Math

An Inductive Exploration of Linear Graphs

Let's play with linear graphing! First, don't set this up as a direct instruction lesson. That wouldn't be playing. Instead, capitalize on your students' ability to think inductively and recognize patterns. Set up a situation where they can construct their own meaning.

Creating A New Mathematical Operation

Do your students realize that addition, subtraction, multiplication, and division are all examples of the same idea: an operation? And that it's quite possible to create a brand new operation? Let's do it!

Math and Novelty: What if we didn’t have 10 numerals?

Looking for some ways to challenge your advanced mathematicians? If you'd like to keep them on the same topic as the rest of your class, consider increasing the complexity of your current unit. If they're in need of more advanced curriculum to keep their creativity flowing, try to bring in novel ways of looking at math.

A Math Question That Moves Around on Bloom’s

I was aiming for engagement rather than higher-level thinking.

Depth and Complexity: Ethics… In Math!?

The Ethics prompt of depth and complexity fits so easily into the humanities… but what about ethics in math?!

Math Game: Heaps

Heaps is a lovely math-y strategy game that requires no more than paper and pencil to play.

The Collatz Conjecture

A "conjecture" is an idea that is believed to be true, but has not yet been proven. They are authentic unanswered questions for students to explore. The Collatz Conjecture uses two simple rules to get from any number to 1. It seems to work for all numbers...

Mathematical Curiosities

Sometimes you encounter that math student who is simply interested in numbers. Here are some famous (and not so famous) sets of numbers that have curious properties.

Exploring Circumference With Famous Circles

Remembering the formulae for area and circumference of a circle is often a challenge for students due to their surface similarities as well as the additional confusion of radius and diameter. I like to tackle them one at a time and give students a chance to explore the origin of each formula. Let's look at circumference today by utilizing some famous circles from around the world... and beyond!

Goldbach’s Conjecture

Our look at math conjectures continues with Goldbach's Conjecture, which states that all even integers greater than 2 can be written as the sum of two primes. Is this true for all cases? Another authentic, unsolved question.

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