1

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...

2

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...

3

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...

4

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...

5

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...

6

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...

7

2 Analytics found

TitleTowers with Stephanie and Dana, Clip 1 of 5: Introducing and working on the problem

DescriptionIn this clip, researcher Amy Martino introduces the following problem to the students: “How many different towers four blocks tall can you build when selecting from two colors?” Dana and Stephanie...

8

TitleWord problems with addition and subtraction, Stephanie's group, Clip 1 of 9: Problem 1, how many more legos does David have than John?

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

TitleWord problems with addition and subtraction, Jeff's group, Clip 2 of 3: Solving problems 2 and 3 about the meaning of "fewer"

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

TitleWord problems with addition and subtraction, Stephanie's group, Clip 9 of 9: Reasoning about the solution to problem 4 with the teacher

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,...