# how not to kill thinking (pctm)

Post on 12-Apr-2017

109 views

Category:

## Education

Embed Size (px)

TRANSCRIPT

• How Not t

o

Kill Thinkin

g

Gerald Aungst

PCTM Conf

erence

Seven Spr

ings, PA

August 4, 2016

Principles o

f the

MODERN

Math Class

room5|

• #5cmath #pctm

• 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?

• 5 PrinciplesConjecture

Communication

Collaboration

Chaos

Celebration

• Conjecture

Communication

Collaboration

Chaos

Celebration

• Communication Chaos

• Principle 1: Conjecture

• You Wont B

elieve

What This

Guy Thinks

h

#2 Will

Absolutely

DROP YOUR

JAW!!!

• We are wired to wonder

• 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

Discuss the process you used to solve it

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: Temporarily gone!

• 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

• Catch Me If You Can

• I Guarantee It!Certainty

RatingName

1 I have a good start

2 Im confident

3 I guarantee it!

• 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

www.geral

daungst.co

m/5cmath

@geraldau

ngst

geraldaungst@gm

ail.com

Principles

• 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.

Recommended