5
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
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...
7
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...
8
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...
9
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...
10
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
Date Created2014-04-26
DescriptionThe small group interview with 4 students (Jeff, Michelle, Milin, and Stephanie) lasted about an hour and occurred after the students worked in the classroom on building towers of height five...
12
Date Created2014-04-26
DescriptionThe small group interview with 4 students (Jeff, Michelle, Milin, and Stephanie) lasted about an hour and occurred after the students worked in the classroom on building towers of height five...
13
Date Created1990-10-11
DescriptionIn this clip, Jamie begins recording on a large sheet her solution to the Shirts and Pants Problem introduced in the previous clip in this series. As Jamie records her solution, researcher Alice...
14
Date Created1989-03-21
DescriptionIn the last of three clips in a first grade classroom, Jeff, Milin and Jamie begin by reading problem 4. Jeff, without referring to the stones or cubes, immediately states that Grandpa would have six...
