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

2 Analytics found

TitlePizza problems with four and five toppings, clip 3 of 6: Why does it work?

DescriptionThe third of 6 clips focuses on the four 11th grade students as they map the numbers of pizza choices to the rows of Pascal’s Triangle and attempt to make sense of the addition rule with the...

3

TitleFraction problems, Sharing and Number Lines, Clip 2 of 5: Equal shares, 3 candy bars for 25 students

DescriptionIn this second of five clips from a single class session, the students consider how 3 candy bars could have been equally distributed among their class of 25. The students had worked on this problem...

4

TitleRomina interview reflections (corporate consultant): Problem solving in business

Date Created2006-05-12

DescriptionResearchers Carolyn Maher and Liz Uptegrove conduct a group interview with Romina, Angela and Magda as young professionals who have been participants in a long-term study on development of...

5

1 Analytic found

TitleRomina interview reflections (11th grade): Everything has Romina's definition

Date Created1999-05-18

DescriptionThis video comes from an interview conducted by researcher Carolyn Maher with Romina as an 11th grader and participant of a long-term study on development of mathematical thinking and reasoning in...

6

2 Analytics found

TitlePizza problems with four and five toppings, clip 5 of 6: Explaining solutions

DescriptionIn this fifth of six clips, four 11th grade students reconsider Pascal's Triangle as it relates to the Pizza Problem and connect this problem with the Towers Problem. As the students summarize their...

7

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...

8

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 4 of 10: Investigating the "doubling pattern" for unifix towers of increasing heights.

DescriptionIn the fourth 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. Using combinatorics...

9

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...

10

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...