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DescriptionThe third of 6 clips focuses on the four 11th grade students as they map the numbers of pizza choices to the rows of Pascal’s Triangle and attempt to make sense of the addition rule with the...
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DescriptionThis clip is the first of six featuring four grade 11 students, Robert, Stephanie, Shelly, and Amy Lynn, as they construct and justify solutions to the Pizza Problem. This clip focuses on Stephanie...
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DescriptionIn the final clip the students generalize the exponential structure of the Pizza Problem and describe the relationship between two consecutive rows of Pascal’s Triangle with reference both to the...
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Date Created1993
DescriptionThis is the fourth in a series of four clips from this session. The researcher, Carolyn Maher, invites the students to take turns placing a number that they have been thinking of onto the big number...
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Date Created1993
DescriptionThis is the third in a series of four clips from this session. The researcher, Carolyn Maher, asks the students where they would place the number “one” on the number line that Alan had made. The...
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Date Created1993
DescriptionThis is the first in a series of four clips from this session, which begins with the researcher, Carolyn Maher, placing a transparency with Meredith's number line models on the overhead projector. ...
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Date Created1993
DescriptionIn this clip, researcher Amy Martino leads a class discussion that centers on the task: If I call the orange rod one, what number name would I give two whites? Some students suggest the number name...
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Date Created1993
DescriptionDuring this small group activity, the students revisited the task: Which is larger, 1/2 or 1/3, and by how much? Some of the students attempted to solve the task using balance beams, but most reverted...
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Date Created1993
DescriptionThe students work on the task: If the orange rod is called fifty, what number name would I give the white rod? Sarah and Beth offer an answer immediately, and are questioned by researcher Amy Martino...
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Date Created1993
DescriptionThis is the second in a series of four clips from this session. The students discuss Meredith’s placement of fractions on a number line. Erik conjectures that a person would be confused with all...
