Saturday, September 22, 2018

New School Weeks 2 & 3: The More They Talk (Part 1)

Now that I am into weeks 2 and 3 at my new school I am in the grading avoidance mode.  Even first year teachers recognize this mode within a month or so of school.  You look at your bag with the pile of papers in it and think of other things you would rather do.  It's Saturday morning.  I have plenty of time to attack those papers.  Here's an idea. I'm going to blog instead!

          An Old Transcript: Teacher-Centered

Are you a teacher who is afraid to have your students talk?  Does your classroom dynamic go something like this?

Teacher: Who can tell me what is f(6) for this function?

A few hands go up and then a few more. Teacher calls on one of the students who raised a hand.

Student: Twenty-two.

Teacher: Good. What about this question.  What is x if f (x) is 12?

The teacher gives sufficient wait time for a few hands to go up, but notices that they are mostly the same students as before.  Teacher calls on another student.

Student: x is 8/3.

Teacher: That is correct.  Can you explain how you got your answer.

Student: I wrote 3x + 4 = 12.  Then subtracted 4 to get 3x = 8 and then divided by 3.

In my early years of teaching, I would have considered this a successful classroom discussion.  I wasn't telling students the answers.  I was asking questions and students were giving me correct answers.  I look at this transcript now and cringe.  This is my twenty-sixth year of teaching and even now my classroom looks different than it did five years ago.  What does this look like for me in my classroom this year?

          A New Transcript: Student-Centered

Image from

: Let's say that I wanted a function to make the input of 4 become an output of 3.  We could do that by writing f(x) = x - 1.  I want you to work with your partner or trio to come up with a different function that would contain the point (4, 3).  Write your function somewhere on the board.

Students work together and talk in their groups for a minute or so with each group putting a function on the board.  Here are several of the functions that were created.

Teacher: What do you notice about the functions that are written here?

Many students are raising their hands. Teacher calls on one of the students.

Student: Several of the functions are the same.

Teacher: That's true.  Is there anything that all or most of the functions have in common?

Teacher gives time to think and then calls on a student who does not have her hand raised.

Student: They all had something multipled to the x and then either added or subtracted a number.

Teacher: Good observation.  Which ones had addition and which ones had subtraction.

Teacher calls on student with hand raised.

Student: When you multiply by a number bigger than 1, it made the result get larger. So you needed to subtract.  When you multiplied by 1/2, it made the result smaller and that meant that you needed to add a number.

Teacher sees some students nodding in agreement as she restates what the student just said.

Teacher: I would like each group to answer the following questions. (Points to the board.) What is f(6) and what value of x would make f(x) = 8?  Write your answers and work under the function you wrote on the board.

Students work together and show their work.  A few students finish quickly and the teacher asks those students to create a new function that is more complex, maybe involving exponents.  Those students add their function to the board.

Teacher: Talk in your trio or with your partner about the difference between how you answered these two quesions.

Students talk together for a minute or two.

Teacher: Who would like to share what you just discussed?

Teacher acknowledges a student near the windows.

Student: The first question gives us x and we plug it in to get the answer.  The second question gives us the answer and we have to use it to find x.

Teacher: That's true.  Would anyone like to add to what [student's name] just said.

Teacher acknowledges a student near the classroom door.

Student: The first question gives us an input, or x and we find the output, or y.  The second question is asking the opposite.  We are told an output and we find the input.

Teacher: That's a good observation.  I'd like everyone to take a minute to write that observation in their notes.

Teacher observes students writing and waits for almost all the students to be done.

Teacher: Does anyone else have observations to make about what we just did?

Student raises her hand and teacher calls on student.

Student: (Referencing the answers on the board.) Why don't we all have the same answer?

Teacher: That's a good question, [student's name]. Why don't we all have the same answer?  Can anyone clarify this.

A few students raise their hand and teacher calls on one of them.

Student: They all went through the point (4, 3), but that doesn't mean that they will all have the same answer for the other questions.  They are different equations and will go through different points.

Teacher: That's true.  You all created equations of lines, but they aren't the same line for everyone.  They have different slopes and different y-intercepts.  Think back to geoemtry.  If you have a single point, there can me many lines that go through it.

Teacher looks at student who originally asked the question to see if this makes sense to that student.  Student is nodding head in agreement.

          Compare and Contrast: Old vs New  

My blogs don't often invite comments, but for this one I definitely want to invite comments.  I can see the difference between the old transcript and the new transcript; can you?  Write what you notice in the comments below.  I'll be blogging my compare and contrast thoughts about this lesson in a week or so. I attack those papers, clean the bathrooms or mow the lawn?

Monday, September 10, 2018

New School Week 1: The Zumba Observation

Note: Last year I did a #teach180 blog. Since I am at a new school this year, I know that there are times I will be in survival mode.  Instead of blogging daily, I have decided to blog weekly.  The entry below is week 1 of this school year.

This year marks my 26th year of teaching and my first (of hopefully many) year at Kent Place School.  Friday was the fourth day of school and students met in the Great Room to learn about PE requirements and PE exemptions.  Students can do morning PE and one of the options for morning PE is Zumba.  This must be a popular option, because many of the girls screamed in excitement when they were told that they would be doing one of the Zumba dances right then and there.  All three hundred and five girls stood and about a dozen of them went to the front of the room and showed how to do the Zumba routine.  Many girls were moving and waving their hands from where they were standing.  However, I noticed that very few, if any, of the ninth grade students were participating.  In fact, they seemed quite uncomfortable about the whole thing.  This reminded me of how classrooms can be passive for many students.  A few are very excited about learning or sharing what they know and can do.  Some watch from the sidelines and particpate minimally.  Others watch in uncomfortable silence, not wanting to particpate for fear of making a mistake and looking stupid in front of their peers and the teacher.  This is clearly not what I want for the students in my classroom, a primarily passive environment.

Note: Thanks to @aliceaspinall for the image here. This is what I plan to have my classroom look like this year.

But the Zumba PE lesson didn't end there.  The twelve students that were doing Zumba in the middle of the room spread around the room, forming small groups.  They were in the center of each group and pulled other students in to form a circle of studnets about two or three deep around them.  As I looked around the room, I realized that about 90% or more of the students were actively particpating
and having fun!  Were they all getting the moves down perfectly?  Absolutely not.  Where the girls trying, risking, making mistakes, making improvements, helping each other and having a blast?  Most definitely.  This is what I want my classroom to be like.  In order for it to happen, I need to help my students know that taking risks and making mistakes is a part of learning.  I also need to figure out who my "Zumba leaders" are - those students who have a solid understanding of what is going on and use them as experts.  My responsibility at that point would be to work with the 10% that are on the perimeter of particpating.

Sunday, August 19, 2018

Ten Weeks of Summer: Big Changes (Weeks 9 & 10)

As my summer winds down to a close (my first day of in-service is in about 12 hours), I reflect on the fact that the summer was actually quite relaxing despite all of my travels and getting my daughter packed and off to college. (Sic 'em, Bears!)  I decided that it mostly had to do with the fact that I wasn't going into school once or twice a week to deal with hiring of new faculty, parent meetings, administrator meetings or placement test and summer acceleration test scoring.  In fact, I don't think I realized how much work it was to be department chair until I didn't have to do that work over the summer anymore.

So, what have I done for the past two weeks?

1) I learned how to create podcasts using Audacity.  This required a little bit of work on my part, because I also had to install two different plug-ins to get it uploaded and downloaded in the form I needed.  The Global Math Department had been posting their weekly webinars as podcasts for a while, but that was not happening any longer.  A few people mentioned on twitter that they liked listening to the podcasts. So, I learned how to create them with Audacity thanks to the help of Carl Oliver's very clear directions.

2) I worked on reviewing AB Calculus, because I will be teaching it for the first time this year. Since I had not used Khan Academy's courses before, I decided to give them a try. Most of the videos are well done and there are plenty of exercises for students to do.  However, Sal Khan is not always careful with his use of math language.  For example, he'll say "the slope of the point" when he really means "the slope of the tangent line at the point".  Points can't have slopes. Lines have slopes.  If I use this resource with my students this year, I'll need to be a little cautious and preview any videos I would show my students.

3) Today I watched Julie Reulbach's Twitter Math Camp 2018 talk on Teacher Leaders.  If you don't follow Julie on twitter, you should. She tweets @jreulbach. She gave me some thoughts to ponder as I start a new school year at a new school.  At one point in my career, I thought being a leader meant that I needed to become a full time administrator.  I applied to be Upper School Director at Moravian Academy in the spring of 2017 and I wasn't hired for that position.  However, Julie's talk made me realize that I am a teacher leader and that I lead in so many other ways when she said "Teacher leadership is not a ladder to be climbed.  It is what you do to support another teacher." And I support teachers in so many ways: leading AP Statistics workshops, sharing teaching ideas through talks at conferences, leading a book chat on twitter this summer, visiting classrooms of my colleagues and offering feedback, sharing teaching ideas through blogging, orgainizing hosts for the Global Math Department and posting videos to help teachers and students on my YouTube channel. Whew!  That's a long list.  I was recently asked to serve as a teacher mentor for the National Math and Science Initiative, working specifically with teachers in New York City.  I would visit their classroom twice in one school year, specifically giving feedback for teaching AP Statistics. Yet another opportunity to be a teacher leader.

4) Last, but not least, my husband and I did shopping, shopping and more shopping, as we helped our daughter moved into her dorm.  She is over 1500 miles away from home and we only packed 3 suitcases with her belongings.  This meant two trips to Target, two trips to Bed, Bath and Beyond, a trip to the bookstore and a trip to CVS.  Apparently we didn't get everything.  Tonight I ordered more items for her online!  We hope she will keep some of the items from one year to the next!!