ppt ce&dycase dearbornc2s7

8/14/2019 Ppt Ce&Dycase Dearbornc2s7

1/12

1

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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2

Looking Back

Value of Algorithms

Efficient

ReliableUniversal

Value of Reasoning Strategies

Understand the structure of

numbers, operations, proportional

relationships, etc.


3/12

3

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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4

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


5/12

5

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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6

The Case of Catherine and David

Whats the Math?

What are the mathematical goals?

How would you describe the level of thetask?


7/12

7

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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8

Focus Questions

What instructor moves

supported student learning?

What instructor moves

undermined student

learning?


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9

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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10

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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11


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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12


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

ppt ce&dycase dearbornc2s7

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