Monday, July 22 2013 Summer Immersion Resources
Monday's Schedule | |
File Size: | 83 kb |
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Session C: Extending the Locker Problem with Dr. Timothy McKeny, The Ohio State University.
Tim shared problems from his work and the work of E. Johnston. The problems are attached below and Tim also wanted everyone to have this link to Stan Wagon's piece on these kinds of problems: http://stanwagon.com/public/TorrenceWagon.pdf . Tim can be reached for further questions and comments by clicking here.
Tim shared problems from his work and the work of E. Johnston. The problems are attached below and Tim also wanted everyone to have this link to Stan Wagon's piece on these kinds of problems: http://stanwagon.com/public/TorrenceWagon.pdf . Tim can be reached for further questions and comments by clicking here.
Locker Problems | |
File Size: | 153 kb |
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Session D: Jug Problems with Bob.
Taking the classic 3-pint, 5-pint, make 4-pints exactly problem and pushing it. Credit for the problems to Joshua Zucker and E. Johnston. Print copy attached below. Bob got every table started on the same problem, then took different tables in different directions. He claims that was more fun for him and gave him more flexibility to push tables in directions that they seem inclined toward anyway. If you'd like to see the Die Hard 3 scene where Bruce Willis and Samuel L Jackson work this problem, it is here. It is NOT SAFE FOR WORK as it has coarse language, but it does show how being in a Math Teacher Circle could save your life. The geometric extensions (the triangle grid) comes from work of the famous geometer, Coxeter (Coxeter, H. S. M. and Greitzer, S. L. "The Three Jug Problem." §4.6 in Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 89-93, 1967.) It introduces trilinear coordinates without scaring anyone.
Taking the classic 3-pint, 5-pint, make 4-pints exactly problem and pushing it. Credit for the problems to Joshua Zucker and E. Johnston. Print copy attached below. Bob got every table started on the same problem, then took different tables in different directions. He claims that was more fun for him and gave him more flexibility to push tables in directions that they seem inclined toward anyway. If you'd like to see the Die Hard 3 scene where Bruce Willis and Samuel L Jackson work this problem, it is here. It is NOT SAFE FOR WORK as it has coarse language, but it does show how being in a Math Teacher Circle could save your life. The geometric extensions (the triangle grid) comes from work of the famous geometer, Coxeter (Coxeter, H. S. M. and Greitzer, S. L. "The Three Jug Problem." §4.6 in Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 89-93, 1967.) It introduces trilinear coordinates without scaring anyone.
Three Jugs Problems | |
File Size: | 429 kb |
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After the Jug Band Problems | |
File Size: | 50 kb |
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What would YOU like to add? Send a note to [email protected] with your notes about the problems here. What did you try? What comments do you have? Resources?