DescriptionIn the fourth 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 focus on the meaning of the expression x times x. After developing a table to represent consecutive numerical values of x with each value expressed as a factor two times, Stephanie concludes that each numerical product of two identical factors can be expressed as the number "squared", represented by the exponent 2 following the number. She then concludes that, for the variable "x", the expression "x times x" can be represented as "x squared" using the exponent 2 after the "x".
The problem as presented to Stephanie:
Suppose you had x times x. What would that be?
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. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 4 of 9: Making general sense of x times x. 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