Viewing profile — johnnyb_61820

Indeed! Glad I have fans :) I also have an electronics book "Electronics for Beginners" plus a few others.

Here's an interesting paper on the topic for epsilon-delta proofs: https://arxiv.org/pdf/1701.05187 Also see Table 2 of this older paper for limit thinking in general: https://u.ma…

I wrote an article about Berkeley's critique here: https://mindmatters.ai/2021/03/the-needless-complexity-of-mo... I actually quite enjoy Berkeley. I wish he had framed his critiqu…

So you are saying that disconnecting calculus from algebra improves the average student's calculus ability? What planet are you from? We spend a lot of time and effort teaching kid…

I hope you check out my book, "Calculus from the Ground Up": https://www.amazon.com/Calculus-Ground-Jonathan-Laine-Bartle...

Not really. I teach high school calculus to homeschool co-ops. My earliest students are just a few years out of college. I usually only teach 2-10 students per class, and I don't t…

I'm curious if you've taught calculus? Do your students remember limits by the end of calculus? Most studies show that students DO NOT RETAIN limit concepts (ESPECIALLY epsilon-del…

On the second derivative side, a fuller treatment (including applying the approach to partial differentials) is given in the paper "Total and Partial Differentials as Algebraically…

Thanks for the shout-out! I teach calculus to homeschool co-op students regularly, and I got tired of the existing books on the market (I used to teach from Saxon Calculus) so I wr…

What I did in my book to keep everything algebraic but not introduce weird notation is just set the derivative equal to a variable. So, say m = dy/dx. Then, the second derivative i…

Indeed! I'm glad you enjoyed the book! I hope you wrote it a nice Amazon review :)

If you are going to use infinitesimals, though, it requires some additional doing for notation. The standard notation for higher-order derivatives (and partial derivatives) needs t…

Much of the calls for AI legislation have been based on fear of the technology. Instead, we should establish rational policy goals for AI regulation that align with the technology'…

DNA is a lot more like an FPGA than a traditional programming language. Basically, everything is wrapped in a while(true) that has conditionals as to whether or not it engages. Pro…

The documentary covered some important ground but leaned too heavily on the idea that Tesla is responsible for customer abuse of their platform.

For those looking for more general reasons why "No Code" works for some tasks but doesn't scale (i.e., to present to a boss), I did an article series on No Code: https://mindmatter…

Makes you wonder who you can trust out there.

Social media companies only work when they attract a mass of people, who could have been spending their time elsewhere or on another site. Does this imply a responsibility on the p…