• Title/Summary/Keyword: teaching modeling

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Developing Mathematics Creativity with Spreadsheets

  • Deane Arganbright
    • Research in Mathematical Education
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    • v.9 no.3 s.23
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    • pp.187-201
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    • 2005
  • The spreadsheet Microsoft Excel is the most widely used mathematical tool in today's workplace. Moreover, it is also an outstanding means for developing a surprisingly wide range of creative and innovative educational uses within such areas as mathematical modeling, visualization, and instruction. The spreadsheet's format provides us with a tool that closely parallels the way in which we naturally carry out problem solving, while the spreadsheet creation process itself illuminates the underlying mathematical concepts. In addition, the spreadsheet's visual layout allows us to introduce a broad variety of challenging and interesting topics, and to design creative demonstrations through eye-catching animated graphics. The material presented comes from actual classroom mathematics teaching experience in both industrially advanced and developing nations. A series of highly visual interactive illustrations from mathematics, the natural and social sciences, computing, engineering, and the arts provide a number of usable examples. The material discussed is applicable at diverse levels, ranging from schools and universities through adult education and in-service teacher development programs.

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Pedagogical Issues of Performance Oriented Digital Design - Focused on Kinetic Facade Design - (성능지향적 디지털 설계의 교육방법론 연구 - 키네틱 파사드 설계과정을 중심으로 -)

  • Jang, Do-Jin;Kim, Sung-Ah
    • Journal of KIBIM
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    • v.5 no.1
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    • pp.35-43
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    • 2015
  • Existing pedagogical issues of digital design including BIM have been focused not on potential of Digital Design but on skills of BIM or digital modeling tool. Kinetic facade can move or change material state to react surrounding environment conditions. It is a suitable design object for teaching principle of Performance Oriented Digital Design. Variables of movements affect multi-criteria of performances of kinetic facade, so different design approach from fixed facade design should be explored. Kinetic facade design process is proposed to study pedagogical issues of Performance Oriented Digital Design in this paper. Through Kinetic facade design process, students can understand conditions, variables, and performances of digital design.

A Study of Exploration- Oriented Mathematical Modeling: (탐구지향 수학적 모델링에 관한 연구)

  • 신은주;권오남
    • Journal of Educational Research in Mathematics
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    • v.11 no.1
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    • pp.157-177
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    • 2001
  • Modern society's technological and economical changes require high-level education that involve critical thinking, problem solving, and communication with others. Thus, today's perspective of mathematics and mathematics learning recognizes a potential symbolic relationship between concrete and abstract mathematics. If the problems engage students' interests and aspiration, mathematical problems can serve as a source of their motivation. In addition, if the problems stimulate students'thinking, mathematical problems can also serve as a source of meaning and understanding. From these perspectives, the purpose of my study is to prove that mathematical modeling tasks can provide opportunities for students to attach meanings to mathematical calculations and procedures, and to manipulate symbols so that they may draw out the meanings out of the conclusion to which the symbolic manipulations lead. The review of related literature regarding mathematical modeling and model are performed as a theoretical study. I especially concentrated on the study results of Freudenthal, Fischbein, Lesh, Disessea, Blum, and Niss's model systems. We also investigate the emphasis of mathematising, the classified method of mathematical modeling, and the cognitive nature of mathematical model. And We investigate the purposes of model construction and the instructive meaning of mathematical modeling. In conclusion, we have presented the methods that promote students' effective model construction ability. First, the teaching and the learning begins with problems that reflect reality. Second, if students face problems that have too much or not enough information, they will construct useful models in the process of justifying important conjecture by attempting diverse models. Lastly, the teachers must understand the modeling cycle of the students and evaluate the effectiveness of the models that the students have constructed from their classroom observations, case study, and interaction between the learner and the teacher.

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Exploring Ways to Connect Conceptual Knowledge and Procedural Knowledge in Mathematical Modeling (수학적 모델링 수업에서 개념적 지식과 절차적 지식의 연결 방안 탐색)

  • Lee, Ye-jin;Choi, Mira;Kim, Yoonjung;Lim, Miin
    • Education of Primary School Mathematics
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    • v.26 no.4
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    • pp.349-368
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    • 2023
  • The purpose of this study is to explore ways for students to connect conceptual and procedural knowledge in mathematical modeling lessons. Accordingly, we selected the greatest common divisor among the learning contents in which elementary school students have difficulties connecting conceptual and procedural knowledge. A mathematical modeling lesson was designed and implemented to solve problems related to the greatest common divisor while connecting conceptual and procedural knowledge. As a result of the analysis, it was found that the mathematical modeling lesson had positive effects on students solving problems by connecting conceptual and procedural knowledge. In addition, through actual class application, a teaching and learning plan was derived to meaningfully connect conceptual and procedural knowledge in mathematical modeling lessons.

A Case Study on Children's Informal Knowledge of the Fractional Multiplication (분수의 곱셈에서 비형식적 지식의 형식화 사례 연구)

  • Haek, Sun-Su;Kim, Won-Kyung
    • School Mathematics
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    • v.7 no.2
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    • pp.139-168
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    • 2005
  • The purpose of this study is to investigate children's informal knowledge of the fractional multiplication and to develop a teaching material connecting the informal and the formal knowledge. Six lessons of the pre-teaching material are developed based on literature reviews and administered to the 7 students of the 4th grade in an elementary school. It is shown in these teaching experiments that children's informal knowledge of the fractional multiplication are the direct modeling of using diagram, mathematical thought by informal language, and the representation with operational expression. Further, teaching and learning methods of formalizing children's informal knowledge are obtained as follows. First, the informal knowledge of the repeated sum of the same numbers might be used in (fractional number)$\times$((natural number) and the repeated sum could be expressed simply as in the multiplication of the natural numbers. Second, the semantic meaning of multiplication operator should be understood in (natural number)$\times$((fractional number). Third, the repartitioned units by multiplier have to be recognized as a new units in (unit fractional number)$\times$((unit fractional number). Fourth, the partitioned units should be reconceptualized and the case of disjoint between the denominator in multiplier and the numerator in multiplicand have to be formalized first in (proper fractional number)$\times$(proper fractional number). The above teaching and learning methods are melted in the teaching meterial which is made with corrections and revisions of the pre-teaching meterial.

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Analysis of Preservice Chemistry Teachers' Modelling Ability and Perceptions in Science Writing for Audiences of General Chemistry Experiment Using Argument-based Modeling Strategy (논의-기반 모델링 전략을 이용한 일반화학실험에서 글쓰기 대상에 따른 예비화학교사들의 모델링 능력 및 모델링에 대한 인식 분석)

  • Cho, Hye Sook;Kim, HanYoung;Kang, Eugene;Nam, Jeonghee
    • Journal of the Korean Chemical Society
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    • v.63 no.6
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    • pp.459-472
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    • 2019
  • The purpose of this study was to investigate the effect of science writing for different audiences on preservice chemistry teachers' chemistry concept understanding and modeling ability in general chemistry experiment activities using Argument-based Modeling (AbM) strategy. And we also examined preservice chemistry teachers' perceptions of modeling in different audience groups. The participants of the study were 18 university students in the first grade of preservice chemistry teachers taking a general chemistry experiment course. They completed eleven topics of general chemistry experiment using argument-based modeling strategy. The understanding of chemistry concept was compared with the effect size of pre- and post-chemistry concept test scores. To find out modeling ability, we analyzed level of model by each preservice chemistry teacher. Analytical framework for the modeling ability was composed of three elements, explanation, representation, and communication. The questionnaire was conducted to check up on preservice chemistry teacher's recognition of modeling. The result of analyzing the effect of modeling for different audience on the understanding of chemistry concept and modeling ability, the preservice chemistry teachers' were found to be more effective when the level of audience was low. There was no difference in the recognition of modeling between the groups for audience. However, we could confirm that the responses of preservice chemistry teachers are changed in concrete when they have an experience in succession on modeling.

Construction of a Structural Equation Model on Attitudes to Science Using LISREL (LISREL을 이용한 과학에서의 태도에 관한 구조방정식모델의 구축)

  • Lee, Kyung-Hoon
    • Journal of The Korean Association For Science Education
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    • v.17 no.3
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    • pp.301-311
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    • 1997
  • The purpose of this study is to construct a structural equation model and to analyze causal relationships among variables related to attitudes to science using structural equation modeling(SEM) with LISREL VII. The sample consisted of 483 10th grade boys from a general high school in Pusan, Korea. The questionnaires (ABC-attitude scale: affection, behavioral intention, cognition scale of attitude towards science) were developed by the researcher through a pilot study. And other instruments have modified previous ones. Five instruments were used in this study: GALT(group assessment of logical thinking), MTSlS(modified test of science inquiry skill), ABC-attitude scale, MSAS(modified scientific attitude scale), CSAT(common science achievement test). Structural equation modeling with LISREL VII($J\ddot{o}reskog$ & $S\ddot{o}rbom,$ 1993) was employed to estimate the causal inferences about hypothesized relationships among observed data sets. Three competing models consisted of five latent variable(scientific thinking ability, science inquiry skill, attitude towards science, scientific attitude, science achievement) - lP(inquiry preceding) model, AP(attitude preceding) model and AM(attitude mediating) model - were developed. Among these competing models, IP model satisfied the observed data sets. The causal relationships among "attitudes to science" and other latent variables were reliably identified. According to the results of the present study, science inquiry skill was the most significant variable that can predict science achievement. But scientific thinking ability has not directly influenced science achievement. This study suggests that inquiry based teaching-learning processes should be offered to students for improvement of science achievement. At the same time, it seems to be important to develop positive attitude towards science. Understanding of relationships among variables related to attitudes to science will be helpful to the development of science curriculum and to the design of science teaching and learning process. LISREL has been recognized as a useful approach in testing a SEM. However, in this study, LISREL approach was estimated as much more useful method for research design.

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Analysis of the Structural Relationship among Factors Related to the Effects of Flipped Learning (플립러닝의 학습효과 관련 요인 간의 구조적 관계 분석)

  • Lee, Hee-Suk;Kang, Shin-Cheon;Kim, Chang-Suk
    • The Journal of Korean Association of Computer Education
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    • v.19 no.1
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    • pp.87-100
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    • 2016
  • This study has examined the structural relationship among factors related to the effects of flipped learning using the structural equation modeling. Two hundred thirty-six middle school and high school students were participated in this study. This study's results are as follows. First, looking through how much the flipped learning variables affect achievement, motivation affects achievement the most, and then interaction, participation come next. Second, looking through how much the flipped learning variables affect personality, interaction affect personality the most, and then teaching attitudes come next. Third, as a result of verifying the research model, the hypothetical model indicating relationship among motivation, participation, teaching attitudes, interaction and achievement, personality is valid.

Modeling of an Achievement Evaluation Support System Using Achievement Standards-based Integrated Data Model (성취기준 통합 데이터 모델을 통한 성취평가 지원 시스템 모델링)

  • Chung, Hyunsook;Kim, Jungmin
    • The Journal of Korean Institute of Information Technology
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    • v.16 no.12
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    • pp.115-125
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    • 2018
  • The one of goals of the 2015 revised national curriculum is the successful application of achievement standards-based assessment, which assesses both the results and process of learning, ensuring that all students have achieved the educational objectives, to schools. Therefore, an achievement standards and evaluation support system is required to manage a whole process of teaching and learning based on achievement standards and provide the personalized assessment feedback to students to improve their achievement levels. In this paper, we perform a design of integrated data model and system of teaching plan, subject content, assessment plan, assessment result, and feedback data is required based on an achievement standards repository. In addition, we create a student's dashboard webpage, which representing different types of achievement of the student, and perform the comparative analysis of data models to evaluate the quality of the proposed model.

The Effect of DMM on Learning Motivation and Academic Achievement in SW Education of Non-Major (비전공자의 SW 교육을 위한 시연 중심 모형의 학습동기와 학업성취도 효과)

  • Kang, Yun-Jeong;Won, Dong-Hyun;Park, Hyuk-Gyu;Lee, Min-Hye
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2022.10a
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    • pp.258-260
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    • 2022
  • In order to nurture talents who will lead the digital convergence era of the 4th industrial revolution that creates new knowledge and industries, research is being conducted on teaching methods that can improve the understanding of non-majors' SW concept, computational thinking ability, and convergence with majors is becoming Non-majors face difficulties in understanding and understanding the SW development environment, relevance to their major, and ability to converge. We used software education that is relatively easy to access for non-majors, and applied a demonstration-oriented model (DMM) that can be applied to beginners in SW education to understand the components and logical flow of ideas related to applications and majors used in real life. A convergence SW Learning method that combines repetitive implementation through instructor's demonstration and learner's modeling and learning motivational factors was proposed. In the experiment applying the teaching and learning method proposed in this paper, meaningful results were shown in terms of learning motivation and academic achievement in SW education.

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