"So, what do I do with 'double?'" (assignment: write these phrases as algebraic expressions)
"If I said 'double your age,' what would you do?"
"25 + 25"
And that is the same as 2 times 25, right?

These mathematical synonyms... we interchange them at our leisure and can forget that a significant number of our students DO NOT KNOW the relationship between addition and multiplication.

Just because they should doesn't mean they do.

Just because they don't doesn't mean they can't.

Hey, I think I've come up with a great tagline...