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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 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...
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Date Created2007-05-17
DescriptionIn the third of five clips from a follow-up interview, 8th grade student, Ariel, revisits his reasoning from his 7th grade experience in an after-school enrichment session in an urban middle school....
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Date Created2007-05-17
DescriptionIn the second of five clips from a follow-up interview about his participation in Informal Mathematics Learning (IML), an after-school enrichment program, Ariel, an 8th grade student in an urban...
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DescriptionIn the second of seven clips from an after-school enrichment session in an urban middle school, two 7th grade boys, Ariel and James, are exploring ideas about linear functions. In responding to...
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DescriptionIn the fifth of seven clips from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy, continues his work on the Ladder Problem. Researcher John Francisco challenges...
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DescriptionIn the third of seven clips from an after-school enrichment session in an urban middle school, two 7th grade boys, Ariel and James, are exploring ideas about linear functions. When Ariel explains his...
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Date Created1990-10-11
DescriptionThis is the first clip of a series of seven of tower problem focusing on 4-tall tower using unifix cubes of two different colors (red and blue). Researcher Martino began by asking what a tower is and...
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Date Created1990-10-11
DescriptionThis is the second clip in a series of seven of building towers four tall problem using red and blue unifix towers. Brian suggests a new tower with two blue and two reds. Jeff said he would build the...
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DescriptionIn this clip, the first of five clips from a single class session, the researcher asks the students to review how they were able to show that 1/4 is larger than 1/9 by 5/36. The students had worked...
