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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 VerticalNonPermanentSurfaces (aka VNPS) I first found out about VNPS on Nathan Kraft’s blog which referred me to Alex Overwijk’s … Continue reading
K1 Number Sense Trajectory
Before I travelled to NCTM I was finishing up some district PL with K1 teachers. As part of the workshop, teachers were asked to engage in a Number Sense Trajectory CutNSort match header and descriptor place in the order that students … Continue reading
Posted in counting, K2, Math Progressions, Number Sense, Planning, Teacher Content
Tagged comparison, counting, professional learning, subitizing, Trajectory
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 35, Estimation, Fractions, Making Math Accessible, Math Tools, Number Sense, SMPs, Strategy Development
Tagged fractions, number lines, Number Talks
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 35, 68, 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 35, 68, 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 35, 68, Cheese Mover, Estimation, Fact Fluency, Math Tools, Number Sense, Strategy Development, Teacher Content
2 Comments