by MathPickle | Sep 19, 2015 |
Taxi Cab Squares (inspired by the Inscribed square problem of Otto Toeplitz, 1911) Give your students practice with Cartesian coordinates as they explore a new variant of a famous, unsolved problem of Otto Toeplitz (1911). This problem has a very wide spectrum of...
by MathPickle | Sep 18, 2015 |
Rainbow Squares is a challenge inspired by Henri Picciotto. Each rainbow arc needs to be anchored at two integers that sum to a square. Here we have tried to find a solution for 1-10, but have failed because the last two numbers, 2 and 3, do not sum to a square. Is...
by MathPickle | Sep 18, 2015 |
Full Integer Collatz (MathPickle, 2012) Students can play with variations of the famous 1937 Collatz conjecture. Here we look at two. Students can also come up with their own Collatz-like conjectures. Brian Kehrig, a 15 year old student asked about the...
by MathPickle | Sep 16, 2015 |
Symbiotic Sets (MathPickle, 2014) Symbiotic sets are an excuse to practice problem solving and division. I love these little sets and hope you’ll surpass me by finding more. Please email me your discoveries… In my school, the brightest boys did math and...
by MathPickle | Sep 16, 2015 |
Wormhole! (MathPickle, 2011 – Based on work by Harold Coxeter and John Horton Conway) Send your students on a dangerous trip which coincidently happens to be a fantastic introduction/practice for division. If they make a mistake they’ll crash in a heap of...
