3.2.2, due on October 19

I generally understood the proofs of the lemmas in this section but I think I'm still missing how everything connects for the theorem. Another thing that was hard for me is recognizing why they were saying that certain integers were equivalent to __ mod _ . The beginning of the proof for theorem 3.2.2.2 shows us that if m=uv when u is a sum of squares and v is a sum of squares, then m is also a sum of squares. This seems so simple and I'm surprised I didn't already know it, but I have never before thought about it. This class is helping me to ask questions about things that I have previously accepted for face value and I'm learning to look for patterns and things that are always true which will help me to develop as a math teacher and also help me to aid my students in developing their problem solving skills.