User Joseph O'Rourke

45

74

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21

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21k

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Why are induction proofs so challenging for students?

Jul 21 '19 at 10:21 Community♦ 1

19

43

votes

17

answers

10k

views

How to explain the flipping of division by a fraction?

primary-education fractions

Feb 10 '20 at 19:58 Community♦ 1

26

37

votes

12

answers

4k

views

Beautiful planar geometry theorems not encountered in high school

undergraduate-education geometry

May 17 at 14:36 Jyrki Lahtonen 1,848

15

34

votes

15

answers

8k

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Justifications for: Why learn mathematics?

mathematical-pedagogy student-motivation

Apr 30 at 21:11 Adam Rubinson 392

9

28

votes

5

answers

1k

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Wonder as motivation

student-motivation concept-motivation intuition

Mar 11 '15 at 22:27 Community♦ 1

2

24

votes

1

answer

646

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

mathematical-pedagogy secondary-education primary-education proofs

Feb 13 at 2:21 Xander Henderson 5,475

15

22

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9

answers

3k

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

secondary-education proofs computer-science

Mar 31 '15 at 1:53 Community♦ 1

11

19

votes

3

answers

5k

views

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

undergraduate-education intuition topology

Mar 6 '20 at 22:33 Saul Linzenhoph 1

6

18

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5

answers

9k

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

undergraduate-education calculus limits

Sep 2 '19 at 23:15 Sat 331

1

17

votes

11

answers

2k

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

functions exponential exponent

Mar 22 at 6:18 nanoman 271

2

17

votes

5

answers

476

views

Against introducing precise definitions first

undergraduate-education secondary-education concept-motivation general-pedagogy definitions

Sep 19 '16 at 0:07 Community♦ 1

4

16

votes

4

answers

3k

views

Does anyone teach logarithms via slide rules?

logarithm

Jan 4 '20 at 21:14 Chris Cunningham♦ 17.6k

6

16

votes

6

answers

7k

views

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

topology

Jul 21 '19 at 12:30 guest1 199

3

15

votes

5

answers

832

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

821

views

Proofs that make theorems less clear

undergraduate-education proofs discrete-math induction

Aug 2 '19 at 12:58 David 237

1

12

votes

4

answers

359

views

Collaboration on math homework assignments?

undergraduate-education proofs homework

Jul 21 '19 at 11:51 guest1 199

5

12

votes

5

answers

722

views

Iconic image to explain the fundamental theorem of calculus?

calculus

Oct 15 '18 at 18:10 Peter Saveliev 673

4

12

votes

4

answers

910

views

Is Calculus Necessary?

calculus reference-request curriculum discrete-math

Aug 7 '18 at 15:52 Peter Saveliev 673

2

12

votes

2

answers

207

views

Course-based undergraduate research experiences in math

mathematical-pedagogy course-design undergraduate-research

Sep 12 '17 at 4:40 ncr 2,866

11

votes

8

answers

602

views

How best to explain the logarithm to the mathematically naive?

mathematical-pedagogy secondary-education logarithm

Mar 17 '20 at 20:22 NNOX Apps 1

11

votes

2

answers

266

views

How to motivate 'Theory of Computation'?

undergraduate-education student-motivation concept-motivation computer-science

Oct 24 '15 at 20:27 Community♦ 1

7

10

votes

11

answers

4k

views

Ideas for explaining 4D and higher dimensions

undergraduate-education geometry

Aug 13 at 10:27 Cees Timmerman 181

1

10

votes

0

answers

496

views

Use of Lockhart's Measurement in a course?

undergraduate-education geometry undergraduate-research

May 7 '19 at 23:10 Joseph O'Rourke 26.6k

9

votes

1

answer

212

views

College undergraduate geometry courses

undergraduate-education geometry discrete-math differential-geometry

Sep 21 '20 at 20:22 amWhy 1,999

1

9

votes

2

answers

354

views

Fear of 3-dimensions

undergraduate-education

Feb 9 '20 at 16:15 Joseph O'Rourke 26.6k

2

9

votes

1

answer

162

views

Motivation vs. Rigor

undergraduate-education proofs student-motivation

Jul 21 '19 at 9:52 guest1 199

9

votes

5

answers

945

views

Motivation for polynomial long division

secondary-education algebra solving-polynomials

Sep 4 '18 at 2:32 Community♦ 1

2

9

votes

4

answers

733

views

Why are proofs by contradiction counterintuitive?

mathematical-pedagogy proofs logic

Oct 23 '16 at 19:32 Community♦ 1

1

8

votes

1

answer

382

views

Let P be a polygon

undergraduate-education mathematical-pedagogy logic

Apr 8 '20 at 6:47 user21820 2,046

1

8

votes

1

answer

173

views

Multiplying two decimals using (camouflaged) binary representation

secondary-education primary-education multiplication-table

Aug 21 '17 at 14:47 paw88789 597

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50 Questions

Why are induction proofs so challenging for students?

How to explain the flipping of division by a fraction?

Beautiful planar geometry theorems not encountered in high school

Justifications for: Why learn mathematics?

Wonder as motivation

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

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

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

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

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

Against introducing precise definitions first

Does anyone teach logarithms via slide rules?

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

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

Proofs that make theorems less clear

Collaboration on math homework assignments?

Iconic image to explain the fundamental theorem of calculus?

Is Calculus Necessary?

Course-based undergraduate research experiences in math

How best to explain the logarithm to the mathematically naive?

How to motivate 'Theory of Computation'?

Ideas for explaining 4D and higher dimensions

Use of Lockhart's Measurement in a course?

College undergraduate geometry courses

Fear of 3-dimensions

Motivation vs. Rigor

Motivation for polynomial long division

Why are proofs by contradiction counterintuitive?

Let P be a polygon

Multiplying two decimals using (camouflaged) binary representation