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Page 1: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 1

Mathematical Tasks.ppt

Slide 1

Page 2: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 2

Mathematical Tasks.ppt

Effective Mathematics Instruction: The Role of Mathematical Tasks

Page 3: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

How to Participate

Page 4: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Communication Tools

Page 5: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Important Notice!!

Page 6: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Effective Mathematics Instruction: The Role of Mathematical Tasks

Page 7: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Overview

Page 8: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Comparing Two Mathematical Tasks

Page 9: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 9

Mathematical Tasks.ppt

Comparing Two Mathematical Tasks

Page 10: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Martha’s Carpeting Task

Page 11: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Fencing Task

Page 12: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Comparing Two Mathematical Tasks

Page 13: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 13

Mathematical Tasks.ppt

Martha’s Carpeting Task Using the Area Formula

Page 14: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 14

Mathematical Tasks.ppt

Martha’s Carpeting Task Drawing a Picture

Page 15: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Fencing Task Diagrams on Grid Paper

Page 16: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Fencing Task Using a Table

Page 17: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Fencing Task Graph of Length and Area

Page 18: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Fencing Task Graph of Length and Area

Page 19: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 19

Mathematical Tasks.ppt

The Fencing Task Equation and Graph

Page 20: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Fencing Task Equation and Calculus

Page 21: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 21

Mathematical Tasks.ppt

Comparing Two Mathematical Tasks

Page 22: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Similarities and Differences

Page 23: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Similarities and Differences

Page 24: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Similarities and Differences

Page 25: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Mathematical Tasks: A Critical Starting Point for Instruction

Page 26: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Mathematical Tasks: A Critical Starting Point for Instruction

Page 27: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 27

Mathematical Tasks.ppt

Mathematical Tasks: A Critical Starting Point for Instruction

Page 28: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 28

Mathematical Tasks.ppt

Mathematical Tasks: A Critical Starting Point for Instruction

Page 29: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

High Level vs. Low Level Tasks: Different Opportunities for Thinking

Page 30: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Opportunities for Thinking and Reasoning

Page 31: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Opportunities for Thinking and Reasoning

Page 32: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Slide 32

Page 33: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Linking to Research: The QUASAR Project

Page 34: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Linking to Research: The QUASAR Project

Page 35: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 35

Mathematical Tasks.ppt

Linking to Research: The QUASAR Project

Page 36: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Mathematical Tasks Framework

Page 37: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Mathematical Tasks Framework

Page 38: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 38

Mathematical Tasks.ppt

The Mathematical Tasks Framework

Page 39: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 39

Mathematical Tasks.ppt

The Mathematical Tasks Framework

Page 40: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

Page: 40

Mathematical Tasks.ppt

The Mathematical Tasks Framework

Page 41: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Cognitive Demands at Set Up

Page 42: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Fate of Tasks Set Up as Doing Mathematics

Page 43: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

The Fate of Tasks Set Up as Procedures WITH Connections to Meaning

Page 44: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Why Do High Level Tasks Decline?

Page 45: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Factors Associated with the Maintenance and Decline of High-Level Cognitive Demands (seeFACTORS handout)

Page 46: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Factors Associated with the Maintenance and Decline of High-Level Cognitive Demands (seeFACTORS handout)

Page 47: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Factors Associated with the Maintenance and Decline of High-Level Cognitive Demands (seeFACTORS handout)

Page 48: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Slide 48

Page 49: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Slide 49

Page 50: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Mathematical Tasks and Student Learning

Page 51: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Patterns of Set up, Implementation, and Student Learning

Page 52: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Linking to Research: TIMSS 1999 Video Study

Page 53: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Conclusion

Page 54: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Questions? Comments?

Page 55: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Contact Information

Page 56: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

E-Learning Programs

Page 57: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Certificate of Participation

Page 58: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Evaluation

Page 59: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Thanks!

Page 60: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Disclaimer

Page 61: Mathematical Tasks - MathEd – Mathematics Education eseminar 2-24-10...Page: 45 Mathematical Tasks.ppt Factors Associated with the Maintenance and Decline of High-Level Cognitive

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Mathematical Tasks.ppt

Slide 61