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Lessons in Mathematics Section 9: Appendix
Author(s): Diana M. Fisher Subject: Math
  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.
  More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
Lessons in Mathematics: A Dynamic Approach
Author(s): Diana M. Fisher Subject: Math
  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.
  More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx
Living Lands — Forest and Town Simulation
Author(s): Anne LaVigne, & Jen Andersen Subject: Cross-Curricular
  This lesson with multi-user simulation explores the management of a national forest and its surrounding towns. Student teams log in and make decisions for a local town or for the surrounding forest that has a large level of accumulated fuel. The decisions of individual teams impact all other teams. Damage from potentially catastrophic fires looms, and students must try to manage the situation to protect the area, both now and into the future.
 
Model Mysteries: An Exploration of Vampires, Zombies, and Other Fantastic Scenarios to Make the World a Better Place
Author(s): Anne LaVigne, & Lees Stuntz Subject: Cross-Curricular
  This book contains six main chapters, each with a new mystery to solve. Each chapter has a number of similar stories to try, depending on your interest. The modeling activities are intended for students from ages 10 to 110. In other words, if you’re interested in thinking about how to solve mysteries and like the idea of creating computer models and applying them to real-world problems, this book is for you. You can use it independently as a student, work with a group of students, or if you’re a teacher, share it with interested students to complete a guided or independent study project. In addition to the main chapters, Chapter 7 provides an extension to build additional capacity in modeling, and Chapter 8 includes next steps, additional resources, and information about modeling software. You can also reference the appendices for details about completing the chapter mysteries.
 
Modeling Dynamic Systems Section 10
Author(s): Diana Fisher Subject: System Dynamics
  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.
  PDF

Link to the simulation: http://www.iseesystems.com
Modeling Dynamic Systems Section 6
Author(s): Diana Fisher Subject: System Dynamics
  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.
  PDF

Link to the simulation: http://www.iseesystems.com
Modeling Dynamic Systems Section 7
Author(s): Diana Fisher Subject: System Dynamics
  The dynamics of epidemics can be used to impart an intuitive understanding of what it means to say a policy has "high leverage." Students can be tasked with conducting policy analysis to determine the leverage points in preventing an infectious illness from becoming an epidemic. Along the way they will learn why well-intensioned but low-leverage policies in real life often fail to have the desired effects in complex systems. For some illness/disease, symptoms appear long after initial infection. Sometimes people travel great distance while infected because they are unaware of the infection. Medical "detectives" faced with an epidemic must understand how the infection spreads and how quickly. Delays in the system make this more difficult.
  Link to the file: http://www.iseesystems.com
Modeling Dynamic Systems Section 8
Author(s): Diana Fisher Subject: System Dynamics
  Policy analysis gives students an opportunity to learn first-hand that complex systems are rich in feedback. They will experience the frustration of implementing well-meaning interventions, only to have them defeated by the feedback mechanisms of the system itself. They will learn why some policies have more leverage than others, and why those policies are often the most difficult to implement correctly in real life.
  PDF

Link to the simulation: http://www.iseesystems.com
Modeling Dynamic Systems Section 9
Author(s): Diana Fisher Subject: System Dynamics
  Supply chain dynamics are useful for illustrating the complex system characteristic that cause and effect are often separated by both time and space. Supply chains are often global, with decisions taken today causing impacts into the future and across national boundaries. The lessons of this section can also be used in conjunction with the Oscillations curriculum, particularly the lesson on commodity cycles, to illustate that the cause of a problem is within the system.
  PDF

Link to the simulation: http://www.iseesystems.com
Modeling Your Future
Author(s): Bob Allnutt, J. Harvester, & J. Miller Subject: Cross-Curricular
  From CC-STADUS. A STELLA Model for use in the classroom; explores education-income dynamics.

Complex Systems Connection: Short/Long Term Conflicts. Managing money, in personal finances or in running a business, often involves setting both short-term and long-term goals. Sometimes goals are in conflict between these timeframes, such as spending now versus saving/investing for future financial well-being. This also applies to choosing to spend time on education early in life for the opportunity to earn a higher income later. This simulation helps students explore the long-range implications of choices they make now.
  Zipped (Models & PDF)
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