Category Archives: Concepts

Strategies for Addition and Subtraction

“Let’s go invent tomorrow rather than worrying about what happened yesterday.” -Steve Jobs Sometimes we hear from parents and some teachers that they would love us to go back to teaching math the way they learned it. They say they can’t … Continue reading

Posted in Concepts, Progressions | Tagged , , , , | 2 Comments

Place Value Computation Strategies

Can you do Division?  Divide a loaf by a knife – what’s the answer to that?  ~Lewis Carroll, Through the Looking Glass Once students are fluent in place value they are ready to start using those concepts in computation. The Utah Core … Continue reading

Posted in Concepts, Progressions | Tagged , , , | Leave a comment

Place Value, or Thank You Hindus and Arabs, or The Beauty of the Base-Ten Numeration System

I have been doing a lot of thinking about place value lately. Yes, I need a life outside my standard state-issue gray cubicle. Nonetheless, I have become caught up in the beauty of the Hindu-Arabic number system. We also know … Continue reading

Image | Posted on by | Tagged , , , , , | 9 Comments

Conceptual Understanding

“Science is built up of facts, as a house is built of stones; but an accumulation of facts is no more a science than a heap of stones is a house.” ― Henri Poincaré, Science and Hypothesis While Poincaré was writing about … Continue reading

Image | Posted on by | Tagged , , , , | Leave a comment