<span>Mathematical modeling using dynamical systems and partial differential equations is now playing an increasing role in the understanding of complex multi-scale phenomena. Behavior in seemingly different areas such as sociology, economics, and the life sciences can be described by closely relate
Modeling and Simulation in Science and Mathematics Education
β Scribed by Jon Ogborn (auth.), Wallace Feurzeig, Nancy Roberts (eds.)
- Publisher
- Springer-Verlag New York
- Year
- 1999
- Tongue
- English
- Leaves
- 351
- Series
- Modeling Dynamic Systems
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The world consists of many complex systems, ranging from our own bodies to ecosystems to economi~ systems. Despite their diversity, complex systems have many structural and functional features in common that can be effecΒ tively simulated using powerful, user-friendly software. As a result, virtually anyone can explore the nature of complex systems and their dynamical beΒ havior under a range of assumptions and conditions. This ability to model dyΒ namic systems is already having a powerful influence on teaching and studyΒ ing complexity. The books is this series will promote this revolution in "systems thinking" by integrating skills of numeracy and techniques of dynamic modeling into a variety of disciplines. The unifying theme across the series will be the power and simplicity of the model-building process, and all books are designed to engage the reader in developing their own models for exploration of the dyΒ namics of systems that are of interest to them. Modeling Dynamic Systems does not endorse any particular modeling parΒ adigm or software. Rather, the volumes in the series will emphasize simplicΒ ity of learning, expressive power, and the speed of execution as priorities that will facilitate deeper system understanding.
β¦ Table of Contents
Front Matter....Pages i-xviii
Front Matter....Pages 1-4
Modeling Clay for Thinking and Learning....Pages 5-37
Training System Modelers: The NSF CC-STADUS and CC-SUSTAIN Projects....Pages 38-69
Construction of Models to Promote Scientific Understanding....Pages 70-94
A Visual Modeling Tool for Mathematics Experiment and Inquiry....Pages 95-113
Decentralized Modeling and Decentralized Thinking....Pages 114-137
An Object-Based Modeling Tool for Science Inquiry....Pages 138-148
Front Matter....Pages 149-150
GasLabβan Extensible Modeling Toolkit for Connecting Micro-and Macro-properties of Gases....Pages 151-178
Designing Computer Models That Teach....Pages 179-196
Modeling as Inquiry Activity in School Science: Whatβs the Point?....Pages 197-225
Alternative Approaches to Using Modeling and Simulation Tools for Teaching Science....Pages 226-256
Front Matter....Pages 257-258
The Developing Scientist as Craftsperson....Pages 259-281
Multisensory Immersion as a Modeling Environment for Learning Complex Scientific Concepts....Pages 282-319
Conclusion....Pages 320-322
Back Matter....Pages 323-336
β¦ Subjects
Simulation and Modeling
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