| Lessons in Mathematics: A Dynamic Approach |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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The abstractness of a traditional approach to mathematics causes many students to falter. This book focuses on making the abstractness more concrete with interesting and fun lessons. It uses STELLA software's icon-based, non-abstract language to structure problems in ways that students can easily visualize. Students use the software's simulation capabilities to explore solutions to the problems. Some sections can be used as building blocks to understand the behavior of complex systems, while others illustrate one or more characteristics of complex systems. Available from iseesystems. |
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More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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| Lessons in Mathematics Section 9: Appendix |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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This book provides a set of tools that enables educators to teach mathematics using the framework of System Dynamics. Section 9 is a useful reference for all lessons in the book. Included are generic modeling structures, a summary of motion, distance-velocity-acceleration graphs and examples of differential equations with their growth patterns. Available from iseesystems. |
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More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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| Lessons in Mathematics Section 8: Miscellaneous Topics |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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This book provides a set of tools that enables educators to teach mathematics using the framework of System Dynamics. Section 8 presents a natural extension of linear and exponential growth study - arithmetic and geometric sequences. Application to an age-specific population is also included. Available from iseesystems. |
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More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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| Lessons in Mathematics Section 7: Differential Equations |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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This book provides a set of tools that enables educators to teach mathematics using the framework of System Dynamics. Section 7 builds on the skills of Sections 5 and 6 using classic problems studied with differential equations. Exponential, convergent and logistic models are presented using examples from contagious disease, the path of lead through the body and predator-prey interactions. This section also compares the numerical derivation of Euler's Method to a corresponding version in STELLA.
Complex Systems Connection: Cause within System. The lessons in this section can be used as building blocks for the Oscillations curriculum that illustrates "the cause of the problem is within the system." Available from iseesystems. |
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 PDF
More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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| Lessons in Mathematics Section 6: Convergent and Logistic Behavior |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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This book provides a set of tools that enables educators to teach mathematics using the framework of System Dynamics. Section 6 takes students through the steps from exponential to convergent to logistic models, culminating with an application to a system of deer and vegetation.
Complex Systems Connection: Cause within System. The lessons in this section can be used as building blocks for the Oscillations curriculum that illustrates "the cause of the problem is within the system." |
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PDF
More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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| Lessons in Mathematics Section 5: Oscillatory Behavior |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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This book provides a set of tools that enables educators to teach mathematics using the framework of System Dynamics. Section 5 covers sinusoidal functions, including simple harmonic motion. Distance versus time lessons using a motion detector are also included, as are lessons on predator-prey systems.
Complex Systems Connection: Cause within System. The lessons in this section can be used as building blocks for the Oscillations curriculum that illustrates "the cause of the problem is within the system." |
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PDF
More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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| Lessons in Mathematics Section 4: Review |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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This book provides a set of tools that enables educators to teach mathematics using the framework of System Dynamics. Section 4 reviews previous concepts, combines model structures to solve new problems and extends problems from previous lessons. Available from iseesystems. |
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More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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| Lessons in Mathematics Section 3: Exponential Behavior |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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This book provides a set of tools that enables educators to teach mathematics using the framework of System Dynamics. Section 3 covers the theory of finite differences for exponential functions. Students build models of many processes, including bacteria growth, drug elimination from the body and compounding interest, among others. |
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More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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| Lessons in Mathematics Section 2: Quadratic Behavior |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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This book provides a set of tools that enables educators to teach mathematics using the framework of System Dynamics. Section 2 on quadratic behavior covers the theory of finite differences and distance-time and position-time exercises using a motion detector. Available from iseesystems. |
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More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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| Lessons in Mathematics Section 1: Linear Behavior |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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This book provides a set of tools that enables educators to teach mathematics using the framework of System Dynamics. Section 1 on linear motion covers the theory of finite differences and distance-time and position-time exercises using a motion detector. Available from iseesystems. |
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More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
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