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.

# Content Area: Math

## 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…

## Why Pi?

Pi Day is just around the corner, but the typical fare include π art projects, memorization challenges, or other activities that separate π from its real uses. But π is such a fascinating topic that it should inspire curiosity and wonder on its own.

## Big Gifts, Small Prices

What if you want to buy a big gift that’s cheap for its size? By calculating the volume of the object, we can find how much each cubic inch costs. Measured by price per volume, Thomas is 250 times more expensive than a big outdoor slide!

## 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.

## Conflict and Quadrilaterals

Struggling math students shut down when they’re smacked with a mouthful of academic vocabulary right away. So lower the barrier of entry. Ask students to identify the conflict between two shapes, rather than defining “congruent sides” and “bisected diagonals.”

## Math Project: Box Office Totals

As a teenager, I loved monitoring the weekend’s box office results. This kind of data is exciting, oozing with built in conflict. It sets up questions that require math to answer.

## Math Project: Disneyland Parking Structure

Let’s develop a math project to challenge students who have demonstrated a mastery of multiplication and are ready to explore its applications. We’ll count the parking spaces in the Disneyland parking structure!

## Math Game: The Game of 100

The Game of 100 is a simple game requiring no supplies, yet it opens up a rich world of exploring strategy and a little mental math.

## Differentiate Math with Inductive Learning

With inductive learning, we still define terms, explain rules, and practice, but the order is different. We’re harnessing gifted students’ natural abilities to enhance our lessons.

## Constructing Meaningful Math Projects

Here are four key attributes I look for when developing math projects: juicy data, interesting conflict, an expert’s lens, and a final product.

## Explore Geometry: Area and Perimeter

The problem is that we dive in with formulae before students have their bearings. Let your students get their hands dirty with geometry. They’ve got to play with the shapes and explore. Beginning adders and subtractors work with manipulatives before they delve into abstract arithmetic. Older students are still beginning geometers. Give them a chance to touch the math and have some fun.

## Math Project: Furnish A Hotel

Starting with an IKEA catalog, a hotel furnishing math project was born. Use this project as a tool to differentiate your math instruction and impart some practical knowledge on your students.

## 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.

## 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!

## 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.

## To Show Or Not To Show Work In Math

We must be careful not to admonish our intuitive learners for being intuitive. As teachers of the gifted, we must set up learning environments that are best for our students. And if they’re doing it all in their heads (and getting it right!), then the environment needs to change.

## An Apple Stock Math Project

Entice your gifted mathematicians with real world data and an authentic problem such as: “Let’s say that instead of buying the original iPod, you spent the same amount of money on Apple stock. How much would that stock be worth now?”

## Solving An Authentic Classroom Problem: The Desk Arrangement

How often do you give your gifted students the opportunity to solve authentic, relevant problems? What is more authentic to a student than solving classroom problems? And what excites students more than having ownership over the classroom seating? Here’s an authentic problem solving idea that ties in public speaking skills, group work, and classroom ownership.