Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 6 of 7: Making sense of the Pascal Triangle addition rule with Unifix cube towers .
Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 6 of 7: Making sense of the Pascal Triangle addition rule with Unifix cube towers . [video] Retrieved from https://doi.org/doi:10.7282/T3NG4PFF
TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 6 of 7: Making sense of the Pascal Triangle addition rule with Unifix cube towers .
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-04-17
DescriptionIn the sixth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie first revisits her investigation of the number of duplicates that would be produced when building Unifix-cube towers 4-tall with three red cubes from the six towers with two red and two yellow cubes. Researcher Carolyn Maher asks Stephanie to justify her conclusion that there would be four sets of three duplicates. Maher then challenges Stephanie to use the sets of towers 3-tall and 4-tall that she has built to model the addition rule of Pascal's Triangle. She then is asked to describe what she has modeled algebraically using combinatorics notation. Researcher Donna Weir is observing.
The problems posed to Stephanie are:
For the towers, 4-cubes tall, with exactly three red cubes, how many duplicates did you find?
How can you explain why there were sets of three duplicates?
As you make a correspondence between the sets of towers of a particular height and each row of Pascal's Triangle, how can you use the towers to show the addition rule as you generate towers of the next height?
How could you describe what you have built using combinatorics notation?
RightsThe video is protected by copyright. It is available for reviewing and use within the Video Mosaic Collaborative (VMC) portal. Please contact the Robert B. Davis Institute for Learning (RBDIL) for further information about the use of this video.
Date Captured1996-04-17
Local IdentifierB08B09-ALG-BIEX-CLIP006
Related Publication Type: Related publication Label: Ed.D. dissertation references the video footage that includes Early Algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 6 of 7: Making sense of the Pascal Triangle addition rule with Unifix cube towers. Date: 2011 Author: Aboelnaga, Eman Y. (Eman Yousry) (Rutgers, the State University of New Jersey)
Source Title: B08, Early algebra ideas about binomial expansion, Stephanie's interview seven of seven (student view), Grade 8, April 17, 1996, raw footage. Identifier: B08-19960417-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source Title: B09, Early algebra ideas about binomial expansion, Stephanie's interview seven of seven (work view), Grade 8, April 17, 1996, raw footage. Identifier: B09-19960417-KNWH-WV-INT-GR8-ALG-BIEX-RAW