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Proof Blocks A Visual Approach to Logic and Proof

Proof Blocks A Visual Approach to Logic and Proof. Jenni Dirksen San Mateo High jenni@proofblocks.com. Jinna Hwang Francis Polytechnic High jinna@proofblocks.com. Agenda. Difficulties teaching two column proof Activity to set the stage What are these ProofBlocks anyway? Your turn

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Proof Blocks A Visual Approach to Logic and Proof

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  1. Proof Blocks A Visual Approach to Logic and Proof Jenni Dirksen San Mateo High jenni@proofblocks.com Jinna Hwang Francis Polytechnic High jinna@proofblocks.com

  2. Agenda • Difficulties teaching two column proof • Activity to set the stage • What are these ProofBlocks anyway? • Your turn • Research

  3. The Problem

  4. Setting the Stage: An Activity Warm-up activity for proof (~10 min) • Order the blocks of each color • Complete conditional statements on worksheet

  5. Setting the Stage: An Activity • What makes this activity easy?

  6. The Solution

  7. Proof Blocks

  8. Proof Blocks

  9. Proof Blocks

  10. Proof Blocks

  11. Proof Blocks

  12. Proof Blocks

  13. Proof Blocks

  14. Proof Blocks

  15. Definitions

  16. Definitions

  17. Connecting Blocks

  18. Connecting Blocks

  19. Proof Blocks

  20. Definitions

  21. Definitions

  22. Connecting Blocks

  23. Connecting Blocks

  24. Proof Blocks

  25. Proof Blocks

  26. Proof Blocks

  27. Proof Blocks

  28. An Extension

  29. An Extension

  30. An Extension Corresponding Parts of Congruent Triangles are Congruent

  31. An Extension Corresponding parts of congruent triangles are congruent

  32. An Extension Corresponding parts of congruent triangles are congruent

  33. An Extension Corresponding parts of congruent triangles are congruent

  34. On your whiteboards

  35. Connecting Blocks

  36. An Extension

  37. Try It Yourself!

  38. Proof Blocks in Action

  39. Proof Blocks in Action

  40. Proof Blocks in Action

  41. Go ProofBlocks! • Theorems as manipulatives

  42. Go ProofBlocks! • Theorems as manipulatives • Student approved

  43. Go ProofBlocks! • Theorems as manipulatives • Student approved • Visual, kinesthetic, and ELL

  44. Go ProofBlocks! • Theorems as manipulatives • Student approved • Visual, kinesthetic, and ELL • Easily checked logic

  45. Confidence vs. Achievement Confident / Somewhat Confident 2 Column ProofBlock

  46. Confidence vs. Achievement Confident / Somewhat Confident 52% 59% 2 Column ProofBlock

  47. Confidence vs. Achievement More than ½ the proof correct on test 52% 59% 2 Column ProofBlock

  48. Confidence vs. Achievement More than ½ the proof correct on test 52% 59% 43% 19% 2 Column ProofBlock

  49. Go ProofBlocks! • Theorems as manipulatives • Student approved • Visual, kinesthetic, and ELL • Easily checked logic • Special Education accommodations

  50. Questions? Photograph taken by Melissa Holmes

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