Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 8 of 9: Building meaning for xy + yx. [video] Retrieved from https://doi.org/doi:10.7282/T30P0Z11
DescriptionIn the eighth clip in a series of nine from the first of seven interviews focusing on early algebraic ideas about the binomial expansion, Stephanie explores possible meanings for x*y + y*x (with * signifying multiplication) in order to simplify the expression x*x + x*y + y*x + y*y. Working with the researcher, Carolyn Maher, she determines that x*y + y*x can be rewritten as 2xy and the total expression can be simplified as x squared plus 2xy plus y squared.
The problem presented to Stephanie:
If x(x + y) + y(x + y) = x*x + x*y + y*x + y*y, how might you simplify this expression?
Related Publication Type: Related publication Label: Ed.D. dissertation references the footage that includes Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 8 of 9: Building meaning for xy + yx . 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