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user52817
  • Member for 9 years, 8 months
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68 votes

Why is it possible to teach real numbers before even rigorously defining them?

27 votes

How to respond to “solve this equation” in a basic algebra class

23 votes

Given a 3 4 5 triangle, how do you know that it is a right triangle?

20 votes
Accepted

Is there a more telling name for "Calculus 2"?

20 votes

What theorems from single-variable calculus break down in the multi-variable context?"

18 votes

How to explain that the sums of numerators over sums of denominators isn't the same as the mean of ratios?

16 votes

Any examples of calculus sequence that deemphasizes calculation tricks?

14 votes

Why do we teach even and odd functions?

13 votes
Accepted

Should $\varphi$ be monotone in the integration by substitution?

12 votes

A parabolic arc is not semicircular. But students think so

12 votes

Why do we teach the Rational Root Theorem? (high school algebra 2)

12 votes

Lowercase vs. uppercase letters for matrix entries

11 votes

Skipping a calculus topic (squeeze theorem)

11 votes

Why the fear of polynomial long division?

11 votes

Ideas for explaining 4D and higher dimensions

11 votes

Write $y=\sqrt{3+x}$ as the composite of two functions

10 votes

How to explain that integral calculate areas?

10 votes

Models for spherical geometry

10 votes

What are some research-level opportunities in mathematics that do not focus on proofs?

10 votes

How do you explain why perpendicular lines have negative reciprocated slopes?

10 votes

Why are induction proofs so challenging for students?

10 votes

Why does the widespread erroneous definition of "irrational number" persist without being taught?

10 votes

How to make students comfortable with the use of axiom of choice in analysis

9 votes

How can I explain why numerical integration is easy, but symbolic integration is hard?

9 votes

In what curricula are "rectangles" defined so as to exclude squares?

9 votes

Why would you teach Calculus before teaching Real Analysis?

9 votes

How does one explain that transformations 'inside' a function operate in the opposite direction than intuition suggests?

9 votes

Teaching math too soon in middle school and high school

9 votes

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

9 votes

Why should or shouldn't we teach functions to 15 year olds?

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