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OTF Connect Webinar - Working With Two Variable Relationships

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Slide deck from the Ontario Teachers Federation (OTF) Connect Session - Working With Two Variable Relationships held on Thursday April 21st, 2016.

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OTF Connect Webinar - Working With Two Variable Relationships

  1. 1. Working With Two Variable Relationships tapintoteenminds.com/OTF Ontario Teachers’ Federation CONNECT
  2. 2. @MathletePearcewww.tapintoteenminds.com BUZZWORDS
  3. 3. @MathletePearcewww.tapintoteenminds.com ENGAGEMENT “There are several types/categories of engagement – academic, cognitive, intellectual, institutional, emotional, behavioral, social, psychological, to name a few.” Parsons, J., & Taylor, L. (2011). Student Engagement: What do we know and what should we do? University Partners (pp 3). University of Alberta.
  4. 4. @MathletePearcewww.tapintoteenminds.com
  5. 5. @MathletePearcewww.tapintoteenminds.com ENGAGED YET?
  6. 6. @MathletePearcewww.tapintoteenminds.com MATH PROBLEMS
  7. 7. @MathletePearcewww.tapintoteenminds.com MATH PROBLEMS
  8. 8. @MathletePearcewww.tapintoteenminds.com 4. Homework 3. Examples 2. Definitions, Formulae, Procedures/Algorithms 1. Take Up Homework Math Class
  9. 9. @MathletePearcewww.tapintoteenminds.com The Four Stages of Learning
  10. 10. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery
  11. 11. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS
  12. 12. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery Learning journey begins at the origin (0, 0) COMPETENCE CONSCIOUSNESS
  13. 13. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery Learning journey begins at the origin (0, 0) Competence COMPETENCE CONSCIOUSNESS Consciousness Unconsciously Incompetent
  14. 14. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS “I don’t know what I don’t know.” Unconsciously Incompetent
  15. 15. @MathletePearcewww.tapintoteenminds.com Count how many candies there are. The Four Stages of Mastery COMPETENCE CONSCIOUSNESS “I don’t know what I don’t know.” Unconsciously Incompetent 1
  16. 16. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS “I don’t know what I don’t know.” Unconsciously Incompetent 1 Count how many candies there are. Student Might Be Thinking: “I’ll count the candies.”
  17. 17. @MathletePearcewww.tapintoteenminds.com Count how many candies there are. Student Might Be Thinking: “I’ll count the candies.” The Four Stages of Mastery COMPETENCE CONSCIOUSNESS “I don’t know what I don’t know.” Unconsciously Incompetent 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Answer & Justification: “I counted each candy and there are 21 total.”
  18. 18. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 Consciously Incompetent “I know what I don’t know.”
  19. 19. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 Consciously Incompetent “I know what I don’t know.” Count how many candies there are. Student Might Be Thinking: “I know I’m supposed to multiply, but I’m not sure how.”
  20. 20. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 Consciously Incompetent “I know what I don’t know.” Count how many candies there are. Student Might Be Thinking: “I know I’m supposed to multiply, but I’m not sure how.” 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Answer & Justification: “I counted each candy and there are 21 total.”
  21. 21. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 3 Consciously Competent “I grow and I know; it starts to show.”
  22. 22. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 3 Consciously Competent “I grow and I know; it starts to show.” Count how many candies there are. Student Might Be Thinking: Answer & Justification: “I see 7 groups of 3 candies.”
  23. 23. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 3 Consciously Competent “I grow and I know; it starts to show.” Count how many candies there are. Student Might Be Thinking: Answer & Justification: “I see 7 groups of 3 candies.” “I added 3 candies, 7 times. There are 21 total candies.” 3 6 9 12 15 18 21
  24. 24. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 3 Consciously Competent “I grow and I know; it starts to show.” Count how many candies there are. Student Might Be Thinking: Answer & Justification: “I see 3 groups of 7 candies.” “I added 7 candies, 3 times. There are 21 total candies.” 7 14 21
  25. 25. @MathletePearcewww.tapintoteenminds.com The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 3 4 Unconsciously Competent “I simply go because of what I know.”
  26. 26. @MathletePearcewww.tapintoteenminds.com Count how many candies there are. Student Might Be Thinking: “There are 3 groups of 7 candies.” Answer & Justification: “There are 21 candies because 7 times 3 is 21. The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 3 4 Unconsciously Competent “I simply go because of what I know.” 7 3
  27. 27. @MathletePearcewww.tapintoteenminds.com Four Stages of Mastery COMPETENCE CONSCIOUSNESS 2 3 4 Consciously Competent Consciously Incompetent 1 Unconsciously Incompetent Unconsciously Competent
  28. 28. @MathletePearcewww.tapintoteenminds.com Consciously Incompetent The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 3 4 Unconsciously Competent Consciously Competent Unconsciously Incompetent1 2 3 4
  29. 29. Interconnected Visual and Concrete Contextual VISION @MathletePearcewww.tapintoteenminds.com
  30. 30. Interconnected VISION @MathletePearcewww.tapintoteenminds.com Visual and Concrete Contextual TASKS
  31. 31. Visual and Concrete Contextual TASKS VISION @MathletePearcewww.tapintoteenminds.com INQUIRY Construct Conceptual Understanding Interconnected
  32. 32. Connect to Prior Knowledge Visual and Concrete Contextual TASKS CONNECTIONS VISION @MathletePearcewww.tapintoteenminds.com INQUIRY Construct Conceptual Understanding
  33. 33. Visual and Concrete Contextual TASKS CONSOLIDATE VISION @MathletePearcewww.tapintoteenminds.com INQUIRY Move Towards Procedural Fluency Connect to Prior Knowledge CONNECTIONS Construct Conceptual Understanding
  34. 34. 3 Act Math Tasks iTunes U kylep.ca/curiousmath1p @MathletePearcewww.tapintoteenminds.com
  35. 35. 3 Act Math Tasks tapintoteenminds.com/3act-math @MathletePearcewww.tapintoteenminds.com On The Web
  36. 36. @MathletePearcewww.tapintoteenminds.com playkh.complaykh.comGo to:
  37. 37. @MathletePearcewww.tapintoteenminds.com wiz623
  38. 38. @MathletePearcewww.tapintoteenminds.com Tap wiz623
  39. 39. @MathletePearcewww.tapintoteenminds.com Tap wiz623
  40. 40. @MathletePearcewww.tapintoteenminds.com Tap wiz623
  41. 41. @MathletePearcewww.tapintoteenminds.com Tap, then wait. wiz623
  42. 42. @MathletePearcewww.tapintoteenminds.com Tap wiz623
  43. 43. “Walk Out” tapintoteenminds.com/3act-math/walk-out/ @MathletePearcewww.tapintoteenminds.com
  44. 44. @MathletePearcewww.tapintoteenminds.com wiz623
  45. 45. “Candle's Burning” tapintoteenminds.com/3act-math/candles-burning/ @MathletePearcewww.tapintoteenminds.com
  46. 46. “Candle's Burning” tapintoteenminds.com/3act-math/candles-burning/ @MathletePearcewww.tapintoteenminds.com
  47. 47. “Draining the Pool” tapintoteenminds.com/draining-the-pool/ @MathletePearcewww.tapintoteenminds.com
  48. 48. “Draining the Pool” tapintoteenminds.com/draining-the-pool/ @MathletePearcewww.tapintoteenminds.com
  49. 49. “Draining the Pool” tapintoteenminds.com/draining-the-pool/ @MathletePearcewww.tapintoteenminds.com
  50. 50. “Draining the Pool” tapintoteenminds.com/draining-the-pool/ @MathletePearcewww.tapintoteenminds.com
  51. 51. @MathletePearcewww.tapintoteenminds.com Consciously Incompetent The Four Stages of Mastery COMPETENCE CONSCIOUSNESS 1 2 3 4 Unconsciously Competent Consciously Competent Unconsciously Incompetent1 2 3 4
  52. 52. Visual and Concrete Contextual TASKS CONSOLIDATE VISION @MathletePearcewww.tapintoteenminds.com INQUIRY Move Towards Procedural Fluency Connect to Prior Knowledge CONNECTIONS Construct Conceptual Understanding
  53. 53. Working With Two Variable Relationships tapintoteenminds.com/OTF Ontario Teachers’ Federation CONNECT

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