I mean, I have watched groups of elementary school teachers work on the same sort of problems they assign (fractions being one example) and struggle mightily. They understand the basic concept of what a fraction is, but many of them get bogged down in the algorithms because they don't really understand what the algorithms represent.
What is a "common denominator" beyond "the thing you put fractions over to be able to add them"? Many of the teachers I've worked with would struggle to explain this to students.
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I mean, I have watched groups of elementary school teachers work on the same sort of problems they assign (fractions being one example) and struggle mightily. They understand the basic concept of what a fraction is, but many of them get bogged down in the algorithms because they don't really understand what the algorithms represent.
What is a "common denominator" beyond "the thing you put fractions over to be able to add them"? Many of the teachers I've worked with would struggle to explain this to students.