how not to kill thinking (amle2016)

Download How Not to Kill Thinking (AMLE2016)

Post on 12-Feb-2017

28 views

Category:

Education

0 download

Embed Size (px)

TRANSCRIPT

  • How Not t

    o

    Kill Thinkin

    g

    Gerald Aungst

    AMLE Conf

    erence

    Austin, TX

    October 12,

    2016

    Principles o

    f the

    MODERN

    Math Class

    room5|

  • #5cmath #AMLE2016

  • Help me!

    Shorter route with more lights?

    Longer route with fewer lights?

    When does it make sense to go out of your way to avoid an intersection with a traffic signal?

  • 4 Myths About Math

  • 5 PrinciplesConjecture

    Communication

    Collaboration

    Chaos

    Celebration

  • Conjecture

    Communication

    Collaboration

    Chaos

    Celebration

  • Communication Chaos

  • socrative.com

    Room code GAUNGST

  • Principle 1: Conjecture

  • You Wont B

    elieve

    What This

    Guy Thinks

    About Mat

    h

    #2 Will

    Absolutely

    DROP YOUR

    JAW!!!

  • We are wired to wonder

  • Things Humans

    Still Do Better

    Than Computers

  • Things Humans

    Still Do Better

    Than Computers

  • Never End With the Answer Why do you think so?

    How do you know?

    Are there any other ways to answer it?

    What was hard about solving that problem?

    What did you use to help you solve this? How did it help?

  • Principle 2: Communication

  • Albert Einstein

    Theoretical Physicist, Authority on Philosophy of Science

    If you cant explain it simply, you dont

    understand it well enough.

  • Convince Me

    Stage 1: Convince Yourself

    Stage 2: Convince a Friend

    Stage 2.5: Convince a Mathematical Friend

    Stage 3: Convince an Enemy

  • Principle 3: Collaboration

  • Think about the last problem you solved

    Share at your table

    Discuss the process you used to solve it

  • Traditional Math Instruction

    1. Teacher models an algorithm

    2. Practice it as a group

    3. Practice it alone

    Repeat until perfect

  • Traditional Math Instruction

    1. Teacher models an algorithm

    2. Practice it as a group

    3. Practice it alone

    Repeat until perfect

  • 5 Principles Math Instruction

    3. Teacher models an algorithm

    2. Practice it together

    1. Practice it alone

    (if necessary)

  • Help me!

    Shorter route with more lights?

    Longer route with fewer lights?

    When does it make sense to go out of your way to avoid an intersection with a traffic signal?

  • Where Good Ideas Come From The Adjacent Possible

    Liquid Networks

    The Slow Hunch

    Serendipity

    Error

    Exaptation

    Platforms

  • Problem-Finding Box

  • Principle 4: Chaos

  • iWonderif Citizens Bank Park were completely filled with popped popcorn, how long would it take the Phillies to eat it all?

  • David Perkins

    Founding Member of Project Zero, Harvard Graduate School of Education

    Much of formal education . . . feels like

    learning the pieces of a picture puzzle that

    never gets put together, or learning about the

    puzzle without being able to touch the pieces.

  • Non-Routine and Unsolved Problems

    Bedtime Math: http://bedtimemath.org

    Math Pickle: http://www.mathpickle.com

    Three-Act Problems: http://threeacts.mrmeyer.com

    Stellas Stunners:http://volta.ohiorc.org/for/math/stella/

    http://bedtimemath.orghttp://www.mathpickle.comhttp://threeacts.mrmeyer.comhttp://volta.ohiorc.org/for/math/stella/

  • Principle 5: Celebration

  • Jessica, Age 9

    A Very Wise Student

    Mistakes lead to good places so if you make a mistake take it as a

    step up the learning ladder.

  • Catch Me If You Can

  • I Guarantee It!Certainty

    RatingName

    1 I have a good start

    2 Im confident

    3 I guarantee it!

    ? Im not ready yet

  • The Truth About Math

  • Action Planning

  • Focus on just one

    Choose your most or least comfortable/confident

    Write down 3 things you already do

    Choose a Principle

  • 6 Facets of Classroom CultureFacet Action Time Resources

    Physical Space

    Curriculum materials

    Instructional practices

    Assessment practices

    Daily routines and procedures

    Social/emotional environment

  • 5of the MODERN Mathematics ClassroomGerald A

    ungst

    lrn.link/am

    le2016

    www.geral

    daungst.co

    m/5cmath

    @geraldau

    ngst

    geraldaun

    gst@gmail.c

    om

    Principles

    mailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.commailto:geraldaungst@gmail.com

  • Photo Credits 5 Principles icons designed by Jerry Gottesman, http://jginkcreative.com/ Some images licensed from iStock by Getty Images #hashtagyourlife by Bark. https://www.flickr.com/photos/barkbud/6350091667/ Skagen Traffic Signal by Erik Ogan. https://www.flickr.com/photos/erikogan/2941019357/ Eccentric by Domiriel. https://www.flickr.com/photos/domiriel/8057852296/ Bacon, by Toyulaewww44 (Own work) [CC BY-SA 3.0 (http://creativecommons.org/licenses/by-sa/3.0)], via https://commons.wikimedia.org/wiki/

    File%3A500gfpx-Bacon.png Untitled photo by NCSSM. https://www.flickr.com/photos/ncssm/8609916515/ Waiting for Time to Pass by Richard Phillip Rcker. https://www.flickr.com/photos/70243696@N00/342753239 Question mark made of puzzle pieces by Horia Varlan. https://www.flickr.com/photos/horiavarlan/4273168957/ Computing Sciences outreach program for high school students by Berkeley Lab. https://www.flickr.com/photos/berkeleylab/4863700123/ Popcorn by Micky Zlimen. https://www.flickr.com/photos/emzee/140977871 Question mark by Jean-Marc Valladier. https://www.flickr.com/photos/segozyme/3105128025/ suessian megaphone by Michael. https://www.flickr.com/photos/theparadigmshifter/470341923/ McKayla Maroney and Barack Obama, P111512PS-0111 by The White House. https://www.flickr.com/photos/whitehouse/8191317327/ Solitaire by Roger H. Goun. https://www.flickr.com/photos/sskennel/4669788084/ Olivia Birds Drawing Ornaments Kids Can Make a Difference by Laurie Sullivan. http://www.flickr.com/photos/32561453@N05/15805499565 Never a Dull Moment! by Lyle. https://www.flickr.com/photos/lyle58/2085980030/ "Cheeseburger" by Renee Comet (photographer) This image was released by the National Cancer Institute, an agency part of the National Institutes

    of Health, with the ID 2652 All other images are original photographs by Gerald Aungst.

    http://jginkcreative.com/https://www.flickr.com/photos/barkbud/6350091667/https://www.flickr.com/photos/erikogan/2941019357/https://www.flickr.com/photos/domiriel/8057852296/https://commons.wikimedia.org/wiki/File%3A500gfpx-Bacon.pnghttps://commons.wikimedia.org/wiki/File%3A500gfpx-Bacon.pnghttps://www.flickr.com/photos/ncssm/8609916515/https://www.flickr.com/photos/70243696@N00/342753239https://www.flickr.com/photos/horiavarlan/4273168957/https://www.flickr.com/photos/berkeleylab/4863700123/https://www.flickr.com/photos/emzee/140977871https://www.flickr.com/photos/segozyme/3105128025/https://www.flickr.com/photos/theparadigmshifter/470341923/https://www.flickr.com/photos/whitehouse/8191317327/https://www.flickr.com/photos/sskennel/4669788084/http://www.flickr.com/photos/32561453@N05/15805499565https://www.flickr.com/photos/lyle58/2085980030/