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DescriptionThis is the sixth clip in a series of seven of building towers four tall problem using red and blue unifix towers. Another student visited Brian and Jeff’s table and tells them that they got sixteen...
DescriptionDuring this session, the students begin by working on the following problem: “Stephen has a white shirt, a blue shirt and a yellow shirt. He has a pair of blue jeans and a pair of white jeans. How...
TitleShirts and Pants with Stephanie and Dana, Clip 2 of 2: Extending the problem with additional pairs of jeans
DescriptionIn this clip, researcher Amy Martino asks Dana and Stephanie to work on an extension to the shirts and pants problem: How many outfits can Stephen make if he has an additional pair of black jeans?...
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...
TitleBuilding Towers, Selecting from two colors for Guess My Tower, Clip 4 of 5: Stephanie and Matt Rebuild the Argument
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...
TitleBuilding Towers, Selecting from two colors for Guess My Tower, Clip 2 of 5: Does the Number Double?
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...
TitleBuilding Towers, Selecting from two colors for Guess My Tower, Clip 5 of 5: Sharing with the Group
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...
TitleBuilding Towers, Selecting from Two Colors for Guess My Tower, Clip 1 of 5: The Meaning of "At Least"
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...
TitleBuilding Towers, Selecting from two colors for Guess My Tower, Clip 3 of 5: Milin introduces an inductive argument
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...
TitleTowers with Stephanie and Dana, Clip 2 of 5: Finding seventeen towers and checking for duplicates
DescriptionIn this clip, Stephanie and Dana continue working on the Towers Problem, introduced in the previous clip in this series. For each tower that they create, Stephanie checks it against the ones they have...