The Emergence of the Modern Scientific Method

Some of you have asked about the approach of direct experience and observation leading to potential lawful relationships, and then these laws (theories) forming particular predictions (hypotheses), and then subjecting these predictions to mathematical evaluation.

I found this book, available to us on JSTOR, to be useful.

These chapters and the work of Roger Bacon, an apparent student of a Robert Grosseteste at Oxford, describe crucial developments:

The Scientific Achievement of the Middle Ages

There is a BBC4 podcast on the life of Bacon if you get tired of reading after Chapter 3:

Roger Bacon podcast