Tuesday, October 1, 2013

I would say a "typical text" in mathematics would be a textbook. Something that says do it this way and don't do it that way. You need to know this in order to pass such and such a test or to go to college. Of course the textbook also tells you that math is applicable in the world, but rarely do secondary schools teach kids about the beauty and art that I have come to see in, yes really, mathematics.
The first experience I had in thinking math was wonderful was a Snow College. We did use a textbook, but it was a different kind of textbook that was written with the intent of engaging art-brained students. Thus, it went about teaching in a way that was new to me. Instead of practicing arithmetic we dove deep into riddles, nature, and probability. It was in this class that I began to see math as more of an interest rather than a "have-to". Once we read about the game show were the car is behind one of three doors and donkeys are behind the other two. When our group struggled to understand how the game really worked, our teacher would give us a hint on how to look at the problem so we could proceed.
In 11th grade, we were mostly left to fend for ourselves in learning Calculus. The teacher was there and she tried to teach. I must not have been ready for calculus. I remember sitting with a group and straining to understand the passages in the textbook. When someone would finally get an inkling of what was expected, they would let the rest of us in on it and we would attempt the homework. It was not fun, it was mostly just stress. 
I want to choose texts that are interesting for students. I do realize thought that I will have to front-load and fill the room with oxygen (prepare the students to enjoy the reading) before students read. It will also be vital to provide scaffolding for students during reading and some kind of solidification afterwards. 

3 comments:

  1. Joli,

    I love this post. I also love the basics of Math. Calculus is not for me because it delves into too much theory and is too hard for me to wrap my head around. That is why I have loved basic math; it is so useful. I'm glad you can see the right book makes all the difference. I would argue that the right teacher does that as well!! Math can be fun and it can make practical sense its all in how you approach it.

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  2. That's neat that you had a teacher who inspired your passion for mathematics. I think that, more and more, high-interest websites, games, and apps are incorporating math concepts, too. I went to the annual convention of the National Council of Teachers of Mathematics one year, and they had a lot of computer games, in which students were avatars that went to different levels, but they had to use math to do so.

    Your posting reminded me of a text set of a previous math major whom I taught (Jason Viator). Here are two "high-interest texts" in math that he used to teach probability, which had the whole class really engaged:

    http://www.grand-illusions.com/simulator/montysim.htm -This web site will take you to a game known as the Monty Hall Game. This game used to be a game show called let’s make a deal. In this game contestants would be given a choice to select one door out of 3. After they have chosen their door the host shows the contestant what is behind one of the two remaining doors. At that point the contestant gets to choose if they keep their first choice or if they will change to the other unopened door. This game lets you play as many times as you want while it keeps track of your wins and losses.

    http://www.math.ucsd.edu/~crypto/Monty/Montytitle.html - Let’s make a deal! This site has the game much like item 12 on this list however it also has more information. This web site lets you explore different scenarios with this game show such as if the host does not know where the winning door is. It also explores the math behind this game and helps you solve the question, “Does knowing what behind a door change your odds or does this knowledge not matter at all?”

    Thanks for your posting!

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  3. Hey Joli :) I remember talking to you at the beginning of the semester about our differences in subjects and how we both kind of dislike the other's. I had the same experiences in Calculus and I'm pretty sure it was because I wasn't ready and the teacher left us to fend for ourselves. But I think some scaffolding and front loading would have really helped. I really think you'll be a great math teacher and will inspire students' passion. Thanks for your post.

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