Category Archives: Math Progressions

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 … Continue reading

Posted in 3-5, 6-8, Against the Norm, Fractions, Making Math Accessible, Making Sense Series, Math Progressions, Math Tools, Strategy Development, Teacher Content | 21 Comments

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

Posted in 3-5, 6-8, Against the Norm, Fractions, Making Sense Series, Math Progressions, Number Sense, Planning, Strategy Development | Tagged , , , , , , | 12 Comments

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

Posted in Against the Norm, counting, K-2, Making Math Accessible, Making Sense Series, Math Progressions, Number Sense | 26 Comments

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

Posted in 3-5, 6-8, Against the Norm, Making Math Accessible, Making Sense Series, Math Progressions, Math Tools, Number Sense, Planning, Strategy Development, Teacher Content | Tagged , , , , | 38 Comments

The Progression of Multiplication

There’s a lot happening in elementary mathematics and it’s really tough for teachers to keep up with it all…let alone parents and administrators. I keep reminding myself that the turtle won the race. It’s my hope that in creating and … Continue reading

Posted in 3-5, Estimation, Making Math Accessible, Making Sense Series, Math Progressions, Math Tools, Number Sense, Planning, Strategy Development, Teacher Content | Tagged | 59 Comments

K-1 Number Sense Trajectory

Before I travelled to NCTM I was finishing up some district PL with K-1 teachers. As part of the workshop, teachers were asked to engage in a Number Sense Trajectory Cut-N-Sort match header and descriptor place in the order that students … Continue reading

Posted in counting, K-2, Math Progressions, Number Sense, Planning, Teacher Content | Tagged , , , , | 7 Comments