Daedalus and Icarus try to Escape
(Lothar Collatz, 1937)
The Collatz conjecture from 1937 is essential in every student’s experience of mathematics. Here we present it with a backdrop from Greek mythology.
It gives students practice in multiplying by 3 so when the bulk of your class is ready to learn 3 x 17 = 51 is the perfect time to use it.
Printable puzzle-sheets here.
Today’s scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.Nikola Tesla
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.