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7

Date Created1989-03-21

DescriptionIn the first of three clips in a first grade classroom, teacher Angela Marinaro introduces the day's activity and distributes a packet of problems to each child. She first asks the students to...

8

Date Created1989-03-21

DescriptionIn the first of nine clips in a first grade classroom, Teacher Angela Marinaro introduces the day's activity and distributes a packet of problems to each child. She asks the students to identify the...

9

Date Created1989-03-21

DescriptionIn the second of three clips in a first grade classroom, Jeff, Milin and Jamie begin by reading problem 2. Jeff and Milin use Unifix cubes and Jamie counts out stones to model the problem. The two...

10

Date Created1989-03-21

DescriptionIn the final clip of the series of nine in a first grade classroom, four children: Stephanie, Gerardo, Sean and Aaron, explain their reasoning about problems 4 of a set of 6 problems to their teacher,...

11

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...

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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...

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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...

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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...

15

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...

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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...