Citation & Export
APA citation
Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 3 of 5: Revisiting the 7th grade procedures for Ladders [video]. Retrieved from
https://doi.org/doi:10.7282/T3GQ6VQQ
Export
Description
TitleEarly algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 3 of 5: Revisiting the 7th grade procedures for Ladders
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 2007-05-17, c2007-05-17
DescriptionIn the third of five clips from a follow-up interview, 8th grade student, Ariel, revisits his reasoning from his 7th grade experience in an after-school enrichment session in an urban middle school. Researcher Cecilia Arias observes as Ariel watches a video clip of himself more than a year earlier as he explained his procedures for solving the Ladder Problem for two cases: one when the number of rungs in the ladder is odd and the second for cases when the ladder has an even number of rungs. After Ariel has watched the clip, he spends some time analyzing what he had done in the clip to be sure that it produced the same result as his equation, 3X + 2. When the researcher asks him to compare the two procedures, Ariel again follows the steps of the procedure for a ladder with nine rungs that was presented in the clip and concludes that - although his earlier procedure was much longer - it did have the same result. He attempts to explain this with the language of his current Algebra course and decides that his earlier series of steps might be a way to check his equation solution. To follow the development of Ariel's reasoning about the Ladder Problem in 7th grade refer to VMC clips: Early Algebra: Investigating Linear Functions: Series 5 of 7, the Ladder problem, particularly clips 2 and 3.
The worksheet wording for the Ladder Problem:
A company makes ladders of different heights, from very short ones to very tall ones. The shortest ladder has only one rung, and looks like this (We could build a model of it with 5 light green Cuisenaire rods.) A two-rung ladder could be modeled using 8 light green rods, and looks like this.
Build a rod model to represent a 3-rung ladder. How many rods did you use?
How many rods would you need to build a ladder with 10 rungs?
How could you represent the number of rods needed if you were to build a ladder with any number of rungs?
The questions as posed to Ariel in the interview clip:
Explain how you solved the Ladder Problem in the video.
How does your solution to the problem then compare to the solution that you have done now?
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 Captured2007-05-17
Local IdentifierB21-ALG-VAR-CLIP003
Related Publication
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 3 of 5: Revisiting the 7th grade procedures for Ladders
Date: 2009
Author: Baldev, Prashant V. (Rutgers, the State University of New Jersey)
Name: Urban, seventh-grade students building early algegra ideas in an informal after school program
Reference: QA.B175 2009
Source
Title: B21, Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview (student view), Grade 8, May 17, 2007, raw footage.
Identifier: B21-20070512-PFLD-SV-IFML-GR8-ALG-VAR-RAW