5 Principles of the Modern Math Classroom - Edscape 2015
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This document outlines 5 principles for the modern mathematics classroom: conjecture, communication, collaboration, chaos, and celebration. It discusses each principle in 1-2 paragraphs and provides examples. The principles emphasize wondering and questioning, explaining concepts simply, working together, engaging with non-routine problems, and acknowledging mistakes as learning opportunities. The overall message is that mathematics instruction should move away from rote memorization and toward active thinking, discussion, problem-solving, and an appreciation for the learning process.
![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.](https://image.slidesharecdn.com/5principlesedscape-151017160700-lva1-app6891/85/5-Principles-of-the-Modern-Math-Classroom-Edscape-2015-34-320.jpg)
5 Principles of the Modern Math Classroom - Edscape 2015
- 1. 5of the MODERN Mathematics Classroom Gerald Aungst Edscape Conference Woodbridge, NJ October 17, 2015 Principles #5cmath
- 2. 0 1 2 3 4
- 3. 4 Myths About Math
- 10. We are wired to wonder
- 11. Things Humans Still Do Better Than Computers
- 13. —Albert Einstein Theoretical Physicist, Authority on Philosophy of Science If you can’t explain it simply, you don’t understand it well enough.
- 14. Convince Me • Stage 1: Convince Yourself • Stage 2: Convince a Friend • Stage 2.5: Convince a Mathematical Friend • Stage 3: Convince an Enemy
- 16. Traditional Math Instruction 1. Teacher models an algorithm 2. Practice it as a group 3. Practice it alone Repeat until perfect
- 17. 5 Principles Math Instruction 3. Teacher models an algorithm 2. Practice it together 1. Practice it alone (if necessary…)
- 18. 0 1 2 3 4
- 20. iWonder… if Citizen’s Bank Park were completely filled with popped popcorn, how long would it take the Phillies to eat it all?
- 21. —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.
- 22. 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
- 23. iWonder… if Citizen’s Bank Park were completely filled with popped popcorn, how long would it take the Phillies to eat it all?
- 25. —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.
- 26. Catch Me If You Can
- 28. 4 Myths About Math
- 29. The Truth About Math
- 34. 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.