Lessons in Mathematics Section 7: Differential Equations 

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 7 builds on the skills of Sections 5 and 6 using classic problems studied with differential equations. Exponential, convergent an 

PDF
More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx

Lessons in Mathematics Section 6: Convergent and Logistic Behavior 

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 6 takes students through the steps from exponential to convergent to logistic models, culminating with an application to a system 

PDF
More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx

Lessons in Mathematics Section 5: Oscillatory Behavior 

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 5 covers sinusoidal functions, including simple harmonic motion. Distance versus time lessons using a motion detector are also in 

PDF
More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx

Lessons in Mathematics Section 4: Review 

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 4 reviews previous concepts, combines model structures to solve new problems and extends problems from previous lessons. Availab 

More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx

Lessons in Mathematics Section 3: Exponential Behavior 

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 3 covers the theory of finite differences for exponential functions. Students build models of many processes, including bacteria 

More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx

Lessons in Mathematics Section 2: Quadratic Behavior 

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 2 on quadratic behavior covers the theory of finite differences and distancetime and positiontime exercises using a motion dete 

More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx

Lessons in Mathematics Section 1: Linear Behavior 

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 1 on linear motion covers the theory of finite differences and distancetime and positiontime exercises using a motion detector. 

More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx

Lessons in Mathematics Section 0: Overview 

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 0 covers basic skills in representing equations using a visual modeling tool, the STELLA software. Available from iseesystems. 

More about the book at: http://www.iseesystems.com/store/college_university/MathBook.aspx

Lessons from The Lorax: Using Graphs to Study Change 

Author(s):
Rob Quaden, & Alan Ticotsky 
Subject:
CrossCurricular 

In this lesson, students read The Lorax and draw graphs to illustrate the changes that happen over the course of the story. Using simply stated questions, readers grapple with the complex themes in the book and movie. Students will investigate how cycles compete for dominance, and think about how the needs of business and natural resources can collide.
Complex Systems Connection: Separate Cause and Effect, Short and Long Term Conflicts.
Shortterm focus on making money results in depletion of resource and environmental degradation over time and the collapse of the business. Actions and consequences are separated by time. 

PDF

Infection Game For Primary Students (Grades K3) 

Author(s):
Anne LaVigne, & Lindsey Buckler 
Subject:
CrossCurricular 

This lesson is similar to the “The Infection Game” lesson in The Shape of Change. The activity rules are modified for younger children who do not know the concept of multiplication. The handouts and debrief questions are aimed at younger students. In addition, a simple online simulation is available as an extension. Students explore what happens to the number of people “infected” over time. Infections can include the spread of an illness, the spread of a good idea, or the spread of kindness. 

Zipped (Models & PDF)
Link to the simulation: http://www.clexchange.org/curriculum/shapeofchange/soc_5_Infection.asp
