For our next Making Thinking Visible chat, we were asked to read Chapter 3 and implement the first routine presented – See Think Wonder (STW) pg 55. I realized late Wednesday evening students were scheduled off for a staff PD day on Friday. I scrambled wondering how I could incorporate this strategy in a meaningful way. We had worked with parallel lines / transversals and the angle relationships created. My goal was for students to look for ways to prove lines parallel. How could I use STW to get this accomplished?

When I searched for images of parallel lines in architecture, I ran across a picture of a building in Australia and a picture of the Illusion as well. You can find more here Cafe Wall Illusion.

My plan was to use the optical illusion – the placement of the black and white blocks causes one to think the lines are getting closer / farther apart. However, as I flipped through my book, I saw the routine of Zoom In and wondered if I could combine the 2 somehow. And here is what I did:

Zoom In – Ask Students what they see, pretty standard – black rectangle. So many ideas (some silly) of what this could actually be part of…

Slide 2 was a little more interesting, alternating black / white rectangles with several things they thought it could be a part of – keyboard, referee’s shirt, prisoner uniform, zebra…

Slide 3 eliminated some of their predictions…I did have a person actually state a building. Hmm. I think they must have seen it before.

When I revealed the final picture – it was fun listening to their comments. One was very perplexed “Why would anyone want their building to look that way?” It is found in Melbourne, Australia.

After a few moments of sharing / discussion – students were comfortable. As I shared with students that we were going to do a thinking routine called See Think Wonder – I tried to explain each step. This is the slide I shared with students:

I went through each step, allowing time for students to record what they saw, what they thought and anything they wonder (a question they could investigate/answer). We then shared our responses. After the first 2 statements, I paused and revisited what we were to do for each step. We agreed the statements would actually go to “Think.” Here were responses:

After sharing, students were given a copy of the Cafe Wall Illusion – but not allowed to use rulers/protractors to measure anything. You can see from the snapshots, several chose to use patty paper.

Student A traced the lines to show they were actually straight, then translated the copied lines over the originals to show they were parallel.

Student B traced the edges of the rectangles, then translated to different levels to show the lines were equidistant at all parts, thus parallel.

Student C over-layed tape, traced edges at 2 different levels, then peeled the tape and matched them up…

One student used the pink line on the notebook paper and overlaid it to show the lines were actually straight and several traced the rectangles onto patty paper and translated to others to show congruence.

It felt a bit contrived – I’m not sure what level of thinking was achieved, but I will use See Think Wonder again. It was a good start to model the 3 steps of the routine. Following the activity, students could be asked – if I only had 2 lines – how could I prove they are parallel?

In discussion some responses:

- to extend the lines to see if they ever intersect (student knows the definition);
- measure the distant between the lines at different points (again, student understands they are equidistant;
- draw a line perpendicular to one line, extend it, if its perpendicular to the other line, then the 2 lines are parallel (yep a student came up with that one)
- and finally, cut both lines with a transversal, measure/compare the angles to see if the relationships exist (the understand converses/working backwards to prove).

What I appreciated about STW – I didn’t tell students what question to answer or even how to answer it. They created their own question and chose a way to answer it. The only problem with this – they may not wonder/choose “the question” I’m wanted them to investigate/answer. In the end, if you can get students to make a connection with the content, give them opportunities to notice/wonder, allow them to come up with their own questions – they’ll be interested in finding the answer…

Hi Pam. I also like that they had to come up with their own strategies for verifying whether they were in fact rectangles. It seems like authentic problem solving to me, and showing kids that there are a number of different valid pathways.

I did not realize the plan for the week was to put

“see think wonder” into action before we chat, but that is a great idea, and it makes perfect sense, I will have to think of something now!

Thanks for blogging about it – so we can see the detail.

I don’t think we actually decided to put it into action – but I was struggling to see what it would look like in math class and wanted to try something and have time to think over/reflect before our chat.

I am so out of the loop. Have you started another book discussion? If so, what are the details?

Its one Liz Durkin organized – Making Thinking Visible Ritchhart Church Morrison. Monday’s 7:00 CT – Just started – only discussion chapter 3 this week. CH 4-8 presents “Thinking Routines” I need to start back sharing 75facts experiences – school/life just got to be overwhelming – trying to get back in a groove blogging.