I don’t think that it carves reality at its joints to call that “mathematical ability.”
… and we’re down to definitional quibbles, which are rarely worth the effort, other than simply stating “I define x as such and such, in contrast to your defining x as such as such”. Reality has no intrinsic, objective dictionary with an entry for “mathematical ability”, so such discussions can mostly be solved by using some derivative terms x1 and x2, instead of an overloaded concept x.
Of course, the discussion often reduces to who has the primacy on the original wording of x, which is why I’d suggest that neither get it / taboo x.
I agree that a more complex, nuanced framework would better correspond to different aspects of cognitive processing, but then that’s the case for most subject matters. Bonus for not being as generally demotivating as “you lack that general quality called math ability”, malus points because of a complexity penalty.
… and we’re down to definitional quibbles, which are rarely worth the effort, other than simply stating “I define x as such and such, in contrast to your defining x as such as such”. Reality has no intrinsic, objective dictionary with an entry for “mathematical ability”, so such discussions can mostly be solved by using some derivative terms x1 and x2, instead of an overloaded concept x.
Of course, the discussion often reduces to who has the primacy on the original wording of x, which is why I’d suggest that neither get it / taboo x.
I agree that a more complex, nuanced framework would better correspond to different aspects of cognitive processing, but then that’s the case for most subject matters. Bonus for not being as generally demotivating as “you lack that general quality called math ability”, malus points because of a complexity penalty.