The most difficult thing about this section for me is understanding the extended Euclidean algorithm. The method for using the extended Euclidean algorithm was a little confusing to me. I supposed if I had to practice using the algorithm it would make more sense. But, the thing that bothers me more is I still don't fully understand why the extended Euclidean algorithm works. I like knowing the proofs of things, oddly enough. I like seeing why something works.
It was interesting to read more about number theory. I had forgotten how much I love learning about greatest common factors and number theory in general. Maybe I need to take a number theory class. I remember working with number theory in a math education class, and seeing how different methods students used to find GCDs turned out to be mathematically correct, and the reasons behind the methods. I don't think I will use the number theory used in this class much in my future professional life, but I know I will need to understand the number theory in this course in order to properly teach it to my future students.
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