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...
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...
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...
DescriptionIn this edited clip, Stephanie answers questions from Researcher Amy Martino about her problem solving on the three-tall selecting from two colors towers problem. Stephanie explains how she used her...
DescriptionThis video presents one view of the second and last session in which seven post-high school students discuss the Fundamental Theorem of Calculus. This session took place approximately one month after...
DescriptionIn this problem solving session two students, Brandon and Colin, are working to solve the pizza problem when selecting from four toppings [problem statement is below]. Brandon and Colin both organize...
DescriptionIn this clip, researcher Alice Alston continues a discussion started in the previous clip in this series. The discussion centers on how many towers can be built three cubes high when selecting from...
DescriptionIn this edited clip, Stephanie and Dana solve the four-tall towers problem selecting from two colors. They produce an answer of sixteen. The next excerpt shows Stephanie and Dana making a claim of...