSAT mathematics section.

• East Asian mathematical journal
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• v.30 no.4
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• pp.527-544
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• 2014

The purpose of this thesis is to analyze mathematical errors in descriptive problems of the Mathematics Level Assessment(MLA) which is conducted in P University. We classified mathematical errors, which are easily made in solving the descriptive problems of the MLA, into nine types as misused data, misinterpreted language, logically invalid inference, misunderstood theorem or definition, unmatched solution, technical errors, omission of solving process, ambiguous errors, and unattempted errors. With classifying the errors in nine types, we analyzed the errors of students, who are in intermediate and low level grades, by descriptive problems. On the basis of these analysis results, we suggest plans for improving the implementation of the MLA and the teaching-learning methods about College General Mathematics.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.233-256
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• 2023

This study conducted foundational research to derive ways to use ChatGPT in mathematics education by analyzing ChatGPT's responses to questions from the National Assessment of Educational Achievement (NAEA) and the College Scholastic Ability Test (CSAT). ChatGPT, a generative artificial intelligence model, has gained attention in various fields, and there is a growing demand for its use in education as the number of users rapidly increases. To the best of our knowledge, there are very few reported cases of educational studies utilizing ChatGPT. In this study, we analyzed ChatGPT 3.5 responses to questions from the three-year National Assessment of Educational Achievement and the College Scholastic Ability Test, categorizing them based on the percentage of correct answers, the accuracy of the solution process, and types of errors. The correct answer rates for ChatGPT in the National Assessment of Educational Achievement and the College Scholastic Ability Test questions were 37.1% and 15.97%, respectively. The accuracy of ChatGPT's solution process was calculated as 3.44 for the National Assessment of Educational Achievement and 2.49 for the College Scholastic Ability Test. Errors in solving math problems with ChatGPT were classified into procedural and functional errors. Procedural errors referred to mistakes in connecting expressions to the next step or in calculations, while functional errors were related to how ChatGPT recognized, judged, and outputted text. This analysis suggests that relying solely on the percentage of correct answers should not be the criterion for assessing ChatGPT's mathematical performance, but rather a combination of the accuracy of the solution process and types of errors should be considered.

• School Mathematics
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• v.13 no.1
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• pp.89-105
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• 2011

To provide some suggestions on the setting of mathematics test in the College Scholastic Ability Test(CSAT), this paper analyses the result of mathematics test in the CSAT from 2005 to 2011, on which the 7th national mathematics curriculum has been applied. From the result, four suggestions are drawn out. First, the mathematics test needs to be easier to reduce the burden of test-taker. Accordingly, the number of items and their scores need to be adjusted. Second, the proportion of multiple-choice items has to be reduced whereas that of short-answer items has to be increased to enhance the function of the CSAT as a selection test. Third, the sub-item system needs to be adopted. Fourth, new item-types have to be developed.

• Communications for Statistical Applications and Methods
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• v.17 no.3
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• pp.327-335
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• 2010

Item response theory provides a fixed results about students, regardless of the item difficulty and discrimina-tion and it is also a kind of item analysis methods which provides the same proper competence scores to students in spite of them taking different test repeatedly. In this paper, we researched item difficulty and item discrimina-tion and analyzed items in the national academic aptitude test which were given from 2000 to 2009 in the past 10 years through item response theory, especially, in connection with given items about statistical unit. As a result, we found that about 60 percents of the items were too difficult for high school students to solve, however, item discrimination proved to be great.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.563-585
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• 2010

The major goals of this study are to find the factors that enhance self-directed math learning in college math classes and to provide the students with the opportunities to check and develop their self-directed math learning attitude. For these research goals, we prepared the questionnaires that asked about their learning motivations, basic learning ability, self-discipline strategies, and self-directed learning strategies. Another purpose of the questionnaires was to give them the chances to check and improve their attitude toward those learning strategies, motivation and ability. From the research results, we find that the important factors for self-directed learning are internal & external motivations, concentration ability, and the goal-setting and plan-making abilities. In addition, concentration ability, good habit, stress-control, recognition of math value, and self-directing ability are found to be necessary for the desirable learning environment. On the other hand, we find that the ability to perform note-taking, class preparation and review, time-control, and test-control is required for the selection and practice of self-fitting learning strategies. Finally, we provided our own self-directed math learning model. Our model, containing the necessary factors for self-directed math learning, is the revised and modified one of Knowles(1975)'s 5 stage self-directed learning model that comprises diagnosis of learning desire, setting learning goals, grasping human&material resources, selection and practice of proper learning strategies, and evaluation of learning results.