teaching beyond the task
play

Teaching Beyond the Task Using Yesterdays Lesson to Prepare for - PowerPoint PPT Presentation

Teaching Beyond the Task Using Yesterdays Lesson to Prepare for Today Graham Fletcher gfletchy@gmail.com @gfletchy www.gfletchy.com ? 3 Questions ? 1 Billion Circles ? 100 circles : minute 144,000 circles : day


  1. Teaching Beyond the Task Using Yesterday’s Lesson to Prepare for Today Graham Fletcher gfletchy@gmail.com @gfletchy www.gfletchy.com

  2. ? 3 Questions

  3. ? 1 Billion Circles

  4. ? 100 circles : minute 144,000 circles : day 1,000,000,000 would take 6944 days 19+ years with no sleep

  5. ? 2nd Question

  6. Where does 1 billion go on the number line? 0 1 trillion

  7. Where does 1 billion go on the number line? 0 1 trillion

  8. ? 3rd Question

  9. Procedural Conceptual Fluency Understanding Application http://www.corestandards.org/other-resources/key-shifts-in-mathematics/

  10. 2000 o ff ered to buy for $50M 1.1 Billion Loss 24 Million Value 13 Billion Value

  11. adapt : to become better suited to survive in ones environment.

  12. adapt static

  13. adapt static ME YOU

  14. adapt YOU ME

  15. MathMaker.com The place where lonely math teachers go to find task.

  16. ?

  17. 4 full bags & 3 Whoppers from the 5th bag 19 19 19 19 3

  18. 3-Act Tasks Act 1: • Real world problem or scenario presented • What do you notice? What do you wonder? • Make estimates Act 2: • Identify missing variables and missing variables to solve • Define solution path using variables Act 3: • Solve and interpret results of the solution • Validate answer

  19. Most asked questions: • How often should we use 3-Act Tasks? • When should we use 3-Act tasks? How do they fit into the scope of a unit? • How long does one task usually take? • What if we don’t have the time?

  20. 5 The practices are: 1. Anticipating student responses to challenging mathematical tasks; 2. Monitoring students’ work on and engagement with the tasks; 3. Selecting particular students to present their mathematical work; 4. Sequencing the student responses that will be displayed in a specific order and; 5. C onnecting different students’ responses and connecting the responses to key mathematical ideas. MTMS: Vol. 14, No. 9, May 2009-5 Prac8ces for Orchestra8ng Produc8ve Mathema8cs Discussions

  21. 4 full bags 3 Whoppers from the 5th bag 19 Whoppers : bag

  22. 1 3 4 2 18 19 8 5 6 7 12 9 10 11 13 14 16 17 15

  23. 1-draw all count all

  24. 2-count all 1-draw all count all 2-count all

  25. 2-count all 1-draw all 3-count on count all 2-count all

  26. 2-count all 4-making tens from ones 1-draw all 3-count on count all 2-count all

  27. 2-count all 5-Place value 4-making tens partitioning from ones 1-draw all 3-count on count all 5-Place value partitioning 2-count all

  28. 6-Compensation 2-count all 5-Place value 4-making tens partitioning from ones 1-draw all 3-count on count all 5-Place value partitioning 2-count all

  29. What do we know?

  30. What do we know?

  31. Hundreds and 0-99 Charts

  32. Opening Work Session Closing

  33. Opening Work Session Closing

  34. Procedural Conceptual Fluency Understanding Application http://www.corestandards.org/other-resources/key-shifts-in-mathematics/

  35. Using the digits 1-9 at most one time each, create 4 numbers that have a sum of 87. + + +

  36. Estimation Station

  37. 16 100 20 20 1002 50 14 19 200 20 32

  38. 30 21 20 20 20 20 20 20

  39. Hundreds and 0-99 Charts

  40. Sounds of Imaging Numbers

  41. Teaching Beyond the Task Using Yesterday’s Lesson to Prepare for Today Graham Fletcher gfletchy@gmail.com @gfletchy www.gfletchy.com

Recommend


More recommend