Summer of Math Exposition

I think this video was definitely at an appropriate level for a high school student. You did not go too fast, and I think that a motivated student would be able to follow each step. Your introduction was also compelling, a simple problem with a single clue. The visual presentation was usually pretty clear, but sometimes the screen was too cluttered with expressions that didn’t seem to be distinct from each other, and it would be good to display the coordinate points of the vertices as text instead of just reading them. Also, per the guidelines, I think that unless a student were already very motivated about math, they probably wouldn’t watch it because it is not seemingly directly relevant or notable. The solution is elegant for sure, but I don’t think most people would really care about trying to find a solution in the first place. But overall, I did like the video a lot.

The video is very well paced and explained. I don’t think any part needs to be shorter or simpler.

The changing plots are a little confussing, but really nice explanaton

A decent video, but falter’s a bit presentation wise and doesn’t quite focus on the areas of explanation I think it needs to.

The music is giving me real Death Note vibes. It’s a little bit too loud when you’re talking and a bit distracting to be honest.

Checking Wikipedia in the middle feels a bit like cheating lol. Maybe if it was framed more as “let’s research and see if there are any facts/properties of triangles that might be useful for this question” Then it wouldn’t feel so odd.

A lot of your explanation is slow and repetitive when it doesn’t need to be. Most of the equations are basically the same, but because there’s so many on the screen at once it gets confusing and overwhelming, especially for a middle school audience. For example, instead of listing each inequality individually every single time (“X has to be between 0 and 5, Y has to be…”), just say “X, Y, and Z all have to be between 0 and 5.” There, the connection between all lengths is clear and you can still write out the three inequalities on screen.

It also feels like a case of being a bit too rigorous with your math and explanations. It’s counterintuitive, but You don’t want to get two in the weeds sometimes. For example, by bringing up that you’re not considering negative values for triangle sides, you are ironically bringing up the concept of negative values for sides that distracts from your explanation. After all, how can you cut a negative length of a line?

Visuals were spot on, storytelling was a perk, connecting it to life and hints from a friend. I’d say with the visuals and examples drawn out and explained this was very memorable.

It was nice to follow the thought process on how you solved the problem, but the pacing was somewhat slow and the music was a little loud. This was a unique method on solving the problem that I have not seen before, and I liked how you presented the steps very neatly. This video would be great for a younger audience.

The proof is good and flows pretty naturally. It would be helpful to give a quick visual proof for the triangle inequality. When you switch between the cube and the x+y+z=10 triangle, the axes keep jumping, so it’s not immediately obvious they’re supposed to overlap. And the background music is too loud.

Excellent choice of intuitive question to get the viewer interested. Very nice explanation of how to limit the equations and then build the solution visually. I wasn’t expecting the answer to involve 3d visualising. Although it avoids integrals which is excellent. I think it’s a solution for 16-18 school age, A-Level in the UK. even though younger students could understand the geometry, the link to probability is a big jump. It’s a great explainer of how visualising a solution space works.

I moderated this up after watching about 20 videos due to relativity.