Modeling, Analysis and Simulation in Mathematics Using System Dynamics

Modeling, Analysis, and Simulation in Mathematics Using System Dynamics: A Professional Development (Computer-Based) Workshop for Region II High School Mathematics Teachers, Coordinators, and Supervisors Workshop Instructor

Diana M. Fisher MATHEMATICS/COMPUTER SCIENCE TEACHER WILSON HIGH SCHOOL Portland. OR

AGENDA Friday, February15, 2008

08:00 – 08:30 AM Registration and Breakfast

08:30 – 09:00 AM Welcome, Introductions, Housekeeping, and Expectations

09:00 – 10:30 AM System Dynamics: Behavior Over Time Graphs (BOTGs), Some Core Structures and Feedback Analysis Using STELLA Software

10:30 – 10:45 AM BREAK

10:45 – 12:00 Noon Lab: Linear Models (no feedback) Exponential Models (simple reinforcing feedback, simple balancing feedback) Malthus Problem (Linear and Exponential combination) Drug Models #1 (Linear and Exponential combination)

12:00 – 12:45 PM LUNCH

12:45 – 02:15 PM LAB: Drug Models #2 (Two compartment model) Alcohol Model (Two compartment model)

02:15 – 02:30 PM BREAK

02:30 – 03:30 PM Suggestions for simple assessment questions to include on paper/pencil tests and Population Model with carrying capacity (transfer of feedback loop dominance)

03:30 – 04:00 PM Day 1 Wrap Up

(Continued) Saturday, February16, 2008

08:30 – 09:00 AM Breakfast

09:00 – 10:30 AM Lab: Predator/Prey Model

10:30 – 10:45 AM BREAK

10:45 – 11:30 AM Lab: Improved Predator/Prey Model and feedback analysis Other options: Simple Quadratic Model (no feedback) Epidemic Model (transfer of feedback loop dominance)

11:30 – 12:00 Noon Day 2 Wrap Up and Workshop Evaluation

Available Resources

 CD of resource documents and sample student models and papers  Display of some useful books

Other Resources

 Creative Learning Exchange http://www.clexchange.org/  2008 Systems Thinking and Dynamic Modeling Conference for K-12 Education – June 28 - June 30, 2008 – The Babson Executive Conference Center, Wellesley, MA http://www.clexchange.org/conference/cle_2008conference

Workshop Sponsor

The Hampton Roads Modeling and Simulation Initiative Education and Training Advisory Group

Workshop Coordinators

Dr. Thomas E. Pinelli NASA Langley Research Center Thomas. E. [email protected]

Dr. Ginger S. Watson Virginia Modeling, Analysis, and Simulation Center (VMASC) Old Dominion University [email protected]

Ms. Shelia Flanagan Virginia Modeling, Analysis, and Simulation Center (VMASC) Old Dominion University [email protected]