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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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TitleEarly algebra ideas involving two variables: Romina and Brian work on Guess My Rule problems 3 and 4
Date Created1993-10-01
DescriptionThis video comes from a 6th grade class session in which the researcher, Robert B. Davis, introduces algebraic equations with two variables, using a square “box” and a “triangle” as symbols to...
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Date Created1992-02-06
DescriptionIn this one hour and forty minute unedited video, the fourth grade class was divided into pairs to work on a Towers problem on February 6, 1992. At the beginning of the session, there are two sheets...
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DescriptionIn the fourth of five clips from a single class session, we see two students, Jessica and Andrew, placing unit fractions, ranging from 1/10 to 1/2, on a number line segment with endpoints labelled 0...
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DescriptionThis clip is the first of six featuring four grade 11 students, Robert, Stephanie, Shelly, and Amy Lynn, as they construct and justify solutions to the Pizza Problem. This clip focuses on Stephanie...
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DescriptionIn the second of 6 clips, the four 11th grade students generate an exhaustive list of pizza options choosing from 4 toppings. They recognize that the 16 choices correspond to the fourth row of...
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DescriptionIn the final clip the students generalize the exponential structure of the Pizza Problem and describe the relationship between two consecutive rows of Pascal’s Triangle with reference both to the...
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DescriptionIn this fifth of six clips, four 11th grade students reconsider Pascal's Triangle as it relates to the Pizza Problem and connect this problem with the Towers Problem. As the students summarize their...
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DescriptionThe third of 6 clips focuses on the four 11th grade students as they map the numbers of pizza choices to the rows of Pascal’s Triangle and attempt to make sense of the addition rule with the...
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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...
