implementing common core standards in math wednesday, march 7th - 4pm eastern time reasoning &...
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Implementing Common Core Standards in Math
Wednesday, March 7th - 4pm Eastern Time
Reasoning & Explaining in the PracticesPresented by
Sara Delano Moore, Ph.D.
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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.
Mathematics in and out of context Working with symbols as abstractions Quantitative reasoning requires
number sense Using properties of operations and
objects Considering the units involved Attending to the meaning of quantities,
not just computation
Understand and use assumptions, definitions, and prior results› Think about precision (MP6)
Make conjectures and build logical progressions to support those conjectures› Not just two column proofs in high school
Analyze situations by cases› Positive values of X and negative values of X› Two-digit numbers vs three-digit numbers
Recognize & use counter-examples› Maximum area problem
Provide rich problems where multiple pathways and solutions are possible
Look for the best answer and allow multiple interpretations of best
Recognize the difference between argument and opinion
Provide scaffolds for them
How can you show that your computation is correct?› Use a different tool or strategy› Compare your work with someone else
How can you explain why your answer is best?› What possibilities did you consider?› What criteria did you use?› Why did you reject some options?› What made you choose this option?
Embedding logic into your thinking› Does one part depend on another part?› Does changing one aspect of the problem change the
result?› What are you sure about? What comes next?
Compare two plausible arguments Distinguish correct from flawed
reasoning› Explain/correct the flaw
Elementary student arguments might depend on concrete referents› Generalize the reasoning at later stage
Ask useful questions to clarify and improve arguments
Should every lesson address every practice?
How is this practice addressed in this lesson?
What practices does this lesson highlight?
In what ways does this lesson highlight one or more practices?
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Tuesday, April 10th - 4pm Eastern Time
Modeling & Using Tools in the Practices
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