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118 Answers

Votes Activity Newest
58
Why is it possible to teach real numbers before even rigorously defining them?
Nov 2 '19 at 5:07
27
How to respond to “solve this equation” in a basic algebra class
Apr 8 '17 at 12:57
19
Given a 3 4 5 triangle, how do you know that it is a right triangle?
Oct 28 '15 at 13:08
18
How to explain that the sums of numerators over sums of denominators isn't the same as the mean of ratios?
Sep 27 '19 at 23:31
18
Is there a more telling name for “Calculus 2”?
Aug 9 '19 at 2:10
14
Why do we teach even and odd functions?
Sep 11 '17 at 23:36
12
Why do we teach the Rational Root Theorem? (high school algebra 2)
Feb 23 at 20:15
12
A parabolic arc is not semicircular. But students think so
Feb 9 '15 at 16:53
11
Should $\varphi$ be monotone in the integration by substitution?
Aug 11 '15 at 20:04
10
Why would you teach Calculus before teaching Real Analysis?
Feb 25 '16 at 19:10
10
How do you explain why perpendicular lines have negative reciprocated slopes?
Oct 1 '15 at 1:26
9
Why should or shouldn't we teach functions to 15 year olds?
Apr 19 at 17:19
9
Ideas for explaining 4D and higher dimensions
Apr 6 '20 at 0:39
9
How can I explain why numerical integration is easy, but symbolic integration is hard?
May 29 '19 at 1:21
9
How to make students comfortable with the use of axiom of choice in analysis
Apr 11 '19 at 20:07
9
In what curricula are “rectangles” defined so as to exclude squares?
Mar 6 '18 at 17:40
8
Fear of 3-dimensions
Feb 9 '20 at 3:41
8
An intuitive explanation of l'Hôpital's rule for ∞/∞
Nov 26 '19 at 5:02
8
How to solve the problem of Wolfram Alpha?
May 19 '16 at 13:07
8
Applications of MVT for Integrals, suitable for calculus 1
May 2 '16 at 21:11
8
Why are induction proofs so challenging for students?
Nov 19 '15 at 4:57
7
How should I answer questions about the purpose of learning math?
Nov 19 '20 at 1:36
7
Does anyone use the cubic formula these days?
Sep 28 '19 at 18:46
7
Why do you need to distinguish between apparently identical objects in probability?
Sep 6 '19 at 17:14
7
Easy examples of correspondence between global and local, as preparation for Gauss's theorem and Stokes's theorem
Sep 3 '19 at 1:31
7
Who actually uses $\mathbf i$, $\mathbf j$, $\mathbf k$ for the standard unit vectors?
Mar 4 '18 at 16:26
7
L'Hopital's Rule: Why do we need it?
Nov 9 '17 at 18:22
7
How much credit to give a short exam question with one error?
Jun 28 '17 at 1:50
7
Double Integral: Area or Volume?
Oct 22 '16 at 16:43
7
Why does the widespread erroneous definition of “irrational number” persist without being taught?
Jul 11 '16 at 20:28
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