Night session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notation [video]. Retrieved from https://doi.org/doi:10.7282/T3ZK5GH2
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 explain why 45 is the coefficient of the third term in this expansion, the students refer to counting how many 10-tall towers have exactly two cubes of a specific color.
Note: The 10-tall towers problem is an instance of the n-tall towers problem: How many towers n cubes tall is it possible to make when there are two colors of cubes to choose from?
Related Publication Type: Dissertation Label: Ed.D. dissertation references the video footage that includes Night session, Pascal's Identity, clip 1 of 7. Detail: Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection. Author: Uptegrove, Elizabeth (Rutgers Graduate School of Education)
Name: To symbols from meaning: students' investigations in counting.
Source Title: A28, Night session, Pascal's identity, grade 11, May 12 1999, raw footage Identifier: 28-19990512-KNWH-PV-CLASS-GR11-CMB-TW10T-RAW