5

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...

6

2 Analytics found

TitleTaxicab problem, clip 5 of 5: extending the taxicab correspondence to pizza with toppings and binary notation

DescriptionIn the fifth of five clips, Romina, Brian and Michael, describe patterns and relationships identified in their solution to the Taxicab problem to Arthur Powell, a second researcher. The students...

7

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...

8

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...

9

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...

10

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...

11

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...

12

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...

13

3 Analytics found

TitlePizza problems with four and five toppings, clip 2 of 6: Finding an answer

DescriptionIn the second of 6 clips, the four 11th grade students generate an exhaustive list of pizza options choosing from 4 toppings. They recognize that the 16 choices correspond to the fourth row of...

14

3 Analytics found

TitlePizza problems with four and five toppings, Clip 1 of 6: Approaching the problem

DescriptionThis clip is the first of six featuring four grade 11 students, Robert, Stephanie, Shelly, and Amy Lynn, as they construct and justify solutions to the Pizza Problem. This clip focuses on Stephanie...