Are there vlogs of people regularly attempting to solve mathematics problems, warts & all?
I haven't found any.
I know of puzzle-attempt YouTube channels, like CanChrisSolve?, so why aren't there mathematics problem solving vlogs?
What I'm not looking for are channels like LetsSolveMathProblems; such channels are great but they're too scripted, focusing on the finished product rather than the process of solving a mathematical problem.
I want to see the mistakes, the experiments, the dead ends; swearing, blaspheming, gesticulating; the banging of heads against walls and the a-ha! moments of fleeting insight. I want a stream of consciousness.
"Solving a good mathematics problem could take weeks or even months of effort," I hear you object. That's no obstacle, though, really, since ongoing projects from elsewhere, like Wintergatan's Marble Machine X, have strong followings and considerable longevity. There's practically nothing a little montage can't fix.
A hypothetical example of how an episode might start would be something like this:
Hi, so today I'm going to try & prove that the product of $n$ consecutive integers is always divisible by $n!$. Let's jump straight into it.
Okay, so, my initial thoughts are that it has something to do with how multiples of $k$ for each $k$ from $1$ to $n$ are . . . Erm . . . "distributed". There's a multiple of $k$ every $k$ integers, so $n$ consecutive integers must have a multiple of $k$ for a given $k$ from $1$ to $n$, right? Right.
But there's a tricky issue of whether or not one counts such a multiple twice in the factorial. For instance, in $4\times 5\times 6$, divisible by $3!$, we have that $6$ is both a multiple of $2$ and a multiple of $3$, but there's another multiple of $2$ - namely, $4$ - and what I need to do . . . I think . . . is to show that there's always a number, like $4$, that's a . . . Erm . . . "sensible alternative" to some other number, like $6$, or that the overlap doesn't matter. Does that make sense? I'm not sure.
F¥¢k.
You get the idea: each episode a soliloquy of problem solving, filmed.