I don't understand why he'd want to do a separate pour for a curb unless it is slab construction, but that doesn't sound like what you have.
Here in Maine there are 2 options:
1) The right way: footer, frost wall (foundation wall), floor. Just like a house with a full basement, there are 3 different pours; 4 ft deep trench with footer on bottom (4 ft is frost line in Maine), then walls are formed and poured to grade height + some. In this case you can pour pretty much as high as you want above grade to get your height or just to keep you lumber off grade, but it doesn't make much sense to do it in separate pours. The floor is then poured inside the walls
2) Slab on grade construction (the cheap way out). For garages up to 28x28 you can get away with single pour "floating" slab, thicker around the edges if necessary, where the slab is supporting the building because there are no footings and frost wall. You then can build a curb on top of the slab with block or a second pour to get the height you want or get off grade.
My confusion from your question is why would you form and strip twice instead of once, have the concrete truck there twice (well 3 times), and sacrifice the strength....maybe I'm just not understanding the construction out there.