Mathematical Musings

Mathematical Musings

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What is conceptual understanding?
A definition everyone agrees with, just you wait
May 22 • Bill McCallum
Think of a number
Double it, add 6, divide by 2, and take away the original number. The number you have is 3.
May 20 • Bill McCallum
Making meaning
Who is taking care of that?
May 15 • Bill McCallum
Where have I been and where am I going?
You might well ask
May 13 • Bill McCallum
Something fun for a change
In which I continue reading the references
May 8 • Bill McCallum
Navigating "Navigating the Math Wars"
We interrupt our regularly scheduled programming for a brief report on a report
May 6 • Bill McCallum
Connections and coherence
Where's the math?
May 1 • Bill McCallum

April 2026

Making connections
Simple idea, hard in practice
Apr 29 • Bill McCallum
I did the research
I consulted a children's story, a math ed research article, and a mathematician
Apr 24 • Bill McCallum
Cakes and bicycles
Why teaching mathematics is not like teaching anything else
Apr 22 • Bill McCallum
Seeing with new eyes
Two episodes when technology revealed something familiar as something new
Apr 17 • Bill McCallum
Beautiful expressions
This post brought to you by the letter x
Apr 15 • Bill McCallum
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