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Implementing Common Core Standards in Math

Enhance math standards implementation through reasoning & explaining. Learn practical strategies with Dr. Sara Delano Moore. Sponsored by EdWeb. Join the webinar community at edweb.net/math.

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Implementing Common Core Standards in Math

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  1. Implementing Common Core Standards in Math Wednesday, March 7th - 4pm Eastern Time Reasoning & Explaining in the Practices Presented by Sara Delano Moore, Ph.D. Sponsored by Join the Implementing Common Core Standards in Math community www.edweb.net/math Tweeting today? #ccss #mathchat @edwebnet

  2. Thank you to our sponsor for today’s webinar!

  3. Webinar Tips • Use the text chat! Post comments, ask questions, get support. • For better audio/video, close any other applications (like Skype) that use bandwidth. • To maximize your screen for a larger view, use the link in the upper right corner. • Tweeting today? #ccss #mathchat @edwebnet • A link to the recording of this webinar and your CE certificate will be sent to you the day after the webinar.

  4. Reasoning & Explaining in the Practices EdWeb Webinar 7 March 2012 Sara Delano Moore, Ph.D. smoore@etacuisenaire.com

  5. 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.

  6. Reason abstractly & quantitatively • 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

  7. Construct viable arguments… • 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

  8. How do we help children learn this? • 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

  9. Scaffolding Argument • 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?

  10. …and critique the reasoning of others • 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

  11. Looking at Lessons • 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?

  12. Thank you for your participation!

  13. Continue the conversation and view the webinar recordings… Join the edWeb.net community at: www.edweb.net/math All attendees will be emailed a link to the recording and a CEU certificate for participating in today’s webinar.

  14. Join us for the next webinar Tuesday, April 10th - 4pm Eastern Time Modeling & Using Tools in the Practices Sponsored by Bookmark this link for all future webinars: www.instantpresenter.com/edwebnet4

  15. Thank you to our sponsor for today’s webinar!

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