4.5 4.6 5.1

I feel like this section won't be that difficult to do.  I remember talking about the fundamental properties of operations like Commutative Laws, Associative Laws Distributive Laws and De Morgan's Laws.  So I'm excited to learn how to do proofs using them.  I also think the proofs with counterexamples will be a fun section, when reading over the examples I could figure out a bunch of the solutions with out reading them.  The part that I think will be the most difficult is the Cartesian Product part, I understand what they are, but I don't quite understand how to use them in proofs, so I'm excited to learn how to do that. 

4.3-4.4+ questions

I liked that 4.4 used the Venn Diagramms to explain different intersections of A and B, it really helped me see clearly what the book was talking about.  The part I thought was most difficult was when using real numbers in proofs seeing how we use the techniques we already learned, but they are much harder.  After tomorrow when these get explained in class, I think they will make sense just as the other ones did. 

Answers: I probably spent an hour - two hours on each hw assignment.  The lecture helps me understand the hw a lot better than the reading does,  I really understand the way you teach, but at home when doing some homework it is nice to have the book in case I need to look at more examples to understand what is going one.  Doing the homework assignments is what helps me the most in understanding what is going on in this class.  My goal will be to just continue doing the assignments and not falling behind. 

4.1-4.2

I love that we are learning even more ways to solve proofs, and we are getting so many new ways to look at problems.  I'm excited to have you explain these in class because I'm having a little problem with the symbols and terms that were introduced in these chapters.  I think proofs are fun!

3.4-3.5

What I learned from this reading is if two integers x and y and both even or both odd they are of the same parity, and if one is odd while the other is even they are of different parity.  I always thought this was something but I didn't know the specific name that it had assigned to this property.  Another tip I thought was important was when you are evaluating a proof you need to solve it for the general case, and you can't just assign a specific number that works for the proof, or you haven't solved it for all cases. 

3.1-3.3

Something I thought was neat from this reading is the three properties of integers, since they are basically common sense, when writing a proof you don't have to justify them.  What will be most difficult for me from this reading is the proofs, I have always struggled with proofs, and I hope after we talk about this is class I will feel more confident. 

cHaPtEr 0!!!!

I think this reading section had lots of good advice in it for not only mathematical writing but for all types of writing.  For example, know your audience and give yourself enough time to finish the assignement.  It also talked about "spirals" and I feel like that is something I will need to work on because I think I have problems with that sometimes.  It will be most difficult to remember when to use words that are usually interchangeable, such as that and which.  They have very different meanings in mathematical writing. 

2.5-2.8

I was having kind of a hard time understanding the examples when only numbers were being used, but as soon as they used visual examples, like the isosceles and equilateral triangles, I not only  understood better, but when I went back I understood the previous ones better as well.  I thought it was very interesting that when dealing with biconditional statements, both statements can be falst, but when put together the combined statement is true because both parts are false. 

2.1-2.4!

I thought a lot of stuff from this reading was interesting.  The first thing being that statements are either going to be true or false, but that they can not be both.  And the more statements you compare together, the more possible outcomes you have.  All the tables really helped in understanding the different ways writing and comparing statement is possible.  The last thing I found very neat, is how the different ways there are to write if P, then Q, some of them are much more unique that they book mentions, and there are many more ways that they book doesn't mention. 

Assignment 2

Reading Assignment 2:

Sections 1.1-1.6

I really enjoyed the reading in this section, and learning about sets.  I feel like sets are just like a whole other language.  It is the language of math.  After reading this I understood much more of the notation that my teachers have been using in my past math classes for years.  I thought the Venn diagrams really helped me understand what the book was talking about.   What I learned in this chapter will really help me in my math as I continue to progress. 

Assignment 1

Reading Assignment 1:

I am a sophomore in school, and my major in math education.

I have taken Math 112 and I am currently taking Math 113, both Honors sections. 

I am taking this class for my major, and because I’m excited to learn more about math.

Best Math teacher: The best teacher I had was my math 112 teacher I had last semester.  She really cared about us as students, and tried really hard to answer our questions.  And helped us see how this would apply to our lives. 

Worst Math Teacher: the worst teacher I’ve ever had is my teacher from high school, he taught us how to do everything in our calculators, which made it very easy, but I never really learned how to do any of it.

Something interesting and unique about me is I just got my mission call yesterday, I will be serving in the California San Jose Mission, Spanish Speaking. And I will be entering the MTC May 30.

I have a class during your office hours, so I won’t be able to come but anytime time any day before one works for me.