Skip to main content
Joseph O'Rourke's user avatar
Joseph O'Rourke's user avatar
Joseph O'Rourke's user avatar
Joseph O'Rourke
  • Member for 10 years, 2 months
  • Last seen this week
87 votes
21 answers
26k views

Why are induction proofs so challenging for students?

18 votes
5 answers
14k views

What is the most difficult concept to grasp in Calculus 1?

46 votes
18 answers
12k views

How to explain the flipping of division by a fraction?

17 votes
6 answers
11k views

Explanation for cutting a Möbius strip at one-third its width

35 votes
15 answers
9k views

Justifications for: Why learn mathematics?

21 votes
3 answers
6k views

Pedagogical challenge: Homeomorphic vs. Homotopy equivalent vs. Homologous?

40 votes
13 answers
5k views

Beautiful planar geometry theorems not encountered in high school

11 votes
11 answers
4k views

Ideas for explaining 4D and higher dimensions

23 votes
9 answers
3k views

"A computer program IS a proof": Introducing rigor via programming

20 votes
4 answers
3k views

Does anyone teach logarithms via slide rules?

7 votes
1 answer
2k views

Jason Padgett's "Struck by Genius"

17 votes
11 answers
2k views

Natural occurrences of a to the (b to the c)?

23 votes
2 answers
2k views

Can we avoid confusion over using "let" as a quantifier?

15 votes
6 answers
2k views

Iconic image to explain the fundamental theorem of calculus?

8 votes
10 answers
2k views

How to explain (FALSE => TRUE) is TRUE [duplicate]

4 votes
2 answers
1k views

Is the Wronskian still assumed for graduate education?

9 votes
5 answers
1k views

Motivation for polynomial long division

29 votes
5 answers
1k views

Wonder as motivation

15 votes
5 answers
1k views

Should the cross-product in $\mathbb{R}^3$ be discussed in Linear Algebra?

13 votes
4 answers
1k views

Is Calculus Necessary?

14 votes
4 answers
950 views

Proofs that make theorems less clear

10 votes
4 answers
931 views

Why are proofs by contradiction counterintuitive?

3 votes
4 answers
893 views

What is an algebraic explanation of why the product of the slopes of perpendicular lines is $-1$? [duplicate]

12 votes
8 answers
848 views

How best to explain the logarithm to the mathematically naive?

25 votes
1 answer
775 views

Is there a Piagetian age at which proofs can be comprehended?

1 vote
3 answers
704 views

When are students taught implicit and parametric representations of curves?

10 votes
0 answers
703 views

Use of Lockhart's *Measurement* in a course?

4 votes
2 answers
620 views

Advice: How to cite literature for high-school students?

19 votes
5 answers
563 views

Against introducing precise definitions first

7 votes
3 answers
500 views

Is induction or recursion easier to understand?