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TitleNight session, Pascal's identity, clip 3 of 7: further explorations of factorials and combinations
DescriptionThis is the third of seven clips from the night session. The four students (Ankur, Jeff, Michael, and Romina) investigate the reason for dividing n! by (n-x)! and x! when calculating “n choose...
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Date Created1990-02-26
DescriptionIn the second of 8 clips with second grade students, researcher Amy Martino interviews Jeff about how he and his group, which had included Stephanie and Brian, approached the candy heart problems in...
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Date Created1990-02-26
DescriptionIn the third of 8 clips with second grade students, researcher Amy Martino interviews Stephanie about how she and her group, which included Jeff and Brian, had approached the candy hearts problems in...
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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...
