# Category Archives: Against the Norm

## Making Sense of Invert and Multiply

As elementary teachers, we rarely have the opportunity to explore division of a fraction by a fraction. When we do, it’s normally accompanied with Keep-Change-Flip or the saying “Yours is not the reason why, just invert and multiply.” Both are conceptual … Continue reading

## The Multiplication Sundae and the Bad Taste of Incentives

Earlier this week I received an email asking for incentive ideas for a school wide fact fluency focus: Hi Graham, I need some insight about math facts and incentive programs. I follow your site and have read Not Your Mom’s … Continue reading

## 3-Act Tasks (#49, #50, #51)

They come in waves. It’s both a blessing and a curse. Seems like everywhere I walk there’s a perplexing question I can’t just let go of. The bug of mathematization has hit my entire family. My wife is a teacher and for … Continue reading

## Becoming a Better Storyteller

I recently had the amazing opportunity to be 1 of 6 speakers at ShadowCon16. The whole premise of ShadowCon is awesome and full credit goes to Zak Champagne, Mike Flynn, and Dan Meyer for having the vision and bringing this all together. … Continue reading

## Be the Teacher: Moving from Counting to Cardinality

Cardinality…what is it and what does it look like? If you’re not a kindergarten teacher you might be left shrugging your shoulders if someone asked you to define cardinality. Before students can own the idea of cardinality, they need to have … Continue reading

## The Progression of Addition and Subtraction

The more I create… the more I learn. Here is the 3rd installment of this whole Making Sense Series which has truly forced me to be a better teacher. A more educated teacher. I can’t stress enough how much I’ve … Continue reading

## I’m Placing a Hit on the Pseudo-Context

This robs students of everything mathematics should be… The “real world” connection The step-by-step procedure Circle the numbers you need to solve the problem The pseudo-context word problem. Lesson 19.2 infers that this unit is front-end load with procedures and formulas … Continue reading

## The Progression of Division

Last month I posted The Progression of Multiplication hoping that a couple of friends and parents would find it helpful. Well, here’s my stab at the progression of division. I understand that there’s lots of ways to model division and this is only … Continue reading

## GCTM Ignite Talks

Back in April I submitted a proposal to Georgia Council of Teachers of Mathematics. Special thanks to Suzanne Alejandre from the Math Forum the proposal write up. I have always been inspired after leaving or listening to the Ignite Talks hosted by our … Continue reading

## Pulling the Plug on a Lesson

I taught a lesson on Tuesday and it sucked…Real bad! It sucked more than Maggie Simpson sucks her pacifier! I really felt for the 21 students, 4 teachers and the administrator who were observing. My face is still a little … Continue reading