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DescriptionThis is the last of seven clips from the night session. The students (Ankur, Jeff, Michael, and Romina) explain to Brian, a late-comer, the meaning of Pascal’s Identity (the addition rule for...
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TitleNight session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notation
DescriptionThis is the first of seven clips from the night session. In it, Jeff, Michael, and Romina discuss the coefficients of the binomial expansion, specifically (a+b) to the 10th power. In attempting to...
11
DescriptionThis is the sixth of seven clips from the night session. After Jeff draws Pascal’s Triangle in what the students call “choose” notation, the researcher asks the students to express an instance...
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DescriptionThis is the second of seven clips from the night session. In it, Jeff, Michael, and Romina, along with Ankur (who has just arrived), use the analogy they call “people on a line” to investigate...
13
Date Created2014-03-15
DescriptionAt an after-school session in the middle of their junior year, Ankur, Brian, Jeff, Michael, and Romina were introduced to the World Series problem [the problem statement is below]. The students...
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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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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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Date Created1998-01-28
DescriptionThis video comes from The Private Universe Project in Mathematics and includes interview with researcher, Regina Kiczek, as well as narrative voice-over, interspersed with footage of students engaged...
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Date Created2000-05-05
DescriptionThis video comes from The Private Universe Project in Mathematics and includes narrative voice-over interspersed with footage of students engaged with problem solving and discussion with researcher,...
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TitleB39, Revisiting the World Series problem (student view), Grade 11, January 29, 1999, raw footage
Date Created2014-03-15
DescriptionA week after the first time they worked with the World Series problem, Ankur, Jeff, Michael, and Romina met a second time to work on the World Series problem. Brian was not available for this session....
