User DavidButlerUofA

86 votes

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Why are induction proofs so challenging for students?

answered Nov 20, 2015 at 13:40

60 votes

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What is a good method for drawing a Möbius band on the blackboard?

answered Nov 9, 2015 at 22:23

31 votes

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Good way to explain why an absolute value in an equation does not automatically mean to make the other side +/-

answered Oct 31, 2014 at 22:31

25 votes

Probability Misconception: Two Bags with Black and White Marbles

answered Nov 3, 2014 at 20:29

23 votes

How does one explain that transformations 'inside' a function operate in the opposite direction than intuition suggests?

answered Oct 22, 2014 at 10:58

21 votes

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The definition of natural log and e

answered Jul 1, 2014 at 14:58

21 votes

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How can I convince someone to use a calculator and not worry about the mechanics too much?

answered May 17, 2015 at 23:40

19 votes

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When $-x$ is positive

answered May 5, 2015 at 23:42

17 votes

What good is the phrase "Taylor series"?

answered Dec 14, 2015 at 0:24

16 votes

What is the rationale for the absent (+) in mixed fractions?

answered Jul 11, 2014 at 7:44

16 votes

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Helping a student exasperated by abstract concepts in linear algebra

answered Oct 5, 2016 at 22:55

15 votes

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Why are hyperbolic functions given "short shrift" at "low" levels of math?

answered Jul 14, 2014 at 19:23

15 votes

What is an efficient way of drawing surfaces in multivariable calculus?

answered Nov 13, 2015 at 4:38

14 votes

Surprising examples of Cavalieri's principle

answered Sep 23, 2014 at 23:43

13 votes

What could be good non-mathematical analogies to explain the difference between the words theorem, proposition, lemma and corollaries?

answered Nov 17, 2015 at 19:56

13 votes

Where can I find realistic data for college-level elementary statistics problems?

answered Apr 29, 2015 at 20:16

13 votes

Pedagogical quandary with the definition of $i$

answered Jan 9, 2015 at 15:19

12 votes

how is volume different than capacity

answered Feb 18, 2015 at 2:18

12 votes

Wonder as motivation

answered Mar 11, 2015 at 22:27

12 votes

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Explaining mathematics, giving talks, and using the blackboard as a support

answered Nov 18, 2014 at 7:07

11 votes

Substituting $x=1$ into $px^{p-1}$, why do so many students get $p^{p-1}$?

answered Sep 13, 2014 at 5:12

11 votes

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Open-ended tasks for teaching students about integration techniques

answered Mar 20, 2015 at 20:17

11 votes

Correct pronunciation of 'xth' (and workarounds for those who find it a tongue-twister)

answered Nov 2, 2015 at 12:10

10 votes

How do you explain why perpendicular lines have negative reciprocated slopes?

answered Oct 1, 2015 at 10:44

10 votes

Systems of linear equations in grade 3?

answered May 7, 2015 at 11:25

10 votes

Any tips in explaining the central limit theorem in statistics?

answered Nov 5, 2014 at 0:28

10 votes

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A formula for the area of a rectangle

answered May 18, 2017 at 18:57

9 votes

How should students say in words the notation for a limit?

answered Sep 4, 2019 at 0:10

9 votes

A basic game to make arguments about

answered Nov 12, 2014 at 21:40

9 votes

How to react to students saying that they are allergic to applied mathematics?

answered Sep 24, 2014 at 14:55

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83 Answers

Why are induction proofs so challenging for students?

What is a good method for drawing a Möbius band on the blackboard?

Good way to explain why an absolute value in an equation does not automatically mean to make the other side +/-

Probability Misconception: Two Bags with Black and White Marbles

How does one explain that transformations 'inside' a function operate in the opposite direction than intuition suggests?

The definition of natural log and e

How can I convince someone to use a calculator and not worry about the mechanics too much?

When $-x$ is positive

What good is the phrase "Taylor series"?

What is the rationale for the absent (+) in mixed fractions?

Helping a student exasperated by abstract concepts in linear algebra

Why are hyperbolic functions given "short shrift" at "low" levels of math?

What is an efficient way of drawing surfaces in multivariable calculus?

Surprising examples of Cavalieri's principle

What could be good non-mathematical analogies to explain the difference between the words theorem, proposition, lemma and corollaries?

Where can I find realistic data for college-level elementary statistics problems?

Pedagogical quandary with the definition of $i$

how is volume different than capacity

Wonder as motivation

Explaining mathematics, giving talks, and using the blackboard as a support

Substituting $x=1$ into $px^{p-1}$, why do so many students get $p^{p-1}$?

Open-ended tasks for teaching students about integration techniques

Correct pronunciation of 'xth' (and workarounds for those who find it a tongue-twister)

How do you explain why perpendicular lines have negative reciprocated slopes?

Systems of linear equations in grade 3?

Any tips in explaining the central limit theorem in statistics?

A formula for the area of a rectangle

How should students say in words the notation for a limit?

A basic game to make arguments about

How to react to students saying that they are allergic to applied mathematics?