Difficult:
For me, the most difficult part of this section was in section 1.3. In the fundamental theorem of arithmetic, it states how every integer is unique. I was very confused by how p could be a plus or minus q. I just couldn't understand what this statement was saying, and how it made each prime factorization unique. I think I just got lost in all the plus or minus signs. I had a really hard time trying to keep track of them, and whether or not they were canceling out, or if the answers were negative or positive. I found the plus and minus signs in the Fundamental Theorem of Arithmetic and its proof to be very confusing and the most difficult part of this section of reading.
Reflection:
I really liked section 1.3. It reminded me of what prime numbers are and that all numbers can be factored into a product of primes. This is something that as a secondary math teacher, I will encounter a lot as I teach high school and middle school students. As I gain a better understanding of prime and prime factorization, I will be able to better articulate these ideas to my future students. Also, in section 1.2, I liked learning about relatively prime. I made a task in one or my previous education classes that used the concept of relatively prime to solve the problem, so it was nice to see this concept come up again in this class. I plan to use my task in my future algebra classes, so I will also teach my students about what it means for two numbers to be relatively prime which was discussed in this abstract algebra book.
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