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Draft MEGL Outreach Spring 2017 Sean Lawton, Jack Love (GMU) MEGL - PowerPoint PPT Presentation

Jan 16, 2023 •133 likes •651 views

Draft MEGL Outreach Spring 2017 Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 1 / 15 Draft Introduction What is MEGL Outreach? Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15 Draft Introduction What is MEGL

  1. Draft MEGL Outreach Spring 2017 Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 1 / 15

  2. Draft Introduction What is MEGL Outreach? Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15

  3. Draft Introduction What is MEGL Outreach? We share mathematics with the community Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15

  4. Draft Introduction What is MEGL Outreach? We share mathematics with the community by bringing math activities to local elementary, middle, and high schools, and public libraries. Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15

  5. Draft Introduction What is MEGL Outreach? We share mathematics with the community by bringing math activities to local elementary, middle, and high schools, and public libraries. The aim of the activities is not to teach math, Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15

  6. Draft Introduction What is MEGL Outreach? We share mathematics with the community by bringing math activities to local elementary, middle, and high schools, and public libraries. The aim of the activities is not to teach math, but to share math. Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15

  7. Draft Introduction What is MEGL Outreach? We share mathematics with the community by bringing math activities to local elementary, middle, and high schools, and public libraries. The aim of the activities is not to teach math, but to share math. We want to change perceptions of mathematics. Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15

  8. Draft Introduction What is MEGL Outreach? We share mathematics with the community by bringing math activities to local elementary, middle, and high schools, and public libraries. The aim of the activities is not to teach math, but to share math. We want to change perceptions of mathematics. We do this by designing activities that make math fun and engaging. Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15

  9. Draft Introduction What is MEGL Outreach? We share mathematics with the community by bringing math activities to local elementary, middle, and high schools, and public libraries. The aim of the activities is not to teach math, but to share math. We want to change perceptions of mathematics. We do this by designing activities that make math fun and engaging. We want the students to know there are lots of ways to do math, to engage with it, to experience it. Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15

  10. Draft Introduction What is MEGL Outreach? We share mathematics with the community by bringing math activities to local elementary, middle, and high schools, and public libraries. The aim of the activities is not to teach math, but to share math. We want to change perceptions of mathematics. We do this by designing activities that make math fun and engaging. We want the students to know there are lots of ways to do math, to engage with it, to experience it. Here is an example... Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 2 / 15

  11. Draft Introduction Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 3 / 15

  12. Draft Let’s do the numbers Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 4 / 15

  13. Draft Let’s do the numbers Fall 2016 Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 4 / 15

  14. Draft Let’s do the numbers Fall 2016 17 activities, 6 locations, 550 students Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 4 / 15

  15. Draft Let’s do the numbers Fall 2016 17 activities, 6 locations, 550 students 1 location accounted for 341 of those students Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 4 / 15

  16. Draft Let’s do the numbers Fall 2016 17 activities, 6 locations, 550 students 1 location accounted for 341 of those students We had a goal to spread it out more this semester Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 4 / 15

  17. Draft Let’s do the numbers Fall 2016 17 activities, 6 locations, 550 students 1 location accounted for 341 of those students We had a goal to spread it out more this semester Spring 2017 Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 4 / 15

  18. Draft Let’s do the numbers Fall 2016 17 activities, 6 locations, 550 students 1 location accounted for 341 of those students We had a goal to spread it out more this semester Spring 2017 21 activities, 14 locations, 720 students Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 4 / 15

  19. Draft Let’s do the numbers Fall 2016 17 activities, 6 locations, 550 students 1 location accounted for 341 of those students We had a goal to spread it out more this semester Spring 2017 21 activities, 14 locations, 720 students Success! Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 4 / 15

  20. Draft Let’s do the numbers Fall 2016 17 activities, 6 locations, 550 students 1 location accounted for 341 of those students We had a goal to spread it out more this semester Spring 2017 21 activities, 14 locations, 720 students Success! Over 2,100 students since Summer 2015 Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 4 / 15

  21. Draft What’s new? A taste of group theory via the symmetries of a square. Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 5 / 15

  22. Draft What’s new? Motivation: symmetry in nature Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 6 / 15

  23. Draft What’s new? Motivation: symmetry in nature Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 6 / 15

  24. Draft What’s new? Motivation: symmetry in nature Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 6 / 15

  25. Draft What’s new? Motivation: symmetry in nature Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 6 / 15

  26. Draft What’s new? Motivation: symmetry in nature Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 6 / 15

  27. Draft What’s new? Motivation: symmetry in nature Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 6 / 15

  28. Draft What’s new? Motivation: symmetry in nature Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 6 / 15

  29. Draft What’s new? Students make snowflakes, then see how many different ways they can land on a square gameboard. Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 7 / 15

  30. Draft What’s new We give them names based on motions R 0 R 90 R 180 R 270 A B D A C D B C ↻ ↻ ↻ D C C B B A A D H V D 1 D 2 D C B A A D C B A B C D B C D A Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 8 / 15

  31. Draft What’s new? We say what it means to add symmetries Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 9 / 15

  32. Draft What’s new? We give them Cayley tables to complete Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 10 / 15

  33. Draft What’s new? And words to simplify H + R 90 + D 1 − R 270 + D 2 − V = R 180 − D 2 + R 0 + V + H − R 90 = Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 11 / 15

  34. Draft What’s new? Making comparisons with Z along the way D 4 Z Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 12 / 15

  35. Draft What’s new? Making comparisons with Z along the way D 4 Z closure ✓ closure ✓ Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 12 / 15

  36. Draft What’s new? Making comparisons with Z along the way D 4 Z closure ✓ closure ✓ identity ∶ 0 identity ∶ R 0 Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 12 / 15

  37. Draft What’s new? Making comparisons with Z along the way D 4 Z closure ✓ closure ✓ identity ∶ 0 identity ∶ R 0 inverses ∶ 7 + (− 7 ) = 0 inverses ∶ R 90 + R 270 = R 0 Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 12 / 15

  38. Draft What’s new? Making comparisons with Z along the way D 4 Z closure ✓ closure ✓ identity ∶ 0 identity ∶ R 0 inverses ∶ 7 + (− 7 ) = 0 inverses ∶ R 90 + R 270 = R 0 commutative ∶ 2 + 3 = 3 + 2 not ∶ R 90 + H ≠ H + R 90 Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 12 / 15

  39. Draft What’s new? Making comparisons with Z along the way D 4 Z closure ✓ closure ✓ identity ∶ 0 identity ∶ R 0 inverses ∶ 7 + (− 7 ) = 0 inverses ∶ R 90 + R 270 = R 0 commutative ∶ 2 + 3 = 3 + 2 not ∶ R 90 + H ≠ H + R 90 generators ∶ 1 ( cyclic ! ) generators ∶ R 90 , H ( not ! ) Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 12 / 15

  40. Draft What’s next? Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 13 / 15

  41. Draft What’s next? Extensions of Snowflake Symmetry Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 13 / 15

  42. Draft What’s next? Extensions of Snowflake Symmetry D 4 as a subgroup of S 4 Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 13 / 15

  43. Draft What’s next? Extensions of Snowflake Symmetry D 4 as a subgroup of S 4 Z / n Z Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 13 / 15

  44. Draft What’s next? Extensions of Snowflake Symmetry D 4 as a subgroup of S 4 Z / n Z Others? Sean Lawton, Jack Love (GMU) MEGL Outreach Spring 2017 13 / 15

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