• Title, Summary, Keyword: 수학적 모델링

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A Study on a Modelling Process for Fitting Mathematical Modeling (수학적 모델링의 정교화 과정 연구)

  • Kang, Ok-Ki
    • Journal of Educational Research in Mathematics
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    • v.20 no.1
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    • pp.73-84
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    • 2010
  • Mathematical modeling is an important part of mathematics education since it can be used or created to find mathematical models to understand real life various situations. Most of mathematical modeling tasks taught and learned currently in secondary school mathematics classes need simple mathematical modelling with one or two variables and produce fixed solutions to the real life problems. But many real life problems involve various and complex variables which can be used to get more proper solutions. Constructing mathematical models to get more appropriate solutions from the real problems having various and complex variables is not easy. In this paper the researcher suggested a model to fit mathematical models to get more appropriate solutions and showed three examples to apply the model in solving real life problems which can be treated in the secondary school mathematics classrooms.

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A Study of the Need for Applying Mathematical Modeling in the Elementary Schools (초등수학에서 수학적 모델링 적용 필요성에 대한 연구)

  • Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.3
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    • pp.483-501
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    • 2013
  • The present study is to focus on thinking about the possibility of using mathematical modeling in the elementary schools. As well-known, mathematical education in Korea, even though students' high achievement in mathematics, has a lot of problems regarding their attitudes toward mathematics. Mathematical modeling is regarded as playing an important role in helping improve the current problems embedded in elementary mathematics education. Thus, this study reviewed the background that mathematical modeling attracted lots of attentions by many mathematics researchers, the definitions of mathematical modeling and the similarities and differences between problem solving and mathematical modeling. In addition, the processes and main features of well-known three representative models of mathematical modeling were reviewed, and each case of research on mathematical modeling in the elementary schools in Korea and foreign countries was introduced, respectively. Finally, this study suggests that mathematical modeling needs to be dealt with in the elementary school curriculum, together with the improvement of teachers' recognition for mathematical modeling.

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A Study of Understanding Mathematical Modelling (수학적 모델링의 이해 - 국내 연구 결과 분석을 중심으로 -)

  • Hwang, Hye-Jeang
    • School Mathematics
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    • v.9 no.1
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    • pp.65-97
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    • 2007
  • Problem solving and mathematical applications have been increasingly emphasized in school mathematics over the past ten years. Recently it is recommended that mathematical applications and modeling situations be incorporated into the secondary school curriculum. Many researches on this approach have been conducted in Korea. But unfortunately two thirds of these researches have been studied by graduate students. Therefore, more professional researchers should be concerned with the study related to mathematical modelling activity. This study is planning to investigate and establish i) the concepts and meanings of mathematical model, mathematical modelling, and mathematical modelling process, ii) the properties of problem situations introduced and dealt with in mathematical modelling activity, and iii) relationship between mathematical modelling activity and problem solving activity, and so on. To accomplish this, this study is based on the analysis and comparison of 11 articles published in domestic journals and 22 domestic master papers.

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Trends in Korea research on mathematical modeling investigated by mathematical modeling map (수학적 모델링 맵으로 살펴본 수학적 모델링에 관한 국내 연구 동향)

  • Choi, Kyounga
    • Journal of the Korean School Mathematics Society
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    • v.21 no.4
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    • pp.327-342
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    • 2018
  • The purpose of this paper is to review the domestic research on mathematical modeling by using three dimensional mathematical modeling map composed of perspective axis, domain axis, level axis, and to give direction to mathematical modeling research. The findings of this study show that the domestic research on mathematical modeling focuses on application perspective, notions and classroom domain and secondary level, and that we need various studies with concept formation perspective, system domain, tertiary level, and teacher(education) level on the future work about mathematical modeling.

An Analysis of Mathematical Modeling Process and Mathematical Reasoning Ability by Group Organization Method (모둠 구성에 따른 수학적 모델링 과정 수행 및 수학적 추론 능력 분석)

  • An, IhnKyoung;Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.497-516
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    • 2018
  • The purpose of this study is to compare the process of mathematical modeling in mathematical modeling class according to group organization, and to investigate whether it shows improvement in mathematical reasoning ability. A total of 24 classes with 3 mathematical modeling activities were designed to investigate the research problem. The result of this study showed that the heterogeneous groups performed better than the homogeneous groups in terms of both the performance ability of mathematical modeling and mathematical reasoning ability. This study implies that, with respect to group design for applying mathematical modeling in teaching mathematics, heterogeneous group design would be more efficient than homogeneous group design.

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Comparison and Analysis among Mathematical Modeling, Mathematization, and Problem Solving (수학적 모델링과 수학화 및 문제해결 비교 분석)

  • Kim, In-Kyung
    • Journal for History of Mathematics
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    • v.25 no.2
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    • pp.71-95
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    • 2012
  • Nowadays, the big issues on mathematics education are mathematical modeling, mathematization, and problem solving. So, this paper looks about these issues. First, after 1990's, the researchers interested in mathematical model and mathematical modeling. So, this paper looks about mathematical model and mathematical modeling. Second, it looks about Freudenthal' mathematization after 1970's. And then, it compared with mathematical modeling. Also, it looks about that problem solving focused on mathematics education since 1980's. And it compared with mathematical modeling.

The Effects of Mathematical Modeling Activities on Mathematical Problem Solving and Mathematical Dispositions (수학적 모델링 활동이 수학적 문제해결력 및 수학적 성향에 미치는 영향)

  • Ko, Changsoo;Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.3
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    • pp.347-370
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    • 2015
  • The purpose of this study is to examine the effects of mathematical modeling activities on mathematical problem solving abilities and mathematical dispositions in elementary school students. For this study, we administered mathematical modeling activities to fifth graders, which consisted of 8 topics taught over 16 classes. In the results of this study, mathematical modeling activities were statistically proven to be more effective in improving mathematical problem solving abilities and mathematical dispositions compared to traditional textbook-centered lessons. Also, it was found that mathematical modeling activities promoted student's mathematical thinking such as communication, reasoning, reflective thinking and critical thinking. It is a way to raise the formation of desirable mathematical dispositions by actively participating in modeling activities. It is proved that mathematical modeling activities quantitatively and qualitatively affect elementary school students's mathematical learning. Therefore, Educators may recognize the applicability of mathematical modeling on elementary school, and consider changing elementary teaching-learning methods and environment.

Fostering Mathematical Creativity by Mathematical Modeling (수학적 모델링 활동에 의한 창의적 사고)

  • Park, JinHyeong
    • Journal of Educational Research in Mathematics
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    • v.27 no.1
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    • pp.69-88
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    • 2017
  • One of the most important activities in the process of mathematical modeling is to build models by conjecturing mathematical rules and principles in the real phenomena and to validate the models by considering its validity. Due to uncertainty and ambiguity inherent real-contexts, various strategies and solutions for mathematical modeling can be available. This characteristic of mathematical modeling can offer a proper environment in which creativity could intervene in the process and the product of modeling. In this study, first we analyze the process and the product of mathematical modeling, especially focusing on the students' models and validating way, to find evidences about whether modeling can facilitate students'creative thinking. The findings showed that the students' creative thinking related to fluency, flexibility, elaboration, and originality emerged through mathematical modeling.

A study on literature review of mathematical modeling in mathematical competencies perspective (수학 교과 역량 관점에서의 수학적 모델링에 관한 선행 연구 탐색)

  • Choi, Kyounga
    • Journal of the Korean School Mathematics Society
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    • v.20 no.2
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    • pp.187-210
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    • 2017
  • The animated discussion about mathematical modeling that had studied consistently in Korea since 1990s has flourished, because mathematical modeling was involved in the teaching-learning method to improve problem solving competency on 2015 reformed mathematics curriculum. In an attempt to re-examine the educational value and necessity of application to school education field, this study was to review the literature of mathematical modeling in mathematical competencies perspective. As a result, mathematical modeling could not only be involved the components of problem solving competency, but also support other competencies; reasoning, creativity-amalgamation, data-processing, communication, and attitude -practice. In this regard, This paper suggested the necessity of the discussion about the position of mathematical modeling in mathematical competencies and the active use of mathematical modeling tasks in mathematics textbook or school classes.

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Development and Application of Teaching-Learning Materials for Mathematically-Gifted Students by Using Mathematical Modeling -Focus on Tsunami- (중학교 3학년 수학 영재 학생들을 위한 수학적 모델링 교수.학습 자료의 개발 및 적용: 쓰나미를 소재로)

  • Seo, Ji Hee;Yeun, Jong Kook;Lee, Kwang Ho
    • School Mathematics
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    • v.15 no.4
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    • pp.785-799
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    • 2013
  • The researchers developed the teaching-learning materials for 9th grade mathematically gifted students in terms of the hypothesis that the students would have opportunity for problem solving and develop various mathematical thinking through the mathematical modeling lessons. The researchers analyzed what mathematical thinking abilities were shown on each stage of modeling process through the application of the materials. Organization of information ability appears in the real-world exploratory stage. Intuition insight ability, spatialization/visualization ability, mathematical reasoning ability and reflective thinking ability appears in the pre-mathematical model development stage. Mathematical abstraction ability, spatialization/visualization ability, mathematical reasoning ability and reflective thinking ability appears in the mathematical model development stage. Generalization and application ability and reflective thinking ability appears in the model application stage. The developed modeling assignments have provided the opportunities for mathematically-gifted students' mathematical thinking ability to develop and expand.

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