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Results tagged with teaching
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user 9550
For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.
4
votes
Not especially famous, long-open problems which anyone can understand
Are there infinitely many partition numbers divisible by $3$? See A000041.
10
votes
Not especially famous, long-open problems which anyone can understand
Given $n\in\mathbb N$, what is the smallest $k\in\mathbb N$ such that the harmonic number $H_k>n$?
It has been conjectured that for all $n$ the answer is $\lfloor\exp(n-\gamma)-1/2\rfloor$. See A00238 …
11
votes
Not especially famous, long-open problems which anyone can understand
Let $R(x)=P(x)/Q(x)$ where $P(x)$ and $Q(x)$ are polynomials with integer coefficients and $Q(0)\neq 0$. Is there an algorithm that given $P(x)$ and $Q(x)$ as an input always halts and decides if the …
16
votes
Not especially famous, long-open problems which anyone can understand
Bonnessen—Fenchel conjecture: Which convex body of constant width has the least volume? Is it Meissner's tetrahedron?
10
votes
Not especially famous, long-open problems which anyone can understand
Is there a rectangle that can be cut into $3$ congruent connected non-rectangular parts?
10
votes
Not especially famous, long-open problems which anyone can understand
Is there a positive integer which is both triangular and factorial except these obvious examples: $1, 6, 120$? (Tomaszewski conjecture, http://oeis.org/A000217)
10
votes
Not especially famous, long-open problems which anyone can understand
What is the largest possible volume of the convex hull of a space curve having unit length?
6
votes
Not especially famous, long-open problems which anyone can understand
Is Hilbert's tenth problem for Diophantine equations in rational numbers decidable?
Is Hilbert's tenth problem for Diophantine equations of power $3$ decidable?
Is there a universal Diophantine equat …
7
votes
Not especially famous, long-open problems which anyone can understand
Is there such $n\in\mathbb{N}$ that ${^n\pi}\in\mathbb{N}$? (see tetration)
19
votes
Not especially famous, long-open problems which anyone can understand
Is there an upper bound of quotients in the continued fraction representation of $\sqrt[3]{2}=[ 1; 3, 1, 5, 1, 1, \dots]$?
6
votes
Not especially famous, long-open problems which anyone can understand
What is the least $S$ (if any) such that any subset of a plane of area $S$ contains $3$ vertices of a triangle of unit area?
5
votes
Not especially famous, long-open problems which anyone can understand
What is the least $V$ such that any convex body of unit volume can be fit into a tetrahedron of volume $V$? It is known that $V \ge 9/2$ and conjectured that $V = 9/2$.
40
votes
Not especially famous, long-open problems which anyone can understand
Is there a dense subset of a plane having only rational distances between its points?