DescriptionIn the fourth of six clips, the four students develop the structural isomorphism between adding an additional pizza topping choice and the addition rule for successive rows of Pascal’s Triangle and...
DescriptionIn this task-based interview Brandon, a 10-year-old 4th grade boy, shares his ideas with the researcher, Amy Martino, about two problems that he had solved in earlier class sessions. In the first...
Descriptionn the ninth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is asked by researchers Carolyn Maher and Robert Speiser to describe mathematically how she has...
DescriptionIn the eighth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is asked by researchers Carolyn Maher and Robert Speiser to revisit her set of six Unifix cube towers...
DescriptionIn the final clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is challenged by researchers Carolyn Maher and Robert Speiser to extend her ideas about how to build...
DescriptionIn the tenth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie works with researchers Carolyn Maher and Robert Speiser to synthesize her ideas about how to build the...
DescriptionIn this edited video, the first of a set of two clips developed for the Private Universe Project in Mathematics, 12 fifth grade students during two consecutive classroom sessions work in two groups,...
DescriptionThis second clip in a set of two edited videos developed for the Private Universe Project in Mathematics, focuses on 12 fifth grade students during an extended session work individually and with their...
DescriptionIn this edited and narrated episode from the Private Universe Project in Mathematics, five tenth-grade students consider two different problems. FIRST PROBLEM STATEMENT: “Choosing from two colors...
DescriptionIn this task-based interview Brandon, a 10-year-old 4th grade boy, shares his ideas with the researcher, Amy Martino, about two problems that he had solved in earlier class sessions. In the first...