DescriptionIn clip three of five, Milin, a fifth grade student, shares his inductive argument for building towers up to 3 cubes tall with researcher Carolyn Maher and his partner, Michelle I. Michelle in turn...
DescriptionIn clip 4 of 5, fifth grade student Matt shares his understanding of Milin’s inductive argument with Robert and Michelle R. who, up to this point, found twelve, four-tall towers. Stephanie...
DescriptionIn the first of five clips, four twelfth grade students develop their initial strategies for approaching the Taxicab Problem. They determine the shortest distances to the three given points: A, B and...
DescriptionIn the fifth of five clips, Romina, Brian and Michael, describe patterns and relationships identified in their solution to the Taxicab problem to Arthur Powell, a second researcher. The students...
DescriptionIn the second of five clips, the four twelfth grade students employ various strategies to determine the number of shortest paths to the remaining two points, B and C, on the problem grid. Various...
DescriptionThis is the first of seven clips from the night session. In it, Jeff, Michael, and Romina discuss the coefficients of the binomial expansion, specifically (a+b) to the 10th power. In attempting to...
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 the first of five clips, Milin and Michelle I, two fifth grade students are attempting to find all possible towers three cubes tall when selecting from two colors as the sample space for Question 1...
DescriptionIn this clip, researcher Amy Martino introduces the following problem to the students: “How many different towers four blocks tall can you build when selecting from two colors?” Dana and Stephanie...
DescriptionIn the last of three clips in a first grade classroom, Jeff, Milin and Jamie begin by reading problem 4. Jeff, without referring to the stones or cubes, immediately states that Grandpa would have six...