I’m not sure I understand the difference between mathematical thinking and mathematical knowledge. Could you briefly explain or give a reference? (e.g. I am wondering what it would look like if someone had a lot of one and very little of the other)
Mathematical knowledge would be knowing that the Pythagoras theorem states that a2+b2=c2, mathematical thinking would be the ability to prove that theorem from first principles.
The way I use the phrase, mathematical thinking doesn’t only encompass proofs. It would also count as “mathematical reasoning” if you figure out that means are affected by outliers more than medians are, even if you don’t write down any formulas, equations, or proofs.
I’m not sure I understand the difference between mathematical thinking and mathematical knowledge. Could you briefly explain or give a reference? (e.g. I am wondering what it would look like if someone had a lot of one and very little of the other)
Mathematical knowledge would be knowing that the Pythagoras theorem states that a2+b2=c2, mathematical thinking would be the ability to prove that theorem from first principles.
The way I use the phrase, mathematical thinking doesn’t only encompass proofs. It would also count as “mathematical reasoning” if you figure out that means are affected by outliers more than medians are, even if you don’t write down any formulas, equations, or proofs.