Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 1 of 9: Explaining that (a+b) squared = (a squared + 2ab + b squared), algebraically and geometrically
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Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 1 of 9: Explaining that (a+b) squared = (a squared + 2ab + b squared), algebraically and geometrically [video]. Retrieved from
https://doi.org/doi:10.7282/T3G73CK5
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 1 of 9: Explaining that (a+b) squared = (a squared + 2ab + b squared), algebraically and geometrically
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-02-21
DescriptionIn the first clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie explains the conclusions that she has justified in earlier interviews. In response to the researcher, Carolyn Maher, Stephanie firsts writes out the expanded form of (a+b) squared. She then explains that she had used geometric drawings to illustrate the meaning of the square with side a, first by substituting the value 3 for a and drawing a 3 by 3 array within a square and then representing a square with side (a+b) by sectioning her drawing into four parts.
The problem as presented to Stephanie:
Explain your conclusions about the square of the quantity (a+b).
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 Captured1996-02-21
Local IdentifierA66A67-ALG-BIEX-CLIP001
Related Publication
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 1 of 9: Explaining that (a+b) squared = (a squared + 2ab + b squared), algebraically and geometrically
Date: 2011
Author: Aboelnaga, Eman Y. (Eman Yousry) (Rutgers, the State University of New Jersey)
Name: A case study : the development of Stephanie's algebraic reasoning
Reference: http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Source
Title: A66, Early algebra ideas about binomial expansion, Stephanie's interview four of seven (student view), Grade 8, February 21, 1996, raw footage.
Identifier: A66-19960221-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source
Title: A67, Early algebra ideas about binomial expansion, Stephanie's interview four of seven (work view), Grade 8, February 21, 1996, raw footage.
Identifier: A67-19960221-KNWH-WV-INT-GR8-ALG-BIEX-RAW
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