Gifted Bulletin Board

Welcome to the Gifted Issues Discussion Forum.

We invite you to share your experiences and to post information about advocacy, research and other gifted education issues on this free public discussion forum.
CLICK HERE to Log In. Click here for the Board Rules.

Links


Learn about the Davidson Academy’s online campus for profoundly gifted students living anywhere in the U.S.

The Davidson Institute is a national nonprofit dedicated to supporting profoundly gifted students through the following programs:

  • Fellows Scholarship
  • Young Scholars
  • Davidson Academy
  • THINK Summer Institute
  • DITD FaceBook   DITD Twitter   DITD YouTube
    The Davidson Institute is on Facebook, Twitter and YouTube!

    How gifted-friendly is
    your state?

    Subscribe to the Davidson Institute's eNews-Update

    Who's Online
    0 registered (), 0 Guests and 128 Spiders online.
    Key: Admin, Global Mod, Mod
    Newest Members
    TEACHERMOM3.14, Drusillain, chinnny, Fast Words, LC001
    11242 Registered Users
    November
    Su M Tu W Th F Sa
    1 2 3 4 5
    6 7 8 9 10 11 12
    13 14 15 16 17 18 19
    20 21 22 23 24 25 26
    27 28 29 30
    Page 8 of 10 < 1 2 ... 6 7 8 9 10 >
    Topic Options
    #14574 - 04/24/08 09:08 AM Re: Math intuition, math without books [Re: squirt]
    Dazed&Confuzed Offline
    Member

    Registered: 04/05/08
    Posts: 1815
    Yes renaming is the same as borrowing, back in the day.

    Top
    #14576 - 04/24/08 09:13 AM Re: Math intuition, math without books [Re: Dazed&Confuzed]
    kcab Offline
    Member

    Registered: 10/02/07
    Posts: 1603
    Loc: Sparta, apparently
    Originally Posted By: Dazed&Confuzed
    Yes renaming is the same as borrowing, back in the day.
    Borrowing is the word that made me cry in math for first and second grade. I was glad to find out it had acquired a new name when DD started school.

    (Because - "neither a borrower nor a lender be," taken literally.)
    _________________________
    kcab

    Top
    #14577 - 04/24/08 09:18 AM Re: Math intuition, math without books [Re: kcab]
    Kriston Offline
    Member

    Registered: 09/19/07
    Posts: 6145
    Loc: Midwest
    Renaming also makes more sense, I think. The number hasn't changed; you're just renaming what's there.
    _________________________
    Kriston

    Top
    #14578 - 04/24/08 09:35 AM Re: Math intuition, math without books [Re: Kriston]
    Dazed&Confuzed Offline
    Member

    Registered: 04/05/08
    Posts: 1815
    In Leping Ma's book on teaching Mathematics and comparing China to the US, she uses the term "decomposing" as in "decomposing a 10" when you don't have enough ones to subtract.

    Top
    #14580 - 04/24/08 09:41 AM Re: Math intuition, math without books [Re: Dazed&Confuzed]
    kcab Offline
    Member

    Registered: 10/02/07
    Posts: 1603
    Loc: Sparta, apparently
    Ha, I like "decomposing" - as in "decomposing into its constituent parts." I just wish I didn't get a picture of roadkill in my brain.
    _________________________
    kcab

    Top
    #14586 - 04/24/08 10:12 AM Re: Math intuition, math without books [Re: kcab]
    questions Offline
    Member

    Registered: 11/24/07
    Posts: 864
    Yes, DS and I laugh when the EPGY lecture talks about decomposing. We think about dinner for vultures...

    Top
    #14593 - 04/24/08 11:41 AM Re: Math intuition, math without books [Re: questions]
    Cathy A Offline
    Member

    Registered: 05/26/07
    Posts: 1783
    Loc: West coast, USA
    Here's something cool (and free smile )!

    http://nlvm.usu.edu/

    When I explain "borrowing" to kids I say that we take a 10 and break it apart into 1's or we take a 100 and break it apart into 10's, etc. Legos are a great way to demonstrate this.

    When I teach subtraction I say things like, "You can make a 10 out of a 3 and a 7. If I take away the 7 part the 3 part is left." So many kids get stuck in counting backwards mode or drawing ten dots and crossing out 7 one at a time mode. They don't think of numbers as chunks. They are only thinking of them in terms of counting.

    Kriston, sorry if I freaked you out with the wikipedia stuff. And remember, it's just notation! There are beautiful books about fractals and the Mandelbrot set. Kids love to study the pictures and look for patterns. And, guess what--that's what mathematicians do, too!

    Today, with my math class I had them do some experiments on Mobius strips, cutting them in different ways. We also generated a distribution graph by rolling two dice and graphing the results. I try to use math vocabulary when I talk about these things. I say things like "surface" and "topology" and "distribution" and "probability". And I read to them from Penrose the Mathematical Cat.


    Edited by Cathy A (04/24/08 11:42 AM)

    Top
    #14595 - 04/24/08 12:00 PM Re: Math intuition, math without books [Re: Cathy A]
    Cathy A Offline
    Member

    Registered: 05/26/07
    Posts: 1783
    Loc: West coast, USA
    You know, I don't want people to think that I'm against teaching the standard algorithms for doing calculations. It is important for kids to know how to do those things. The standard algorithms are an important tool because they always work, even on problems that don't have quick, elegant solutions. The standard algorithms should be part of every kid's arsenal of knowledge. But these algorithms are calculation tools; they are not the essence of mathematics.

    We like poetry because it shows us unexpected and beautiful connections between words, images and emotions. Mathematics can show us unexpected and beautiful connections between numbers, objects and abstractions. I know it sounds corny, but I have always loved that Disney film "Donald in Mathmagic Land." It's from the 50's or 60's I think, and some parts seem a little dated, but it does a good job of communicating the poetry in math and the presence of math in our daily lives.

    Top
    #14612 - 04/24/08 03:35 PM Re: Math intuition, math without books [Re: Cathy A]
    Kriston Offline
    Member

    Registered: 09/19/07
    Posts: 6145
    Loc: Midwest
    Right on, sister! laugh That's what I want DS6 to get from my teaching. I know he'll get the usual algorithms along-and-along. That doesn't worry me. But I worry a lot that the poetry of math will escape him.

    I loved that movie, too. How funny! I hadn't thought about that in years...
    _________________________
    Kriston

    Top
    #14614 - 04/24/08 04:31 PM Re: Math intuition, math without books [Re: Kriston]
    incogneato Offline
    Member

    Registered: 10/25/07
    Posts: 2231
    Loc: up in my head.......
    I have strong vivid memories of HATING that movie...said the friend with dyscalculia!!!!!!!!!!!!!!!!
    hee hee hee
    seriously , I think that movie evoked strong reactions of anger when I was about 7. Maybe in school? I can't remember now.
    We were made to watch it and I was crying on the inside.

    smile


    Edited by incogneato (04/24/08 04:33 PM)
    Edit Reason: memory issues

    Top
    Page 8 of 10 < 1 2 ... 6 7 8 9 10 >


    Moderator:  M-Moderator 
    Recent Posts
    Out of level/early SAT
    by aeh
    Today at 02:56 PM
    The ultimate brag thread
    by aeh
    Today at 02:38 PM
    Q&A webinar for Davidson Young Scholars Program
    by indigo
    Today at 06:17 AM
    Gifted Adults: Living with Emotional Intensity
    by indigo
    11/19/22 12:23 PM
    Understanding testing!
    by Klangedin
    11/13/22 06:35 AM
    Davidson Institute Twitter