Grading Homework

How should I grade homework? I can't get over the idea of not grading homework completely for accuracy, but I know that if I keep grading every question my life if going to end and I will not be able to grow as a teacher.

I don't want to not grade all of it because I don't want to give my students the impression that I don't look at their work, or that if they do set up a problem wrong I want them to get the feedback necessary to grow as a student. My cooperating teacher grades for completion of the assignment and then samples a few questions. Do you think this is a good way to go? Are there other alternatives for grading paper homework? I don't have the option to use an online homework system unless it is something I can do for free.

First Week of Student Teaching

This week was my first week of student teaching, and hence I have more hours of classroom time than I had in the past semester, and in two more weeks it will be more than I had in the past year and a half. I don't know, I just feel unprepared for actually teaching. How do I pace a unit? How do I assign homework from a textbook? How do I actually see all of my students working when I'm writing on an overhead and the light in my eyes makes it hard to see anybody?

I'm glad I have my cooperating teachers to help me along the way, but I still feel like these things should have been emphasized in my program (not the overhead thing, but the others). How do you actually have time to cover material when periods are only 50 minutes long and students take about 5 to settle down? Classroom management was something we talked about a lot in our classes, but it doesn't help to "practice" them on ourselves since everyone in our program knows how we should act, we need to be in a classroom. I want to be a successful teacher, and I know I will be always learning about how to handle my class.