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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, 1 month
  • Last seen more than a week ago
87 votes
21 answers
26k views

Why are induction proofs so challenging for students?

46 votes
18 answers
12k views

How to explain the flipping of division by a fraction?

40 votes
13 answers
5k views

Beautiful planar geometry theorems not encountered in high school

35 votes
15 answers
9k views

Justifications for: Why learn mathematics?

29 votes
5 answers
1k views

Wonder as motivation

25 votes
1 answer
767 views

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

23 votes
9 answers
3k views

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

23 votes
2 answers
2k views

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

21 votes
3 answers
5k views

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

20 votes
4 answers
3k views

Does anyone teach logarithms via slide rules?

19 votes
5 answers
560 views

Against introducing precise definitions first

18 votes
5 answers
14k views

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

17 votes
6 answers
11k views

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

17 votes
11 answers
2k views

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

15 votes
5 answers
1k views

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

15 votes
6 answers
2k views

Iconic image to explain the fundamental theorem of calculus?

14 votes
4 answers
945 views

Proofs that make theorems less clear

13 votes
4 answers
438 views

Collaboration on math homework assignments?

13 votes
4 answers
1k views

Is Calculus Necessary?

12 votes
2 answers
261 views

Course-based undergraduate research experiences in math

12 votes
8 answers
846 views

How best to explain the logarithm to the mathematically naive?

11 votes
2 answers
303 views

How to motivate 'Theory of Computation'?

11 votes
11 answers
4k views

Ideas for explaining 4D and higher dimensions

10 votes
1 answer
280 views

College undergraduate geometry courses

10 votes
4 answers
929 views

Why are proofs by contradiction counterintuitive?

10 votes
0 answers
693 views

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

10 votes
1 answer
200 views

Motivation vs. Rigor

9 votes
5 answers
1k views

Motivation for polynomial long division

9 votes
2 answers
405 views

Fear of 3-dimensions

8 votes
10 answers
2k views

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