Early algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 5 of 10: Recognizing the symmetry for the two colors across the cases when building unifix towers four-cubes tall
Early algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 5 of 10: Recognizing the symmetry for the two colors across the cases when building unifix towers four-cubes tall [video]. Retrieved from https://doi.org/doi:10.7282/T3862J4T
TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 5 of 10: Recognizing the symmetry for the two colors across the cases when building unifix towers four-cubes tall
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 1996-03-13, c1996-03-13
DescriptionIn the fifth clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion. Referring to the combinatorics notation for each of the five cases for n equal height 4 and r equal to the number of red cubes from zero to four, researcher Carolyn Maher asks Stephanie whether there would not be 16 more towers if one was focusing on r as the number of yellow cubes from zero to four. Stephanie reasons that the solution for that investigation would include the same 16 towers in reverse order. The problems as presented to Stephanie:Based on the number of towers in each case for n equal height 4 and r equal to the number of red cubes from zero to four, will there not be an equal number of towers for n equal height 4 and r equal to the number of yellow cubes from zero to four, resulting in a final total of 32 towers? Justify your answer.
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 Captured1996-03-13
Local IdentifierA68A69-ALG-BIEX-CLIP005
Related Publication Type: Related publication Label: Ed.D. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 5 of 10: Recognizing the symmetry for the two colors across the cases when building unifix towers four-cubes tall Date: 2011 Author: Aboelnaga, Eman Y. (Eman Yousry) (Rutgers, the State University of New Jersey)