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Channel: Mike Pawliuk » Math Thoughts
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Every Day I’m Simulating

You can simulate buying this shirt!   Have you ever tried to explain/inflict forcing on your non-set theory friends? Let me tell you it is hard. In my ongoing effort to try to explain everything to...

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Is Algebra Necessary? – Andrew Hacker

Today on The Sunday Edition, on CBC Radio 1, host Michael Enright interviewed Andrew Hacker, about his controversial views on mathematics education. Basically, he thinks that demanding that all high...

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Perceptions about Mathematics

“When someone asks you what you do as a mathematician, they take the most advanced training they have in mathematics and assume that you do a much harder version of that.” This is a paraphrase of...

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Math Anxiety

The brain… in my head! A study was done at the University of Chicago looking at whether math can cause physical pain. (The rather laughable title of the article is “Doing Math Really Does Make Your...

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Secret Santa 4: The Surprise

Surprise! After a long hiatus (7 months!) I am finally back to writing. This week I revisited an old problem that Sam Coskey told me a couple of years ago. Some of you will remember this “Secret Santa...

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Van der Waerden’s Theorem is false for $\omega_1$

One of my main research problems involves something I think is related to arithmetic progressions in $\Z$. After learning a nice proof of Van der Waerden’s Theorem, and sharing it with colleagues,...

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Delta-Epsilon Magic

In my second year of undergrad I had a formative experience with Delta-Epsilon proofs that stuck with me for a long time. Last week I was able to provide a similar experience for some first year...

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Succeeding in First-Year Calculus: My guides to MAT135 and MAT137

Last year I wrote a guide for students taking the University of Toronto’s big (2000 student) first year calculus class MAT135. It was so successful that I wrote another guide to MAT137, the more...

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