In the first assessment method, I circulate around the classroom at the beginning of class to check inside each student's notebook. A student receives full credit if they have attempted each problem, regardless if their answer is correct.
In the second method, I give the students a One-Question Quiz the day the homework is due. The one question is extremely similar to the homework problems. A student receives full credit if they answer the question correctly, and I do not look in their notebook. Because of the increased stakes of this second method, I also make the full solutions available the night before and invite students to come by during lunch to ask any questions.
Each method of checking homework has its pros and cons. I was unsure which method to implement in the new year, so I decided to hear the students' thoughts. I'm impressed by their insight into their own learning.