In what sense is being able to do addition or subtraction with different numbers, for example, which is what it means to learn addition or subtraction, not ‘the exact same problem but with different labels’?
FWIW, when I wrote “the exact same problem but with different labels” I meant “the exact same problem but with different arbitrary names for entities”.
For example, I would consider the following two problems to be “the exact same problem but with different labels”:
I’m failing to see a goal-post-moving between me writing:
and then later writing (in reply to your comment quoting that sentence):
If I’m missing something I’d be grateful for a further explanation.
In what sense is being able to do addition or subtraction with different numbers, for example, which is what it means to learn addition or subtraction, not ‘the exact same problem but with different labels’?
Thank you for clarifying!
FWIW, when I wrote “the exact same problem but with different labels” I meant “the exact same problem but with different arbitrary names for entities”.
For example, I would consider the following two problems to be “the exact same problem but with different labels”:
“X+1=2 therefore X=”
“Y+1=2 therefore Y=”
But NOT the following two problems:
“1+1=”
“1+2=”