Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 5 of 9: Beginning to make sense of (x + y)(x + y) [video]. Retrieved from https://doi.org/doi:10.7282/T3GM8696
DescriptionIn the fifth 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 multiply (x + y)(x + y). Stephanie conjectures that this would be x "squared" plus y "squared", symbolically represented by the exponent 2 above x and above y, only to disprove her conjecture by substituting numbers.
Stephanie then concludes that, since a(x + y) = ax + ay, (x + y)(x + y) could also be represented as
x(x + y) + y(x + y).
The problem as presented to Stephanie:
What about (x + y)(x + y) ? What would that be?
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 5 of 9, Beginning to make sense of (x + y)(x + y) 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