• Title/Summary/Keyword: mathematical model development

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Development and Validation of a Testing Tool for Mathematical Creativity and Character (수학적 창의·인성 검사도구 개발 및 타당화)

  • Whang, Woo-Hyung;Kim, Dong-Joong;Kim, Won;Lee, Da-Hee;Choi, Sang-Ho
    • The Mathematical Education
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    • v.56 no.1
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    • pp.41-62
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    • 2017
  • The purpose of this study is to propose the possibility of integrating creativity and character education and its need in mathematics education by developing and validating a testing tool assessing students' perceptions of mathematical creativity and character. For this purpose, we developed sixty questions in total to extract factors of mathematical creativity and character based on a literature review. Then, questionnaire data were collected for 1258 middle school students. After the collected data were randomly divided into two (n1=615, n2=643), the first group of data was used for exploratory factor analysis and the second one was employed for confirmatory factor analysis. As a result, 45 problems showing nine factors were extracted. The cognitive components of creativity includes divergent thinking, convergent thinking, imagination/visualization, and reasoning, whereas its affective components are interest, motivation, and openness. The character components contain participation, communication, responsibility, and promise. In addition, it is concluded that the developed testing tool, in which character in the model of this study impacts creativity meaningfully, has a measurement consistency which is not affected by gender and grade differences. These results have implications for a guide to curriculum development promoting creativity and character at school by showing objective and practical foundations of helping how to integrate creativity and character education.

A Study on Intuitive Model in Mathematics Education (수학교육에서 직관적 모델에 관한 연구)

  • 이대현
    • Journal of Educational Research in Mathematics
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    • v.11 no.1
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    • pp.113-121
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    • 2001
  • The purpose of this paper is to investigate the significance and the role of intuitive model and the example of its development. Intuitive model is the tools of intuition in mathematics and the sources for the creative learning mathematics. It consists of the analogical model, paradigmatic model and diagrammatic model. Intuitive model must have a number features in order to be really useful as heuristic devices. It must present a high degree of natural, consistent and structural correspondence with the original. It must also correspond to human information processing characteristics and enjoy a relative autonomy with respect to the original. Sometimes, the difficulty in teaming mathematics stems from the abstractive characteristics of mathematics. So, we have to assist students' learning using the intuitive model that reveals the concrete representation and various changes of mathematical concepts, rules and principles.

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Research And Improve Agile Development Methods Based On Teamwork (팀워크 바탕으로 애자일 개발방법의 개선연구)

  • Xiang, Chen;Kim, Byungki
    • KIPS Transactions on Software and Data Engineering
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    • v.2 no.5
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    • pp.303-310
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    • 2013
  • Agile software development methodology is a lightweight software development method, plays an important role in the software development team. In this paper, we propose programs that in when agile development co-operation, team management, team collaboration and project management tasks can be high efficiency and allocation of human resources. The proposed model, the use of 6-Sigma priority assignment, established a mathematical model of the operation and distribution of human resources is the most reasonable people go to work. Cooperation makes team-based agile development can improve efficiency. This method improve staff efficiency by teamwork to improve the productivity of software development.

Development of Pulse Wave Analysis Model with Skin Effect (손목의 피부특성을 고려한 맥상파 해석모델 개발)

  • Shin, Sang-Hoon
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.15 no.2
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    • pp.159-168
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    • 2011
  • Objectives: The purpose of this study is to develop the pulse wave analysis model with the palpation pressure and the skin effect. Methods: The position of pulse diagnosis was modeled with elastic string system. The skin was modeled with the elastic string, the palpation pressure with tension in the string, and the blood vessel pressure with external force on the string. Using the wave equation in the physics, the simplified pulse model was transformed to the mathematical model. Results: To the verification of the model, the effects of the palpation pressure and the skin effect were tested. Conclusions: There was optimal palpation pressure, describing the exact vessel pressure pattern and maximizing the amplitude of the skin displacement. For the optimal condition, the increased palpation pressure was needed with the increased skin thickness. Therefore, the developed pulse wave analysis model showed the good results.

Model Development for Lactic Acid Fermentation and Parameter Optimization Using Genetic Algorithm

  • LIN , JIAN-QIANG;LEE, SANG-MOK;KOO, YOON-MO
    • Journal of Microbiology and Biotechnology
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    • v.14 no.6
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    • pp.1163-1169
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    • 2004
  • An unstructured mathematical model is presented for lactic acid fermentation based on the energy balance. The proposed model reflects the energy metabolic state and then predicts the cell growth, lactic acid production, and glucose consumption rates by relating the above rates with the energy metabolic rate. Fermentation experiments were conducted under various initial lactic acid concentrations of 0, 30, 50, 70, and 90 g/l. Also, a genetic algorithm was used for further optimization of the model parameters and included the operations of coding, initialization, hybridization, mutation, decoding, fitness calculation, selection, and reproduction exerted on individuals (or chromosomes) in a population. The simulation results showed a good fit between the model prediction and the experimental data. The genetic algorithm proved to be useful for model parameter optimization, suggesting wider applications in the field of biological engineering.

A Study on Aggregate Particle Packing Models for Development of DEM based Model (DEM을 이용한 골재다짐모형 개발을 위한 기존 모형 분석)

  • Yun, Tae Young;Kim, Ki Hyun;Yoo, Pyeong Jun;Kim, Yeon Bok
    • International Journal of Highway Engineering
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    • v.15 no.5
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    • pp.31-45
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    • 2013
  • PURPOSES : Determination of particle packing model variables that can be used for formulation of new DEM based particle packing model by examining existing particle packing models METHODS : Existing particle packing models are thoroughly examined by analytical reformulation and sensitivity analysis in order to set up DEM based new particle packing model and to determine its variables. All model equations considered in this examination are represented with consistent expressions and are compared to each others to find mathematical and conceptual similarity in expressions. RESULTS : From the examination of existing models, it is observed that the models are very similar in their shapes although the derivation of the models may be different. As well, it is observed that variables used in some existing models are comprehensive enough to estimate particle packing but not applicable to DEM simulation. CONCLUSIONS : A set of variables that can be used in DEM based particle packing model is determined.

A Study on urban runoff by deter ministic simulation techniques. (확정론적 모의기법에 의한 도시유출 해석에 관한 연구)

  • 이은영;강관원
    • Water for future
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    • v.15 no.3
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    • pp.37-47
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    • 1982
  • In the past, the design flow of the urban storm drainage systems has been used largely on a basis of empirical and experience, and the rational formula one of empirical method has been widely used for our country, as well as world wide. But the empirical method has insufficient factor because minimal consideration is given to the relationship of the parameters in the equation to the processes being considered, and considerable use of experience and judgment in setting values to the coefficients in the equation is made. The postcomputer era of hydrology has brought an acceleration development of mathematical methods, thus mathematical models are methods which will greatly increase our understanding in hydrology. On this study, a simple mathematical model of urban presented by British Road Research Laboratory is tested on urban watersheds in Ju An Ju Gong Apartment. The basin is located in Kan Seog Dong, Inchon. The model produces a runoff hydrograph by applying rain all to only the directly connected impervious area of the basin. To apply this model the basin is divided into contributing areas or subbasins. With this information the time area for contributing is derived. The rainfall hyetograph to design storm for the basin flow has been obtained by determination of total rainfall and the temporal distribution of that rainfall determined on the basis of Huff's method form historical rainfall data of the basin. The inflows from several subbaisns are successively routed down the network of reaches from the upstream end to the outlet. A simple storage routing technique is used which involves the use of the Manning equation to compute the stage discharge curve for the cross-section in question. To apply the model to a basin, the pattern of impervious areas must be known in detail, as well as the slopes and sizes of all surface and subsurface drains.

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The Developmental Study of Mathematics Textbook Model Based on Storytelling for 2nd Grade in Middle School (중학교 2학년 스토리텔링 모델 수학교과서 개발 및 적용)

  • Lee, Jae Hak;Suh, Boeuk;Kwon, Young Cheol;Shin, Hyun Yong;Lee, Kyung Eon;Lee, Geun Suk;Jun, Youn Bae
    • Communications of Mathematical Education
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    • v.27 no.3
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    • pp.321-339
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    • 2013
  • This study is basic research about actualizing mathematical teaching and learning based on storytelling that is raised for reforming school mathematics education. We have developed mathematics textbook model for 2nd grade in middle school based on storytelling. It was applied in the middle school classroom and the results were analyzed. In order to develop the mathematics textbook model, the procedures and methods of development were extracted from the literature. And mathematics textbook model was developed in accordance with the process and methods. To apply it in school 20 hours of instruction were carried out. For the analysis of the results, we conducted a questionnaire survey, the teachers' interview, the affective test and math anxiety test. Through the results of this study, we will be able to check the possibility of storytelling in mathematics class. And it will be also the foundation of mathematics teaching and learning based on storytelling in middle school.

Development of The Design Principles for Engineering Mathematics Teaching Model for Improving Students' Collaborative Problem Solving Abilities In College (협력적 문제해결능력 신장을 위한 공학수학 수업모형의 설계원리 개발)

  • Chung, Ae-Kyung;Yi, Sang-Hoi;Hong, Yu-Na;Kim, Neung-Yeun
    • 전자공학회논문지 IE
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    • v.48 no.1
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    • pp.36-44
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    • 2011
  • The purpose of this study was to develop the basic design principles for the engineering mathematics teaching model that supported college students to become collaborative problem solvers. For this purpose, the following four design principles were drawn from the steps of systems approach, especially with consideration of needs of engineering students, professors, curriculum and relevant research on mathematical education. As a result, the four design principles for the engineeering mathematics teaching model were drawn as follows: (1) Improve students' basic mathematical learning abilities through repetition and elaborative practice of the basic mathematical concepts and principles, (2) Develop students' problem solving abilities through collaborative projects or learning activities with peers, (3) Facilitate students' reflection and provide teacher's monitoring and prompt feedback during their learning process, and (4) Build up online learning environments that enable students to become self-regulated learners.

Development a Model for 'Factor Analysis of Inequality on Mathematics' and Inequality of Secondary Mathematics (중등 수학교육에서의 불평등 요인 분석)

  • Lee, Kang-Sup;Park, Yong-Beom
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.303-320
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    • 2007
  • The purpose of this study is to develop a tool which can be used in factor analysis of inequality on mathematics scholastic achievement. The objectives for study are as follows: First, we develop a model for 'factor analysis of inequality on mathematics scholastic achievement' transformed from Persell's 'A model for factor analysis of inequality on education'. Second, we analyze the inequality factors with the deviation index of objects on mathematics scholastic achievement that we have developed. The results of this study are as follows: We development a model for 'factor analysis of inequality on Mathematics' and inequality factors on mathematics scholastic achievement in secondary schools are private education, scholarships of parents, region, sex and school system. The factors most influenced in mathematics scholastic achievement are economic standings of household, scholarships of parents and private educations in order.

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