My CT says he tries to assign homework everyday. However, he said when he doesn't get through a lesson he will wait to assign it after he finishes the lesson. He said he tries to create assignments that give the students a little bit of a challenge and also problems that help them on their tests. He said he would love to go over every problem and give the students feedback on every single problem, but he just doesn't have the time to do that. So he goes over every problem and sees if the student put in effort to work the problem. He doesn't give any of the students projects for the students to do.
My ideal way of going over homework is to give students assignments with 8 or 9 problems on it. I would assign something for every lesson and the students would turn them in the next day. I would then grade them on the completion but give them comments on the actual work. I think that grading them on completion and not the work is because homework is for practice the problems so the students are probably going to make mistakes on it. Then the feedback will help the students see their mistakes and they can learn from them. Hopefully I will be able to actually use this system and I don't have to skim back on it due to lack time.
You mention that the homework is like the problem they do in class and so students should not have much trouble with them. Do you have a sense that after class everyone knows what to do? Also, if they already know what is the point of giving them additional problems to do? I think you have an idea for how you want to collect and grade homework. Your reasoning for grading on completion is a good as your reasoning is based on wanting the homework to be practice and not penalize students for not getting things yet. I think that if this is why you want to grade on completion than the commenting you mention is critical! I think that if you get in a routine you should be able to manage it.
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