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Mathematics Educators Beta
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Joseph O'Rourke
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student-motivation
102/100 score
15/20 answers

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Impact

~468k
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18 posts edited
8 helpful flags
2,061 votes cast
Summary Answers Questions Tags Badges Favorites Bounties Reputation All actions

38 Questions

Views Newest Activity Votes
36
66
votes
21
answers
17k
views

Why are induction proofs so challenging for students?

undergraduate-education proofs induction
Jul 21 at 10:21 guest1 179
15
38
votes
16
answers
8k
views

How to explain the flipping of division by a fraction?

primary-education fractions
Jul 21 at 10:30 guest1 179
20
33
votes
11
answers
4k
views

Beautiful planar geometry theorems not encountered in high school

undergraduate-education geometry
1d ago Joseph O'Rourke 20.4k
13
29
votes
14
answers
8k
views

Justifications for: Why learn mathematics?

mathematical-pedagogy student-motivation
Mar 7 '16 at 14:03 Community♦ 1
7
26
votes
5
answers
959
views

Wonder as motivation

student-motivation concept-motivation intuition
Mar 11 '15 at 22:27 DavidButlerUofA 7,867
2
22
votes
1
answer
435
views

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

mathematical-pedagogy secondary-education primary-education proofs
Mar 3 '16 at 18:31 John 1,027
15
21
votes
9
answers
3k
views

“A computer program IS a proof”: Introducing rigor via programming

secondary-education proofs computer-science
Mar 31 '15 at 1:53 Community♦ 1
11
18
votes
3
answers
4k
views

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

undergraduate-education intuition topology
Jul 22 '14 at 13:30 Community♦ 1
5
17
votes
5
answers
8k
views

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

undergraduate-education calculus limits
Sep 2 at 23:15 Sat 321
2
17
votes
5
answers
418
views

Against introducing precise definitions first

undergraduate-education secondary-education concept-motivation general-pedagogy definitions
Sep 19 '16 at 0:07 Community♦ 1
6
16
votes
6
answers
4k
views

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

topology
Jul 21 at 12:30 guest1 179
3
15
votes
5
answers
667
views

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

undergraduate-education linear-algebra
Jun 14 '14 at 22:26 Community♦ 1
2
13
votes
4
answers
741
views

Proofs that make theorems less clear

undergraduate-education proofs discrete-math induction
Aug 2 at 12:58 David 227
1
12
votes
4
answers
305
views

Collaboration on math homework assignments?

undergraduate-education proofs homework
Jul 21 at 11:51 guest1 179
2
12
votes
2
answers
170
views

Course-based undergraduate research experiences in math

mathematical-pedagogy course-design undergraduate-research
Sep 12 '17 at 4:40 ncr 2,736
5
11
votes
5
answers
342
views

Iconic image to explain the fundamental theorem of calculus?

calculus
Oct 15 '18 at 18:10 Peter Saveliev 121
 
11
votes
2
answers
248
views

How to motivate 'Theory of Computation'?

undergraduate-education student-motivation concept-motivation computer-science
Oct 24 '15 at 20:27 Benjamin Dickman 16.9k
 
10
votes
7
answers
422
views

How best to explain the logarithm to the mathematically naive?

mathematical-pedagogy secondary-education logarithm
Jul 21 at 11:33 guest1 179
1
10
votes
0
answers
256
views

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

undergraduate-education geometry undergraduate-research
May 7 at 23:10 Joseph O'Rourke 20.4k
5
10
votes
4
answers
699
views

Is Calculus Necessary?

calculus reference-request curriculum discrete-math
Aug 7 '18 at 15:52 Peter Saveliev 121
2
9
votes
1
answer
145
views

Motivation vs. Rigor

undergraduate-education proofs student-motivation
Jul 21 at 9:52 guest1 179
 
9
votes
5
answers
705
views

Motivation for polynomial long division

secondary-education algebra solving-polynomials
Sep 4 '18 at 2:32 Ben Crowell 10k
2
9
votes
4
answers
583
views

Why are proofs by contradiction counterintuitive?

mathematical-pedagogy proofs logic
Oct 23 '16 at 19:32 Community♦ 1
1
8
votes
1
answer
159
views

Multiplying two decimals using (camouflaged) binary representation

secondary-education primary-education multiplication-table
Aug 21 '17 at 14:47 paw88789 467
2
7
votes
1
answer
1k
views

Jason Padgett's “Struck by Genius”

creativity
Apr 25 at 21:44 Benjamin Dickman 16.9k
1
7
votes
3
answers
227
views

Why is it difficult to freely change between points and vectors?

undergraduate-education geometry vectors
Apr 19 at 7:50 Rodrigo A. Pérez 921
1
7
votes
4
answers
195
views

Beyond cubic polynomials: Applications?

undergraduate-education solving-polynomials
Oct 1 '18 at 17:34 Dan Fox 3,893
1
6
votes
3
answers
256
views

Is induction or recursion easier to understand?

undergraduate-education proofs induction recursion
Jun 22 '17 at 5:39 Dan Fox 3,893
 
6
votes
1
answer
123
views

Intuitive explantion: What is a Finsler metric?

concept-motivation geometry intuition
Sep 12 '14 at 4:31 Community♦ 1
 
5
votes
2
answers
284
views

Trends in math education: Majors? Applied math? Statistics?

undergraduate-education statistics applied-mathematics
Aug 14 '18 at 23:35 Joseph O'Rourke 20.4k
1 2 next
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