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Implementing Common Core Standards in Math

Implementing Common Core Standards in Math. Tuesday, May 15th - 4pm Eastern Time Seeing Structure & Generalizing in the Practices. Presented by Sara Delano Moore, Ph.D., Director of Mathematics and Science at ETA/Cuisenaire Sponsored by.

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Implementing Common Core Standards in Math

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  1. Implementing Common Core Standards in Math Tuesday, May 15th - 4pm Eastern Time Seeing Structure & Generalizing in the Practices Presented by Sara Delano Moore, Ph.D., Director of Mathematics and Science at ETA/Cuisenaire Sponsored by Join the Implementing Common Core Standards in Math community at www.edweb.net/math Tweeting today? #ccssmath @edwebnet

  2. Thank you to our sponsor

  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? #ccssmath @edwebnet • A link to the recording of this webinar and your CE certificate will be sent to you the day after the webinar.

  4. Seeing Structure & Generalizingin the Practices EdWeb Webinar 15 May 2012 Sara Delano Moore, Ph.D. smoore@hand2mind.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. Look for and make use of structure • Patterns, patterns, patterns • Properties of Operations • 3 + 7 = 7 + 3 • 7 x 8 = 7 x 5 + 7 x 3 • Geometric Structure • Sorting geometric shapes • Reasoning about the attributes of shapes

  7. Properties (Tables 3-5, p 90) • Properties of Operations • Commutative Property • Distributive Property • Properties of Equality • Transitive Property (if a=b and b=c, then a=c) • Properties of Inequality • Exactly one of the following is true: • a > b, a = b, a < b

  8. Multiplication Table

  9. Van HieleLevels of Geometric Thinking • Level 0 (Pre-recognition) • Students do not yet see shapes clearly enough to compare with prototypes • Level 1 (Visualization) • Students understand shapes by comparing to prototypes • Students do not see properties • Students make decisions based on perception, not reasoning • Level 2 (Analysis) • Students see shapes as collections of properties • Students do not identify necessary and sufficient properties

  10. Van HieleLevels (cont) • Level 3 (Abstraction) • Students see relationships among figures and properties • Students can create meaningful definitions and reason informally • Level 4 (Deduction) • Students can construct proofs • Students understand necessary & sufficient conditions • Level 5 (Rigor) • Students can understand non-Euclidean systems • Students can use indirect proof and formal deduction

  11. Look for and express regularity in repeated reasoning • Focus on computation here • 1 ÷ 3 = • Examining points on a line and slope • (1,2), m=3 (y-2)/(y-1) = 3 • Attending to intermediate results

  12. Summing Up • These practices are about seeing the underlying mathematical principles and generalizations. • These practices have more subtlety.

  13. What’s Next? • Join the conversation in the community – what do you want to learn more about? • Summer webinars? • Fall webinars?

  14. Thank you for your participation! EdWeb Webinar 15 May 2012 Sara Delano Moore, Ph.D. smoore@hand2mind.com

  15. QUESTIONS?

  16. 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. The webinar recording, the PowerPoint slides, and a CE quiz (for those who watch the recorded version) are available in the community at www.edweb.net/math.

  17. Thank you to our sponsor

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