Ppt Ce&Dycase Dearbornc2s7
Transcript of Ppt Ce&Dycase Dearbornc2s7
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Overview of Session 7
Looking Back
Value of Algorithms
Value of Reasoning Strategies Goals of the Session
Hexagon Train Problem
Analysis of Catherine and David Case
Facilitation of Redefining Success
Reflection
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Looking Back
Value of Algorithms
Efficient
ReliableUniversal
Value of Reasoning Strategies
Understand the structure of
numbers, operations, proportional
relationships, etc.
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Goals of the Session
Mathematical Goals
To identify and generalize patterns
To explore relationships between
variables
To make connections among
multiple representations and
solution methods
To explain and justify solution
methods
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Goals of the SessionPedagogical Goals
To analyze the task for level of cognitive
demand
To make connections to the MTF
To analyze instruction
To recognize the teacher moves that
maintain or undermine the cognitive level
of the task
To consider what it means to be successful
in doing mathematics and in teaching
mathematics
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Hexagon Train
Problem
Compute the perimeter for the first 4 trains;
Determine the perimeter for the tenth train
without constructing it; and
Write a description that could be used to
compute the perimeter of any train in the
pattern.
Train 1 Train 2 Train 3 Train 4
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The Case of Catherine and David
Whats the Math?
What are the mathematical goals?
How would you describe the level of thetask?
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Catherines and Davids Story
Read The Case of Catherine
Evans and David Young (Focus
on paragraphs: 10-29 and 42-63.)
Pay special attention to teacher
moves that support or
undermine student learning.
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Focus Questions
What instructor moves
supported student learning?
What instructor moves
undermined student
learning?
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Redefining Success
What do you take as evidence of
success as a teacher of
mathematics?
What does it mean for students
to be successful in yourclassroom?
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Redefining Success
What was your reaction to
Hendersons alteration of tasks?
How has Hendersons definition
of successful teaching and
learning changed over time?
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Goals of the Session
Mathematical Goals
To identify and generalize patterns
To explore relationships betweenvariables
To make connections among
representations and solution
methods
To explain and justify solution
methods
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Goals of the Session
Pedagogical Goals
To analyze the task for level of cognitive
demand
To make connections to the MTF
To analyze instruction
To recognize the teacher moves that
maintain or undermine the cognitive level
of the task To consider what it means to be successful
in doing mathematics and in teaching
mathematics