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DescriptionAmy Martino leads a whole class discussion during which they talk about ways of writing number sentences for two problems: 1) How many one sixths are in one? and 2) How many one twelfths are in one?...
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DescriptionMeredith works with her partner, Michael, as they attempt to write a number sentence that describes how many one sixths are in one. After some discussion with Michael and Amy Martino about the correct...
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DescriptionIn this short clip, James explains to Robert B. Davis his solution to the problem: Which is larger, one fourth or one ninth, and by how much? After some questioning, he explains that the train (i.e.,...
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Date Created1990-10-11
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...
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Date Created1999-05-18
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...
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Date Created1992-02-06
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...
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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...
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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...
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Date Created1993-02-26
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...
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Date Created1993-02-26
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...
