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On sitting down to study independently

🕑 Added 2024-08-31 20:19:58 +0000 UTC
On sitting down to study independently
On sitting down to study independently
On sitting down to study independently

Comments

Andy Matuschak

Thanks for the kind words. You might like Execute Program for Python, though it assumes some familiarity with general programming concepts and focuses on the language specifically.

alexander gress

wow, this is sooo relatable, to the point of being weird! exactly the problems i faced — having more than enough motivations but not doing it. thank you for this post! on a side note, are you familiar with any platforms for learning coding (python) similar to what mathacademy does? discovered them from your post and absolutely adore the product! would be great to find something similar for coding

Adam Comella

Managing motivation and morale have been some of the most top of mind challenges for my own self-directed learning and I’ve spent a lot of time trying to improve at them. Here’s one example. I came across the math book "Turtle Geometry: The Computer as a Medium for Exploring Mathematics by Abelson & diSessa". The book’s description resonated with me: growing up, I got a lot of pleasure and understanding from teaching myself programming so I thought that, by approaching learning math in a similar style, maybe I could get a similarly deep understanding and pleasure from learning mathematics. (My primary experiences with learning math had been through high school and college classes . Despite getting good grades, I never felt that I achieved much pleasure or depth of understanding from them. But I suspected I could if I approached learning it with the right perspective.) I made two attempts at reading Turtle Geometry a couple of years apart. The second attempt was much more successful and I think the key difference was looking at the book from a different perspective. The first time I tried the book a couple of years ago, I viewed success as making progress through the book — reading & understanding the content, solving the exercises, learning useful things. After spending a number of hours on the section 1.1 exercises, I abandoned the book because I lost motivation — my progress felt extremely slow and I didn't see how learning these things would be useful. Recently, I read a book about the history of research into prime numbers (The Music of the Primes by Marcus du Sautoy) because I was curious to see what mathematicians enjoyed about math. I got the impression that many of the mathematicians enjoyed the process and didn't care if the work was useful in the real world. Things they didn't understand were mysteries that were interesting to think about and it was a joy to gain any insight about them. When starting the Turtle Geometry book again recently, I decided to adopt this sort of mentality. This time I viewed success as having interesting things to think about. It doesn't matter how slowly I'm progressing through the book — it's fine to pause the book and instead explore an interesting question that the book doesn't cover but has inspired. Instead of confusion being a negative experience because it slows progress, it has become more of a positive experience because it means I've found something interesting to think about. This attempt with the Turtle Geometry book was much more successful. I spent around 90 hours working on things related to the book. I think the attitude I followed here matches the philosophy described in the book's introduction. Even though I found the introduction's philosophy to be exciting the first time I read the book, for some reason I didn't manage to internalize it. Even the second time I sometimes struggled with the philosophy. Some days I felt demoralized because I didn't make any observable progress and I had to remind myself that I should feel satisfied because the important thing was that I spent the whole session thinking about things that were interesting and challenging to me. --- The math book "Proofs: A Long-Form Mathematics Textbook" takes a different approach to sharing its philosophy with the reader that I found to be effective. Instead of just stating the philosophy in the introduction, there's advice to the reader based on the philosophy interwoven throughout the whole book. For example, when the book presents a proof it might say something like "Before reading the proof, try to prove it yourself. This effort will lead to a deeper understanding." Or when presenting a definition it might say "Try to come up with some examples that match this definition." Initially, I felt skeptical because I had thoughts like "I read and understood this simple definition. What's the point of writing examples?" But I figured I could spend a few minutes trying the book's advice and, to my surprise, I actually gained insights. After this happened enough times, doing these sorts of things started to become almost an automatic habit for me. --- Various other aspects of the post resonated with my personal experiences but my comment is already quite long. I'd be happy to share more if anybody is interested.


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