1. A model of connected growers

2. Goals model of connected growers
1.      You will learn about the components and structure of dynamic growth models
2.      You will understand the relationship between properties of dynamic growth models and qualitative phenomena such as stepwise growth and temporary regressions
3.      You will be able to build elementary dynamic growth models based on existing research and/or developmental theories
To demonstrate the way dynamic systems theory and modeling can be used in the psychology and educational psychology class
dynamic systems theory of development

3. dynamic systems theory of development
Variables
Define your own variables
dynamic systems theory of development

4. dynamic systems theory of development
Parameters
Property parameters
Growth rate
Initial value
Level of background resources
Timing of the growth process
Level of random variation
Relational parameters
Support
Competition
precursor
dynamic systems theory of development

5. Example: Fischer’s model of developmental levels in different domains
E.g. two levels: stage of operations and stage of relations
stage of relations supports stage of operations by level
the better your understanding of the relationship between addition and subtraction, the stronger the effect on the growth of the (already established) addition and subtraction skill (operations)
Stage of relations competes with stage of operations by change
the increase in the understanding of the relation consumes resources that are also needed for the operations of addition and subtraction itself and thus temporary exerts a negative effect on the ability to add or subtract
dynamic systems theory of development