Early algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 1 of 10: Combinatorics notation for selecting a particular number of items from a total of 4.
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Early algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 1 of 10: Combinatorics notation for selecting a particular number of items from a total of 4. [video] Retrieved from
https://doi.org/doi:10.7282/T3HH6J18
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 1 of 10: Combinatorics notation for selecting a particular number of items from a total of 4.
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-03-13
DescriptionIn the first clip in a series of ten from the fifth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn Maher, introduces Stephanie to mathematical notation to represent the number of ways to select a specific number of objects from a set. Maher asks Stephanie to recall an earlier problem task, in which she was asked to determine the possible number of unifix "towers", four cubes tall, when selecting from two colors, red and yellow. As Stephanie described the number of towers possible that had four red cubes (no yellow cubes) or four yellow cubes (no red cubes), and then the number that had exactly one yellow cube, Maher recorded her conclusions using the notation that she had introduced.
The problems as presented to Stephanie:
If order does not matter, how many ways can you select 4 objects from a group of 4? How many ways can you select one object from a group of 4?
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-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 five of seven, Clip 1 of 10: Combinatorics notation for selecting a particular number of items from a total of 4.
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: A68, Early algebra ideas about binomial expansion, Stephanie's interview five of seven (student view), Grade 8, March 13, 1996, raw footage.
Identifier: A68-19960313-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source
Title: A69, Early algebra ideas about binomial expansion, Stephanie's interview five of seven (work view), Grade 8, March 13, 1996, raw footage.
Identifier: A69-19960313-KNWH-WV-INT-GR8-ALG-BIEX-RAW
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