1. Standards for Mathematical Practice and the
Science & Engineering Practices
Part Three: Communication & Argument
Wednesday, August 13, 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 Three: Focus on Communication & Argument
Wednesday 13 August 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. Developmental Progression
How do students progress around communication & argument skills?
Size/scope of vocabulary
Writing & speaking skills
Mathematical/scientific understanding
Ability to construct an argument

10. What is an argument?
Expressing a point of view on a subject and supporting it with evidence
UNC Writing Center
A reason or set of reasons given with the aim of persuading others that an action or idea is right or wrong
Oxforddictionaries.com
A mathematical proof is an argument that convinces other people that something is true.
UC Berkeley Mathematics Department handout
A scientific argument is a logical description of what we think and why we think it.
UC Berkeley Understanding Science web site

11. Elements of Scientific Argument
Ideas - hypotheses
Expectations – predictions based on ideas
Actual Observations – evidence
Constructing an Argument
What would we expect to see if this idea were true?
What do we actually see?
Do our expectations match our observations?

12. MP 3 Construct viable arguments & critique the reasoning of others
Students can
Develop a logical progression of statements
Recognize and use counter-examples
Analyze situations by breaking them into cases
Ask useful questions to clarify or improve the argument

13. What tools can students use?
Language
Mathematics
Charts/graphs/diagrams
Models/Prototypes

14. What about evaluating evidence or critiquing arguments?
What’s important in classroom culture?
Trust
Mistakes are valued
Think time
What skills must students have?

15. Better arguments in school
Modeling good arguments
Practice creating arguments
Teacher questioning
What do you notice?
How do you know?
Is that true every time?

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17. 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.

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Tuesday, September 9th at 4PM Eastern Time
What is Formative Assessment?
Part 1 of Formative Assessment Series
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19. Thank you!