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TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes.

DescriptionIn the fourth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie and researcher Carolyn Maher investigate how to numerically represent the number of Unifix towers for...

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1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 1 of 11: Stephanie revisits combinatorics notation for building towers

DescriptionIn the first clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie revisits her earlier exploration of particular algebraic ideas about binomial expansion with...

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2 Analytics found

TitlePizza problems with four and five toppings, clip 6 of 6: Connecting pizzas and towers

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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1 Analytic found

TitlePUP Math Romina's proof to Ankur's challenge

Date Created1998-01-09

DescriptionIn this edited and narrated episode from the Private Universe Project in Mathematics, five tenth-grade students consider two different problems. FIRST PROBLEM STATEMENT: “Choosing from two colors...

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4 Analytics found

TitlePUP Math Towers

Date Created2000

DescriptionThis video comes from The Private Universe Project in Mathematics and includes narrative voice-over and interview with researcher, Carolyn Maher interspersed with footage of students engaged with...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 3 of 7: Investigating the algebraic generalization for building Unifix-cube towers n-tall with exactly two red cubes from towers with exactly one red cube.

DescriptionIn the third clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie continues to investigate the construction of Unifix towers four-cubes tall, selecting from red and...

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1 Analytic found

TitlePUP Math Pizza, Clip 1 of 2: Pizza halves with two toppings

Date Created1993-03-01

DescriptionIn this edited video, the first of a set of two clips developed for the Private Universe Project in Mathematics, 12 fifth grade students during two consecutive classroom sessions work in two groups,...

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2 Analytics found

TitlePUP Math: Gang of four

Date Created2000

DescriptionThis video is part of The Private Universe Project in Mathematics and includes narrative voice-over and interview with researcher, Carolyn Maher interspersed with footage of a group interview with...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 11 of 11:
Extending ideas about generating towers 4-cubes tall selecting from green and blue cubes to towers 5-cubes tall with exactly 1 green cube and connecting to Fermat and Pascal

DescriptionIn the final clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is challenged by researchers Carolyn Maher and Robert Speiser to extend her ideas about how to build...

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2 Analytics found

TitleB43, Interview with Brandon about the Towers and Pizza problem (student view), Grade 4, April 5, 1993, raw footage

Date Created2014-04-27

DescriptionIn this task-based interview Brandon, a 10-year-old 4th grade boy, shares his ideas with the researcher, Amy Martino, about two problems that he had solved in earlier class sessions. In the first...