I remember learning all about Al Jazari (and all of the other Muslim scientists, philosophers and doctors at that time) back in primary school. As an Arab I can't help but feel both proud, of such achievements, and yet so sad, because of the state of decline the Islamic contribution to the scientific advancement has known.
Once we replace "Islamic contribution" with "Arab contribution", we will move forward.
Much of the Islamic scholarship at the time revolved around gaining a greater understanding of the creation of God as a means to draw nearer to God.
In addition a lot of scholars in the major Islamic centres weren't even Muslim. For example, the conquest of the Iberian Peninsula (welcomed by the local Jewish population) ushered in a Jewish Golden Age which produced Maimonides, one of the greatest Jewish scholars of the time.