Certex Recipe (counting, pattern)

Certex Recipe (counting, pattern)

Vertex Recipe (Jeremiah Hockaday, 2025) Which vertex recipes work and which fail? Look for patterns. The conversation continues below about why graph theory should be considered when designing curriculum.   Do these fail? {1,2,3} {1,2,3,4} {1,2,3,4,5}...
Roll Reversal (counting, addition, manipulatives)

Roll Reversal (counting, addition, manipulatives)

Can you figure out the rules for Roll Reversal by just looking at this sample? We’ll explain the rules on the next few pages, but sometimes it’s fun to get your students to flex their inductive problem-solving muscles! We are going to use Cuisenaire rods....
Fussy Friend Graphs

Fussy Friend Graphs

Can you figure out the rules for fussy friend graphs just by looking at an example of a failure due to a fussy friend? The “4” is a fussy friend. This graph failed because the edges connecting “4” to other friends do not add up exactly to 4. To...

Controlled Burn (addition, pattern)

Controlled Burn (addition, patterns) (MathPickle, 2015) Optimal solutions are often not the best-looking ones. Not true for controlled burn! This puzzle features some of the most beautiful solutions on MathPickle. A big thank you to Trevor Hoffman for getting...
Composite Critters (prime, composite, shape)

Composite Critters (prime, composite, shape)

Composite Critters (Inspired by Solomon Golomb, 1981) In my twenty years of designing puzzles for the classroom, this is the most important because it reliably engages K-2 students in rich mathematical ideas that were traditionally introduced many years later in their...