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Lecture 6

MATH 392 Lecture 6: September 7, 2016 (Models & Lesson Planning)
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Department
Mathematical Sciences
Course Code
MATH 392
Professor
Woodward

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PHYC 101 Lecture
September 7, 2016
Models & Lesson Planning
Points of Focus:
What are models?
Learning theories: constructivism and sociocultural theory
Lesson Planning – Launch, Explore, Summary Method
Notes:
Key to transformation strategy: distance stays the same
oshow the SAMEness
Key to compensation strategy: correct yourself at the end
Models: representations of relationships that mathematicians have
constructed over time
olike maps to show or help someone’s thinking
Models OF thinking vs. models FOR thinking
oOF: to show someone’s thinking
oFROM: kids start using it to facilitate thinking
on paper or mentally
introduce to students by using models to explain—NOT as another
algorithm
“Invented strategies are what we use to learn.”
Problem Solving: what you do when you don’t know what to do
ouse invented strategies
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Description
PHYC 101 Lecture September 7, 2016 Models & Lesson Planning Points of Focus:  What are models?  Learning theories: constructivism and sociocultural theory  Lesson Planning – Launch, Explore, Summary Method Notes:  Key to transformation strategy: distance stays the same o show the SAMEness  Key to compensation strategy: correct yourself at the end  Models: representations of relationships that mathematicians have constructed over time o like maps to show or help someone’s thinking  Models OF thinking vs. models FOR thinking o OF: to show someone’s thinking o FROM: kids start using it to facilitate thinking  on paper or mentally  introduce to students by using models to explain—NOT as another algorithm “Invented strategies are what we use to learn.”  Problem Solving: what you do when you don’t know what to do o use invented strategies Lesson Planning Launch, Explore, Summary o What is a learning theory?  Tools that offer possibilities of doing different work  Give us assumptions about the nature of learning  Vygotsky, etc. o Ask yourself:  How do I know when students learn something?  How do you define learning?  How do you design lessons to promote learning? o Constructivism:  learning is an active proce
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