DescriptionAmy Martino introduced division of fractions by asking students to describe how many white rods equal an orange and red train. She then asked the students to name the white rod if the orange and red...
DescriptionIn this short clip, James explains to Robert B. Davis his solution to the problem: Which is larger, one fourth or one ninth, and by how much? After some questioning, he explains that the train (i.e.,...
DescriptionIn the fifth clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion. Referring to 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...
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...
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...
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. ...
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...