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TitleEarly algebra ideas involving one variable, Clip 2 of 11: Introducing integers with pebbles in the bag

DescriptionIn the second of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, the researcher, Robert B. Davis, models adding positive and negative integers to a class of 6th...

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TitleEarly algebra ideas involving one variable, Clip 5 of 11: Solving equation four

DescriptionIn the fifth of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, the students work together to find the truth set for equation four on the worksheet recorded...

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1 Analytic found

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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1 Analytic found

TitleNight session, Pascal's identity, clip 2 of 7: making sense of factorial notation and "why you multiply"

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...

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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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1 Analytic found

TitleNight Session, Pascal’s Identity, Clip 7 of 7: Generating and generalizing Pascal’s Identity

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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1 Analytic found

TitleB79, PM6 Catwalk, Grade 12, 2000, Repurposed footage

Date Created2000

DescriptionThis video comes from the Rutgers-Kenilworth Study, and edited for the The Private Universe Project in Mathematics (PUP-Math). It includes narrative voice over and an interview with Researcher, Robert...

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1 Analytic found

TitleNight session, Pascal's identity, clip 4 of 7: An example of Pascal's identity

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...

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1 Analytic found

TitleNight Session, Pascal’s Identity, Clip 6 of 7: Examples of Pascal’s Identity in the notation for combinations

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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2 Analytics found

TitleEarly algebra ideas involving two variables, Clip 3 of 18: Introduction to guess my rule

DescriptionIn the third of 18 clips focusing on Early Algebra Ideas Involving Two Variables, when Researcher Robert Davis asks the students to explain what they understand to be the mathematical task, Milin...