Carl's Teaching Blog

A place to talk about teaching and learning

Tag: MTBoS30 (Page 5 of 6)

This Week: Runaway Dogs, Project Launches, And Traffic Spikes

This week I am coming off a weekend where I got VERY LITTLE done on the blogging end.  My school had a planning retreat and spent a lot of time working through the school’s vision and values, and how those should guide our response to the challenges we face.  As we were ready to leave we faced a more immediate and unexpected challenge when a teacher’s jack russell terrier ran into the neighborhoods behind the retreat center and nine of us had to go traversing through this suburb looking for little Bruce.

It was quite an ordeal, and also an exercise in the collective nature of hope.  In the 2-3 hours of searching there was a point in which each person sort of said some form of “We’ve done all we can,” or at least thought it.  However, one other person kept thinking of one more thing we can do. “Maybe we can ask the neighbors?”  “Maybe we can hang up signs?”  “Maybe we can drive down past the forest?”  When one of us had a little hope, we all got a little more hope, and that gave us the energy to throw ourselves into each new task in hopes of finding Bruce.

Eventually we received the text that Bruce was found.  He ran into a giant forest and ended up covered in grass stains and ticks 2 miles away from where our retreat was.  I keep thinking of this story because fixing what needs to be fixed in education seems like an enormous task.  And perhaps thinking of enormous solutions isn’t the answer.  Perhaps what we need are lots of little infusions of hope coming from a community of people all around the world.  The MathTwitterBlogosphere seems to be just this, and I am honored to be a part of it.

What I’m teaching this week:

This week I am going to take my equations and patterns class and start working on the first third of their project.  This Carnival Project was actually 1 piece before, but I am breaking into 3 so that I can give them feedback one piece at a time.  I am going to collect the first game on Wednesday and then help the students by Friday.  In Banking and Investment I need to start the project which means a class about using functions to model the behavior of certain markets.  Hopefully the markets from the “Dunshire Abbey” game will provide the data if we can push through getting the kids to work on it.

What I’m blogging this week:

The Coast2Coast group is off and running and we are going to try and do a bunch of posts together around our teaching context.  I plan to have a post about City-As-School and all of the things we do here.  To really portray my school realistically, I am going to have to write a lot, and probably talk a little with my principal.

I also want to do a lot of reading of the other #MTBoS30 blogs so I can get another Around The Blogosphere up before Memorial day.

What I’m thinking this week:

Right now I’m thinking about this giant spike of traffic I got yesterday when @ddmeyer made this tweet, and @mythagon, @wahedebug, @k8nowak, of other people followed up with other positive comments.

 

I really appreciate all of the positive comments, and I am glad that so many people have found things that they like here.  That said, I’m now noticing all these things that I need to fix, like this sentence from Beware of the Awesome Lesson

I tried to squeeze a whole separate exploration with a big meaty context inside of one the kids were already infested in.

Umm, that was supposed to say  ‘invested’.  So it looks like I have to go read through and double check my posts to make sure they all make sense…

19/33 #MTBoS

Helping My Student Assistants Change Their Thinking About Math

A number of kids this cycle came to my desk begging to have a teaching assistantship to fill their schedules.  Since I have boundary issues, I now have to plan for these kids on top and their learning as they watch the rest of the class learn.  These teaching assistants are not student teachers from a local college. They are high school students, who are not necessarily stronger than any of their peers.  One student said they have a really bad history with math and another had not passed a class in over two years.  With these student assistants I could have pursued very talented math students, but they usually don’t have any trouble filling their schedules, nor would they have as much to gain from the experience.

Why have assistants at all?  Isn’t just more to manage?

Having assistants is certainly a job, and it is not worth doing if you do not have goals for them.  My goals for them is to have them view math from my perspective.  They will help students in class, grade the assignments that I grade, and talk with me about misconceptions students might have before giving feedback.  At the end of this I hope the students take a different view of mathematics.  Perhaps they could go on to take a serious interest in math in college, but I would be happy if they just approach the subject differently.  At the least, I hope the students would view math as something they can work to improve, and mathematical “bad”-ness isn’t a terminal illnees, but can be treated through correcting their misconceptions and developing a productive disposition.

For the rest of this cycle I am excited about getting them to finish the rest of the work for the class.  I want them to have a working version of the project that the rest of the class.  In addition, they could learn a lot from having to think of ways to scaffold the project, or re-word the current project.  Lastly, I will ask them to write about their approach to math, and if it is different than it was when we started. Their reflection will be informed by Approximately Normal’s posts on student teachers, but I’m open to suggestions…

We’ll see if any of the kids want to follow their teacher’s footsteps and teach a lesson their peers, but if they do I hope they will be able to get through it.

 

#19/33* MTBoS  *I took two days off over the weekend, and I missed another one a week ago, so I am going to keep this thing going longer to make up for it (Or maybe I’ll just be one of those once-a-day bloggers).

The Creator And The Executor

I never want to get up in front of the class and be unprepared, but sometimes you won’t ever know you’re unprepared unless you get up in front of class.

Since I first started teaching I’ve always wanted to use a set of games to teach economics principles.  I have a rose-tinted vision of how the game would work, how the kids would immerse themselves in play, and debrief at the end to discuss things like comparative advantage, or the creation of money.  It was scheduled for today and I was making last second tweaks right up until class time.  Once class started the game went by in a blur, most of the time was me trying to make sure the game was written and explained clearly enough for kids to get it.  We ended up spending an entire class period on it, and we didn’t even finish.

Let’s go back to the morning, before the game started.  I had in my head how the game was supposed to work. I had a sequence of steps for the game in my head, and a powerpoint for kids to follow. There was a spreadsheet system for logging data.  I ran and borrowed a bunch of small whiteboards that kids could use to communicate, then added that into the workflow of the game. These tweaks took place all morning, right up until it was time to teach.  I was reminded of my mom getting Thanksgiving dinner together right before the guests arrived.

When it came time to get the students to play it, my brain was trying to create when it should be trying to execute.  I was approaching the game as a work in progress and not a finished piece.  So when one group came up and asked if they could rename one part of the game something else, the creator in me thought “that’s not a problem”, when the executor in me should have said “that’s a good idea, write that on your exit slip and maybe next time.”

When creating things, lessons or games, there needs to be some distance between the act of creating it, and the act of executing it.  Sometimes I can create that distance instantly.  I can stand at the board and create rote problems quickly, (like a three-step equation with  negatives, the distributive property, resulting in an integer) and immediately walk away from the board and not question whether the task is right, or could be done better.  Experience shows me the potential pitfalls, and what success looks like.  With this game, I was trying something outside of my experience and was unsure of the task itself.

It’s unsettling to be in a class where you don’t have a task you’re completely confident about.  You still look for ways to make it better, less complex, and in a lot of ways easier for the kids.  Turning that switch off and becoming the impartial judge of the tasks is an important part of making things work well with kids.  Being able to separate your self and your creative process from the task, being able to walk to the back of the class and say “That is quite a problem up there, what should we do?” is really important for the task’s success.

As kids got started on the game, there were problems.  Some were confused about the computer, others were doodling on their white board, and the name change I allowed confused two groups.   The creator in me at this point was yearning to get back to the drafting table and start making fixes to all these parts of the game.  I could have said “Alright guys, this isn’t working. Get out some paper and copy from the board” and whipped up a bunch of equations to solve.  Instead I had to turn the creator off, and let the executor make sure the game gets finished.  I was able to distance myself from whether or not the task was ideally formed, and spent the rest of the class pushing kids to understand it as it was written.  There was certainly something for the kids to understand in this game, and I focused on making that visible.

#MTBoS30 18/30

Possible Misconceptions: Loan Interest Payments

So I was going to start teaching simple and compound interest in my banking and investment class so I started off with this question for the do now:

If you borrow $100 from someone and they charge you 4% interest, how much will you have to pay them after the five month loan is finished.

Before giving students time to work I asked eight people to weigh in with estimates, or guesses at what they could expect.  Each person in class had time to think and make a choice and gave an answer after considerable thought.  They also were told to estimate, they didn’t use calculators or much pencil/paper calculation.  They came up with quite a variety of answers, but (SPOILER ALERT) none of the answers were $104.  Here are some of the answers that were interesting.

  • $102.50 – Here students seemed to think the 4% means divide by 4, and perhaps they knew the ‘slide the decimal over’ rule. So it seems did 100/4=25.00, and then moved the decimal over.
  • $120 – Here a student was very certain that this was the correct answer. This student assumed that the interest was applied for five months straight, so they used the $4 of inters and multiplied it by 5 to get $20.
  • $145, $140, $160 – It seems that these answers were blind stabs in the dark.  Students probably picked a number that was sufficiently bigger than $100.

All these students were having trouble with guessing what would be an appropriate amount to have to pay back for this loan.  We talked about how easy it would be for them to get duped into paying large amounts of money for the different loans like the student loans and credit card offers they will see in college.  This set a clear context for the day’s lesson, which was talking about credit card APRs.

Numeracy is really important, as I saw in a recent blog post at Algebra’s Friend, there are a number of ways to help students build this skill.  I Plan to have students start focusing on doing that kind of thinking during the Do Now activity at the beginning of each class.  Students will start by working on tasks like the one below and ask them to think through it.

Which is a better deal?

Store A Store B Store A Store B
1 Television15% off of $300 Television250 5 Microwave20% off of 120 Microwave30% of 150
2 Stove
5% off of 500
Stove10% off of 530 6 Table60% off of 400 Table15% off of 200
3 Ipod30% off of 200 Ipod10% off of 180 7 Monitor25% off of 100 Monitor15% off of 320
4 Shake Weight50% off of 30 Shake Weight15% of 20 8 Health Master25% off of 120 Health Master10% off of 90

 

Each day we do it we will work on little tricks with percents.  I have taught a number of tricks before to help students do this (i.e. 50% is just half, 25% is half of half, 10% is just moving the decimal place over, etc.).  While it may be successful, I would like to have students understand the deeper concepts of number sense. (Perhaps I should take “Nix The Tricks” off of my Amazon wish list?)

 

What do you think?  What is the best way to teach percentages and number sense to high school students?

17/30 #MBToS30

#MTBoS30 Roll Call

For my post today I wanted to get an idea of the people who are also doing the #MTBoS30 thing that was started by @sophgermain a few weeks ago. If you are in the middle of the challenge, or if you want to recommend some of the posts from other bloggers, fill out this quick survey (10 questions, plus some optional ones). Once you get done scroll down to scroll through the results of others.

 

 

Results

Scroll to the the right in the window below to see all of the responses.

 

14/30 #MTBoS

Page 5 of 6

Powered by WordPress & Theme by Anders Norén