Counting is one of the first skills that a student of mathematics learns. Here we feature an article that observes patterns while counting and generalises this pattern. While the actual combinatorics and use of the binomial theorem may be appreciated only by students of classes 11 and 12, students of High School will certainly be able to follow the reasoning in the two examples given. It is important for students to have such gentle introductions to mathematical notation and theorems used at a more senior level.

Just imagine, in a routine mathematics class a teacher enters the class room with a colorful board game. Instead of instructing students to take out their math textbooks/note books and setting work for them, he just opens the game board and allows students to play the game. The eyes of the students sparkle and they enjoy playing. Even the back benchers (who generally do not get involved in class room work) come forward to play and give a neck to neck fight to the scholars in the class.

Invite your middle school students to this set of problems.

What better way to learn about primes and periodic curves than to play with visualizations of them? Rajkishore shares a resource created by Jason Davies and called 'Prime Number Patterns'  that allows your students to do just that.

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Here is a resource on factorization that is bound to capture the attention of your students. You can show your students a few and see what they come up with on their own too! The resource created by Stephen Von Worley was based on Brent Yorgey's Factorization Diagrams. 



I had a fight with Euclid on the
nature of the primes.
It got a little heated – you know

Understanding the algebraic identities...

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