1. Standards for Mathematical Practice and the
Science & Engineering Practices
Part Two: Problem-Solving Elements
Wednesday, July 16, 2014
Presented By
Sara Delano Moore, Ph.D.
Director of Mathematics and Science at ETA hand2mind
Join our community: Implementing Common Core Standards in Math

2. Implementing Common Core Standards in Math
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5. Standards for Mathematical Practice and the
Science & Engineering Practices
Part Two: Focus on Problem Solving
Wednesday 16 July 2014
Sara Delano Moore, Ph.D.
Director of Mathematics and Science
ETA hand2mind

6. Summer Series Focus on the Practices
Standards for Mathematical Practice
Science & Engineering Practices
June 24 - Focus on Developmental Progressions
July 16 – Focus on Problem Solving
August 13 – Focus on Communication and Argument

7. Standards for Mathematical Practice
Make sense of problems & persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments & critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for & make use of structure.
Look for & express regularity in repeated reasoning.

8. Science and Engineering Practices
Asking questions (for science) and defining problems (for engineering).
Developing and using models.
Planning and carrying out investigations.
Analyzing and interpreting data.
Using mathematics and computational thinking.
Constructing explanations (for science) and designing solutions (for engineering).
Engaging in argument from evidence.
Obtaining, evaluating, and communicating information.

9. What’s a problem?
Problem solving is what you do when you don’t know what to do. If you know what to do, it’s practice.
Marilyn Burns
George Polya, How To Solve It (1945)
Understand the Problem
Devise a Plan
Carry out the Plan
Look Back

10. Is this familiar? Polya’s Process Understand the Problem Devise a Plan
Carry out the Plan
Look Back
What about the scientific method?
Observational Inquiry
Experimental Design

11. Mathematics Example
Tommy & Tessa want to fence in a play area for their dog, Moose. Moose is a big dog, and they want to give him as much room as they can. They have 64 feet of fence. They can use up to 36 feet of the side of their barn as one side of the play area. The area must be rectangular and each side must be a whole number of feet. Determine the best size for Moose’s play area.

12. Science Example
Plan and conduct an investigation to provide evidence of the effects of balanced and unbalanced forces on the motion of an object. 

13. Engineering Example
How can a farmer protect crops when a hailstorm threatens? You can save the day and design a solution to help Farmer Grady protect her crops. Learn about weather-related hazards and use what you know about designing strong structures and properties of materials to identify an effective solution.

14. What do these have in common?
Fencing for Moose the dog
Effect of balanced or unbalanced forces
Protecting Farmer Grady’s crops
Opportunity to apply existing knowledge?
Creation of a product?
Opportunity for multiple solutions?
Opportunity for collaboration?
Opportunity to identify new questions?

15. How are these different?
Fencing for Moose the dog
Effect of balanced or unbalanced forces
Protecting Farmer Grady’s crops
Opportunity to apply existing knowledge?
Creation of a product?
Opportunity for multiple solutions?
Opportunity for collaboration?
Opportunity to identify new questions?

16. What does research say?
Not all tasks provide the same opportunities for student thinking and learning.
Student learning is greatest in classrooms where the tasks consistently encourage high level thinking and reasoning and least in classrooms where the tasks are routinely procedural in nature.
Tasks with high cognitive demands are the most difficult to implement well and are often transformed into less demanding tasks during instruction.
NCTM, 2014, p 17

17. What can we do to strengthen problem solving in school?
Good questions
Common vocabulary
Practice working in teams

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Q&A
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19. Implementing Common Core Standards in Math
Join our community
Implementing Common Core Standards in Math
Invitations to upcoming webinars
Webinar archives and resources
Online discussions
CE quizzes for archived webinars
The recording, slides, and chat log will be posted in the Resource Library under Web 2.0 Tools.

20. Join us for the next webinar!
Wednesday, August 13, 2014 at 12PM Eastern Time
Standards for Mathematical Practice and the
Science & Engineering Practices
Part Three: Communication & Argument
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21. Thank you!