Category Archives: Number Sense

When Student Thinking Hits the Wall: VNPS

First week back to school and I was chomping at the bit to begin working on my #1TMCthing. My quick backstory about Vertical-Non-Permanent-Surfaces (aka VNPS) I first found out about VNPS on Nathan Kraft’s blog which referred me to Alex Overwijk’s … Continue reading

Posted in 3-5, 3-Act Tasks, Making Math Accessible, Math Tools, Modeling, Number Sense, Patient Problem Solving, Teacher Content, Teaching in a Context | Tagged , , | 8 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 , , , , | 15 Comments

A number line, number string, and Number Talk walk into a class…

As teachers and students ramp up for testing I was invited to visit a 5th grade class and asked to focus on fractions.  Before the lesson, the teacher and I discussed the importance of a number line, which was an extension of … Continue reading

Posted in 3-5, Estimation, Fractions, Making Math Accessible, Math Tools, Number Sense, SMPs, Strategy Development | Tagged , , | 6 Comments

Undoing Concrete Models

Students can create models that represent their understanding, but can they undo models that explain the reasoning of others?  It was time to find out.  I showed this picture to a 5th grade class and asked them to write an equation … Continue reading

Posted in 3-5, 6-8, Cheese Mover, Estimation, Math Tools, Modeling, Number Sense, Strategy Development | 5 Comments

Subitizing to Foster Multiplicative Thinking

Learning basic facts through tricks or a mnemonic song lead students down a path of memorization, not understanding.  I previously discussed the idea of conceptual development here.  When students practice their multiplication facts, they’re expected to move from concrete to abstract … Continue reading

Posted in 3-5, 6-8, Estimation, Fact Fluency, Games, Math Tools, Number Sense, Strategy Development | 13 Comments

Take a Math Trick and Make it Bleed

I hate math tricks and avoid them at all costs. Tina Cardone and many members of #MTBOS are huge advocates of conceptual learning which is how we became blessed with this gem. There’s no denying that students love tricks, especially the … Continue reading

Posted in 3-5, 6-8, Cheese Mover, Estimation, Fact Fluency, Math Tools, Number Sense, Strategy Development, Teacher Content | 2 Comments