It doesn't. There is no modern controversy over evolutionary theory in science, only in the minds of creationist who bring their nonsense, devoid of all science, into the public square. There are not two ways of knowing the physical world ( " two ways of knowing " sounds right out of the post modern playbook ) but only the one way of empirical investigation. The scientific method.
Evolution is a fact and the theory of evolution by natural selection explains much about this fact. There is no equal weight of opinion here. One side, the scientific side, has the evidence. The other side, the creationist side, has nothing but ideology and political attempts to get their " viewpoint " into the public schools and the public discourse.
This controversy reflects the imagined (creationist) and factual (evolutionary) ways of knowing about the physical world.
- Creationism tells us how its adherents want to world to be, particularly about what they want the story of its creation to be. It is generally based on ancient religious beliefs.
- Evolution is what scientists find actually happened to life on earth, and forms part of the larger scientific picture of the natural world. This explanation does not attempt to answer questions on religion.