Mathematics Educators Stack Exchange

87 votes

21 answers

26k views

Why are induction proofs so challenging for students?

J W

5,033

modified Jul 21 at 18:19

11 votes

4 answers

2k views

Teaching students how to check the validity of their proofs

user21820

2,722

answered Jul 21 at 9:05

43 votes

5 answers

3k views

Taxonomy of bad proofs

Xander Henderson♦

8,298

modified Jul 20 at 0:15

2 votes

3 answers

272 views

How to prove, without the LOTUS formula, to student that $V[aX+b]= a^2 V[X]$?

whoisit

131

answered Mar 23 at 6:00

4 votes

1 answer

137 views

When teaching an upper-level proof based course, what criteria do you use to determine which and how many problems to assign?

Pedro

1,800

answered Mar 15 at 14:36

2 votes

1 answer

228 views

About a difficult exercise for 12 years pupils

Justin Skycak

12.3k

answered Feb 12 at 4:45

15 votes

6 answers

5k views

I want a "true" proof by contradiction of an implication $P \Rightarrow Q$

Pedro

1,800

modified Jan 14 at 14:45

9 votes

3 answers

574 views

Best practices for Proof Revision/ Proof Portfolio?

Aeryk

8,039

answered Jan 4 at 18:14

17 votes

7 answers

784 views

Unique steps leading to a non-unique answer

Stef

556

answered Dec 17, 2023 at 15:58

12 votes

11 answers

4k views

Does a proof by induction have to explicitly refer to the principle of mathematical induction?

Louis

131

answered Nov 28, 2023 at 13:04

7 votes

1 answer

690 views

Bridging the gap between students' intuitive problem-solving abilities and expressing ideas through formal writing

Justin Skycak

12.3k

answered Nov 27, 2023 at 17:16

6 votes

3 answers

316 views

What to do with "wild goose chase" or "quantum leap"-types of incorrect solutions when you ask students to prove/show something?

fedja

3,939

answered Nov 25, 2023 at 21:36

23 votes

8 answers

2k views

What are some good low-prerequisite examples for the heuristic advice "If you cannot prove it, prove something stronger."?

Tommi

7,374

modified Nov 19, 2023 at 9:01

1 vote

1 answer

138 views

Idea of using LLMs to help communicate ideas in math

user22788

854

answered Oct 28, 2023 at 13:08

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Why are induction proofs so challenging for students?

Teaching students how to check the validity of their proofs

Taxonomy of bad proofs

How to prove, without the LOTUS formula, to student that $V[aX+b]= a^2 V[X]$?

When teaching an upper-level proof based course, what criteria do you use to determine which and how many problems to assign?

About a difficult exercise for 12 years pupils

I want a "true" proof by contradiction of an implication $P \Rightarrow Q$

Best practices for Proof Revision/ Proof Portfolio?

Unique steps leading to a non-unique answer

Does a proof by induction have to explicitly refer to the principle of mathematical induction?

Bridging the gap between students' intuitive problem-solving abilities and expressing ideas through formal writing

What to do with "wild goose chase" or "quantum leap"-types of incorrect solutions when you ask students to prove/show something?

What are some good low-prerequisite examples for the heuristic advice "If you cannot prove it, prove something stronger."?

Idea of using LLMs to help communicate ideas in math

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