Five strands of mathematical proficiency
From NRC (2001) Adding it up:
Helping children learn mathematics
Conceptual understanding:
comprehension of mathematical concepts, operations, and relations
Procedural fluency:
skill in carrying out procedures flexibly, accurately, efficiently, and appropriately
Strategic competence:
ability to formulate, represent, and solve mathematical problems
Adaptive reasoning:
capacity for logical thought, reflection, explanation, and justification
Productive disposition:
habitual inclination to see mathematics as sensible, useful,
and worthwhile, coupled with a belief in diligence and one’s
own efficacy.