5of the

MODERN

Mathematics

Classroom

Gerald Aungst

Edscape Conference

Woodbridge, NJ

October 17, 2015

Principles

#5cmath

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4 Myths About Math

padlet.com/geraldaungst/5cmath

5 PrinciplesConjecture

Communication

Collaboration

Chaos

Celebration

Conjecture

Communication

Collaboration

Chaos

Celebration

Communication Chaos

socrative.com

Room code GAUNGST

Principle 1: Conjecture

We are wired to wonder

Things Humans

Still Do Better

Than Computers

Principle 2: Communication

—Albert Einstein

Theoretical Physicist, Authority on Philosophy of Science

If you can’t explain it simply, you don’t

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

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…)

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Principle 4: Chaos

iWonder…if Citizen’s 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

• Stella’s Stunners: http://ohiorc.org/for/math/stella

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

iWonder…if Citizen’s Bank Park were completely filled with popped popcorn, how long would it take the Phillies to eat it all?

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

4 Myths About Math

The Truth About Math

5of the

MODERN

Mathematics

Classroom

Gerald Aungst

www.geraldaungst.com/5cmath

@geraldaungst

geraldaungst@gmail.com

Principles

Photo Credits• 5 Principles icons designed by Jerry Gottesman, http://jginkcreative.com/ • Some images licensed from iStock by Getty Images • 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 Rücker. 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.