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dynamic systems theory of development 1
Introduction
• Suggested program
• 1. A model of teaching and learning
• 2. A model of the control of undesirable behavior in a class
• 3. A model of connected growers
• 4. A model of interaction: concerns, emotions, and behaviors
• Access to the files
• My computer -> public on labsapps1 (F:) -> modeling
development
• To save the models: make your own directory on C
(local disk)
dynamic systems theory of development 2
Overview of models
• A basic model of learning and teaching
• A model of the control of undesirable behavior in a
class
• A model of connected growers
• Fischer’s model of domain-specific developmental levels
• Telegraphic language
• Your own model
• A model of interaction; concerns, emotions and
behaviors
dynamic systems theory of development 3
Goals model of teaching and
learning
• 1. You will be able to understand that a relatively simple
dynamic model of learning and teaching, consisting of
only a few variables, shows highly nonlinear effects
• 2. You will learn that these dynamic systems can run
into equilibrium levels far below the intended goal
• 3. You will be shown the difference between
deterministic and randomized models and see that the
effect of random factors is not always proportional to
their magnitude A basic model of learning and teaching
To demonstrate the way
dynamic systems theory and
modeling can be used in the
psychology and educational
psychology class
dynamic systems theory of development 4
A model of learning and teaching
• Teacher has a goal that student has not reached yet
• Teacher sets an instruction level that runs ahead of the
student’s current level
• Teacher adapts the instruction to the level of the student
• As the student progresses, the teacher increases the
instruction level to be met by the student (demands,
examples, tasks, explanations, …)
• If the instruction level is too far from or too close to the
student’s level, no learning takes place
dynamic systems theory of development 5
A dynamic model of teaching/learning
• Variables
• Goal level
• Instruction level
• Student’s level
• Parameters
• Group 1: teacher related parameters
• Rate of instruction of the teacher
• how fast does the teacher progress, given progress in the student
• Group 2: student related parameters
• Rate of learning of the student
• Distance at which instruction becomes ineffective
dynamic systems theory of development 6
A dynamic model of teaching/learning
• Variables
• Goal level
• In the current model it’s a constant (1)
• Instruction level
• The current level of complexity
• Student’s level
• The current level of skill, knowledge etc. in the
student
dynamic systems theory of development 7
A dynamic model of teaching/learning
• Parameters
• 1. Rate of instruction of the teacher
• how fast does the teacher progress, given progress in the student
• If you move the cursor to the left, the teacher increases the instruction level
more slowly
• If you move the cursor to the right, the teacher increases the instruction level
more rapidly, makes ‘bigger leaps’
• 2. Rate of learning of the student
• 3. Maximal Distance
• Beyond this maximum, no learning will take place anymore, instruction
becomes ineffective
• Two groups: the teacher-dependent (1) and the student-
dependent (2 and 3)
dynamic systems theory of development 8
This parameter represents the rate
of Increase in the instruction level
dynamic systems theory of development 9
To the left: the instruction
level must be closer to the
student’s current level in
order to be effective

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model of learning and teaching.ppt active lerarning

  • 1. dynamic systems theory of development 1 Introduction • Suggested program • 1. A model of teaching and learning • 2. A model of the control of undesirable behavior in a class • 3. A model of connected growers • 4. A model of interaction: concerns, emotions, and behaviors • Access to the files • My computer -> public on labsapps1 (F:) -> modeling development • To save the models: make your own directory on C (local disk)
  • 2. dynamic systems theory of development 2 Overview of models • A basic model of learning and teaching • A model of the control of undesirable behavior in a class • A model of connected growers • Fischer’s model of domain-specific developmental levels • Telegraphic language • Your own model • A model of interaction; concerns, emotions and behaviors
  • 3. dynamic systems theory of development 3 Goals model of teaching and learning • 1. You will be able to understand that a relatively simple dynamic model of learning and teaching, consisting of only a few variables, shows highly nonlinear effects • 2. You will learn that these dynamic systems can run into equilibrium levels far below the intended goal • 3. You will be shown the difference between deterministic and randomized models and see that the effect of random factors is not always proportional to their magnitude A basic model of learning and teaching To demonstrate the way dynamic systems theory and modeling can be used in the psychology and educational psychology class
  • 4. dynamic systems theory of development 4 A model of learning and teaching • Teacher has a goal that student has not reached yet • Teacher sets an instruction level that runs ahead of the student’s current level • Teacher adapts the instruction to the level of the student • As the student progresses, the teacher increases the instruction level to be met by the student (demands, examples, tasks, explanations, …) • If the instruction level is too far from or too close to the student’s level, no learning takes place
  • 5. dynamic systems theory of development 5 A dynamic model of teaching/learning • Variables • Goal level • Instruction level • Student’s level • Parameters • Group 1: teacher related parameters • Rate of instruction of the teacher • how fast does the teacher progress, given progress in the student • Group 2: student related parameters • Rate of learning of the student • Distance at which instruction becomes ineffective
  • 6. dynamic systems theory of development 6 A dynamic model of teaching/learning • Variables • Goal level • In the current model it’s a constant (1) • Instruction level • The current level of complexity • Student’s level • The current level of skill, knowledge etc. in the student
  • 7. dynamic systems theory of development 7 A dynamic model of teaching/learning • Parameters • 1. Rate of instruction of the teacher • how fast does the teacher progress, given progress in the student • If you move the cursor to the left, the teacher increases the instruction level more slowly • If you move the cursor to the right, the teacher increases the instruction level more rapidly, makes ‘bigger leaps’ • 2. Rate of learning of the student • 3. Maximal Distance • Beyond this maximum, no learning will take place anymore, instruction becomes ineffective • Two groups: the teacher-dependent (1) and the student- dependent (2 and 3)
  • 8. dynamic systems theory of development 8 This parameter represents the rate of Increase in the instruction level
  • 9. dynamic systems theory of development 9 To the left: the instruction level must be closer to the student’s current level in order to be effective