1

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 1 of 10: Combinatorics notation for selecting a particular number of items from a total of 4.

DescriptionIn the first clip in a series of ten from the fifth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn Maher, introduces...

2

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 3 of 10: Unifix cube towers 4 tall, selecting from two colors, as a model for selecting three, four or zero objects from a group of four.

DescriptionIn the third clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion. She is revisiting the...

3

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 2 of 10: Unifix cube towers 4 tall, selecting from two colors, as a model for selecting two objects from a group of four.

DescriptionIn the second clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion. She is revisiting the...

4

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...

5

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...

6

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...

7

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...

8

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...