goblin

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How do you revise material that you already half-know, without getting bored and demotivated?

soft-question self-learning asked Aug 6 '17 at 8:30

math.stackexchange.com

69 votes

Determinant of a non-square matrix

linear-algebra matrices definition determinant asked Jul 2 '14 at 11:04

math.stackexchange.com

46 votes

Is Pythagoras the only relation to hold between $\cos$ and $\sin$?

abstract-algebra trigonometry asked Sep 19 '14 at 6:55

math.stackexchange.com

46 votes

What recent programmes to alter highly-entrenched mathematical terminology have succeeded, and under what conditions do they tend to succeed or fail?

soft-question ho.history-overview terminology convention asked Jul 11 '14 at 8:38

mathoverflow.net

44 votes

Struggling with “technique-based” mathematics, can people relate to this? And what, if anything, can be done about it?

soft-question asked Mar 3 '13 at 2:39

math.stackexchange.com

34 votes

Is $\mathbb{N}$ impossible to pin down?

logic soft-question model-theory philosophy foundations asked May 9 '13 at 11:40

math.stackexchange.com

28 votes

Cross product in higher dimensions

linear-algebra vectors orthogonality multilinear-algebra cross-product asked Jul 25 '17 at 10:04

math.stackexchange.com

25 votes

Smallest Subset of $\mathbb{R}_{>0}$ Closed under Typical Operations

number-theory reference-request algebraic-number-theory real-numbers transcendental-numbers asked Dec 26 '14 at 14:48

math.stackexchange.com

25 votes

Rotated $\ltimes$ symbol

rotating asked Sep 19 '12 at 21:53

tex.stackexchange.com

23 votes

I don't get the relationship between differentials, differential forms, and exterior derivatives.

differential-geometry asked May 11 '15 at 13:12

math.stackexchange.com

Top Answers

159

Pedagogy: How to cure students of the “law of universal linearity”?

math.stackexchange.com

Is π equal to 180$^\circ$?

math.stackexchange.com

Does associativity imply commutativity?

math.stackexchange.com

Mathematicians ahead of their time?

math.stackexchange.com

“IFF” (if and only if) vs. “TFAE” (the following are equivalent)

math.stackexchange.com

Is there a way to prove that $2+2$ really equals $4$?

math.stackexchange.com

How to tell what dimension an object is?

math.stackexchange.com

Should I send professors money for illegally downloading their books?

academia.stackexchange.com

Algebraic Structures that do not respect isomorphism

math.stackexchange.com

Is it bad form to write mysterious proofs without explaining what one intends to do?

math.stackexchange.com

If an inequality is true for all natural numbers, is it necessarily true for all real numbers inbetween?

math.stackexchange.com

Zero divided by zero must be equal to zero

math.stackexchange.com

How do people who study really abstract mathematics “imagine” or understand the concepts they are studying or being taught?

math.stackexchange.com

Why cannot a set be its own element?

math.stackexchange.com

If gravity isn't a force, then why do we learn in school that it is?

physics.stackexchange.com

I almost quit self-studying mathematics, but should I continue?

math.stackexchange.com

Is a ring a set?

math.stackexchange.com

Why there is no sign of logic symbols in mathematical texts?

math.stackexchange.com

Could this identity have an application?

math.stackexchange.com

Why do both sine and cosine exist?

math.stackexchange.com

Do the axioms of set theory actually define the notion of a set?

math.stackexchange.com

When stating a theorem in textbook, use the word “For all” or “Let”?

math.stackexchange.com

What actually is a polynomial?

math.stackexchange.com

Where are the axioms?

math.stackexchange.com

My math students consider me a harsh grader. Is my teaching attitude wrong?

academia.stackexchange.com

What really is mathematical rigor? How can I be more rigorous?

math.stackexchange.com

Group Theory via Category Theory

math.stackexchange.com

Naive Set Theory by Halmos is confusing to a layman like me

math.stackexchange.com

Is $\aleph_0 = \mathbb{N}$?

math.stackexchange.com

What makes a vector an object with both magnitude and direction?

math.stackexchange.com

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goblin

How do you revise material that you already half-know, without getting bored and demotivated?

Determinant of a non-square matrix

Is Pythagoras the only relation to hold between $\cos$ and $\sin$?

What recent programmes to alter highly-entrenched mathematical terminology have succeeded, and under what conditions do they tend to succeed or fail?

Struggling with “technique-based” mathematics, can people relate to this? And what, if anything, can be done about it?

Is $\mathbb{N}$ impossible to pin down?

Cross product in higher dimensions

Smallest Subset of $\mathbb{R}_{>0}$ Closed under Typical Operations

Rotated $\ltimes$ symbol

I don't get the relationship between differentials, differential forms, and exterior derivatives.