Skip to content
By using Twitter’s services you agree to our Cookies Use. We and our partners operate globally and use cookies, including for analytics, personalisation, and ads.
  • Home Home Home, current page.
  • About

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @
  • Language: English
    • Bahasa Indonesia
    • Bahasa Melayu
    • Català
    • Čeština
    • Dansk
    • Deutsch
    • English UK
    • Español
    • Filipino
    • Français
    • Hrvatski
    • Italiano
    • Magyar
    • Nederlands
    • Norsk
    • Polski
    • Português
    • Română
    • Slovenčina
    • Suomi
    • Svenska
    • Tiếng Việt
    • Türkçe
    • Ελληνικά
    • Български език
    • Русский
    • Српски
    • Українська мова
    • עִבְרִית
    • العربية
    • فارسی
    • मराठी
    • हिन्दी
    • বাংলা
    • ગુજરાતી
    • தமிழ்
    • ಕನ್ನಡ
    • ภาษาไทย
    • 한국어
    • 日本語
    • 简体中文
    • 繁體中文
  • Have an account? Log in
    Have an account?
    · Forgot password?

    New to Twitter?
    Sign up
Meaningness's profile
David Chapman
David Chapman
David Chapman
@Meaningness

Tweets

David Chapman

@Meaningness

Better ways of thinking, feeling, and acting—around problems of meaning and meaninglessness; self and society; ethics, purpose, and value.

meaningness.com/about-my-sites
Joined September 2010

Tweets

  • © 2020 Twitter
  • About
  • Help Center
  • Terms
  • Privacy policy
  • Imprint
  • Cookies
  • Ads info
Dismiss
Previous
Next

Go to a person's profile

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @

Promote this Tweet

Block

  • Tweet with a location

    You can add location information to your Tweets, such as your city or precise location, from the web and via third-party applications. You always have the option to delete your Tweet location history. Learn more

    Your lists

    Create a new list


    Under 100 characters, optional

    Privacy

    Copy link to Tweet

    Embed this Tweet

    Embed this Video

    Add this Tweet to your website by copying the code below. Learn more

    Add this video to your website by copying the code below. Learn more

    Hmm, there was a problem reaching the server.

    By embedding Twitter content in your website or app, you are agreeing to the Twitter Developer Agreement and Developer Policy.

    Preview

    Why you're seeing this ad

    Log in to Twitter

    · Forgot password?
    Don't have an account? Sign up »

    Sign up for Twitter

    Not on Twitter? Sign up, tune into the things you care about, and get updates as they happen.

    Sign up
    Have an account? Log in »

    Two-way (sending and receiving) short codes:

    Country Code For customers of
    United States 40404 (any)
    Canada 21212 (any)
    United Kingdom 86444 Vodafone, Orange, 3, O2
    Brazil 40404 Nextel, TIM
    Haiti 40404 Digicel, Voila
    Ireland 51210 Vodafone, O2
    India 53000 Bharti Airtel, Videocon, Reliance
    Indonesia 89887 AXIS, 3, Telkomsel, Indosat, XL Axiata
    Italy 4880804 Wind
    3424486444 Vodafone
    » See SMS short codes for other countries

    Confirmation

     

    Welcome home!

    This timeline is where you’ll spend most of your time, getting instant updates about what matters to you.

    Tweets not working for you?

    Hover over the profile pic and click the Following button to unfollow any account.

    Say a lot with a little

    When you see a Tweet you love, tap the heart — it lets the person who wrote it know you shared the love.

    Spread the word

    The fastest way to share someone else’s Tweet with your followers is with a Retweet. Tap the icon to send it instantly.

    Join the conversation

    Add your thoughts about any Tweet with a Reply. Find a topic you’re passionate about, and jump right in.

    Learn the latest

    Get instant insight into what people are talking about now.

    Get more of what you love

    Follow more accounts to get instant updates about topics you care about.

    Find what's happening

    See the latest conversations about any topic instantly.

    Never miss a Moment

    Catch up instantly on the best stories happening as they unfold.

    1. David Chapman‏ @Meaningness 31 Dec 2017
      • Report Tweet
      • Report NetzDG Violation

      My version was: the course boils down to just two things: anything that is linear behaves like matrix multiplication; eigenvectors are the ones that don’t change direction.

      1 reply 2 retweets 7 likes
    2. David Chapman‏ @Meaningness 31 Dec 2017
      • Report Tweet
      • Report NetzDG Violation
      Replying to @Meaningness @St_Rev and

      But here’s the discussion I mentioned:http://jadagul.tumblr.com/post/159881292413/nostalgebraist-i-took-linear-algebra-as-an …

      1 reply 0 retweets 18 likes
    3. David Chapman‏ @Meaningness 31 Dec 2017
      • Report Tweet
      • Report NetzDG Violation
      Replying to @Meaningness @St_Rev and

      “the entire subject is, like, four actual facts, each of which is repeated twenty times in slightly different language.” Be nice if they told us that up front…

      2 replies 0 retweets 5 likes
    4. Stephen Pimentel‏ @StephenPiment 31 Dec 2017
      • Report Tweet
      • Report NetzDG Violation
      Replying to @Meaningness @St_Rev and

      The problem is that the teachers themselves often do not have this "factored" perspective.

      1 reply 0 retweets 1 like
    5. David Chapman‏ @Meaningness 31 Dec 2017
      • Report Tweet
      • Report NetzDG Violation
      Replying to @StephenPiment @St_Rev and

      Yes… that became my suspicion in retrospect… MIT math professors didn’t really understand the subjects they were teaching.

      2 replies 0 retweets 1 like
    6. Jay Daigle‏ @ProfJayDaigle 4 Jan 2018
      • Report Tweet
      • Report NetzDG Violation
      Replying to @Meaningness @StephenPiment and

      I don't think that's quite it. The professors understand the material, but have trouble conveying those understandings because they're so internalized. It's easy to explain individual facts but hard to convey the implicit framework that ties them together.

      1 reply 0 retweets 6 likes
    7. Jay Daigle‏ @ProfJayDaigle 4 Jan 2018
      • Report Tweet
      • Report NetzDG Violation
      Replying to @ProfJayDaigle @Meaningness and

      Turning implicit knowledge into something explicit and articulable is difficult under the best of circumstances, and many professors don't even think of it as something that needs to be done. Much easier to work through problems in the book and get students to pass the test.

      1 reply 0 retweets 2 likes
    8. David Chapman‏ @Meaningness 4 Jan 2018
      • Report Tweet
      • Report NetzDG Violation
      Replying to @ProfJayDaigle @StephenPiment and

      That makes sense! Maybe another way of saying this is that the kind/degree of understanding required to teach material is greater than that required to use it fluently?

      1 reply 1 retweet 2 likes
      David Chapman‏ @Meaningness 4 Jan 2018
      • Report Tweet
      • Report NetzDG Violation
      Replying to @Meaningness @StephenPiment and

      And it seems that the kind/degree of understanding required to write a textbook with a novel structuring of the material is greater still. (I’m attempting this now…)

      10:40 AM - 4 Jan 2018
      • 1 Retweet
      • Stephen Pimentel
      3 replies 1 retweet 0 likes
        1. New conversation
        2. Jay Daigle‏ @ProfJayDaigle 7 Jan 2018
          • Report Tweet
          • Report NetzDG Violation
          Replying to @Meaningness @StephenPiment and

          The hardest part probably is the structure. When I think about linear algebra, I have a family of densely interconnected concepts to play with; but when I teach I have to explain one thing at a time. So I can't explain how I really think about it until the last week of class.

          2 replies 1 retweet 3 likes
        3. David Chapman‏ @Meaningness 7 Jan 2018
          • Report Tweet
          • Report NetzDG Violation
          Replying to @ProfJayDaigle @StephenPiment and

          That’s really interesting and makes sense… I want to say “well, can’t you go top-down and explain the big picture first?”, but I can offer convincing objections to that approach…

          1 reply 1 retweet 0 likes
        4. 3 more replies
        1. Jay Daigle‏ @ProfJayDaigle 7 Jan 2018
          • Report Tweet
          • Report NetzDG Violation
          Replying to @Meaningness @StephenPiment and

          Yes, I'd agree with that. It still surprises me a bit how hard it is to explain things that are perfectly clear in my head---clear enough I can use them fluently and easily and consistently. But not clear enough, apparently, that I can always tell my students how they work.

          0 replies 1 retweet 0 likes
          Thanks. Twitter will use this to make your timeline better. Undo
          Undo
        1. Jay Daigle‏ @ProfJayDaigle 7 Jan 2018
          • Report Tweet
          • Report NetzDG Violation
          Replying to @Meaningness @StephenPiment and

          But there's a reason that "you don't really understand the material until you've taught it" is proverbial.

          0 replies 0 retweets 0 likes
          Thanks. Twitter will use this to make your timeline better. Undo
          Undo

      Loading seems to be taking a while.

      Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.

        Promoted Tweet

        false

        • © 2020 Twitter
        • About
        • Help Center
        • Terms
        • Privacy policy
        • Imprint
        • Cookies
        • Ads info