# Fuel Sense Making & Black Box Defrost

### Sparking Curiosity:

I put this video on infinite loop while the students filed into the class. I let it play and said “here is your warm up today”

I said nothing else. I was letting the curiosity build. After it looped and looped students started to work. Without saying a word about it students were trying to find how long it will take to defrost an item that weighed 3.5 pounds.

### Igniting MY Moves:

Since I routinely let students struggle to solve problems instead of showing them immediately a “how to”, I have to be ready to give feedback on what they try on the fly. I want to help push them in not only a direction that solves the problem but prepares them to see solutions that are not their own and solutions that attempt to address our learning goal for that day. That takes careful planning which is not an easy thing.
Plan with Precision so you can proceed with great flexibility” – Tom Schimmer.
When I first started teaching so much of my planning was solely focused on answering questions like, What topic? What examples?, and How long do I spend on it? Now my planning time is mostly spent trying to answer: How will the students solve this problem? How can I use what they will do to shape the lesson? What do their attempted solutions tell me about what they have learned so far? So my planning process has gone from examples like this where I was so concerned with WHAT….
to spending most of my time thinking about HOW. HOW will the students respond to the task? What does that look like? That takes a ton of anticipation. Anticipating their solutions and strategies puts me in a better position to understand their thinking and help shape that thinking. For each possible attempt I need to be ready to provide feedback to help them achieve our goals.
For the Defrost Black Box problem from above the learning goal I am hoping to pull out is “Relations can be represented in various ways” and “Problems can be solved in a variety of ways” I anticipated that some of my students would attempt to solve it with a unit rate.
Possibly some of my students may solve it with a table of values and linear relation.
Some may set up a proportion.

The book 5 Practices for Orchestrating Productive Mathematics Discussions has been an invaluable guide to help me re-design my planning time.

### Fuel Sense Making

Since my goal is for students to see “Relations can be represented in various ways” and “Problems can be solved in a variety of ways”
I need to be ready to fuel their sense making by linking the different student strategies together.
Here are some of what the students tried.

I did not anticipate students using seconds.

I also did not anticipate students using additive thinking with the unit rate.

We learn so much from our students by allowing them to show their thinking. Imagine all the missed conversations with my students from 2005 – 2013. Imagine how many of my students felt like they were failures because their brains didn’t tell them to solve those problems the same way the I did. When in reality they had so many good insights that just needed to be tailored.
Selected students presented their strategies to the class. Now it was time to show how their strategies connect together.
We showed how the unit rates that many of them found and used showed up the table solution.
We moved from there to show how this would be represented on our number lines.
Yes the planning that comes from Igniting My Moves and Fuel Sense Making takes time and it is not easy. But I can tell you that it is worth it.
On a side note: Help me settle a problem. A teacher said, “Students might find a real microwave more engaging than the fake one you have shown.”
Is version 2 of the Black Box Defrost more engaging or worth doing more because it is real? What are your thoughts?
Version 2: The More Real version

# Conall’s Assessment Story

As part of a presentation on assessment in math class I put together a short video explaining some key elements for assessment in my classes. When I was thinking about creating this video a certain young man in my class kept standing out in my mind. This video is really his assessment story. I wanted to share this video here in addition to the presentation. You can watch the video or read the transcript below.

Seeing this post through email and can’t see the video? Click here to go to the post page.

Transcript

Hey everybody! My name is Jon Orr, I’m a high school math teacher at John McGregor secondary school in Chatham Ontario. I want to share a short story with you about assessment in math class.

I’m sure you remember how your math classes were structured… Lessons….homework …. repeat…then tests. And your mark was created by all those test results. I ran my math class like this for about 8 years.

What sparked a change for me was when I read these simple words that are written all over the Ontario curriculum document.”By then end of the course the student will…”

End of the course??? Really? I have until the end of the course to assess our learning goals? But I had been evaluating by the end of the unit or by Sept. 23 the test date! And like every math teacher that evaluation of those skills were stuck to a student for the rest of the year regardless how they improved upon those skills. I wanted my students to learn our course content not just by Sept. 23 but just learn them! I wanted to promote growth.

I needed my assessment and evaluation policies to reflect that! I want to share them with you and to do that I want you to meet Conall!

Conall is in my grade 10 applied math class. Conall also has autism. He functions very well in my active math class. One day Each week along with his classmates Conall logs onto his Freshgrade account and waiting for him there is a list of our current learning goals. Each learning goal shows not only his current progress, but his past achievement on that skill. Conall scans through the learning goals, and chooses one that he wishes to improve upon. Here is where Freshgrade is great, it captures and holds all of his work which provides me great insight into his learning. As Conall works to improve his learning goals he uploads pictures of his work through the app. I get to see that work and provide audio or written feedback also through the web/app or in person. What I love is that I get to see all that interaction for each learning goal (expectation) forever. I can see the growth that Conall is making. I love being able to see Conall’s thinking progress as he attempt problems. It makes me as a teacher more confident about his ability on the course expectations.

For example, Conall uploaded a picture of his work on solving a proportion.

He was confused on the nature of proportional relationships. After a comment and talking with him he made corrections and re-uploaded. That progression of learning stays in their portfolio for us both to see! His next step is to attempt a new problem to show consistency. And then he moves on to a different learning goal! We do this each week … ALL YEAR LONG!

Time is no longer a factor. Conall doesn’t have to compete with the rest of the class on his learning. He doesn’t get penalized because he couldn’t master the concepts by a specified date. This assessment structure gives more power to Conall while at the same time makes him take more ownership in his own learning. He has choice!He has to assess himself on each goal to know where to improve next.

But that routine isn’t just for conall….its for the entire class. Everyone uses their portfolio to push themselves and show their learning.

“Assessment is power not punishment” * in my class and that helped Conall and many of my students be successful this year.

Thank you

* Quote adapted from “Math is power not punishment” – Dan Meyer

# Polygon Pile Up

When it comes to angles involving parallel lines, triangles, and other polygons I’ve always assumed my grade 9 applied students “get this”. I’ve felt that angles were an easy topic. I guess I thought this because most students seem pretty happy when solving angle problems and for the most part being doing pretty well on assessments. However, this year I noticed two inadequacies that I am trying to address.

1. Most of my students didn’t actually know what an angle measurement of 65 degrees really means.
2. They have a hard time determining what information is needed when solving multi-step angle problems. Lack of a good strategy.

When having students determine angles in triangles almost all of them knew that all three angles should add to 180 degrees. The trouble came when I saw some answers like this (from more than one student).

What bothered me was the location of the 40. I wondered why outside the triangle? I pressed this student for more info. I asked him to draw me any right triangle and label the three angles.

Hmmm…I asked him to point to one of the angles. He pointed to where he labeled the 85. What I found is that this student was mixing up length measurements with rotational measurements and he was not alone.

I found a great activity to hit this head on. Laser Challenge from Desmos worked wonders to get my students to understand and experience rotational measurements. Students have to enter values to rotate the laser and mirror to hit targets.

My students “felt” what 60 degrees is. Experiencing that rotation made all the difference to clear up what we were actually measuring. When second semester rolled around and my new crop of kids came in we started with this activity right away.

Most of our students struggle with solving complex problems where they have to think of a strategy. Before I gave them something like this,

I wanted to them to experience what information would be useful to know first. I decided to turn the problem around and inside out.

I gave them this.

I wanted them to think backwards….just like we need to do sometimes when solving longer problems. On the “easy” side most filled in 3 angles in the quadrilateral. What was great was that prepared them to think what we could leave out for the harder one. This simpler diagram challenged my class to think, plan, and strategize!

It was great to do this before we introduced this puzzle Jim Roesch, Kristyn Wilson, and myself created:

[There is a video embedded here — Can’t see it? Click through to the post page]

Here is the puzzle

And to really challenge yourself or your students here is a blank one. Can you fill it in so it’s “hard” to determine that indicated angle? What is the least amount of info you can give to bring out the most amount of thinking? Share them out!

# Being Picky – Ignite Session OAME 2017

Giving an Ignite talk can be a rewarding but also super terrifying experience. For me it was both. Session participants create exactly 20 slides which will auto-advance every 15 seconds giving a total time of 5 minutes. This year, for the second time OAME invited me to participate in their Ignite session at the 2017 conference in Kingston, ON (my home town).

I wanted to share with you my talk:  Being Picky: How we choose lessons and tools for our classroom.

You can read the transcript with slides below.

I was inspired for this talk by fellow teacher Andrew Stadel and it begins with coffee makers. Here is the super deluxe coffee maker that I was looking to buy for a long while! It has all the bells and whistles, timer, auto shut off, and even a grinder.
and then this baby slides in which is arguably the easiest coffee maker to use in the world, it has only three buttons. I had to make a decision. I wonder? Which would you choose? Why? The why is most important part of the conversation it’s what dictates your choice. That’s because we humans are picky. We’ve got lots of reasons to like what we like. We create a set of criteria based on our wants, needs, beliefs, values. I could swap out coffee makers here for
tv shows or computer choices or hair styles and you’d have lots of opinions, conversations, disagreements, maybe even regrets. How many of you had those haircuts……come on….don’t be shy! I knew you did!

We could also swap those out for our lessons and activities. It’s important that we think about what we want in our lessons to create good student learning opportunities. We need to think critically how lessons we get from others fit into our core beliefs of good learning. For me, I have four criteria I use to evaluate all of my lessons
I want ALL my students to show me their thinking and understanding in interesting ways. I want them to show me what they think first instead of just telling them what to think! I want to open up the questioning that goes on in my room. So I look and create lessons that allow for this.
I want my students to discuss, collaborate, argue, defend, and justify with each other. I believe this helps clarify their learning and understanding so I must make sure that discussion and collaboration happen in my best lessons.
I am always assessing! I’m constantly looking to see who gets what we are doing and who needs help. I need to be able to assess quickly the abilities in my room so I can use that on the fly to decide where to go next. Assessing easily must be apart of my lessons.
Every lesson or activity must have a ratio between the cost of set up and the payoff where the payoff heavily out weighs the set up. Nothing is worse than spending a huge chunk of time, making, cutting, designing and then when you run it the learning outcome wasn’t worth it. The payoff must out weigh the set up.
These are things I value in my lessons so naturally I must select lessons and tools that allow me to meet this criteria! One tool that I use regularly and meets all of these criteria is

A whiteboard. Students can easily show off their learning. They are quicker to get to writing on a whiteboard than on paper. Especially when the boards on the wall. Students get to defend, argue, justify their thinking with each other. I can easily see if students are understanding and the set up ratio is a no brainer. Here’s a whiteboard, marker….Go!
As technology advances it becomes a bit more difficult to choose what we want to use. There are literally thousands of apps, websites programs that are in ED tech and globally it’s an \$150 billion dollar industry!! And I know that all of those companies out there didn’t create their software with my criteria in mind. I only want tools that fit my criteria!! So I throw away programs/apps/websites/tools that don’t meet it and keep the ones that do meet it. I want to share two tech tools that meet my criteria and one that doesn’t. First up…

The activities on teacher.desmos.com are amazing and meet my first two check points. Through carefully set up prompts my students can easily show me their thinking in a variety of ways. Their new conversation tools make it easier for us to consolidate and class discussions have never been more interesting.

It also meets my second two criteria. I can see in live time what the students are working on. It gives me the feedback I need to decide to go further. The set up can’t be easier. There are hundreds of pre-made activities ready to just click and run. Just grab a device.

Freshgrade is online portfolio tool that meets my criteria. Showing thinking through pictures is the beauty! Discussions can occur easily and assessment is a snap…which drives where we go next.

Kahoot has been pretty popular lately. Students answer multiple choice questions in a game like format competing against the rest of the class. However, It doesn’t allow my students to show their learning in interesting ways…..just a right/wrong selection. We can have discussion about the ideas but the questions are timed putting a rush on my students thinking and I don’t think that helps good learning.

Assessment is tied in but I see class scores not individual achievement. But hey, its super easy to set up!!! Since it doesn’t meet most of my criteria I decide not to spend time creating on it.

These are my four criteria for lessons and tool selection. If a tool doesn’t meet the criteria then I don’t use it. Our time is valuable. I don’t want to spend time on learning something if it doesn’t fit into they way I think good learning happens.

Going forward you have homework. You need to decide: What kind of lessons do you want in your room? And then create the criteria that will help you evaluate the lessons, activities, tools you get from co-workers, friends, online, or at conferences like this. Be picky! We trust you!

End of transcript

I’d like to thank Andrew Stadel for this post on his Tech Tool Criteria and also Kyle Pearce for feedback and  suggestions and listening to me rehearse!

What are your criteria for activities and tools? Feel free to share them with me through email, twitter, or here in the comments.