I frequently have arguments with competent mathematicians about the role of rote learning in arithmetic. I think when you move "beyond" arithmetic, you can also forget how important number recall is, in being able to manipulate numeric symbols fluently according to the rules of arithmetic.
Include base (hex, binary) and .. its getting worse.
Numeracy, numerical literacy and fluency, understanding both the symbol set, and its behaviour in rules of arithmetic, needs to be a given, to talk cogently about numbers.
Simply teaching all kids the 12x tables, and how to handle the arithmetic of change giving at a till from the specific units of coin and note available, how to run a total in their head, how to calculate % will be life skills which might literally save their job. And its foundation is recall, and rote learning.
Not everyone is heading to 3rd order differential analysis.
Include base (hex, binary) and .. its getting worse.
Numeracy, numerical literacy and fluency, understanding both the symbol set, and its behaviour in rules of arithmetic, needs to be a given, to talk cogently about numbers.
Simply teaching all kids the 12x tables, and how to handle the arithmetic of change giving at a till from the specific units of coin and note available, how to run a total in their head, how to calculate % will be life skills which might literally save their job. And its foundation is recall, and rote learning.
Not everyone is heading to 3rd order differential analysis.