DescriptionIn the 2nd of 5 clips, Stephanie and Matt, two fifth grade students are attempting to find all possible towers four cubes tall when selecting from two colors as the sample space for Question 2 of the...
DescriptionIn this final clip, an exuberant Stephanie presents her understanding of the “doubling rule” to the group of students ( Matt, Michelle I, Michelle R, Milin and Robert) who assembled around a...
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...
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...
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...
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...
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...
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...
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. ...
DescriptionResearcher Amy Martino asked the students to assign a number name to the white rod when the orange rod was called ten. After discussing the problem with their partners, the students joined in a whole...