User Dan Christensen

9 votes

Why are induction proofs so challenging for students?

answered Jul 13, 2017 at 3:12

7 votes

Should my 8th graders see a proof of the Pythagorean Theorem?

secondary-education proofs geometry

answered Mar 16, 2016 at 16:55

7 votes

Exponents with Negative Base; with or without Parentheses

arithmetic-operations negative-numbers middle-school exponent

answered Feb 16, 2018 at 19:15

4 votes

Real-life exceptions to PEMDAS?

algebra primary-education examples

answered May 23, 2019 at 4:21

3 votes

What are the best places online where math educators can discuss their experience?

teaching teacher-development

answered Mar 16, 2018 at 4:26

3 votes

Inability to work with an arbitrary mathematical object

undergraduate-education mathematical-pedagogy proofs real-numbers

answered Feb 14, 2018 at 20:15

3 votes

What is a variable?

mathematical-pedagogy algebra logic definitions

answered Mar 6, 2016 at 3:45

2 votes

Teaching congruent triangles non-rigorously

secondary-education geometry

answered Apr 20, 2018 at 2:58

2 votes

How to resolve the new definition of subtraction and division seen in college algebra?

undergraduate-education algebra

answered Jun 2, 2018 at 15:05

2 votes

Why do students have problems with showing that something is well-defined? How can this be improved?

undergraduate-education students-mistakes definitions

answered Dec 18, 2016 at 17:05

2 votes

Why do no students know to change the limits of integration when doing substitutions?

undergraduate-education calculus

answered Feb 9, 2018 at 5:39

1 vote

teach that $\frac10$ not defined properly

calculus concept-motivation students-mistakes teaching teacher-preparation

answered Nov 22, 2018 at 7:12

1 vote

How to explain that a negative number multiplied by a negative number is a positive number, and that $-(-x)=x$?

undergraduate-education algebra negative-numbers

answered Jun 15, 2016 at 15:33

1 vote

Can we explain to undergraduates how points make a line?

undergraduate-education geometry infinity

answered Dec 17, 2017 at 15:09

1 vote

How to help new students accept function notation

notation precalculus functions

answered Sep 29, 2019 at 4:30

1 vote

Good, simple examples of induction?

mathematical-pedagogy proofs examples induction

answered Jan 30, 2020 at 3:30

1 vote

Dividing by zero

concept-motivation division arithmetic-operations

answered Apr 15, 2020 at 14:41

1 vote

How to teach logical implication?

undergraduate-education logic

answered Sep 18, 2021 at 2:56

0 votes

How should I convince a student who proved $1=-1$

secondary-education algebra powers exponent

answered Mar 6, 2020 at 19:27

0 votes

Rigorously defining the concept of an angle for high school students

geometry trigonometry definitions

answered Jan 11, 2016 at 18:57

0 votes

Defining vertical tangent lines

calculus definitions

answered Feb 14, 2016 at 20:09

0 votes

Functions, Domains, and Ranges in Precalculus

undergraduate-education functions precalculus

answered Mar 29, 2018 at 3:36

-1 votes

How to explain the difference between the fraction a / b and the ratio a : b?

primary-education fractions

answered Aug 27, 2019 at 3:10

-2 votes

Simple, elegant ways to teach the idea of what functions are for the first time

secondary-education examples functions

answered Jul 1, 2018 at 14:30

-2 votes

What is abstraction and generalization ?

self-learning

answered May 2, 2016 at 17:29

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25 Answers

Why are induction proofs so challenging for students?

Should my 8th graders see a proof of the Pythagorean Theorem?

Exponents with Negative Base; with or without Parentheses

Real-life exceptions to PEMDAS?

What are the best places online where math educators can discuss their experience?

Inability to work with an arbitrary mathematical object

What is a variable?

Teaching congruent triangles non-rigorously

How to resolve the new definition of subtraction and division seen in college algebra?

Why do students have problems with showing that something is well-defined? How can this be improved?

Why do no students know to change the limits of integration when doing substitutions?

teach that $\frac10$ not defined properly

How to explain that a negative number multiplied by a negative number is a positive number, and that $-(-x)=x$?

Can we explain to undergraduates how points make a line?

How to help new students accept function notation

Good, simple examples of induction?

Dividing by zero

How to teach logical implication?

How should I convince a student who proved $1=-1$

Rigorously defining the concept of an angle for high school students

Defining vertical tangent lines

Functions, Domains, and Ranges in Precalculus

How to explain the difference between the fraction a / b and the ratio a : b?

Simple, elegant ways to teach the idea of what functions are for the first time

What is abstraction and generalization ?