A Couple Thoughts on Teaching Math

Today was a great class. One of the first things that struck me today is when one of my classmates said "students need to understand that being uncomfortable at times is ok" in regards to answering a questions that was posed to them. To add to that statement, teachers need to realize that think time is ok for the students and should be given. When I had to teach a lesson last quarter in my dyad I remember asking questions and not lasting through the minimum seven seconds of wait time to allow for more students to think about the question and raise their hand. However, not until I asked a question and found that not a single student had an answer, not even the typical student who threw their hand up first, that I often went with the first student who raised their hand.  Right then I had the students turn and talk to their neighbor hoping that they would then come up with a response. After the minute or two talking to the people near them many of them raised their hand to answer the question. I really want all of the students to get a chance to engage in the conversation and in order to do that there needs to be a couple of moments of think time that might be uncomfortable for both the teacher and the students. However, the teacher is expected to make the situation as comfortable as possible in whatever way they can.

In class today I witnessed something that I would like to use in my classroom. After one of the table groups was called on to share a point from the reading the instructor did not summarize what one of my classmates said but instead chose another student to sum up the statement. This is something I touched on in my last blog but it was nice to see its application because I learned something about myself. I found that I am guilty of waiting for the teacher to sum up what a student’s says after my years of being exposed to many classes where the teacher does just that. When one of my classmates was called on reiterate what was said I thought to myself, “I don’t think I could really do that”. Experiencing this made me realize that I am not that great at listening.

One of my favorite parts about today’s class, which also made my head hurt a little bit, was being introduced to the positive and negative math manipulatives and the algebra tiles. However, when we were using the different manipulatives to help solve negative and positive equations I found that because that method did not come easily to me that it would be challenging to introduce it to students. That is something that I believe a math teacher needs to know. It clicked for some people in my class but not everyone. In a previous Math for Teachers class I took we learned a couple of different ways to solve equations with negative and positive numbers. Although, after learning about these new ways today I think what I learned before is actually more confusing. Instead of using a number line we would visualize or draw a flat like that would be the marker for zero (it was supposed to represent flat land). If you were going to use negative numbers you would have to dig underground and if you were in the positives you would pile dirt up above ground. For example, if had to do the equation -2+-3 you would dig down 2 and then dig down 3 more to be at -5. However, I think this way of solving equations with negative numbers gets confusing when you have to switch the signs. Realizing that there are so many different ways out there to introduce negative numbers to students makes me realize how important it is to be familiar with many different methods.