Mathematics Educators Weekly Newsletter - Thursday, June 30, 2016

Mathematics Educators newsletter

Top new questions this week: What is a better way to explain these claims about limit are not true in general? As a TA who led calculus* 1 and 2 discussion section and holds office hour** in the previous year, I heard the following (wrong) arguments several times. $\displaystyle \lim_{x\to \infty} ... undergraduate-education calculus teaching   asked by fmlin 11 votes answered by Henry Towsner 3 votes What is the proper way to ask a "find the domain" question? A function is not really a function unless it's defined everywhere on its domain. So consider these three questions: Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be the square root function $f(x) = ... undergraduate-education functions   asked by Paul Wright 9 votes answered by Daniel Hast 18 votes Greatest hits from previous weeks: What books are like Knuth's Surreal Numbers? I'm looking to find more examples of books which bridge the gap between "story" and "mathematics" using narrative and all those other wonderful features we might find in Harry Potter or some other ... mathematical-pedagogy student-motivation   asked by John 17 votes answered by Stig Hemmer 17 votes What are good survey questions for statistics students to ask each other in class? I think this is a nontrivial question, because to avoid embarrassment or singling-out, I cannot ask students about: their age anything about their body (height, weight) anything involving money ... examples statistics   asked by Chris Cunningham 13 votes answered by JPBurke 8 votes How to explain the flipping of division by a fraction? This question is inspired by @DavidButlerUofA's discussion of "$\div \frac{2}{3}$ as $\times \frac{3}{2}$" in "Are fractions hard because they are like algebra?" Q. How can one best convey to ... primary-education fractions   asked by Joseph O'Rourke 25 votes answered by mweiss 29 votes Why are induction proofs so challenging for students? This forum already has many good, simple examples of induction proofs, a great resource. As I am soon to teach induction for the $n^\textrm{th}$ time—this time to some perhaps under-prepared ... undergraduate-education proofs induction   asked by Joseph O'Rourke 47 votes answered by DavidButlerUofA 35 votes What's a good policy for accepting late homework? There are a lot of ways of handling late homework submissions, of which I've only tried a few. The general policy I've settled on is something like the following. Homework must be submitted at the ... student-motivation homework   asked by Adam Bjorndahl 18 votes answered by Robert Talbert 7 votes

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