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A while back I shared a kindergarten lesson and I was really happy with the way it turned out.  The 5th-grade lesson below, not so much.  The students did great but there are definitely some things I need to improve. We recently finished up a district PL where we used...

## I’ll Rip Your Face Off: The Art of Defacing Manipulatives

It’s our fault. We have no one to blame but ourselves. We unknowing pigeonhole student thinking with the manipulatives we use. Take fraction tiles for example. Much to my disappointment, they come with labels and it kills me. Manipulatives that come pre-labelled...

## 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...

## 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...

## 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 ONE of...