I’ve decided to have two posts per day at least for today, one for the school and one for everything else. I taught a lesson over three days of about 75 minutes per day at Horace Mann Elementary School in Indiana, PA. I had the absolute best teacher to work with for this project, Katie Bungo, who has been a colleague for many years. She began as a participant in our graduate classes designed for teachers many years ago. The spring after the summer workshops, the teachers give presentations of how they had actually implemented the ideas for hands-on, conceptually-based math instruction. She had done with her students every idea we had, she had improved them, and she had come up with several wonderful new ideas. We hired her the next year and many years since to be an co-instructor in our classes. She had gone through a lesson study experience about this exact lesson so I almost got her to do the lesson while I could sit in the back and watch. Fortunately, I decided to do it myself since I would be doing it in Cyprus and later, in South Korea.
I think I can explain the lesson in terms that are understandable to someone who may just barely care. The children’s literature piece is called “Spaghetti and Meatballs for All” by Marilyn Burns. A couple decides to have a dinner party for 32. They rent 8 tables so that four people can sit at each table. As people come early to the party, they push tables together so that people can talk while waiting. For example, they push two tables together and now six people can sit at those two tables. I get the fifth graders to put two square tiles together and count that six people can sit there. The story continues with new configurations. (If you’re still following, you might want to draw the next part out) I let the students come up with their own configurations before showing them what the book did. For example, one way to get 20 people is to have a row of four tables that would hold 10 and then another row of 4 tables (tiles).
As the story and the children’s models change, I introduce the terms “area” for the number of tiles and “perimeter” as equal to the number of people. The main goal is for children to understand these two key concepts in a gut way. I also have the goals of having them see how perimeter and area relate to each other and of course, problem solving, where they hopefully become more flexible thinkers and use their imagination in math. The great Dr. Stephen Brown’s influence is also felt by me having students pose problems. I spent quite a bit of time one day having them follow up on their question of what happens when tables overlap by 1/2 unit.
It went really well with the Cyprus students the first day. Katie had her students write pen pal letters to the Cyprus students, which included pictures. They were wonderful letters and I’m hoping students on both ends get a bit of a similar multicultural experience from what I got in Africa (see Day 4). I gave the pen pal letters out first thing since the teachers had mentioned it to them and it was an excellent ice breaker. They were very excited and definitely interested in replying.
I’m forgot to check whether it’s OK to post video clips or photos of the kids. I’ll check with the headmaster. For now, I’m attaching some photos that don’t include faces. I’m not sure at this point whether I’ll be able to give my question at the end that I gave students in Horace Mann. It was a tough question and originally designed for teachers.
The students seemed very bright and excited. They caught on very quickly and didn’t seem to have many counting problems, there were some. I taught for 4 periods of 40 minutes, 2 periods for each class. They go to school from 8-1:30 and have recess twice each day for 20 minutes each session. They had a recess area that was partly outside on the second floor for the upper grades. The students were of quite a mix of ethnicities. One student asked if I had ever been to Georgia and I said I had. I was about to ask if she had been to Atlanta when I realized she meant the Georgia Republic from the former Soviet Union. There are many Eastern Europeans, Greek, and of course Cypriots. The teachers seemed to have all lived at some point in England or possibly the US or Australia. I think it’s a requirement, but they’re mostly Cypriot, although at least one is from Virginia and one from Australia.
Here’s some student work from the first day.
Second Floor Playground







