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How I Rewired My Brain to Become Fluent in Math

nautil.us

101–110 of 152 posts

Re: How I Rewired My Brain to Become Fluent in Math

#101

I found the article rambling and mostly pointless... However, if you have a weak background in math and want to get up to speed before going into calculus and beyond, I have 2 suggestions. 1) Lial's Basic College Math[1] is adequate and will get you up to speed. 2) Serge Lang's "Basic Mathematics" is great and will cover all you need to go into a rigorous theory based college math class. [1] http://www.amazon.com/s?i…

Since we are on the topic of math textbooks, I will suggest the No bullshit guide to math and physics which is a math textbook written specifically for adult learners. See http://minireference.com/ for more info. I'm the author

I've been looking for something just like this.

Do you plan to release an ePub or mobi-format book? I'd prefer to read it on my ereader, and PDFs don't reflow on smaller screens.

Re: How I Rewired My Brain to Become Fluent in Math

#102
post #74

>>student may have thought he’d understood it at the time, and perhaps he did, but he’d never practiced using the concept to truly internalize it. I'm changing jobs and I've interviewed at quite a few places off late. Having faced with so many Algorithm and Data Structure questions, I took it upon myself to read upon a good deal of material before I started interviewing. So I did the usual approach one takes while st…

And isn't that completely bogus too - you don't want programmers who can regurgitate algos you want ones that can take an overview and know which algos to apply and how to implement them in a timely way using reference material if needs be ... perhaps it's too hard to test for that ability in interview?

It's like upthread someone talked about engineering exams - seemingly you don't need working engineers to run through equation derivations and do arithmetic. You want them to understand the basis for the derivations and to have a mental model that will spot if the calculations are way out, for sure, but really you want them to be able to take an overview: know which factors are important, use the engineering tools they have. A practical engineer is going to be using computers to perform calculations (be that chemical processes or electronics or civil structures or whatever).

In a way I think we're on the cusp of a change in how we need to approach job focused learning. We're getting to the point where we've stood on the shoulders of so many giants that if you want to operate at the top you can't see the floor any more. By which I mean that maybe the human mind can't cope with the full vertical stack in some fields, that we need to have people either focus at the bottom - understanding the basis on which particular knowledge is built. Or understand the top - be able to work with the tools for implementation.

Maybe.

Re: How I Rewired My Brain to Become Fluent in Math

#103

I can recognize some of my experience in what she's saying -- as I've been told several times in math/stats "you don't understand this, you just get used to it." That's a bit of troubling statement at first, but I think it's sortof a shorthand way of saying that much of the understanding available comes through the process of repeated manipulation and observing outcomes. I've also noticed that a decade or two after g…

If understanding is about "connecting the dots" then you need to learn about all the pertinent dots before that can happen. You can't be expected to have a deep understanding when first introduced to something, you have to trust that it will probably all make sense later.

Re: How I Rewired My Brain to Become Fluent in Math

#104

Earlier quoted context omitted.

Since we are on the topic of math textbooks, I will suggest the No bullshit guide to math and physics which is a math textbook written specifically for adult learners. See http://minireference.com/ for more info. I'm the author

I've been looking for something just like this. Do you plan to release an ePub or mobi-format book? I'd prefer to read it on my ereader, and PDFs don't reflow on smaller screens.

I've been trying to get the .epub working for a long time, but its not easy to convert all the equations and make them look nice. Recently I found some very good new tools[1], so hopefully I'll add .epub/.mobi to the eBook bundle soon.

Do you know of any math books that are available as .epub? I'd like to see how they implement equations... PM me if you would like to be a beta tester.

[1] https://github.com/softcover/softcover

Re: How I Rewired My Brain to Become Fluent in Math

#105
post #74

>>student may have thought he’d understood it at the time, and perhaps he did, but he’d never practiced using the concept to truly internalize it. I'm changing jobs and I've interviewed at quite a few places off late. Having faced with so many Algorithm and Data Structure questions, I took it upon myself to read upon a good deal of material before I started interviewing. So I did the usual approach one takes while st…

Frankly it sounds like you dodged a bullet with that interview.

Re: How I Rewired My Brain to Become Fluent in Math

#106

I come from a very similar background as the writer. As a young man, I showed high potential for languages. So when I went to college, I loaded up on languages, graduating with 6 different languages at at least the 200-level and fluency in 3 of those languages. Unlike the writer, I chose neither military nor government work upon graduation, but instead worked as an ATA-certified translator for 10+ years, primarily tr…

Spaced repetition algorithms and programs are a godsend. Org-drill and diligence has increased my retained knowledge of vocabulary, grammar, mathematics, and logic.

Other people probably use Mnemosyne which is great but having space repetition in Emacs? Org-mode? Capturing notes to-read or facts from the web that I want to remember and automatically putting it into my drill sequence? Definitely not rote - deliberate, yes.

Re: How I Rewired My Brain to Become Fluent in Math

#107
post #2

As a thank-you present to our readers on HN, Nautilus wanted to give you exclusive full access to this Prelude article from our latest print Quarterly online "preview". Subscriptions to our print edition are how we make all our online content free. We thought the HN audience would like this piece so in appreciation for your traffic and your comments, here it is.

Thank you for that article. Well written and it hit me straight away. I struggled through getting my B.S. Mechanical Engineering - fighting to learn the heavy math load along the way. Looking back, it would have been nice to have the perspective presented by this article.

Re: How I Rewired My Brain to Become Fluent in Math

#108

I found the article rambling and mostly pointless... However, if you have a weak background in math and want to get up to speed before going into calculus and beyond, I have 2 suggestions. 1) Lial's Basic College Math[1] is adequate and will get you up to speed. 2) Serge Lang's "Basic Mathematics" is great and will cover all you need to go into a rigorous theory based college math class. [1] http://www.amazon.com/s?i…

Since we are on the topic of math textbooks, I will suggest the No bullshit guide to math and physics which is a math textbook written specifically for adult learners. See http://minireference.com/ for more info. I'm the author

It's an interesting looking book, and I'm somewhat inclined to buy it. Bookmarked!

I agree that you don't need to read thousands of pages to learn calculus. However, I don't want to stop at calculus. Basically, what I'd really love to have is a "mother of all maths textbook" -- a thick and heavy tome that compacts information from all the other thick and expensive books (which I'm never going to read) and different fields of mathematics. With enough detail that you can actually learn from it -- so it shouldn't be just for review and looking up formulas you couldn't memorize. I'd like to call it a reference book I can forever keep in my bookshelf (under my bed) and always look in it if I'm unsure about something...

If someone has book suggestions, I'm all eyes.

Re: How I Rewired My Brain to Become Fluent in Math

#109
It reminds me a lot of the Pimsleur method.

http://en.wikipedia.org/wiki/Pimsleur_method

It's rote memorization and repetition, but it also incorporates interaction and active thinking. Additionally, the repetition is non linear. As you learn new terms they throw old terms at you once in a while to make sure you remember them, and the spacing is set out for maximum retention.

Re: How I Rewired My Brain to Become Fluent in Math

#110
so many aspects of this article echo my own experiences, though i was likely a far worse example of a student than the author of this article. i excelled at literature (and took this talent for granted) and i had a vicious disdain for math. my time in high school was spent anticipating a “mathless” career in the NHL that never quite came to fruition… sometimes you just don’t grow any taller after your freshmen year :)

here’s how a gift can actually be a curse: i’ve always had an extremely strong visual memory and it enabled me to get by (and sometimes even excel) at courses like algebra and pre-calc. i’d simply memorize the exact structure of a solution, and “plug and play” from memory when teacher asked identical questions on exams with different numbers. it wasn’t until i was an undergrad and i decided to do my own “rewiring” experiment that i realized i hadn’t ever learned a thing about math my entire academic career. it made for quite the rude awakening, being that i was a college sophomore who’d just switched from pre-med biology to electrical engineering!

i struggled with basic problems that required even a little bit of mathematical intuition because i’d never developed an intuitive understanding of anything–to paraphrase bart simpson, it was like i was cheating on tests by using my own mind, since i could remember my notes with such vivid detail.

how’d i fix it? i became a voracious reader. i started reading “popular” science books about math that actually interested me, and i realized that textbooks were only part of the puzzle. once i was able to grasp the theoretical concepts (aided by the “pop” books) i could return to the textbooks without being bored to tears with the dry, abstract concepts–i could actually relate the concepts to reality! i also took a keen interest in physics because it connected calculus to the real world. when i realized that a parabola could actually be the path of a cannon ball, it changed my entire outlook on math. things started to click.

so how’d it work out? getting through b.s. degrees in both electrical and biomedical engineering (i was a masochist and picked up a second degree) was nonetheless a struggle, due to the fact i was essentially several years behind my peers in terms of my mathematical ability. also, i constantly had to fight the urge to rely on my memory. old habits die hard or simply just go into remission, but i made it!

where am i now? as an MBA student (please bear with me here) i was fortunate enough to be at a university that recently embraced data science. i fell in love with the field because data can tell a story, and my (now) strong mathematical background enabled me to grasp the underlying math & algorithms that yield the wonderful insights you can uncover if you look in the right places.

was it worth it? absolutely. i feel as though i am a different person that’s capable of using both sides of their brain! although i must admit i’m still a natural “right brainer” and i need to use a calculator more frequently than i’d like to admit. i’m an engineering manager at a 9-5, i work as a data science lead for a startup, and i dabble with inventing products. i’m convinced that had i not put myself through the wonderful torture that was rewiring my brain, i’d likely not have achieved a single thing in my career.

if you’re really curious to see how someone like me thinks i’ve done some writing here: www.takeiteasythursday.com/liox

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