There are a couple of mathematical points to make which inform the English involved.
(1) 'Addition' (yes, simple addition!) covers two major operations:
(a) Combination of two elements from a set (a binary operation) (eg 3 marbles + 2 marbles = 5 marbles).
(b) Transformation of one element into another (a unary operation) (eg a 3cm-long worm grows by 2cm )
Both are modelled identically by 3 + 2 = 5, but a transformation arrow with '+2' over the top is fitting for the transformation.
In the first case, addend + addend = sum / total
In the second case, augend + addend = sum / total.
(2) We've had a thread discussing the fact that there is no agreed term for the result of a subtraction; 'directed difference' is used by some.
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