modeling with stella maryland virtual high school of science and mathematics
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Modeling with STELLA
Maryland Virtual High School of Science and Mathematics
This project was supported, in part, by the
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
Money Model
Money(t) = Money(t - dt) + (monthly_earnings - monthly_expenditures) * dt
INIT Money = 100monthly_earnings = 2000monthly_expenditures = 1900
Model Output - Graph
Model Output - Table
Money Model with Feedback
Feedback Output
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
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?
The Black Bear Model
Model Results
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?
The Tailgating Model
Tailgating Scenario
Scenario Results
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.
Mauna Loa Data
Carbon Cycle Model
Carbon Cycle Output
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.
Enzyme Model
Enzyme Model Output
Enzyme Model Analysis
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.
The Flow Model
Model Output
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