DescriptionIn the 2nd of 5 clips, Stephanie and Matt, two fifth grade students are attempting to find all possible towers four cubes tall when selecting from two colors as the sample space for Question 2 of the...
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 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 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 this clip, Stephanie and Dana continue to work on the Towers Problem, introduced in the first clip in this series. Stephanie tells another group of children to double-check their towers for...
DescriptionIn this clip, Stephanie and Dana work on recording their solution to the Towers Problem, introduced in the first clip in this series. As Dana finishes her recording her towers solution individually,...
DescriptionIn this clip, researcher Alice Alston leads a discussion about how many towers could be built three cubes high when selecting from two colors. In the previous clip, the students had discussed their...
DescriptionThis video comes from an interview conducted by researcher Carolyn Maher with Romina as an 11th grader and participant of a long-term study on development of mathematical thinking and reasoning in...
DescriptionAfter a discussion in the previous clip in this series about how many towers can be built three cubes high when selecting from two colors, researcher Alice Alston asks the students to create towers...
DescriptionIn this video, the fourth grade partners Romina and Brian are constructing a solution to the “Towers Problem 5-High.” PROBLEM STATEMENT: "Your group has two colors of Unifix® cubes. Work...