64 = 65 Mathemagical Proof

(Martin Gardner)

Get your older students to break apart a convincing mathemagical trick by linking it to the Fibonacci sequence and calculating the slopes of some line segments. Younger students derive a lot of pleasure by figuring out that some things that look like triangles are not really triangles.

Printable 8x8 cake here.

Children at play are not playing about; their games should be seen as their most serious-minded activity.

Michel de Montaigne

1533 - 1592

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 😉

Gordon Hamilton

(MMath, PhD)


Lora Saarnio