modeling with stella maryland virtual high school of science and mathematics
TRANSCRIPT
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Modeling with STELLA
Maryland Virtual High School of Science and Mathematics
This project was supported, in part, by the
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STELLA Characteristics
A dynamic concept map Focuses on change over time Makes visible the feedback in a system Allows the input of data and equations Expresses output as data tables and graphs Appropriate for math levels from pre-
algebra through calculus
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Money Model
Money(t) = Money(t - dt) + (monthly_earnings - monthly_expenditures) * dt
INIT Money = 100monthly_earnings = 2000monthly_expenditures = 1900
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Model Output - Graph
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Model Output - Table
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Money Model with Feedback
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Feedback Output
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Benefits of Modeling
Solve Real World Problems Learn from Personal Experiences Connect Data and Processes Clarify Abstract Concepts Extend Classroom ‘Wet-Lab’ Experiences Reveal Misconceptions
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Hunting the Black Bear
Garrett County, Maryland
The black bear population isincreasing. Bears have caused accidents on I-70. They foragefor food in neighborhoods.
The Department of NaturalResources wants to know ifhunting should be resumed.What should the quota be?
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The Black Bear Model
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Model Results
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The Dangers of Tailgating
Montgomery County, Maryland
You are driving on I-95 in rush hour traffic. You learned the two-second rule in Driver’s Education, but drivers cut in
front of you if you leave that much space.
What is a safe separation distance?
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The Tailgating Model
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Tailgating Scenario
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Scenario Results
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Carbon Cycle Objectives
Model the components and processes which form the carbon cycle.
Identify the characteristics of a system in equilibrium.
Identify feedback loops in a system. Illustrate the effects of a disturbance to a
system in equilibrium.
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Mauna Loa Data
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Carbon Cycle Model
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Carbon Cycle Output
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Enzyme Model Objectives
Determine the parameter values which result in optimum performance for an enzyme.
Use a simulation to extend understanding of enzyme reaction rates.
Apply the results of the model to real world situations.
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Enzyme Model
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Enzyme Model Output
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Enzyme Model Analysis
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The Flow Investigation
The buret shown can representmany real world situations - a reservoir formed by a dam, a bathtub, drugs entering and exitingyour body. Each system is affectedby inflow and outflow rates.
Use the buret to investigate thecharacteristics of those rates.
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The Flow Model
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Model Output
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Contact Information
Susan Ragan - Center Director– [email protected]
Maryland Virtual High School– 51 East University Blvd. – Silver Spring, MD 20901– http://mvhs.mbhs.edu 301-649-2880