Early algebra ideas about binomial expansion, Stephanie's interview one of seven, clip 6 of 9: Testing (x + y)(x + y) = x(x + y) + y(x + y) with numbers. [video] Retrieved from https://doi.org/doi:10.7282/T3VX0FH8
DescriptionIn the sixth clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, researcher Carolyn Maher asks Stephanie to justify her conjecture that
(x + y)(x + y) could also be represented as x(x + y) + y(x + y). Stephanie substitutes 2 for "x" and 3 for "y" into each side of the equation and performs the calculations to determine that the statement is true for those values. Subsequently she substitutes 4 for "x" and 5 for "y" as a second test.
The problem presented to Stephanie:
You say that (x + y)(x + y) = x(x + y) + y(x + y). How could you test that conjecture?
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 Captured1995-11-08
Local IdentifierA56A57-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 one of seven, clip 6 of 9: Testing (x + y)(x + y) = x(x + y) + y(x + y) with numbers Date: 2011 Author: Aboelnaga, Eman Y. (Eman Yousry) (Rutgers, the State University of New Jersey)
Source Title: A56, Early algebra ideas about binomial expansion, Stephanie's interview one of seven (student view), Grade 8, November 8, 1995, raw footage. Identifier: A56-19951108-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source Title: A57, Early algebra ideas about binomial expansion, Stephanie's interview one of seven (work view), Grade 8, November 8, 1995, raw footage. Identifier: A57-19951108-KNWH-WV-INT-GR8-ALG-BIEX-RAW