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Modeling and Simulation in Science and Mathematics Education

Modeling and Simulation in Science and Mathematics Education
Author: Wallace Feurzeig
Publisher: Springer Science & Business Media
Total Pages: 352
Release: 2012-12-06
Genre: Computers
ISBN: 1461214149

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This book/software package brings the tools and excitement of modeling to pre-college teachers, to researchers involved in curriculum development, and to software developers interested in the pre-college market.


Introduction to Computational Science

Introduction to Computational Science
Author: Angela B. Shiflet
Publisher: Princeton University Press
Total Pages: 857
Release: 2014-03-30
Genre: Computers
ISBN: 140085055X

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The essential introduction to computational science—now fully updated and expanded Computational science is an exciting new field at the intersection of the sciences, computer science, and mathematics because much scientific investigation now involves computing as well as theory and experiment. This textbook provides students with a versatile and accessible introduction to the subject. It assumes only a background in high school algebra, enables instructors to follow tailored pathways through the material, and is the only textbook of its kind designed specifically for an introductory course in the computational science and engineering curriculum. While the text itself is generic, an accompanying website offers tutorials and files in a variety of software packages. This fully updated and expanded edition features two new chapters on agent-based simulations and modeling with matrices, ten new project modules, and an additional module on diffusion. Besides increased treatment of high-performance computing and its applications, the book also includes additional quick review questions with answers, exercises, and individual and team projects. The only introductory textbook of its kind—now fully updated and expanded Features two new chapters on agent-based simulations and modeling with matrices Increased coverage of high-performance computing and its applications Includes additional modules, review questions, exercises, and projects An online instructor's manual with exercise answers, selected project solutions, and a test bank and solutions (available only to professors) An online illustration package is available to professors


Mathematical Modeling and Simulation

Mathematical Modeling and Simulation
Author: Kai Velten
Publisher: John Wiley & Sons
Total Pages: 362
Release: 2009-06-01
Genre: Science
ISBN: 3527627618

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This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).


Simulation and Gaming for Mathematical Education: Epistemology and Teaching Strategies

Simulation and Gaming for Mathematical Education: Epistemology and Teaching Strategies
Author: Piu, Angela
Publisher: IGI Global
Total Pages: 256
Release: 2010-08-31
Genre: Education
ISBN: 1605669318

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Simulation and Gaming for Mathematical Education: Epistemology and Teaching Strategies provides leading research on ways for various learning environments to be created referring to math didactics through redefinition and reassessment of teaching experiences.


Modeling and Simulation in the Medical and Health Sciences

Modeling and Simulation in the Medical and Health Sciences
Author: John A. Sokolowski
Publisher: John Wiley & Sons
Total Pages: 270
Release: 2012-01-25
Genre: Mathematics
ISBN: 1118003195

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This edited book is divided into three parts: Fundamentals of Medical and Health Sciences Modeling and Simulation introduces modeling and simulation in the medical and health sciences; Medical and Health Sciences Models provides the theoretical underpinnings of medical and health sciences modeling; and Modeling and Simulation Applications in Medical and Health Sciences focuses on teaching, training, and research applications. The book begins with a general discussion of modeling and simulation from the modeling and simulation discipline perspective. This discussion grounds the reader in common terminology. It also relates this terminology to concepts found in the medical and health care (MHC) area to help bridge the gap between developers and MHC practitioners. Three distinct modes of modeling and simulation are described: live, constructive, and virtual. The live approach explains the concept of using real (live) people employing real equipment for training purposes. The constructive mode is a means of engaging medical modeling and simulation. In constructive simulation, simulated people and simulated equipment are developed to augment real-world conditions for training or experimentation purposes. The virtual mode is perhaps the most fascinating as virtual operating rooms and synthetic training environments are being produced for practitioners and educators at break-neck speed. In this mode, real people are employing simulated equipment to improve physical skills and decision-making ability.


Modeling Students' Mathematical Modeling Competencies

Modeling Students' Mathematical Modeling Competencies
Author: Richard Lesh
Publisher: Springer Science & Business Media
Total Pages: 635
Release: 2013-03-17
Genre: Education
ISBN: 9400762712

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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.


Mathematical Modeling and Computer Simulation

Mathematical Modeling and Computer Simulation
Author: Daniel P. Maki
Publisher: Cengage Learning
Total Pages: 312
Release: 2006
Genre: Computers
ISBN:

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Daniel Maki and Maynard Thompson provide a conceptual framework for the process of building and using mathematical models, illustrating the uses of mathematical and computer models in a variety of situations.


Reconstructing Reality

Reconstructing Reality
Author: Margaret Morrison
Publisher: Oxford Studies in Philosophy o
Total Pages: 345
Release: 2015
Genre: Mathematics
ISBN: 0199380279

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This text examines issues related to the way modelling and simulation enable us to reconstruct aspects of the world we are investigating. It also investigates the processes by which we extract concrete knowledge from those reconstructions and how that knowledge is legitimated.


Simulation and Learning

Simulation and Learning
Author: Franco Landriscina
Publisher: Springer Science & Business Media
Total Pages: 250
Release: 2013-03-14
Genre: Education
ISBN: 1461419549

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The main idea of this book is that to comprehend the instructional potential of simulation and to design effective simulation-based learning environments, one has to consider both what happens inside the computer and inside the students' minds. The framework adopted to do this is model-centered learning, in which simulation is seen as particularly effective when learning requires a restructuring of the individual mental models of the students, as in conceptual change. Mental models are by themeselves simulations, and thus simulation models can extend our biological capacity to carry out simulative reasoning. For this reason, recent approaches in cognitive science like embodied cognition and the extended mind hypothesis are also considered in the book.. A conceptual model called the “epistemic simulation cycle” is proposed as a blueprint for the comprehension of the cognitive activies involved in simulation-based learning and for instructional design.


Modelling and Applications in Mathematics Education

Modelling and Applications in Mathematics Education
Author: Peter L. Galbraith
Publisher: Springer Science & Business Media
Total Pages: 524
Release: 2007-12-05
Genre: Education
ISBN: 0387298223

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The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.