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Geometric Task Demand Framework. Purpose:. Learn about a framework for thinking about geometry tasks (to keep in mind as teachers talk about using problems in the classroom) Try out an activity that teachers will do in FGT Session 9 to learn about this framework. Flow:.

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purpose

Purpose:

  • Learn about a framework for thinking about geometry tasks (to keep in mind as teachers talk about using problems in the classroom)
  • Try out an activity that teachers will do in FGT Session 9 to learn about this framework
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Flow:

  • Brief intro to framework
  • Read about framework
  • Apply framework to geometry tasks
  • Discuss task categories
  • Discuss framework as a full group
  • The use of this framework in FGT
geometric task demand framework4

Geometric Task Demand Framework

Adapted from Implementing Standards-Based Mathematics Instruction by Stein, Smith, Henningsen, & Silver. Teachers College Press. 2000

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Tasks as they appear in materials

Tasks as set up by teachers

Tasks as carried out by students

Student Learning

geometric thinking task demand categories
Geometric Thinking Task Demand Categories

Memorization

Procedures without Connections

Procedures with Connections

Doing mathematics

geometric thinking task demand categories7
Geometric Thinking Task Demand Categories

Memorization:

How many degrees in a circle?

Procedures without Connections:

What is the area of a circle with a radius of 4 inches?

Procedures with Connections:

Question 1 from Finding Centers of Rotation (trace path of point with string and say what you notice)

Doing mathematics:

Where is the center of rotation for these two segments?

task sorting activity
Task Sorting Activity
  • Work through the six tasks and categorize them according to the Geometric Task Demand Framework. (until 2:25 minutes)
  • Discuss how you categorized the six tasks with your partner. Describe why you think the tasks fit with particular parts of the framework, especially in cases where you and your partner disagree. (2:25-2:35 with Fostering Geometric Thinking partner #9)
how does this fit into fgt
How does this fit into FGT?
  • Teachers will use this task sorting activity to learn about the Geometric Task Demand Framework in Session 9.
  • Teachers will then be asked to consider the Framework in later sessions as they prepare to use FGT problems with students to capture thinking.
a note about fgt problems
A Note About FGT Problems

The problems included in FGT have already undergone many revisions, based on feedback from previous groups of teachers and students.

a note about fgt problems11
A Note About FGT Problems

The problems are designed to…

  • make them accessible (at some level of entry) for students in a variety of grades and settings
  • make it more likely that student thinking will get captured in some way (e.g., in writing or in things the students do or say on videotapes)
  • maintain a high level of cognitive demand.