Materials
Our focus in classrooms over the past 4 years has been on students' learning and reasoning. We presently work with 69 students in fourth grade at East Somerville Community School--most of whom we have been working with since second grade.
We meet with our classes each semester once a week over 8 weeks. Our mathematics lessons, 90 minutes each, cover a wide range of topics. They have evolved through discussions with the regular classroom teachers (we make sure that our topics are closely related to the curriculum topics classes are dealing with) and through what we have learned from closely observing and listening to our students. You may wish to look at some of our Class Materials; but please consider them "ideas for classroom discussions" rather than off-the-shelf, ready to go materials.
Generally there are 5 adults in our classrooms: the researcher-teacher, the students' regular teacher, 2 cameras, and one note taker. The class is coordinated by the researcher-teacher. Roughly, classes follow a "Japanese" style of interaction, opening with a simple problem or demonstration and initial discussion, followed by group work and then a comparison of the diverse strategies used in solving the problems. A large part of the time is dedicated to having students' explain their thinking and their representations.
During small group and individual work, the camera persons try to document how the students are representing and thinking about the problem. They will often interview students. (Don't worry, our students are accustomed to working under such circumstances, and they often are eager to explain their reasoning.)
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