Tuesday, May 3, 2016

These are a few of my favorite things


1.     Open Middle – Basically I’m obsessed. Between depth of knowledge and unlimited possibilities both in answers and strategies, I can’t stop talking about these problems. Allowing for students to learn from their mistakes and to be encouraged and inspired to keep going in ways that no worksheet will ever accomplish is what Open Middle does best. Even though each problem focuses on a standard there is space to talk about number sense and the Mathematical Practices. The more I use Open Middle the better teacher I become and the better my students learn about math and themselves.
GO NOW: openmiddle.com

2.     Desmos – While they are not the only calculator I use (Shout out to the TI-84) I love the opportunities for ease of use and exploration. The activities allow for students to step out of the classroom without falling into the pitfall of the dreaded word problems. It is so obvious that this tool has fostering learning for teachers and students as its first priority. As much as I love Desmos I know I have only come into contact with the tip of the ice berg. Looking forward to much more fun!
      GO NOW: desmos.com

3.     IMP POW’s – These somewhat forgotten beauties always sneak up on my students. They are usually enough off the beaten trail to not feel like “math”. I use them most in my precalculus students who are used to getting everything on the first try or getting it done fast. When they can’t find the answer in the first five minutes they declare the problem impossible. Then awhile later when they do accomplish the problem the sweet victory has them shout for joy! Some problems need more time and effort to solve and usually that means they are the ones worth solving.

4.     Silence – Silence is Golden. Either from my students, as they are thinking, reflection, or working hard. Or from me, as I refuse to give them the answer right away and make them think about it. One of my favorite things to do is delay an answer and then when I come back to hear “Nevermind, I answered my own question”.

5.     Collaboration – This is usually the opposite of silence. They are working together, talking and planning on how to solve the problem. It usually means helping and reteaching are happening between peers. The best is when it happens naturally. It creates energy and productivity in the room.

6.     Exit Quizzes – Do you really know? Exit Quizzes holds the student to accountable to the material. But it also creates space for a private conversation. For the student who is too shy or the classroom that is too big, I can check in one-on-one with each student to either help them understand better or give them the thumbs up that they’ve got it!


7.     Questions – My questions or their questions this is where the magic happens. I did an activity this year where the students created questions they thought could be answered mathematically concerning the concepts we were working on. With the freedom of not having to answer any of the questions their imaginations soared and they made more “real world” connections then I could’ve ever exposed them too. Then they picked their favorite and answered it.

8.     Laughter – Today in class we played a game that had the whole class laughing. The AP test is coming up and my students desperately needed some balance to the stress in their life.

9.     Reflection – I’ve been doing this more lately. Usually in connection to an open middle or desmos activity.

10.  Trying again and again and again – I try new things, the students try new things. There is no harm in trying. I want to always encourage my students to keep trying. I’ve enjoyed the productive struggle conversations on twitter that were started by Robert Kaplinksy. I know this is something I need to spend more time on so that it because a positive part of my overall classroom culture.



Thank you #MTBos for changing my life, I appreciate all of you!

Wednesday, April 27, 2016

Refection #2

 AP Calculus Test Prep

Test prep went better this year. The best was when one week focused on multiple choice, then one week on free response, and then one week on a whole test. Things I would like to do more next year would be more flash card quizzes and more independent work time. The last unit test they had was all actual test questions that reflected that unit and I think I will do that for more units. It got them used to the wording and the expectation. Then when we started test prep they felt like some of the problems were familiar.


Precalculus and Algebra 2


They are testing today. During my first teaching job I was at a school that practice proficiency grading. Now even though I do not specifically use proficiency grading I still hold to the philosophy and grade for mastery and knowledge, rather than habit. With that in mind I tried some different approaches on the test for Algebra 2. I had the students work the concepts in multiple ways not just multiple problems. This will require them to show full understanding of the concept rather then memorizing steps to solve a particular problem. I think it is important to show mastery through multiple methods rather than just making the problem harder or more complicated or with decimals.

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