Summer of Math Exposition

Your animation style and choice of music were wonderful and your calm way of explaining complements the other elements of your video. I really enjoyed watching. That being said I have to say that whilst individually nicely explained I found the topic of proof by induction and the example from your highschool year a little disconnected. I understand how you wanted to use them to tie a bow around the overall theme of the video, but with it being rather short, I felt it lacked the overall emphasis on the "Finding a proof/solution is the fun part of math". Still a very nice video, I wish it were twice as long :D

For a current high school student who dislikes the straightforward aspect of all of high school math, this video really stuck out to me. I love having problems I try to solve without someone telling me the result, and it is so satisfying to solve it. I'm considering majoring in mathematics and this might have sealed the deal. Thank you and great job.

At some points music was distracting because it was too loud

Great intuitive introduction to essential problem solving skills. Unrelated to the basis of the grading, the background music was a little too loud.

I liked the style, storytelling and simplicity of the video, also your tone and pace. There are few things that I believe can be improved: - At some point, the music was too loud and made listening to the voiceover impossible - The content of the video was not consistent - to me it felt like there were jumps in the video

The math and intuition are explained clearly. The background music is too loud, and it distracts from your explanation.

great motivation ! good observation ! gorgeous imagination...

Nice vid. The music was a little loud and distracting. I would encourage you to think more carefully about what students should get out of mathematics. Although I agree that math should change the way people think, aren't there better ways (things students would enjoy more) than learning math that would help them learn how to think in more effective ways? Clearly we are teaching math for another reason as well. Otherwise, let's just do brain teasers and logic puzzles. This is building up to what math should everyone know and what experiences should everyone have in math class, and just saying that math should teach people to think is not concrete enough to help answer those questions.

The work was excellent1. My only criticism is that the title lead me at first to think it was going to be about Statistics.

Well-exposited, but the choice of topics didn't work for me. There must be thousands of videos out there explaining the induction proof that takes up the first half of the video. I don't think this video's treatment of it adds anything new, and I don't think it's necessary for getting to your desired punchline. Separately, as much as I love both mathematical problem solving and proofs, I have to take exception to the remarks in the beginning of the video about "real mathematics". It feels unnecessarily gatekeepy. I think there's plenty of room for creative problem solving in high school math, and even earlier. If you want to talk about problem solving or proofs, then you can say so without (inadvertently) giving anyone the impression that what they're studying isn't "real math".

This is a fantastic way to introduce proofs, and I really enjoyed how you extended the principles of problem-solving to the paper cone. Awesome job!

Framing proofs as real maths in opposition to plug-n-chug leaves out many forms of math which viewers are likely to have more experience with than abstract proofs.

Feedback Ratings: Goal Orientation: 4/10 Novelty: 0/10 Thought-Provoking: 0/10 Comprehensibility: 7/10 Technological: 7/10 Overall Average: 3.6/10 (the background music is nice!)

Great video. I found the music a bit loud though, and it made it harder to focus on the narration. Also, the illustrations around the 6:40-7:00 timestamps did not match the equations. The equations were plugging in values for the angle of elevation, but the illustrations showed the same angle being removed from the disc.

music is distracting in the induction part but i really like the story told, voice, tempo and message

While it is a simple video, I do find it very easy and nice to follow along. I myself have a background in mathematical academia and fully agree, that maths shouldn't be seen as 'that thing my calculator can do' but the art of solving problems. And I think that teaching that to a general audience in a neat little video with fun animations and a calm voice that's nice to listen to, is very valuable. I usually grade videos that mainly cater to an audience without a mathematical background lower, since I enjoy those videos less, but the lesson from this video and the fact that somehow I staid interested throughout are the reason for my high rating. I hope videos like yours can reach a big audience and show people, what maths really is.

I commented on your youtube as @joecoup I really liked it