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#### Mondrian Art Puzzles

##### (MathPickle, 2015)

This first video with Brady Haran for Numberphile is a joy for me. It is, however, not the type of video to show a class because it will demotivate them. You never want your students to believe they are competing against computers. They will do better to believe they are creating and discovering original stuff. An elementary student’s world is small. Keep it that way 😉

After the numberphile video came out Hannes Bassen was inspired to write an academic paper on Mondrian Art Puzzles. He found optimal scores superior to the optimal scores presented in the Numberphile video! Ed Pegg has made long range predictions about the behaviour of the sequence generated by optimal scores…

Below are the record values discovered by students, teachers, mathematicians and parents. Some of these scores may drop further. The 10x10 square seems especially difficult to get a nice low value for. Perhaps a score of 9 is as low as possible. Do not show this list to your class. They should compete among themselves or with another class at your school. Anyone wishing to extend this list beyond 12x12 or those finding better solutions should email me.

### Low Score for 32x32 (Hannes Bassen, 2016)

Alison Hansel’s class has produced a most joyous celebration of Mondrian Art Puzzles below and left 😉

They are using a 10 by 10 grid. I’m not sure which the best result is, but it might be the one on the second rightmost column and the second row from the bottom.

Thank you all!

#### Standards for Mathematical Practice

MathPickle puzzle and game designs engage a wide spectrum of student abilities while targeting the following Standards for Mathematical Practice:

##### MP1 Toughen up!

This is problem solving where our students develop grit and resiliency in the face of nasty, thorny problems. It is the most sought after skill for our students.

##### MP3 Work together!

This is collaborative problem solving in which students discuss their strategies to solve a problem and identify missteps in a failed solution. MathPickle recommends pairing up students for all its puzzles.

##### MP6 Be precise!

This is where our students learn to communicate using precise terminology. MathPickle encourages students not only to use the precise terms of others, but to invent and rigorously define their own terms.

##### MP7 Be observant!

One of the things that the human brain does very well is identify pattern. We sometimes do this too well and identify patterns that don't really exist.

Please use MathPickle in your classrooms. If you have improvements to make, please contact us. We'll give you credit 😉