Prominent theoretical physicist and science educator David Hestenes begins his widely cited paper Modeling Games in the Newtonian World (American Journal of Physics 60, 732 (1992)) with this:
The great game of science is modeling the real world, and each scientific theory lays down a system of rules for playing the game. The object of the game is to construct valid models of real objects and processes. Such models comprise the core of scientific knowledge. To understand science is to know how scientific models are constructed and validated.
My question -- Where does contemporary philosophy of science stand on this view -- that the business of science is modelling? Both personal opinions and references to supporting, opposing or other views are welcome.
Note that the emphasis of my question is somewhat different than and narrower than these...
Is Science about Truth or Adequate Models?
... which are about the metaphysical status of science and scientific assertions and their relationship to reality and truth (at least that is how they got answered).
My question here is more about what scientists are actually doing when they conduct science -- the "business" of science, as it were, how it is carried out rather than its ultimate aim or meaning. I realize those are not necessarily easy to disentangle, but I am seeking references that lean toward the business side rather than the meaning side. Maybe ignoring the world "real" in the cited paragraph will help.