• Title/Summary/Keyword: math

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Mathematics Equation Editing and Presentation System based on MathML (MathML에 기반한 수학식 편집 및 표현 시스템)

  • Gang, Chi-Won;Jeon, Seong-Hak;Jeong, Hoe-Gyeong
    • The KIPS Transactions:PartD
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    • v.9D no.3
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    • pp.487-494
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    • 2002
  • In this paper, we present an equation edition system, which is designed and implemented according to the W3C MathML standard. The system can be used to edit equations for the various web-oriented applications. Various user-friendly interfaces are provided for the easy and efficient edition of equations. The edited equations can be viewed immediately with the representation modules. To improve the processing speed of equations, we upgraded functions of the conventional XML parser. The presented system will contribute to the extensive usage of equations on the web and efficient processing of XML documents with equations.

Effects of Math Instruction Using Clip-Type Contents on Elementary Students' Mathematical Learning (클립형 콘텐츠를 활용한 수학 수업이 초등학생의 수학 학습에 미치는 영향)

  • Kim, Youn-Kyoung;Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.2
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    • pp.357-377
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    • 2014
  • The purpose of this study is to identify whether math class with clip-type contents has a significant impacts on the academic achievement and attitude of students. To answer the questions, two classes of 4th graders at Sinlim Elementary School in Gwanak-gu, Seoul were selected as subjects; they were divided into experimental group and comparative group. They were confirmed as a homogeneous group at the significance level of 0.05 during a pre-test. The findings are as follows. First, math class with clip-type contents had positive influence on the academic achievement. Second, math class with clip-type contents had positive influence on the attitude towards learning. Furthermore, proper clip-type contents for class boost their understanding and enhance their mathematical thinking with multiple views. It led to their self-confidence in learning math, developing a positive attitude towards math. The benefits of the present research can be summarized as follows. First, the math class with clip-type contents benefited both teachers and students. For teachers, it helped them boost the quality of their teaching. For students, it helped them understand the class better, improving their academic achievement. Second, the diverse, interesting contents had a positive impact on the following of the students: self-concept of math; attitude towards math; learning habits.

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XML Document Editing System for Structural Processing of the Digital Document to Including Mathematical Formula (수식을 포함한 전자문헌의 구조적 처리를 위한 XML 문서편집시스템)

  • 윤화묵;유범종;김창수;정회경
    • Journal of the Korean Society for information Management
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    • v.19 no.4
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    • pp.96-111
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    • 2002
  • A lot of accumulated data of many quantity exist within a institution or an organization, but most data is remained in form of standardization as each institution or organization. There are difficulty in exchange and share of information. New concept of knowledge information resource management to overcome this disadvantage was introduced, and the digitization of knowledge information resources to share and manage accumulated data is been doing. Specially, in science technic or education scholarship it, the tendency that importing XML to process necessary data to exchange and share of knowledge information resources structurally, and limitation of back for search and indexing or reusability is happened according as expression of great many mathematics used inside electron document of these sphere is processed to nonstructural data of image or text and so on. There is interest converged in processing of mathematics that use MathML to overcome this, and we require the solution to be able to process MathML easily and efficiently on structural document. In this paper, designed and implemented of XML document editing system which easy structural process of electronic document for knowledge information resources, and create and express MathML easily on structural document without expert knowledge about MathML.

Development and Formative Evaluation of Web-based Contents for Engineering Mathematics Based on a Computer Algebra System (컴퓨터 대수 시스템 기반의 이공계 수학용 웹 콘텐츠 개발과 형성 평가)

  • Jun, Young-Cook;Kim, Jin-Young;Kwon, Sun-Kweol;Heo, Hee-Ok
    • Journal of the Korean School Mathematics Society
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    • v.10 no.1
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    • pp.27-43
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    • 2007
  • The aim of this paper is to develop a web-based learning system in order to motivate college students in the area of science and engineering to study college calculus. We designed and developed web-based contents, named MathBooster, using Mathematica, webMathematica and phpMath taking advantages of rapid computation and symbolic computation. The features of MathBooster consists of four parts: graphical representation of calculus concepts, textual illustrations of conceptual understanding, example-based step-by-step learning with phpMath, and quizzes with diagnostic feedback. After the MathBooster was practiced with engineering students, the formative evaluation was conducted with survey items composed in four categories: user responses, screen layout, practicing examples and diagnostic feedback in solving quizzes. The overall level of user satisfaction was statistically measured using SPSS. Those results indicate which parts of MathBooster are needed for future enhancement.

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Toward Self-Directed Math Learning in College Math Classes (대학수학에서, 자기주도 수학학습)

  • Kim, Byung-Moo
    • 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.

Interactive Engineering Mathematics Laboratory (SageMath를 활용한 '대화형 공학수학 실습실'의 개발과 활용)

  • Lee, Sang-Gu;Lee, Jae Hwa;Park, Jun H.;Kim, Eung-Ki
    • Communications of Mathematical Education
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    • v.30 no.3
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    • pp.281-294
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    • 2016
  • This study deals with the content that was developed by the authors and the utilization of the 'Interactive Engineering Math Laboratory (IEmath Lab).' IEmath Lab provides online review lectures as well as a wide range of examples and exercises from the curriculum of engineering mathematics courses. The lectures come with pre-coded Python-based SageMath cells through which students can run and modify the code directly from this free laboratory. IEmath Lab is accessible via mobile devices so that the students can use it anywhere, anytime for maximum learning effectiveness and achievement. IEmath Lab would be an ideal tool for the effective learning and teaching of engineering mathematics, which combines theory and practice.

Enhancing Expertise as Math Academic Counselor : Self-study for Math Teacher (수학학습 상담 전문성 신장을 위한 자기연구)

  • Lee, Hee Yeon;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.30 no.2
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    • pp.225-249
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    • 2016
  • This study focuses on enhancing expertise as a study advisor for mathematic teacher in field based on self-study method. By advising math study with students in school, the research was carried out 'process & content of mathematic study method advisement', 'process & content of the self-questioning by the math study adviser', and 'enhancing expertise as a math study counsellor by self-study method'. Overall process has been proceeded through preparation, experiment, result & analysis. Experiment has been done based on consultation modeling for academic high school which ran five times. During consultation, based on analysis & result, researcher has recorded 'self-questioning' report. This report is utilized for 'self-examination' for the researcher along the discussion with counselor for enhancing expertise as a study advisor. By above process, practitioner identifies each own's pros & cons as a mathematic study advisor and strengthens the skill while understanding the subject: student. by 'self-studying' method, advisor enhances its own expertise as a teacher with the achieving student and learns practical knowledge for a math study advisor.

A Comparative Study of Elementary School Mathematics Textbooks of Korea(2007 Curriculums) and America(Harcourt Math) -focused on the introductions and operations of fractions and decimals- (한국과 미국(Harcourt Math)의 초등수학 교과서 비교 분석: 분수와 소수의 도입과 연산을 중심으로)

  • Choi, Keunbae
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.1
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    • pp.17-37
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    • 2015
  • In this paper, we compared and analyzed the Korean National Mathematics textbooks of the 2007 amendment curriculum and the Harcourt Math in America focused on fractions and decimals. To summarize the results of the analysis are as follows. First, both textbooks introduce fractions to the meaning of parts-whole concept, but the Harcourt Math is stronger than that of Korean Mathematics textbooks in the concept of unit fractions as a generator of fractions. Second, the fractions can be considered trivial materials - a fraction representing 1 whole, a fraction with it's denominator is 1 - were more clearly represented in our US textbooks than those of our Korean textbooks. Third, in the introduction of the term relating to the fractions, Korea is a strong point of view of the classification of fractions than the point of view of representation in comparison with the case of the United States. Fourth, the equivalent fraction and equivalent decimal concepts were described more detail in the United States of textbooks than those of the case of Korean textbooks. Finally, the approaches of fraction and decimal concepts were introduced more mathematically in the case of the United States than those of the case of Korean textbooks.

Development and application of the program for students with under-achievement of math in high school - On the case of ADDIE model - (고등학교 수학 학습부진학생을 위한 프로그램 개발 및 적용 -ADDIE 모형 적용 사례-)

  • Oh, Taek-Keun
    • The Mathematical Education
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    • v.57 no.4
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    • pp.329-352
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    • 2018
  • This study analyzed each process of demand analysis(A), design(D), development(D), implementation(I) and evaluation(E) of the program to support mathematics learning of students with under-achievement of math in high school. To analyze the demand, a survey was conducted on 235 high school math teachers and 334 high school students who were under-achieved in mathematics. To design and develope the program, this study linked middle school math to high school math so that the students with poor math learning could easily participate in mathematics learning. The programs developed in this study were implemented in three high schools, where separate classes were organized and run for students with poor math learning. The evaluation of the programs developed in this study was done in two ways. One was a quantitative evaluation conducted by five experts, and the other was a qualitative evaluation conducted through interviews with teachers and students participating in the program. This study found that students with poor mathematics learning were more motivated to learn, started to do mathematics, and encouraged to be confident when using learning materials that included easy problems and detailed solutions that they could solve themselves. From these results, the following three implications can be derived in developing a program to support students who are experiencing poor mathematics learning in high school. First, we should develop learning materials that link middle school mathematics to high school mathematics so that students can supplement middle school mathematics related to high school mathematics. Second, we need to develop learning materials that include detailed solutions to basic examples and include homogeneous problems that can be solved while looking at the basic example's solution process. Third, we should avoid the challenge of asking students who are under-achieving to respond too openly.

Preservice teachers' evaluation of artificial intelligence -based math support system: Focusing on TocToc-Math (예비교사의 인공지능 지원시스템에 대한 평가: 똑똑! 수학탐험대를 중심으로)

  • Sheunghyun, Yeo;Taekwon Son;Yun-oh Song
    • The Mathematical Education
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    • v.63 no.2
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    • pp.369-385
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    • 2024
  • With the advancement of digital technology, a variety of digital materials are being utilized in education. For their appropriate use of digital resources, teachers need to be able to evaluate the quality of digital resource and determine the suitability for teaching. This study explored how preservice teachers evaluate TocToc-Math, an Artificial Intelligence (AI)-based math support system. Based on an evaluation framework developed through prior research, preservice teachers evaluated TocToc-Math with evidence-based criteria, including content quality, pedagogy, technology use, and mathematics curriculum alignment. The findings shows that preservice teachers positively evaluated TocToc-Math overall. The evaluation tendencies of preservice teachers were classified into three groups, and the specific characteristics of each factor differed depending on the group. Based on the research results, we suggest implications for improving preservice teachers' evaluation abilities regarding the use of digital technology and AI in mathematics education.