DescriptionIn the third clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, Stephanie, an 8th grade student, reviews her conclusions about distributing any number over the sum of two variables. When researcher Carolyn Maher asks her to revisit her earlier conjecture about the expression a(x + y) as it relates to the expression 5(L + W), Stephanie expresses uncertainty because there is not a specified number to indicate how many times to add the quantity (x + y). She uses words instead of algebraic symbols to write her conclusion that the expression a( x + y) means that there would be "a" amount of "x's" and also "a" amount of "y's".
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.
Related Publication Type: Related publication Label: Ed.D disseration references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 3 of 9: Making general sense of a(x + y) = ax + ay 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