Japanese Lesson Study Summary
Tuesday, July 8, 2003
Yesterday, Judy, a teacher of teachers from New Zealand, had joined us and was a great resource and inspiration. Today, we were pleased to welcome Lisa Snow, from New Mexico, as an observer and resource. Lisa talked a bit about how lesson study had been used in the schools that she oversees in her district and what a huge impact it has made. From a start of 24 teachers in the program, it has grown to now include 100 teachers. In their district they have groups of three to six teachers, with teachers either working on lessons from scratch or reshaping lessons from their curriculum. She suggested a website for us to use (mathstar.nmsu.edu) and downloaded some forms for us to use as templates.
Jerry made another trip over to Park City High School to talk with Lars and our Geometry students to make sure that they have the schedule for next Thursday. We will be hosting them for lunch from 12:30 to 1:00, teaching the lesson from 1:00 to 2:00, and having them entertained by Jim King and then Leslie Ward for the remaining hour. Their class ends at 3:00 each day. Jerry informed us that they are further ahead than expected in their curriculum and that they will be starting Chapter 11 on Volume right after this lesson.
We discussed whether we wanted our lesson to be an introductory lesson or one that goes all the way to scaling and then dimensionality. Lisa also asked us if we intend to videotape the lesson. If so, we need to get release forms from the students. Gail has said that we would like to videotape the lesson, so we will make arrangements to have the students sign forms. We also need to request volunteers for our practice lesson on Monday. Joyce has agreed to e-mail Lars as an additional contact. We also need to write up observation questions for the observers.
Jennifer started merging our two documents from yesterday so that we can continue working on writing our lesson. Both Celeste and Tony have volunteered to teach the lesson. Here are the notes.
Japanese Lesson Study Lesson
Topic: Scaling, Measurement and Dimensionality - Stair-Step Fractal
_____________This is where we ended on Tuesday______________
VI. Student strategies – how might students so the problem A. Students might use inspection as their strategy. i. The teacher can then push them what do you mean small, medium? Large? Can you quantify that? B. Students might measure side length or area or volume i. If students do not mention all three, after discussing their observations, ask what measurement is missing C. Units - the small one is how many of the medium etc. VII. Teacher responses – anticipate how you will respond to student questions See above A. Discuss w/ students a counter-example (We need to bring a model for this). Area the same (side view) but front view shows that there is more than small medium large. Also show an example from front view but not side-view. What makes our figure unique? Why do we only have S, M and L (1 to 2 from the side and 1 to 4 from the front) - similar figures. VIII. Summing up - use the kids words not a pre-written script. Otherwise they have no reason to do the activity A. What about the case of scaled by 3 (use a model??/)? IX. Evaluation - what evidence will we have that kids understood? Potential HW Questions: Suppose that each dimension of the figure is scaled with a different scale factor, without actually doing extensive computation, can you predict the relationship between the volume of the original figure and the scaled figure? Suppose the figure we see is a set of stairs. How many people can fit on the stairs if ___ fit on the top stair?
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This material is based upon work supported by the National Science Foundation under Grant No. 0314808.