DescriptionIn the fourth of five clips from a single class session, we see two students, Jessica and Andrew, placing unit fractions, ranging from 1/10 to 1/2, on a number line segment with endpoints labelled 0...
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...
DescriptionThis interview with researcher Alston and Milin, with the presence of teacher Mrs. Barnes, occurred on February 7, 1992, the following day of the classroom work with Michael on the five-tall Tower...
DescriptionThis video comes from the Rutgers-Kenilworth Study, and edited for the The Private Universe Project in Mathematics (PUP-Math). It includes narrative voice over and an interview with Researcher, Robert...
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...
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 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...
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...
DescriptionThe purpose of the study was to describe the instructional applications of a philosophically based model of a mathematical inquiry to the teaching of mathematics. The first phase of the study...