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Here I am from the UBC Teacher Education Program!

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Blog Reading - Thinking of Math Textbooks

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Here is an interesting critical-thinking take on the ways that math textbooks may 'speak to' their readers (assuming that people actually do read and listen to math textbooks...) Wagner & Herbel-Eisenmann on math textbooks and the ways they may position their readers Please read this thought-provoking article and blog on: •How you respond to the examples given here -- as a teacher and as a former student •What are your thoughts about the reasons for using/ not using textbooks, and the changing role of math textbooks in schools? The author gave an example that TMM's initial "investigation" whose instruction included much more exclusive imperatives (or "scribbler" imperatives such as "write", "calculate" and "copy" ) than inclusive imperatives ("thinker" imperatives like "describe", "explain", "prove"). I agree that it is appropriate to scribble before thi...
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Wordy Puzzle (due Sept. 25)

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From the first sentence we knows that "my father's son" is the speaker. So, "that man's father is my father's son" can be converted to that man's father is me who is the speaker. So, that man is speaker's son. The way the speaker used to illustrate their relationship is not straight forward, which makes this problem difficult and interesting.
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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.
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