Models And Modeling Perspectives
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Models And Modeling Perspectives
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Author : Richard A. Lesh
language : en
Publisher: Routledge
Release Date : 2014-07-16
Models And Modeling Perspectives written by Richard A. Lesh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-16 with Education categories.
This special issue of Mathematical Thinking and Learning describes models and modeling perspectives toward mathematics problem solving, learning, and teaching. The concern is not only the mature forms of models and modeling in communities of scientists and mathematicians, but also the need to initiate students in these forms of thought. The contributions of this issue suggest a variety of ways that students (children through adults) can be introduced to highly productive forms of modeling practices. Collectively, they illustrate how modeling activities often lead to remarkable mathematical achievements by students formerly judged to be too young or too lacking in ability for such sophisticated and powerful forms of mathematical thinking. The papers also illustrate how modeling activities often create productive interdisciplinary niches for mathematical thinking, learning, and problem solving that involve simulations of similar situations that occur when mathematics is useful beyond school.
Beyond Constructivism
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Author : Richard A. Lesh
language : en
Publisher: Routledge
Release Date : 2003-05-01
Beyond Constructivism written by Richard A. Lesh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-01 with Education categories.
This book has two primary goals. On the level of theory development, the book clarifies the nature of an emerging "models and modeling perspective" about teaching, learning, and problem solving in mathematics and science education. On the level of emphasizing practical problems, it clarifies the nature of some of the most important elementary-but-powerful mathematical or scientific understandings and abilities that Americans are likely to need as foundations for success in the present and future technology-based information age. Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching features an innovative Web site housing online appendices for each chapter, designed to supplement the print chapters with digital resources that include example problems, relevant research tools and video clips, as well as transcripts and other samples of students' work: http://tcct.soe.purdue.edu/booksULandULjournals/modelsULandUL modeling/ This is an essential volume for graduate-level courses in mathematics and science education, cognition and learning, and critical and creative thinking, as well as a valuable resource for researchers and practitioners in these areas.
Conceptual Modeling Perspectives
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Author : Jordi Cabot
language : en
Publisher: Springer
Release Date : 2017-10-12
Conceptual Modeling Perspectives written by Jordi Cabot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-12 with Computers categories.
Conceptual modeling has always been one of the main issues in information systems engineering as it aims to describe the general knowledge of the system at an abstract level that facilitates user understanding and software development. This collection of selected papers provides a comprehensive and extremely readable overview of what conceptual modeling is and perspectives on making it more and more relevant in our society. It covers topics like modeling the human genome, blockchain technology, model-driven software development, data integration, and wiki-like repositories and demonstrates the general applicability of conceptual modeling to various problems in diverse domains. Overall, this book is a source of inspiration for everybody in academia working on the vision of creating a strong, fruitful and creative community of conceptual modelers. With this book the editors and authors want to honor Prof. Antoni Olivé for his enormous and ongoing contributions to the conceptual modeling discipline. It was presented to him on the occasion of his keynote at ER 2017 in Valencia, a conference that he has contributed to and supported for over 20 years. Thank you very much to Antoni for so many years of cooperation and friendship.
Beyond Constructivism
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Author : Richard A. Lesh
language : en
Publisher:
Release Date : 2003
Beyond Constructivism written by Richard A. Lesh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Differential Equations
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Author : Robert L. Borrelli
language : en
Publisher: Wiley
Release Date : 2004-01-02
Differential Equations written by Robert L. Borrelli and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-02 with Mathematics categories.
This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. It emphasizes modeling and visualization of solutions throughout. Each chapter introduces a model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach. The authors present the material in a way that's clear and understandable to students at all levels. Throughout the text the authors convey their enthusiasm and excitement for the study of ODEs.
Modeling Students Mathematical Modeling Competencies
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Author : Richard Lesh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-17
Modeling Students Mathematical Modeling Competencies written by Richard Lesh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-17 with Education categories.
Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.
Multiscale Modeling
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Author : Marco A.R. Ferreira
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-17
Multiscale Modeling written by Marco A.R. Ferreira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-17 with Mathematics categories.
This highly useful book contains methodology for the analysis of data that arise from multiscale processes. It brings together a number of recent developments and makes them accessible to a wider audience. Taking a Bayesian approach allows for full accounting of uncertainty, and also addresses the delicate issue of uncertainty at multiple scales. These methods can handle different amounts of prior knowledge at different scales, as often occurs in practice.
A Conceptual Introduction To Modeling
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Author : David W. Britt
language : en
Publisher: Psychology Press
Release Date : 2014-03-05
A Conceptual Introduction To Modeling written by David W. Britt and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Psychology categories.
When seeking to test specific hypotheses in large data sets, social and behavioral scientists often construct models. Although useful in such situations, many phenomena of interest do not occur in large samples and do not lend themselves to precise measurement. In addition, a focus on hypothesis testing can constrict the potential use of models as organizing devices for emerging patterns -- summaries of what we believe we know about the dynamics of situation. This book bridges the gap between "quantitative" and "qualitative" modelers to reconcile the need to impose rigor and to understand the influence of context. Although there are many different uses for models, there is also the realistic possibility of doing credible research without their use. A critical reexamination of the assumptions used in quantitatively-oriented models, however, suggests ways to increase their effectiveness as organizers of both quantitative and qualitative data. Students of methods in psychology, sociology, education, management, social work, and public health -- and their instructors -- are increasingly expected to become familiar with both quantitative and qualitative approaches. Unfortunately, they find few vehicles for communication regarding the implications of overlapping work between the two approaches. Using models as organizing devices for a better dialogue between assumptions and data might facilitate this communication process.
Models And Modeling In The Sciences
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Author : Stephen M. Downes
language : en
Publisher: Routledge
Release Date : 2020-07-09
Models And Modeling In The Sciences written by Stephen M. Downes and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-09 with Philosophy categories.
Biologists, climate scientists, and economists all rely on models to move their work forward. In this book, Stephen M. Downes explores the use of models in these and other fields to introduce readers to the various philosophical issues that arise in scientific modeling. Readers learn that paying attention to models plays a crucial role in appraising scientific work. This book first presents a wide range of models from a number of different scientific disciplines. After assembling some illustrative examples, Downes demonstrates how models shed light on many perennial issues in philosophy of science and in philosophy in general. Reviewing the range of views on how models represent their targets introduces readers to the key issues in debates on representation, not only in science but in the arts as well. Also, standard epistemological questions are cast in new and interesting ways when readers confront the question, "What makes for a good (or bad) model?" All examples from the sciences and positions in the philosophy of science are presented in an accessible manner. The book is suitable for undergraduates with minimal experience in philosophy and an introductory undergraduate experience in science. Key features: The book serves as a highly accessible philosophical introduction to models and modeling in the sciences, presenting all philosophical and scientific issues in a nontechnical manner. Students and other readers learn to practice philosophy of science by starting with clear examples taken directly from the sciences. While not comprehensive, this book introduces the reader to a wide range of views on key issues in the philosophy of science.
Towards A Competence Based View On Models And Modeling In Science Education
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Author : Annette Upmeier zu Belzen
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
Towards A Competence Based View On Models And Modeling In Science Education written by Annette Upmeier zu Belzen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Science categories.
The book takes a closer look at the theoretical and empirical basis for a competence-based view of models and modeling in science learning and science education research. Current thinking about models and modeling is reflected. The focus lies on the development of modeling competence in science education, and on philosophical aspects, including perspectives on nature of science. The book explores, interprets, and discusses models and modeling from the perspective of different theoretical frameworks and empirical results. The extent to which these frameworks can be integrated into a competence-based approach for science education is discussed. In addition, the book provides practical guidance by outlining evidence-based approaches to diagnosing and promoting modeling competence. The aim is to convey a strong understanding of models and modeling for professions such as teacher educators, science education researchers, teachers, and scientists. Different methods for the diagnosis and assessment of modeling competence are presented and discussed with regard to their potential and limitations. The book provides evidence-based ideas about how teachers can be supported in teaching with models and modeling implementing a competence-based approach and, thus, how students can develop their modeling competence. Based on the findings, research challenges for the future are identified.