• Title/Summary/Keyword: 수학교육과 교육과정

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Research on the manual development for activating teaching consulting in mathematics (수업컨설팅 활성화를 위한 매뉴얼 개발 - 수학 교과를 중심으로 -)

  • Choe, Seung-Hyun;Hwang, Hye Jeang;Nam, Geum Cheon
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.1-29
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    • 2013
  • The main goal of the research is to develop instructional consulting manual to help math teachers improve classroom teaching. Improving the quality of teaching in schools is stressed as a central focus of meaningful classroom instruction and high quality education. In this research, teaching consulting was defined as an activity that covers reflection process oriented towards formative assessment and continuing professional development. Within this context, subject-specific teaching consulting and teaching professionalism with focus on PCK was reviewed. Further, the questionnaire survey was conducted to investigate the current situation of teaching consulting and teachers' needs for consulting. And also, specific examples of subject-specific consulting based on our previous consulting experiences in math classes were shown. Alternative ways to improve subject teaching were derived through the conferences where consultants and consultees analyze video-taped lessons conducted by the consultees. By those results, a manual for invigorating teaching consulting was developed. The contents of the manual consists of setting conditions of teaching consulting and its implementation in the classroom teaching. The first part of the manual contains steps to establish teaching consulting system, the qualification and role of the consultant, system evaluation, etc. The second part of the manual presents the pre-preparation, prescription and implementation and follow-up management steps. Each part of the manual provides consultants with specific guidelines for each step. Finally, recommendations for making policy related to ways to invigorate teaching consulting was suggested. It is expected that specific examples and cases of subject-specific teaching consulting presented in this research will be used to narrow the gap between theory and practice of teaching consulting, and to help math, science and English teachers develop teaching professionalism.

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A Study on the Learning-Teaching Plan about a Essential Concept of Decimal Fraction Based on Decimal Positional Notation (위치적 십진기수법을 본질로 하여 조직한 소수 개념 지도 방안 연구)

  • Kang, Heung-Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.199-219
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    • 2011
  • In this thesis, we designed a experimental learning-teaching plan of 'decimal fraction concept' at the 4-th grade level. We rest our plan on two basic premises. One is the fact that a essential concept of decimal fraction is 'polynomial of which indeterminate is 10', and another is the fact that the origin of decimal fraction is successive measurement activities which improving accuracy through decimal partition of measuring unit. The main features of our experimental learning-teaching plan is as follows. Firstly, students can experience a operation which generate decimal unit system through decimal partitioning of measuring unit. Secondly, the decimal fraction expansion will be initially introduced and the complete representation of decimal fraction according to positional notation will follow. Thirdly, such various interpretations of decimal fraction as 3.751m, 3m+7dm+5cm+1mm, $(3+\frac{7}{10}+\frac{5}{100}+\frac{1}{1000})m$ and $\frac{3751}{1000}m$ will be handled. Fourthly, decimal fraction will not be introduced with 'unit decimal fraction' such as 0.1, 0.01, 0.001, ${\cdots}$ but with 'natural number+decimal fraction' such as 2.345. Fifthly, we arranged a numeration activity ruled by random unit system previous to formal representation ruled by decimal positional notation. A experimental learning-teaching plan which presented in this thesis must be examined through teaching experiment. It is necessary to successive research for this task.

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Validation of the effectiveness of AI-Based Personalized Adaptive Learning: Focusing on basic math class cases (인공지능(AI) 기반 맞춤형 학습의 효과검증: 기초 수학수업 사례 중심으로)

  • Eunae Burm;Yeol-Eo Chun;Ji Youn Han
    • Journal of Internet of Things and Convergence
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    • v.9 no.3
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    • pp.35-43
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    • 2023
  • This study tried to find out the applicability and effectiveness of the AI-based adaptive learning system in university classes by operating an AI-based adaptive learning system on a pilot basis. To this end, an AI-based adaptive learning system was applied to analyze the operation results of 42 learners who participated in basic mathematics classes, and a survey and in-depth interviews were conducted with students and professors. As a result of the study, the use of an AI-based customized learning system improved students' academic achievement. Both instructors and learners seem to contribute to improving learning performance in basic concept learning, and through this, the AI-based adaptive learning system is expected to be an effective way to enhance self-directed learning and strengthen knowledge through concept learning. It is expected to be used as basic data related to the introduction and application of basic science subjects for AI-based adaptive learning systems. In the future, we suggest a strategy study on how to use the analyzed data and to verify the effect of linking the learning process and analyzed data provided to students in AI-based customized learning to face-to-face classes.

Development of teaching and learning materials by using GeoGebra and it's application effects for high school mathematically gifted students (GeoGebra를 활용한 교수.학습이 과학고등학교 수학영재들의 인지적 측면에 미치는 영향)

  • Kim, Mu Jin;Lee, Jong Hak;Kim, Wonkyung
    • Journal of the Korean School Mathematics Society
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    • v.17 no.3
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    • pp.359-384
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    • 2014
  • The purpose of this study is inquire the reaction and adaptability of the mathematically gifted student, in the case of introduce learning materials based on GeoGebra in real class. The study program using GeoGebra consist of 'construction of fundamental figures', 'making animation with using slider tools' (graph of a function, trace of a figure, definite integral, fixed point, and draw a parametric curve), make up the group report after class. In detail, 1st to 15th classes are mainly problem-solving, and topic-exploring classes. To analyze the application effects of developed learning materials, divide students in four groups and lead them to make out their own creative products. In detail, guide students to make out their own report about mathematical themes that based on given learning materials. Concretely, build up the program to make up group report about their own topics in six weeks, after learning on various topics. Expert panel concluded that developed learning materials are successfully stimulate student's creativity in various way, after analyze of the student's activities. Moreover, those learning programs also contributed to the develop of the mathematical ability to thinking that necessary to writing a report. As well, four creative products are assessed as connote mathematically gifted student's creative thinking and meaningful elements in mathematical aspects.

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Study on the Development of Convergence lesson about Computer with Internet Marketing subject in University (대학에서 컴퓨터와 인터넷 마케팅 교과간 융합수업 모형 개발에 관한 연구)

  • Lee, Keunsoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.9
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    • pp.7-12
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    • 2018
  • In the society where the paradigm of knowledge is rapidly changing and developing, convergence emphasizing the connection between knowledge and technology in various fields is significant. In order to cultivate these creative-convergent talents, STEAM(Science, Technology, Engineering, Arts, and Mathematics) is being considered important to make them equipped with creative thinking ability and core competence required in the future society and help them devise new ideas escaping from the branches of study. This study is about convergence instructional design of computer with marketing subject, which aims to foster talent. The results of this study are as follows. First, the structured process of convergence lessons. Second, the convergence lesson was based on a cyclic process with steps : selection of the subject concerned, selection of a topic, designing the lesson, mapping out the lesson plan and developing problems, having a final discussion on the whole lesson, performing the lesson and evaluating the lesson. Third, the development of the problems about the introduction of computer engineering and Internet marketing subject for convergence lessons. To make an effect of this model, studies applying this instructional design to many lectures should be implemented.

The Effects of Estimation Activities on Understanding Concepts, Predicting and Calculating Answers in Problem Solving Procedure: Cases of Speed and Density (어림 활동이 문제 해결 과정에서 개념 이해, 해답 예측, 계산에 미치는 영향 : 속력과 밀도의 사례를 중심으로)

  • Suh, Jung-Ah;Jo, Kwang-Hee;Song, Jin-Woong;Pak, Sung-Jae
    • Journal of The Korean Association For Science Education
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    • v.24 no.5
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    • pp.814-824
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    • 2004
  • This article presents the effects of estimation activities related to speed and density on students' concept-understanding, answer-prediction, and answer-calculation in problem solving procedure with quantitative and qualitative methods. Participants were one hundred and ninety two seventh graders from one coeducational school in Seoul. Half of them participated in the estimation activities and the other half did in the measurement activities. Discussions of three students during estimation activities on density and their post-interviews were tape-recorded. Pre- and post-assessment scores were analyzed for the whole classes, and students' discussions and interviews served this research as evidences for the case analysis. Results of scores indicated that students in the estimation activities were significantly better than those in the measurement activities for predicting answers, but not for understanding concepts. Analysis of the cases revealed that estimation activity helped them to understand the relations of mass, volume and density, empirically, which enhanced their prediction ability. Furthermore, the ability could help a student with low calculation ability to comprehend the calculation problems. Thus, it is concluded that estimation activities could influence students' empirical learning on quantitative concepts, which enhanced their prediction ability.

On the Operation Theory of the Tractatus (『논리-철학 논고』의 연산 이론에 관하여)

  • Park, Jeong-il
    • Korean Journal of Logic
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    • v.22 no.3
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    • pp.417-446
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    • 2019
  • The operation theory of the Wittgenstein's Tractatus Logico-Philosophicus is the essential basis of the philosophy of mathematics of the Tractatus. Wittgenstein presents the definition of cardinal numbers on the basis of operation theory, and suggests the proof of "$2{\times}2=4$" by using the theory of operations in 6.241. Therefore, in order to explicate correctly the philosophy of mathematics, it is required to understand rigorously the theory of operations in the Tractatus. Accordingly in this paper, I will endeavor to explicate operation theory of the Tractatus as a preliminary study for explicating the philosophy of mathematics of the Tractatus. In this process, we can ascertain Frascolla's important contributions and fallacies in his reconstruction of 6.241. In particular, we can understand the background that in 6.241 Wittgenstein made mistakes and that there he dealt with the addition operation of the theory of operations, and on the basis of this, we can reconstruct correctly 6.241.

Development of a Drug Dosage Calculation Learning Smartphone Application (약물용량계산 학습 스마트폰 어플리케이션 개발)

  • Kim, Myoung-Soo;Park, Jung-Ha
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.5
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    • pp.2251-2261
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    • 2013
  • The objective of this study was to develop and evaluate learning smartphone application for improving drug dosage calculation ability of nursing students. We evaluated the contents based on the sufficient teaching materials and developed the process for implementation of the educational system. The participants were 37 nursing students. After implementation during 4 weeks, data was analyzed with the SPSS WIN 18.0. There were significant differences of achievement of learning objectives(${\chi}^2$=10.90, p=.004), application to work(Z=2.86, p=.004), mathematical confidence (Z=3.07, p=.002), according to the frequency of program use, but there was no difference in academic self-efficacy. Based on the results of this study, developed smartphone application will help to strengthen the drug dosage calculation ability of nursing students. And also, the results suggest that more powerful application for improving academic efficacy and increasing participation should be developed.

Influence of American and Japanese Architecture on Building the Post-war Korean Contemporary Architecture (전후 한국현대건축에 미친 미국과 일본건축의 영향 -미국에서 연수한 김정수와 일본에서 유학한 김수근을 중심으로-)

  • Ahn, Chang-Mo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.12
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    • pp.5974-5983
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    • 2011
  • This paper is a study to discover the influence of American and Japanese Architecture on Building the post-war Korean Contemporary Architecture by looking through the architectural works of KIM Jongsoo and KIM Swoo-Geun. To overcome the deteriorated Korean architectural production system, these two architects chose different solutions; KIM Jongsoo developed new materials and introduced industrialized production system based on his own research, and KIM Swoo-Geun tried to develope engineering capability via Korea Engineering Consultant Corp. supported by Korean government which led Korean economic development plan. The difference of their solutions was due to their different background; fund of studying abroad, architectural education system in USA & Japan respectively and preferred solutions of personal or national dimension.

Analysis of Error Types in the Differential Problem Solving Progress (미분 문제해결 과정에서의 오류 분석)

  • Jun, Young-Bae;Roh, Eun-Hwan;Choi, Jung-Sook;Kim, Dae-Eui;Jeong, Eui-Chang;Jung, Chan-Sik;Kim, Chang-Su
    • Journal of the Korean School Mathematics Society
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    • v.12 no.4
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    • pp.545-562
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    • 2009
  • Calculus is used in various parts of human life and the basis of social science such as economics and public administration. Yet that is still considered important in the field of science and technology only, and there have been a lot of disputes on that phenomenon. Fortunately, calculus is going to be taught as part of the academic high school second-year mathematics curriculum in and after 2010. Students who face calculus for the first time should be helped not to lose interest in differentiation learning, not to be apprehensive of it nor to avoid it. The purpose of this study was to examine the types of errors made by students in the course of solving differentiation problems in an effort to lay the foundation for differentiation education. A pilot test was conducted after generalized differentiation problems to which students were usually exposed were selected, and experts were asked to review the pilot test. And then a finalized test was implemented to make an error analysis according to an error type analysis framework to serve the purpose.

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