In terms of methodology, learning styles, and management those are needed in the classroom. One should know where the author is coming from. If you want to treat your students like animals, behaviorism works. But that is not how we are to treat students. (I too am a teacher.) Unbelievers have much to teach us as Christians, but we must recognize their presuppositions and how their systems of thought clash with biblical truth. Don't throw the baby out with the bath water, for Jerusalem has much to do with Athens.
To answer your questions though
(1) people learn in many ways visual, hearing, doing. Knowledge is formed by reason, emotion, sensory, intuition, experience, and revelation. Embrace this reality. Don't just lecture at students. I remember one time my college prof made us go up to the chalkboard and dry a diagram explaining the medieval society in Scotland. Fun and I remember that time and lesson well. Utilize everything you possibly can to teach them. Be creative and adjust your lessons to the students.
(2) Focus on the student. You will think you do this, but you dont. At least that was my experience. Interact with them, listen to their questions, and respond to them honestly. Treat them as people. In our society most students expect you to treat them as peers. If you dont treat them as adults though they wont take you seriously.
(3) Be honest and don't talk down.
(4) I learned to write by failure. My high school teacher pridefully said she taught us how to write, but it was not until my junior year in college that I learned the mechanics of writing. Give assignments, lots of them. Give feedback, lots of it. Take your time grading if you do those two things. You are a college professor, you earned that.
Another book that would be helpful, not Christian, but conservative and analytical of secularism is "Amusing ourselves to death." Postman recognizes the power of the clock in the classroom as the real king. Media Ecology, where we focus on the methods is very helpful. Look at things by T. David Gordon and Greg Reynolds here. Perhaps even a few things by Dallas Willard would help, as hes taught in the secular realm for his whole life.
Probably your best bet would be to contact certain professors at leading Christian schools that want to be academically competitive (Union, Calvin, Wheaton, Grove City)
this might be more general than you hoped for. But after my first year teaching they are huge lessons for me.
