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D YNAMIC S YSTEMS M ODELING
      IN E DUCATIONAL S YSTEM D ESIGN


SYSTEM DYNAMICS
  INTRO
  MODELING
  USES IN POLICY

MODELING IN EDUCATION
  SIMPLE EXAMPLES

FUTURE WORK
  DEVELOPING COMPLEX MODELS
  CONNECTIONS TO THINK SCENARIOS


                                        J ENNIFER G ROFF 2009
D YNAMIC C OMPLEXITY & U NINTENDED E FFECTS


FORRESTER EXAMPLE
  CITY OF BOSTON URBAN PLANNING

PARALLELS IN EDUCATION
  NCLB

                POLICY RESISTANCE
                  LINEAR-THINKING
                  TENDENCY TOWARDS ANALYSIS



                                           J ENNIFER G ROFF 2009
D YNAMIC C OMPLEXITY C HARACTERISTICS
          OF C OMPLEX S YSTEMS

 Constantly challenging  Change in systems occurs at many time scales, and these different
 scales sometimes interact.
 Tightly coupled  The actors in a system interact strongly with one another and with the natural
 world; everything is connected to everything else.
 Governed by feedback  Our actions feed back on themselves, giving rise to a new situation as a
 result of our actions.
 Nonlinear  Effect is rarely proportional to cause, and what happens locally in a system often does
 not apply in distant regions; it arises as multiple factors interact in decision-making.
 History-dependent  Taking one road often precludes taking others and determines where you end
 up; many actions are irreversible.
 Self-organizing  The dynamics of systems arise spontaneously from their internal structure,
 generating patterns in space and time creating path dependence.
 Adaptive  The capabilities and decision rules of the agents in complex systems change over time.
 Adaption also occurs as people learn from experience, especially as they learn new ways to achieve
 their goals in the face of obstacles. Learning is not always bene鍖cial, however.
 Characterized by trade-offs  Time delays in feedback channels mean the long-run response of a
 system to an intervention is often different from its short-run response. High leverage policies often
 generate transitory improvement before the problem grows worse.
 Counterintuitive  Cause and effect are distant in time and space while we tend to look for causes
 near the events we seek to explain.
 Policy resistant  The complexity of the systems in which we are embedded overwhelms our ability
 to understand them, resulting in many seemingly obvious solutions to problems that fail or actually
 worsen the problem.
                                                                                                          J ENNIFER G ROFF 2009
M ODELING T OOLS FOR S YSTEM D YNAMICS

Behavior-Over-Time Graphs - Displays data of change in
the system in a line graph format

Causal Loop Diagrams - Mapping of feedback loops and
how they may interact with one another


Stock/Flow Maps - "Stocks" are the accumulation of
something in the system, such as money, people, etc.
"Flows" are the rates of change of those stocks, such as
savings or spending rate. Feedback loops within a system
are what control these 鍖ows. Through these three
components, one can depict the dynamics of a given
system.


Computer Simulation Models - Once a system is
diagrammed, its accuracy can best be tested through
constructing a computer simulation of that model. While no
one person could simultaneously calculate the
interdependent relationships of system of time that
produces the troublesome behavior, a computer model can.
Numerous tools have been developed to help achieve this,
including StarLogo, and NetLogo.
E XAMPLE FROM S CIENCE
   I NFECTIOUS A CTIVITY




                           J ENNIFER G ROFF 2009
E XAMPLE FROM S CIENCE
   I NFECTIOUS A CTIVITY




                           J ENNIFER G ROFF 2009
E XAMPLE FROM S CIENCE
   I NFECTIOUS A CTIVITY




                           J ENNIFER G ROFF 2009
E XAMPLE FROM S CIENCE
   I NFECTIOUS A CTIVITY




                           J ENNIFER G ROFF 2009
E XAMPLE FROM S CIENCE
   I NFECTIOUS A CTIVITY




                           J ENNIFER G ROFF 2009
Student : Teacher
     Ratio




                    J ENNIFER G ROFF 2009
Student : Teacher
     Ratio




                    J ENNIFER G ROFF 2009
Student
                    Achievement




Student : Teacher
     Ratio




                                  J ENNIFER G ROFF 2009
Student
                    Achievement




Student : Teacher
     Ratio




                                  J ENNIFER G ROFF 2009
Student
                    Achievement




Student : Teacher
     Ratio




                                  J ENNIFER G ROFF 2009
Student
                         Achievement




Student : Teacher
     Ratio




                     NCLB
                    Funding




                                       J ENNIFER G ROFF 2009
Student
                         Achievement




Student : Teacher
     Ratio




                     NCLB
                    Funding




                                       J ENNIFER G ROFF 2009
Student
                         Achievement




Student : Teacher
     Ratio




                     NCLB
                    Funding




                                       J ENNIFER G ROFF 2009
Student
                         Achievement




Student : Teacher
     Ratio




                     NCLB
                    Funding




                                       J ENNIFER G ROFF 2009
Student
                             Achievement




Student : Teacher   R
     Ratio




                         NCLB
                        Funding




                                           J ENNIFER G ROFF 2009
Student
                                       Achievement




          Student : Teacher   R
               Ratio




                                   NCLB
                                  Funding
 State
Funding




                                                     J ENNIFER G ROFF 2009
Student
                                       Achievement




          Student : Teacher   R
               Ratio




                                   NCLB
                                  Funding
 State
Funding




                                                     J ENNIFER G ROFF 2009
Content Alignment
                             Rate


                              8

                   B                       R


exposure to test
   content

                            8                  class time
                                               available




                                                            J ENNIFER G ROFF 2009
Content Alignment
                             Rate
    Subjects Taught/
         Tested               8

                   B                       R


exposure to test
   content

                            8                  class time
                                               available




                                                            J ENNIFER G ROFF 2009
Content Alignment
                             Rate
    Subjects Taught/
         Tested               8

                   B                       R


exposure to test
   content

                            8                  class time
                                               available




                                                            J ENNIFER G ROFF 2009
Content Alignment
                             Rate
    Subjects Taught/
         Tested               8             Subject Not
                                           Taught/ Tested




                   B                       R


exposure to test
   content

                            8                   class time
                                                available




                                                             J ENNIFER G ROFF 2009
Content Alignment
                             Rate
    Subjects Taught/
         Tested               8             Subject Not
                                           Taught/ Tested




                   B       Students        R
                           Proficient


exposure to test
   content

                            8                   class time
                                                available




                                                             J ENNIFER G ROFF 2009
Content Alignment
                             Rate
    Subjects Taught/
         Tested               8             Subject Not
                                           Taught/ Tested




                   B       Students        R
                           Proficient


exposure to test
   content

                            8                   class time
                                                available

                         Students Not
                           Proficient




                                                             J ENNIFER G ROFF 2009
H IERARCHICAL L EVELS OF E DUCATIONAL S YSTEM
              P OLICY A NALYSIS
                        Federal


                             State


                         District


                         School


                       Classroom


                   Student       Teacher




                                           J ENNIFER G ROFF 2009
J ENNIFER G ROFF
jennifer_groff@mail.har vard.edu
               2009

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  • 1. D YNAMIC S YSTEMS M ODELING IN E DUCATIONAL S YSTEM D ESIGN SYSTEM DYNAMICS INTRO MODELING USES IN POLICY MODELING IN EDUCATION SIMPLE EXAMPLES FUTURE WORK DEVELOPING COMPLEX MODELS CONNECTIONS TO THINK SCENARIOS J ENNIFER G ROFF 2009
  • 2. D YNAMIC C OMPLEXITY & U NINTENDED E FFECTS FORRESTER EXAMPLE CITY OF BOSTON URBAN PLANNING PARALLELS IN EDUCATION NCLB POLICY RESISTANCE LINEAR-THINKING TENDENCY TOWARDS ANALYSIS J ENNIFER G ROFF 2009
  • 3. D YNAMIC C OMPLEXITY C HARACTERISTICS OF C OMPLEX S YSTEMS Constantly challenging Change in systems occurs at many time scales, and these different scales sometimes interact. Tightly coupled The actors in a system interact strongly with one another and with the natural world; everything is connected to everything else. Governed by feedback Our actions feed back on themselves, giving rise to a new situation as a result of our actions. Nonlinear Effect is rarely proportional to cause, and what happens locally in a system often does not apply in distant regions; it arises as multiple factors interact in decision-making. History-dependent Taking one road often precludes taking others and determines where you end up; many actions are irreversible. Self-organizing The dynamics of systems arise spontaneously from their internal structure, generating patterns in space and time creating path dependence. Adaptive The capabilities and decision rules of the agents in complex systems change over time. Adaption also occurs as people learn from experience, especially as they learn new ways to achieve their goals in the face of obstacles. Learning is not always bene鍖cial, however. Characterized by trade-offs Time delays in feedback channels mean the long-run response of a system to an intervention is often different from its short-run response. High leverage policies often generate transitory improvement before the problem grows worse. Counterintuitive Cause and effect are distant in time and space while we tend to look for causes near the events we seek to explain. Policy resistant The complexity of the systems in which we are embedded overwhelms our ability to understand them, resulting in many seemingly obvious solutions to problems that fail or actually worsen the problem. J ENNIFER G ROFF 2009
  • 4. M ODELING T OOLS FOR S YSTEM D YNAMICS Behavior-Over-Time Graphs - Displays data of change in the system in a line graph format Causal Loop Diagrams - Mapping of feedback loops and how they may interact with one another Stock/Flow Maps - "Stocks" are the accumulation of something in the system, such as money, people, etc. "Flows" are the rates of change of those stocks, such as savings or spending rate. Feedback loops within a system are what control these 鍖ows. Through these three components, one can depict the dynamics of a given system. Computer Simulation Models - Once a system is diagrammed, its accuracy can best be tested through constructing a computer simulation of that model. While no one person could simultaneously calculate the interdependent relationships of system of time that produces the troublesome behavior, a computer model can. Numerous tools have been developed to help achieve this, including StarLogo, and NetLogo.
  • 5. E XAMPLE FROM S CIENCE I NFECTIOUS A CTIVITY J ENNIFER G ROFF 2009
  • 6. E XAMPLE FROM S CIENCE I NFECTIOUS A CTIVITY J ENNIFER G ROFF 2009
  • 7. E XAMPLE FROM S CIENCE I NFECTIOUS A CTIVITY J ENNIFER G ROFF 2009
  • 8. E XAMPLE FROM S CIENCE I NFECTIOUS A CTIVITY J ENNIFER G ROFF 2009
  • 9. E XAMPLE FROM S CIENCE I NFECTIOUS A CTIVITY J ENNIFER G ROFF 2009
  • 10. Student : Teacher Ratio J ENNIFER G ROFF 2009
  • 11. Student : Teacher Ratio J ENNIFER G ROFF 2009
  • 12. Student Achievement Student : Teacher Ratio J ENNIFER G ROFF 2009
  • 13. Student Achievement Student : Teacher Ratio J ENNIFER G ROFF 2009
  • 14. Student Achievement Student : Teacher Ratio J ENNIFER G ROFF 2009
  • 15. Student Achievement Student : Teacher Ratio NCLB Funding J ENNIFER G ROFF 2009
  • 16. Student Achievement Student : Teacher Ratio NCLB Funding J ENNIFER G ROFF 2009
  • 17. Student Achievement Student : Teacher Ratio NCLB Funding J ENNIFER G ROFF 2009
  • 18. Student Achievement Student : Teacher Ratio NCLB Funding J ENNIFER G ROFF 2009
  • 19. Student Achievement Student : Teacher R Ratio NCLB Funding J ENNIFER G ROFF 2009
  • 20. Student Achievement Student : Teacher R Ratio NCLB Funding State Funding J ENNIFER G ROFF 2009
  • 21. Student Achievement Student : Teacher R Ratio NCLB Funding State Funding J ENNIFER G ROFF 2009
  • 22. Content Alignment Rate 8 B R exposure to test content 8 class time available J ENNIFER G ROFF 2009
  • 23. Content Alignment Rate Subjects Taught/ Tested 8 B R exposure to test content 8 class time available J ENNIFER G ROFF 2009
  • 24. Content Alignment Rate Subjects Taught/ Tested 8 B R exposure to test content 8 class time available J ENNIFER G ROFF 2009
  • 25. Content Alignment Rate Subjects Taught/ Tested 8 Subject Not Taught/ Tested B R exposure to test content 8 class time available J ENNIFER G ROFF 2009
  • 26. Content Alignment Rate Subjects Taught/ Tested 8 Subject Not Taught/ Tested B Students R Proficient exposure to test content 8 class time available J ENNIFER G ROFF 2009
  • 27. Content Alignment Rate Subjects Taught/ Tested 8 Subject Not Taught/ Tested B Students R Proficient exposure to test content 8 class time available Students Not Proficient J ENNIFER G ROFF 2009
  • 28. H IERARCHICAL L EVELS OF E DUCATIONAL S YSTEM P OLICY A NALYSIS Federal State District School Classroom Student Teacher J ENNIFER G ROFF 2009
  • 29. J ENNIFER G ROFF jennifer_groff@mail.har vard.edu 2009