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2 Analytics found

TitleShirts and Pants with Stephanie and Dana, Clip 2 of 2: Extending the problem with additional pairs of jeans

Date Created1990-10-11

DescriptionIn this clip, researcher Amy Martino asks Dana and Stephanie to work on an extension to the shirts and pants problem: How many outfits can Stephen make if he has an additional pair of black jeans?...

19

1 Analytic found

TitleNight Session, Pascal’s Identity, Clip 5 of 7: Another way to write Pascal’s Triangle

DescriptionThis is the fifth of seven clips from the night session. The students (Ankur, Jeff, Michael, and Romina) have been discussing Pascal’s Triangle. The researcher rewrites row 3 of Pascal’s...

20

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...

21

3 Analytics found

TitleTaxicab problem, clip 1 of 5: the shortest distance between two points.

DescriptionIn the first of five clips, four twelfth grade students develop their initial strategies for approaching the Taxicab Problem. They determine the shortest distances to the three given points: A, B and...

22

2 Analytics found

TitleTaxicab problem, clip 2 of 5: investigating the number of shortest paths.

DescriptionIn the second of five clips, the four twelfth grade students employ various strategies to determine the number of shortest paths to the remaining two points, B and C, on the problem grid. Various...

23

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...

24

1 Analytic found

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...

25

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

TitleA28, Night Session, Pascal's Identity (presentation view), Grade 11, May 12, 1999, raw footage

DescriptionIn this full-session, raw footage video, students have come to school in the evening for a night session. The group, made up of Jeff, Michael and Romina begin discussing the coefficients of the...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 6 of 7: Making sense of the Pascal Triangle addition rule with Unifix cube towers .

DescriptionIn the sixth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie first revisits her investigation of the number of duplicates that would be produced when building...