• Communications of Mathematical Education
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• v.23 no.3
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• pp.823-848
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• 2009

In this paper, we try to find improved solutions for problems with general mathematics education courses. We suggest effective management strategies and teaching-learning methods by level-based classes with utilizing students survey and scholastic level assessment, and management of Mathematics Cafe and its homepage, and also setting example classes for assignments on the Webwork system and evaluating the class.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.279-296
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• 2009

In this paper, we utilize student survey, scholastic level assessment and class evaluation in order to address the problems and find out the improvements on operating the subjects in the university-level program(UP), focusing on the Calculus I. We also propose effective management strategies and learning methods for the UP classes consisting of excellent high school students.

• Journal of the Korean School Mathematics Society
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• v.25 no.3
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• pp.261-278
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• 2022

The purpose of this study is to develop an assessment to diagnose difficulties in learning mathematics and misconstructions that elementary students have. With thorough theoretical background and analysis of mathematics curriculum documents, we established learning trajectories for the following content areas in grades 3 to 6: number and operation, regularity, data and chance, geometry, and measurement. Then, the research team created the assessment items targeting a specific stage in the learning trajectories and including item options to identify possible misconceptions. Based on the unified validity theory, we reported the detailed procedure of the assessment development and the evidence for the content, substance, and structural validity of the assessment. We collected the data of 675 elementary students. Rasch measurement modeling was applied, and Cronbach's alpha was estimated. We considered how to report students' assessment results to teachers appropriately and immediately, which suggested important implications for supporting teaching and learning mathematics in elementary schools. We also suggested how to use the assessment developed in this study in online and distance learning environments due to the COVID-19 pandemic.

• Journal of the Korean School Mathematics Society
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• v.16 no.2
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• pp.435-457
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• 2013

The purpose of this paper is to discover effective teaching and learning methods for improving low level mathematic matriculants', who passed the early decision program, problem solving abilities by analyzing their error patterns in the special lecture for basic mathematics in P University. In this paper, we examine the matriculants' understanding and errors on the fundamental concepts of function, and continuity and differentiability of function based on the pre-examination. We also measure the their academic achievement in the special lecture for basic mathematics, and analyze the differences of error patterns between pre-test and post-test result on the concepts of continuity and differentiability of function.

• 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.

• East Asian mathematical journal
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• v.30 no.4
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• pp.493-507
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• 2014

The purpose of this thesis is to understand the relationship between the College Scholastic Ability Test(CSAT) and the Mathematics Level Assessment(MLA) which is conducted in P University. There are high correlations in grades, subject areas and college entrance types between grades of mathematics B-type of the CSAT and scores of the MLA. However, the many students showed substantial differences between the grades in the two tests. 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.

• Proceedings of the Korean Information Science Society Conference
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• 2001.04b
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• pp.688-690
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• 2001

온라인을 이용해서 교육목적을 달성하기 위해서는 학습자 수준을 분서하여서 수준에 맞는 학습 내용을 제공해야 한다. 특히 수학과처럼 학습의 연계성이 큰 교과는 선수학습이 결손되면 후속학습의 목표 도달에 곤란을 갖게 된다. 따라서 학습자가 학습목표를 잘 도달할 수있게 하기 위해서는 선수학습 결손 여부를 판단해서 학습결손이 발견되면 보충학습을 한 뒤 본 학습을 하도록 해야 한다. 이에 본 논문에서는 IPI를 이용하여 학습자의 수학과 학습 수준을 분석할 수 있는 진단시스템을 설계 구현하였다. IPI(Individually Prescribed Instruction)는 학습자의 수준을 진단$\longrightarrow$처방$\longrightarrow$평가하는 개별처방교수법으로 이를 이용하면 학습자의 수준을 진단해서 학습자 수준에 맞게 처방을 하여 개별화된 학습을 할 수가 있다. 수학학습에 본 시스템을 활용하면 학습자는 학습결손이 일어나지 않게 되어 궁극적으로 학습목표에 도달할 수 있게 된다.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.479-498
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• 2013

As education is one of key factors to improve national competitiveness, quality education becomes a top priority in all countries around the world. In South Korea, The Basic Skills Competency Test is administered annually to select below-basic third graders and provide intervention programs. The Basic Skills Competency Test was designed to diagnose the minimal competency of third graders according to a national-level standards. The purpose of this study was to analyze standard-setting procedures and set cut-off scores. This study offered the empirical evidence that standard-setting is generally applicable in schools by the modified Ebel method. More future researches addressing appropriate and efficient standard-setting methods in real school situations are needed to be taken in.

• Proceedings of the Korean Information Science Society Conference
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• 2000.04b
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• pp.678-680
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• 2000

교육은 학습자의 타고난 재능을 최대한 계발시키는 것에 목적이 있다. 이를 위해서는 개개인에 최적화된 학습시스템이 필요하다. 본 논문에서는 수준별, 개인별 수학학습을 도와 자기주도적 학습능력을 키울 수 있는 시스템을 web상에서 개발하여 구현하고자 한다. 기존의 Web에서 제공되는 수학학습을 살펴보면 텍스트 위주의 설명, 단순한 문제를 제공하고 정, 오답의 결과만을 제시해 주는 형태가 많다. 그러나 본 시스템은 학생들의 흥미와 학습동기를 유발시키기 위해 동영상과 음성 등의 멀티미디어 자료를 이용하여 학습내용을 전개하도록 구성하였다. 또한 평가문항은 진단평가를 통해 수준을 분석받고 수준별 평가 문항으로 다운로드 받을 수 있도록 설계하였다. 이 시스템은 다양한 멀티미디어 자료의 제공으로 학습자의 학습동기와 흥미를 유발시키고 수준별 학습을 가능하게 하여 학습 성취감을 증가시킬 수 있다. 그리고 학습자는 이 시스템을 통해 스스로 학습을 선택하고 진행하게 되어 자기주도적 학습능력을 신장시키게 된다.

• Proceedings of the Korean Information Science Society Conference
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• 2001.04b
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• pp.664-666
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• 2001

학생들에게 흥미와 관심을 가지게 하면서 수학수업을 효과적으로 할 수 있는 방법론에 대한문제는 수학교육의 관심사중 하나이다. 그러나 실상 교사들이 현장에서 쉽게 이행할 수 있는 학습자료의 개발이나 그 활용은 미진한 상태이다. 본 연구에서는 아동들의 발달수준에 맞는 적절한 경험을 제공하여야 한다는 입장엣 수학적 힘을 기르기 위해 수준별, 개인별 수학학습에 바탕을 두고 학습자 중심의 학습능력을 키울 수 있는 웹 기반 게임형 초등 수학 학습 프로그램을 개발한다. 이 시스템은 학습자 진단평가로 학습자 수준을 판단한 다음 단계로 수준 결과에 따라 Story 학습을 통하여 단계별 학습내용의 기본원리를 설명한다. 그 다음에는 story학습에서 배운 기본원리를 응용하여 학습할 수 있도록 설계된 게임학습을 하게 함으로써 학습자는 능동적인 학습참여와 다양한 수학적 사고를 육성시킬 수 있고, 보다 쉽게 학습목표에 도달할 수 있다.