Digital Tools to Foster

Gerald Aungst

PETE&C Conference

Hershey, PA

February 13, 2017

Principles of the

MODERN

MathematicsClassroom5|

Innovative

Thinking

#5ctools #pete2017

Innovation Nation

“[Innovation is] the ability…to continuously create [your] desired future…. It is about

new ways of doing and seeing things as much as it is about the breakthrough idea.”

Environment Qualities

Where Good Ideas Come From

• The Adjacent Possible

• Liquid Networks

• The Slow Hunch

• Serendipity

• Error

• Exaptation

• Platforms

Bringing Innovation to School

• Action-oriented

• Networker

• Risk-taker

• Forward-looking

• Able to overcome obstacles

• Able to help good ideas grow

5 Principles

Conjecture

Communication

Collaboration

Chaos

Celebration

Conjecture

Communication

Collaboration

Chaos

Celebration

Communication Chaos

socrative.com

Room code GAUNGST

Principle 1:

Conjecture

5 Weird Things

This Guy Thinks

About School…

#4 Will

Absolutely

DROP YOUR

JAW!!!

We are wired to wonder

Things Humans

Still Do Better

Than Computers

Things Humans

Still Do Better

Than Computers

Things Humans

Still Do Better

Than Computers

Things Humans

Still Do Better

Than Computers

Things Humans

Still Do Better

Than Computers

Things Humans

Still Do Better

Than Computers

Conjecture Tools

• Screencasting (pixiclip.com)

• Data repositories (data.gov)

• what-if.xkcd.com

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.

Communication Tools

• Google Docs

• Blogging

• Podcasts

• Lucidchart (lucidchart.com)

• Infographic creators

Principle 3:

Collaboration

Where Good Ideas Come From

“Environments that build walls around good ideas tend

to be less innovative in the long run than more open-

ended environments.”

Traditional Instruction

1. Teacher models the skill

2. Practice it as a group

3. Practice it alone

Repeat until perfect

Traditional Instruction

1. Teacher models the skill

2. Practice it as a group

3. Practice it alone

Repeat until perfect

5 Principles Instruction

3. Teacher models the skill

2. Practice it as a group

1. Practice it alone

(if necessary…)

Collaboration Tools

• Trello (trello.com)

• Tricider (tricider.com)

• Padlet (padlet.com)

• Skype (skype.com)

• Flipgrid (flipgrid.com)

Principle 4:

Chaos

iWonder…

if Madison Square Garden were

completely filled with popped popcorn, how long would it take the Rangers 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.

Chaos Tools

• Scratch (scratch.mit.edu)

• Superhero Database (superherodb.com) andSo Who Wins? (www.sowhowins.com)

• Animoto (amoto.com)

• Stormboard (stormboard.com)

• Inform (inform7.org)

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.

Celebration Tools

• Class Badges (classbadges.com)

• Cred.ly

• Unstuck.com

Action Planning

• Focus on your least comfortable/confident principle

• Select a unit or project you want to adapt

• Select one tool (geraldaungst.com/tools)

• Share your idea, plan, or project (padlet.com/geraldaungst/innovation2017)

Modify an Activity

5of the

MODERN

Mathematics

Classroom

Gerald Aungst

lrn.link/pete&c1

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 • “#hashtagyourlife” by Bark. https://www.flickr.com/photos/barkbud/6350091667/ • “Innovate” by Sebastien Wiertz. https://www.flickr.com/photos/wiertz/4082949704/ • “Designed for Innovation” by Derek Bruff. https://www.flickr.com/photos/derekbruff/23074324840/ • “Eccentric” by Domiriel. https://www.flickr.com/photos/domiriel/8057852296/ • 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.