| Modeling Dynamic Systems Section 6 |
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Author(s):
Diana Fisher |
Subject:
System Dynamics |
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In the classroom example provided in this section, the author lists many "potential systems problems" that are related to the issue of overpopulation. As an extension exercise, students can be asked to identify ways in which people have attempted to solve these related problems. Did the solutions address the underlying population issue in any way? Were they successful interventions? In complex systems, proposed solutions that do not recognize and address the underlying dynamics that need to be changed are low-leverage policies; they usually fail to achieve any significant change in the overall behavior of the system. Students can be asked to undertake a similar analysis in their own investigation of a news story. |
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 PDF
Link to the simulation: http://www.iseesystems.com
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| Modeling Dynamic Systems Section 10 |
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Author(s):
Diana Fisher |
Subject:
System Dynamics |
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There are several characteristics of complex systems that can be discussed with students during these lessons. The fictitious city seems to face a dilemma; the tanning industry provides needed jobs in the present, but water pollution can cause serious detrimental effects over the long term. This is closely coupled with the idea that cause and effect in complex systems are often separated by time and space.
In the case of pollution, contamination can take decades to produce measurable effects. In the meantime, the range of impact can spread far from the initial source via transport in water, wind, etc. Finally, the lesson mentions that tanning has been outsourced from this country to developing countries; a classic case of "shifting the burden." Rather than allowing the true costs of tanning to be reflected in the prices of the finished goods, the industry itself escapes pressure to reform by sending the negative consequences to other, less regulated countries. |
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PDF
Link to the simulation: http://www.iseesystems.com
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| Mistakes Made in the Early Years Teaching Students and Teachers to Create System Models |
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Author(s):
Diana Fisher |
Subject:
Implementation |
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From CC-STADUS/CC-SUSTAIN. Presented at the 16th International Conference of the System Dynamics Society in Quebec '98. The mistakes the author made on the journey to teach herself, her students, and other teachers to create STELLA models to study dynamic phenomenon. Some mistakes relate to classroom experiences and others relate to team teaching experiences. |
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PDF
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| Linear Systems Using STELLA |
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Author(s):
Diana M. Fisher |
Subject:
Math |
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From CC-STADUS. Semi-complex STELLA tutorial. Involves train robbery, Star Trek, and camping. |
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PDF
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| Linear Models in STELLA |
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Author(s):
Diana M. Fisher, & Rogers |
Subject:
Math |
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From CC-STADUS. Introductory tutorial exercises using STELLA II for high school math. Involves distance, car depreciation and jumping out of an airplane. |
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 Zipped (Models & PDF)
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| 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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