|
|
|
|
|
by haberman
1154 days ago
|
|
I would love it if some of these educational YouTube videos came with exercises. I watch a lot of educational YouTube videos. But I've come to see them as more entertainment than education. Not in terms of the quality of the videos (which is often excellent), but in terms of what I retain. Sometimes I come across YouTube videos that YouTube claims I have watched, and I don't remember the first thing about them. I think it's difficult to learn while being just a passive listener. You have to get your hands dirty playing around with the concepts. It would be so cool if these high-quality "lecture" videos were accompanied with high quality exercises. |
|
One thing I do is try to connect the concepts into textbooks I do have. Say I have an elementary proof about a cross product: try and tie that into the stuff about wedge products and exterior calculus I just learned about. Line integrals? Perfect opportunity to practice working with one-forms.
Another option for the mathematically inclined is to pause and prove everything if you feel you aren’t getting it good enough, or to build up your own visual picture from first principles as much as possible rather than memorizing the video’s presentation.