Shape of Change (Lesson 7): The Tree Game Puzzle, including Stocks and Flows |
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Author(s):
Rob Quaden, Alan Ticotsky, & Debra Lyneis |
Subject:
Cross-Curricular |
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From "The Shape of Change." This puzzle is an extension of the Tree Game. After playing the Tree Game, students explore what happens to the number of trees in a forest following a variety of planting and harvesting policies. In the Stocks and Flows lesson, students begin to learn to clarify their thinking, and experience the power of making stock/flow maps.
Complex Systems Connection: Short and Long Term Conflicts, Cause within System. People sometimes decide to use natural resources to meet present goals (satisfy customers, increase profits) and ignore long-term consequences. In systems where renewable resources are used up, people often blame others. Decisions to use the resource faster than it can be replenished is the real cause, however. |
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Shape of Change (Lesson 6): The Tree Game, including Stocks and Flows |
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Author(s):
Rob Quaden, Alan Ticotsky, & Debra Lyneis |
Subject:
Cross-Curricular |
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From "The Shape of Change." Students explore what happens to the number of trees in a forest over time as a forester plants and harvests each year. With the included Stocks and Flows lesson, they gain experience anticipating and observing how a stock changes with different inflow and outflow rates.
Complex Systems Connection: Cause within System, Short and Long Term Conflicts. People sometimes decide to use natural resources to meet present goals (satisfy customers, increase profits) and ignore long-term consequences. In systems where renewable resources are used up, people often blame others. Decisions to use the resource faster than it can be replenished is the real cause, however. |
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Shape of Change (Lesson 5): The Infection Game, including Stocks and Flows |
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Author(s):
Rob Quaden, Alan Ticotsky, & Debra Lyneis |
Subject:
Cross-Curricular |
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From "The Shape of Change." Students play a game that simulates the spread of an epidemic. The included Infection Game stock/flow map combines all the elements that were used in the previous lessons. Students apply all that they have learned about behavior over time graphs, stocks and flows, and reinforcing and balancing feedback loops to understand how and why the infection spread among them.
Complex Systems Connection: Separate Cause and Effect. 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. |
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Shape of Change (Lesson 4): It's Cool, including Stocks and Flows |
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Author(s):
Rob Quaden, Alan Ticotsky, & Debra Lyneis |
Subject:
Cross-Curricular |
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From "The Shape of Change." Students engage in the scientific method as they measure, record, and graph the changing temperature of a cooling cup of boiling water, learning why the change happens with the use of stock/flow diagrams. |
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Shape of Change (Lesson 3): The Mammoth Game, including Stocks and Flows |
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Author(s):
Rob Quaden, Alan Ticotsky, & Debra Lyneis |
Subject:
Cross-Curricular |
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From "The Shape of Change." Teams of students play a dice and graphing game to track the population growth and decline of a herd of twenty mammoths, including learning why change occurs by means of stock/flow diagrams. |
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Shape of Change (Lesson 2): Making Friends, including Stocks and Flows |
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Author(s):
Rob Quaden, Alan Ticotsky , & Debra Lyneis |
Subject:
Cross-Curricular |
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From "The Shape of Change." A non-competitive tagging game, wherein students track the rate of growth of friendship and discover the effect of rates of growth, including showing why change occurs by means of stock/flow diagrams. |
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Shape of Change (Lesson 1): In and Out Game, including Stocks and Flows |
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Author(s):
Rob Quaden, Alan Ticotsky, & Debra Lyneis |
Subject:
Cross-Curricular |
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From "The Shape of Change" including "The Shape of Change: Stocks and Flows." A simple activity that introduces and reinforces the understanding of change over time, including the use of stock/flow diagrams that show why the change happens. |
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Seamless Integration of System Dynamics into High School Mathematics: Algebra, Calculus, Modeling Courses |
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Author(s):
Diana Fisher, & Ron Zaraza |
Subject:
Implementation |
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From CC-STADUS. A report on the introduction of system dynamics concepts into the mathematics curricula, including sample models. |
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Retire Rich App - Mini Lesson |
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Author(s):
Anne LaVigne |
Subject:
Cross-Curricular |
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Retire Rich is a free, engaging, easy-to-use app for students and others to explore the implications of different plans to save for retirement. Students can change annual savings, interest rates, and the timing of saving to see what happens over the course of a lifetime. |
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Population Planner App - Mini Lesson |
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Author(s):
Anne LaVigne |
Subject:
Cross-Curricular |
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Population Planner is a free, engaging, easy-to-use app for students and others to explore how populations can grow or decline over time.
http://www.clexchange.org/curriculum/apps/ Students can change the initial population, death rate, and birth rate to see what happens over 100 years. |
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