• Title/Summary/Keyword: modeling mathematics

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A case study on supporting mathematical modeling activities through the development of group creativity (집단 창의성 발현을 통한 수학적 모델링 활동 지원 사례 연구)

  • Jung, Hye-Yun;Lee, Kyeong-Hwa
    • Journal of the Korean School Mathematics Society
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    • v.22 no.2
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    • pp.133-161
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    • 2019
  • In this paper, we analyzed the case of supporting the mathematical modeling activities through the group creativity in everyday class of 9th grade. The details are as follows. First, through the theoretical review, the meaning of group creativity according to sociocultural perspective and the sociocultural characteristics of mathematical modeling were confirmed. Second, we experimented in a classroom consisting of 5 groups of 4 students, and conducted a case study focusing on a well developed group of group creativity. The results are as follows. First, group creativity with various types of interaction and creativity synergy was observed at each stage of mathematical modeling. According to the stag e of mathematical modeling and the type of interaction, different creative synergy was developed. Second, the developed group creativity supported each step of mathematical modeling. According to the stage of mathematical modeling and the type of interaction, group creativity supported mathematical modeling activities in different directions.

Analysis on Status and Trends of SIAM Journal Papers using Text Mining (텍스트마이닝 기법을 활용한 미국산업응용수학 학회지의 연구 현황 및 동향 분석)

  • Kim, Sung-Yeun
    • The Journal of the Korea Contents Association
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    • v.20 no.7
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    • pp.212-222
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    • 2020
  • The purpose of this study is to understand the current status and trends of the research studies published by the Society for Industrial and Applied Mathematics which is a leader in the field of industrial mathematics around the world. To perform this purpose, titles and abstracts were collected from 6,255 research articles between 2016 and 2019, and the R program was used to analyze the topic modeling model with LDA techniques and a regression model. As the results of analyses, first, a variety of studies have been studied in the fields of industrial mathematics, such as algebra, discrete mathematics, geometry, topological mathematics, probability and statistics. Second, it was found that the ascending research subjects were fluid mechanics, graph theory, and stochastic differential equations, and the descending research subjects were computational theory and classical geometry. The results of the study, based on the understanding of the overall flows and changes of the intellectual structure in the fields of industrial mathematics, are expected to provide researchers in the field with implications of the future direction of research and how to build an industrial mathematics curriculum that reflects the zeitgeist in the field of education.

Learning motivation of groups classified based on the longitudinal change trajectory of mathematics academic achievement: For South Korean students

  • Yongseok Kim
    • Research in Mathematical Education
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    • v.27 no.1
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    • pp.129-150
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    • 2024
  • This study utilized South Korean elementary and middle school student data to examine the longitudinal change trajectories of learning motivation types according to the longitudinal change trajectories of mathematics academic achievement. Growth mixture modeling, latent growth model, and multiple indicator latent growth model were used to examine various change trajectories for longitudinal data. As a result of the analysis, it was classified into 4 subgroups with similar longitudinal change trajectories of mathematics academic achievement, and the characteristics of the mathematics subject, which emphasize systematicity, appeared. Furthermore, higher mathematics academic achievement was associated with higher self-determination and higher academic motivation. And as the grade level increases, amotivation increases and self-determination decreases. This study suggests that teaching and learning support using this is necessary because the level of learning motivation according to self-determination is different depending on the level of mathematics academic achievement reflecting the characteristics of the student.

Teachers and Research Studies in Computer-Assisted Learning

  • Lee, Joong-Kwoen;Ro, Young-Soon
    • Research in Mathematical Education
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    • v.1 no.1
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    • pp.87-94
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    • 1997
  • "In computer-assisted learning (CAL), small group problem-solving instruction is efficient. CAL should shift the focus of school mathematics toward goals for problem solving and mathematical modeling. For the shift, the roles and responsibilities for teachers are very important in CAL" (Heid et al. 1990).

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미국 Common Core State Standards for Mathematics 소개

  • Kim, Young-Ok
    • East Asian mathematical journal
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    • v.27 no.4
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    • pp.471-483
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    • 2011
  • The purpose of this study is to introduce the Common Core State Standards (CCSS) for mathematics which is released on June 2, 2010 in the U.S.A. The common core state standards are aligned with college and work expectations, and include rigorous content and application of knowledge through high-order skills. The most distinguishable differences between the CCSS standards and the NCTM standards are that the CCSS standards considers the mathematical modeling as one of the mathematical content domains such as algebra, geometry, ets, and the standards are designed by working together with school leaders of all states.

Impact of Hand-Held Technology for Understanding Linear Equations and Graphs

  • Kwon, Oh-Nam
    • Research in Mathematical Education
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    • v.6 no.1
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    • pp.81-96
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    • 2002
  • This article describes a research project that examined the impact of hand-held technology on students' understanding linear equations and graphs in multiple representations. The results indicated that students in the graphing-approach classes were significantly better at the components of interpreting. No significant differences between the graphing-approach and traditional classes were found fur translation, modeling, and algebraic skills. Further, students in the graphing-approach classes showed significant improvements in their attitudes toward mathematics and technology, were less anxious about mathematics, and rated their class as more interesting and valuable.

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A Parallel Iterative Algorithm for Solving The Eigenvalue Problem of Symmetric matrices

  • Baik, Ran
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.2
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    • pp.99-110
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    • 2000
  • This paper is devoted to the parallelism of a numerical matrix eigenvalue problem. The eigenproblem arises in a variety of applications, including engineering, statistics, and economics. Especially we try to approach the industrial techniques from mathematical modeling. This paper has developed a parallel algorithm to find all eigenvalues. It is contributed to solve a specific practical problem, a vibration problem in the industry. Also we compare the runtime between the serial algorithm and the parallel algorithm for the given problems.

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Development and Application of Mathematical Modeling Task for the Lower Grade Elementary School Students (초등학교 저학년을 위한 수학적 모델링 과제 개발 및 적용 가능성 탐색)

  • Chang, Hyewon;Choi, Hye Ryung;Kang, Yun Ji;Kim, Eun Hye
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.93-117
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    • 2019
  • Considering precedent studies in which research subjects are mainly confined to secondary school students or higher grade students of elementary schools, we can notice that there has been implicit agreement that instruction of mathematical modeling is quite difficult to lower grade students of elementary schools. Compared to this tendency, this study aims to examine the possibility of instruction of mathematical modeling for all of school ages, and more specifically, the applicability of mathematical modeling tasks to lower graders. To do this, we developed a mathematical modeling task proper to cognitive characteristics of lower graders and applied this task to the second graders. Based on the research results by lesson observation and the teacher's reflection, some didactical suggestions were induced for teaching the lower grade elementary school students mathematical modeling.

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A Study on Meaning in Solving of Mathematical Modeling Problem (수학적 모델링문제 해결에서의 의미에 관한 연구)

  • Kim, Chang Su
    • Journal of the Korean School Mathematics Society
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    • v.16 no.3
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    • pp.561-582
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    • 2013
  • Meanwhile, the meaning has been emphasized in mathematics. But the meaning of meaning had not been clearly defined and the meaning classification had not been reported. In this respect, the meaning was classified as expressive and cognitive. Furthermore, it was reclassified as mathematical situation and real situation. Based on this classification, we investigated how student recognizes the meaning when solving mathematical modeling problem. As a result, we found that the understanding of cognitive meaning in real situation is more difficult than that of the other meaning. And we knew that understanding the meaning in solving of equation, has more difficulty than in expression of equation. Thus, to help students understanding the meaning in the whole process of mathematical modeling, we have to connect real situation with mathematical situation. And this teaching method through unit and measurement, will be an alternative method for connecting real situation and mathematical situation.

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An Analysis of Research Trends on Basic Academic Abilities in Mathematics with Frequency Analysis and Topic Modeling (빈도 분석 및 토픽모델링을 활용한 수학 교과에서 기초학력 관련 연구 동향 분석)

  • Cho, Mi Kyung
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.615-633
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    • 2023
  • This study analyzed Korean studies up to August 2023 to suggest the direction of future research on basic academic abilities in mathematics. For this purpose, frequency analysis and LDA-based topic modeling were conducted on the Korean abstracts of 197 domestic studies. The results showed that, first, 'academic achievement', 'impact', 'effect', and 'factors' were all ranked at the top of the TFs and TF-IDFs. Second, as a result of LDA-based topic modeling, five topics were identified: causes of basic academic abilities deficiency, learning status of math underachievers, teacher expertise in teaching math underachievers, supporting programs for math underachievers, and results of National Assessment of Educational Achievement. As a direction for future research, this study suggests focusing on the growth of math underachievers, systematizing the programs provided to students who need learning support in mathematics, and developing teacher expertise in teaching math underachievers.