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Math

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.

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.

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.

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.

Using a Classic in Math!?

According to Costello, 7 × 13 = 28. In fact, watch him prove it…

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.

A Math Question That Moves Around on Bloom’s

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

Math Project: Shrinking Airline Seats

What kind of math project could you build based on the shrinking dimensions of seats on the Boeing 777?

Fixing my “Think Like A Statistician” Frame

I used a Depth and Complexity Frame like this with my math students. Let’s look at how we could improve this. Some problems: It asks four unrelated questions. I want to build a sequence of questions that climbs Bloom’s Taxonomy. Most of the questions are naturally answered with “yes” or “no” or a list. Questions […]

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?"
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