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13 votes
11 answers
1k views

Can it be defended that $\sqrt 4$ is both $2$ and $-2$ (and likewise for general square roots)?

33 votes
23 answers
7k views

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

9 votes
15 answers
17k views

With PEMDAS, does multiplication next to parentheses, as in "2(2x)", take precedence over explicit division/multiplication?

7 votes
2 answers
195 views

Teaching how to use multiple equations to find relationships without concrete numbers

8 votes
12 answers
4k views

Best way to explain the thinking steps from x² = 9 to x=±3

39 votes
6 answers
7k views

What fraction of the population is incapable of learning algebra?

3 votes
10 answers
532 views

Good ways to help students overcome the mistake that $ 2a - 3b + 7a + 4b = -5a + 7b$

32 votes
6 answers
3k views

Should word problems be reasonable?

2 votes
1 answer
82 views

Difference between pre-algebra and early algebra in primary school teacher education

-3 votes
1 answer
311 views

Throwing Expressions: The Under-Taught Art of Algebraic Sculpting

4 votes
3 answers
232 views

How is the "simplest form" defined in the case of complex trig expressions?

5 votes
1 answer
2k views

When learning about algebra and geometry, should I read roughly or try to understand every sentence?

3 votes
1 answer
523 views

Good Textbook for combined Beginning and Intermediate Algebra Course

1 vote
0 answers
77 views

solutions to Hung-Hsi Wu's Teaching School Mathematics: Prealgebra/Algebra textbooks?

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