Joseph O'Rourke's user avatar
Joseph O'Rourke's user avatar
Joseph O'Rourke's user avatar
Joseph O'Rourke
  • Member for 9 years
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82 votes
21 answers
24k views

Why are induction proofs so challenging for students?

44 votes
18 answers
11k views

How to explain the flipping of division by a fraction?

37 votes
12 answers
5k views

Beautiful planar geometry theorems not encountered in high school

34 votes
15 answers
9k views

Justifications for: Why learn mathematics?

28 votes
5 answers
1k views

Wonder as motivation

24 votes
1 answer
709 views

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

22 votes
9 answers
3k views

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

20 votes
3 answers
5k views

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

20 votes
2 answers
1k views

Let P be a polygon

19 votes
4 answers
3k views

Does anyone teach logarithms via slide rules?

18 votes
5 answers
530 views

Against introducing precise definitions first

17 votes
5 answers
12k views

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

16 votes
11 answers
2k views

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

16 votes
6 answers
9k views

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

15 votes
6 answers
1k views

Iconic image to explain the fundamental theorem of calculus?

15 votes
5 answers
926 views

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

14 votes
4 answers
908 views

Proofs that make theorems less clear

13 votes
4 answers
404 views

Collaboration on math homework assignments?

13 votes
4 answers
991 views

Is Calculus Necessary?

12 votes
2 answers
240 views

Course-based undergraduate research experiences in math

12 votes
8 answers
775 views

How best to explain the logarithm to the mathematically naive?

11 votes
11 answers
4k views

Ideas for explaining 4D and higher dimensions

11 votes
2 answers
284 views

How to motivate 'Theory of Computation'?

10 votes
1 answer
245 views

College undergraduate geometry courses

10 votes
4 answers
877 views

Why are proofs by contradiction counterintuitive?

10 votes
0 answers
617 views

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

9 votes
5 answers
1k views

Motivation for polynomial long division

9 votes
1 answer
178 views

Motivation vs. Rigor

9 votes
2 answers
401 views

Fear of 3-dimensions

8 votes
1 answer
177 views

Multiplying two decimals using (camouflaged) binary representation