I don't know about connections between science and religion (besides them both being human inventions), but I do know this:

If you could place two tribes on two separate islands, set their technology back to stone-age, and let them live separately for 10,000 years, chances are pretty slim that both tribes would come out saying "Hallelujah, praise Jesus."

Chances are, however, that both tribes would have invented the wheel, thought up Pythagoras', come up with Maxwell's laws, Newton's differentials, maybe even theories of relativity and astro-physics.

Religion is invented (by god or man is up to the reader to vote on), and taught. Science is discovered and understood.