Tuesday, April 26, 2016

Reflection


Friday started rough when I got to school and realized I did not have my laptop bag with my laptop and my ipad. This was not great because I use the apple TV projector to record notes during the lesson. Of all the days to say "I'm going to start my reflection project" of course something like this would happen! But the class must go on…

Period one – AP Calculus
They did a flash card test today. I had given them a list of typical directions on the AP test and they had made flash cards of each set of directions, with the directions on one side and how to solve on the other. Today I randomly picked 19 of the flash cards and they had to tell me how to solve the problem.
Reflection: This was great because they had kept saying the wording of the ap test was throwing them off. It was good to take a break from the actual math and focus on the wording for a day. If they don’t know what the question is asking then they can’t hope to show the math. My students definitely know how to do the various calculus concepts but are not confident when it comes to the wording. After this test one student said “We are going to pass now”. I liked this test but I think I also need to incorporate other opportunities of checking the wording earlier in the year as well.

Period two – Precalculus
One of my students had an extra ipad for me to use for notes. SAVED
We went over homework and then talked about polar graphs. The goal is for them to make observations about the graphs rather than actually do the graphing. Then I had them use Desmos to complete a matching activity that I borrowed from Michael Fenton last year (reasonandwonder.com). THANK YOU. Their homework was a worksheet walking them through more observations of polar graphing.
Reflection: After going over homework I realized I need to do a better job of teaching inverse trig functions, especially tangent. This unit is not specifically on inverse trig but rather expects them to already know it, which they do but obviously not well enough. The matching activity was awesome. It had them match up a description, picture of a graph, the equation of the graph in polar form and the equation of the graph in rectangular form. Some many opportunities for “ah-ha” moments. I think next time I do it I’ll include somewhere for them to record their observations and conclusions more formally than today. While I like the connections that were made I think I should also try to include some real life connections next time. Thanks CSTPs!

Period three – Algebra 2
We had a warm-up and then two examples problems.
Reflection: The warm-up was awesome! I had them fill in missing numbers of a completed problem where the final answer was already given. I’ve done more and more problems like this over the year. I was inspired to do problems like this from Open Middle (openmiddle.com) which stemmed from a talk Dan Meyer gave in 2013 “Making math class more like video games”. They really have to have a thorough knowledge of how to do the problem in order to fill in the boxes with the appropriate numbers to make it work out to the already fixed answer. I love that it might start with trial and error that leads to making deeper connections and overall better number sense. Even if the student never gets it and they only do trial and error, they still end up practicing the concept behind the problem multiple times. This eliminates the need for a worksheet with multiple problems
and gives a greater sense of purpose beyond get to the end of the worksheet.
The two example problems I gave were good but I realized I should have started the first problem a bit differently. I adjusted for period 5 and it went great.











Period 5 – algebra 2
Same as period 3

Period 6 – AP Calculus

Same as period one

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