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Showing posts from December, 2019

Reading & response: From Indigenous mathematician Ed Doolittle

Doolittle (2018) Off the grid. In S.Gerofsky (Ed.)  Geometries of liberation.  New York: Palgrave, pp. 101-121. Please read this very interesting piece and write a blog post on it by Sunday, December 8 at 8:00 PM. Suggested prompts: Talk about 2 or 3 'stops' you had in reading this: things that stopped you, surprised you, etc. Think about how this paper might offer new approaches to Indigenizing mathematics curriculum and teaching. Does it challenge or stretch any of your ideas around this? The author questions the grid concept "We know well the benefits of using the grid, but what are the  dangers? What are the preconditions for the grid which may not be satisfied in real-world applications? What are the extremes at which the grid can  fail? What are the consequences of failure? And what are the alternatives?" This questioning process makes me think of the development of Non-Euclidean geometry which also starts from questioning the truth of Euclid's 5...

The Wine & Rats Puzzle

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Solution: We can use the following Binary number system to solve this puzzle. First, number the bottles from 1 - 1000. Convert the bottle number to binary. Number the rats D1, D1, D2, ...., D9 representing the binary digits. Then, rats will drink wine in the following rule: Binary number of bottle 1 is 0000000001. Rat D1 will drink wine from bottle 1 Binary number of bottle 5 is 0000000101. Rats D1 and D3 will drink wine from bottle 6. Binary number of bottle 12 is 0000001100. Rats D3 and D4 will drink wine from bottle 12. ..... Hence, by seeing which rats have died, we can figure out which bottle is poisoned. For example: If rats D3 and D4 die, then we know the bottle 12 is poisoned. 1000 bottles can be represented with 10 binary digits (binary number of bottle 1000 is 1111101000) , and we have 10 rats (each rat represents 1 digit), so we are able to use 10 rats to test 1000 bottles of wine.

Unit Plan 2nd Draft

Unit plan: https://drive.google.com/file/d/1dEA-K0NxATPNhRoQvEhQ9RBmYYXjUbVC/view?usp=sharing Lesson Plans: Lesson Plan 1 Lesson Plan 2 Lesson Plan 3