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GSDMC 2013 CASIO Sponsorship Showcase Embracing Common Core with Technology

GSDMC 2013 CASIO Sponsorship Showcase Embracing Common Core with Technology Mike Reiners (mreiners@chof.net) Key Advisory Teacher, Mathematics Christ ’ s Household of Faith School St. Paul, MN. Standards For Mathematical Practice ~ 1 Make sense of problems and persevere in solving them.

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GSDMC 2013 CASIO Sponsorship Showcase Embracing Common Core with Technology

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  1. GSDMC 2013 CASIO Sponsorship Showcase Embracing Common Core with Technology Mike Reiners (mreiners@chof.net) Key Advisory Teacher, Mathematics Christ’s Household of Faith School St. Paul, MN

  2. Standards For Mathematical Practice ~ 1 Make sense of problems and persevere in solving them. • Teacher Behavior • Pose well crafted questions • Perturb students • Utilize “Lesson Design” not “Lesson Plans” • Understand the problem and guide students through the lesson • Be a risk taker • Student Behavior • It doesn’t always take 30 seconds to “answer” a question • Be a risk taker • Shouldn’t be punished OR rewarded on their first attempt

  3. Can you mathematically describe all of the jet streams of this water fountain, using only a single equation?

  4. Look for entry points to the solution…

  5. Try special cases and simpler forms…

  6. Change course if necessary…

  7. Explain correspondences between equations, verbal descriptions, tables, and graphs…

  8. Search for regularity or trends… A = –1.5 A = –2.1 A = –1.1

  9. Check your answer to the problem using a different method… (–2, 1.5) (–2.4, 0.756) (3.1, 0.891)

  10. …and identify correspondences between approaches.

  11. Standards For Mathematical Practice ~ 4 Model with mathematics. • Teacher Behavior • Facilitate Instruction • Be a Roaming Resource • Utilize prompting • Use the Socratic Method • Be a Cattle Dawg  • Use incorrect results as learning tool • Student Behavior • Use graphical/pictorial/ numeric/symbolic/verbal representations of the problem • Use appropriate estimates and assumptions • Analyze critical information

  12. Solve problems arising in everyday life…

  13. Realize that assumptions may need revision later…

  14. Map your relationships using such tools as diagrams, two-way tables, graphs, flowcharts, and formulas…

  15. Interpret your mathematical results in the context of the situation… People in the USA have half the life expectancy of people in Japan?!? Linear correlation suggests that life expectancy is steadily decreasing?!?

  16. …and improve the model if necessary.

  17. Standards For Mathematical Practice ~ 5 Use appropriate tools strategically. • Teacher Behavior • Teach appropriate use of tools for modeling • Utilize the appropriate tools in context • Don’t limit students to the most obvious or available tool(s) • Use incorrect techniques as learning tools • Student Behavior • Be able to choose correct tools and use them • Use multiple tools • Utilize given tools with efficiency • Communicate with/through the chosen tool/person • Self-evaluate accuracy of prediction using various tools

  18. Make sound decisions about when a tool is helpful…

  19. Know that technology can enable you to visualize results…

  20. …explore and deepen your understanding of concepts!

  21. Persevering is BEAUTIFUL!

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