Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. This book aims to encourage teachers to provide opportunities for students to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education. Habits, misconceptions, and mindsets about mathematics can present obstacles to university students’ acceptance of a ‘‘models-and-modelling perspective’’ at this stage of mathematics education. Without prior experience in building, interpreting and applying mathematical models, many students may never come to view and regard modelling as a way of life. The book records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003. Examines mathematical modelling as a way of life, referring to habits of mind and dependence on the power of mathematics to describe, explain, predict and control real phenomena Encourages teachers to provide students with opportunities to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education Records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003
Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields.
Highly useful volume discusses the types of models, how to formulate and manipulate them for best results. Numerous examples.
2 Gregory F. Lawler and Lester N. Coyle, Lectures on contemporary probability, 1999 1 Charles Radin, Miles of tiles, 1999 Mathematical modelling is a subject without boundaries. It is the TITLES IN THIS SERIES.
Can you find a circuit that covers every block exactly once (no deadheading)? If not can you explain why not? ... How does this bear upon Exercises 5 and 6? the number of edges to be added which duplicate e,-.
Each Chapter Of The Book Deals With Mathematical Modelling Through One Or More Specified Techniques.
This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject.
Assuming virtually no prior knowledge, Modular Mathematics encourages the reader to develop and solve real models, as well as looking at traditional examples.
The building of conceptual models is an inherent part of our interaction with the world, and the foundation of scientific investigation.
In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers.
Recent models have demonstrated that the range of a species can nevertheless end abruptly in such situations if there is a tradeoff between individual performance in different habitats (García Ramos and Kirkpatrick 1997; Holt 2003; ...