Summer of Math Exposition

The melting gold approach to the law of total expectation is clever. The definition of random experiment and expected value are basically just reading text off the screen, with no visualization. And a few ideas, particularly the indicator functions, are introduced without context or intuition, so it’s hard to understand why they’re working.

The introduction is too sudden, and generally you speak really fast, making it harder to fully comprend what you’re saying. The viewer is than presented with too much text. During all the video is never clear why should I care about the topic, try starting with an example or some kind of introduction.

I must admit that I found this video to be a little frustrating. Most of the video simply consisted of words on the screen, and most of the narration simply read or re-stated the words on the screen. So much more could have been done with the visuals. In general, I feel like the target audience would have “clicked away” from this video.

I enjoyed how compact the video was! It could potentially be used as a way to solidify examples after providing some extremely basic foundational material. I also enjoyed the examples, and the visual explanation at 3:20. One suggestion for improvement, however, is to “space out” the material a bit more. There can be a lot of text on the screen at once, and while you did a great job of presenting it in small, digestible chunks, giving a bit of breathing room over multiple slides would help with this! Additionally, the beginning is a bit heavy in vocabulary and notation. Adding a few more concrete, numerical examples would be fantastic! To conclude, I enjoyed your linearity of expectation visuals, as well as the animations. Thanks so much for creating this video, and have a great day/night! :)

I’d like to suggest the rule of six: no more than six words per sentence, no more than six sentences per slide. If the student starts reading, they can’t keep following you. You can focus on selecting the key words. Otherwise, it becomes a frontal lecture, no different from what I could do with a blackboard in the classroom. Thinking of my average student, they wouldn’t benefit from this content. Consider also introducing simple and easily memorable summary diagrams (perhaps suggesting mnemonic tricks).

Your topic is good, however your execution is very dense. For your next videos I would recommend more visual representations, a slower progression (since your video is only a little bit more than 6 minutes, you have much time to slow down and explain), don’t divide the video into numbered segments too, I think that’s just distracting for such a short video. The introduction was also very dense and heavy, you should start with a hook that your viewers are able to understand, like relating your topic to a real life problem (the dice problem was good, but showing more examples and applications visually would’ve been better). Good video, but not as good execution.