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Early algebra ideas involving two variables, Clip 17 of 18: Presenting ideas About problem 8 [video]. Retrieved from https://doi.org/doi:10.7282/T3FB51V3
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Description
TitleEarly algebra ideas involving two variables, Clip 17 of 18: Presenting ideas About problem 8
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1993-10-01
Persistent URLhttps://doi.org/doi:10.7282/T3FB51V3
DescriptionIn the seventeenth of 18 clips from Early Algebra Ideas Involving Two Variables on the second of two consecutive classroom sessions with the class of 6th grade students, several of the students present their ideas about problem 8, shown in the table below. At the suggestion of researcher, Robert B. Davis, Robert and Amy-Lynn describe the pattern of differences between consecutive values for the "triangle". Jeff theorizes about the pattern for subtraction in an equation. Brian, Romina, and Ankur note that consecutive values in the "box" column are related by multiplication and division to the "triangle" value for the larger of the "box" numbers. Researchers Carolyn Maher, Alice Alston and Amy Martino and the district supervisor, Marcia O'Brien, are observing.
Table for Problem 8:
□ ∆
0 0
1 0
2 2
3 6
4 12
5 20
6 30
Table for Problem 8:
□ ∆
0 0
1 0
2 2
3 6
4 12
5 20
6 30
Math StrandAlgebra
NCTM Grade Range6-8
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Recognizing a pattern, Guessing and checking, Generalizing
Grade Level6
Student ParticipantsBrian (Kenilworth, student), Michael A. (Kenilworth, student), Jeff (student), Robert (student), Matt (student), Romina (student), Stephanie (student), Amy-Lynn (student), Michelle I. (student), Michelle R. (student), Ankur (student), Milin (student)
MediatorsDavis, Robert B. (Robert Benjamin) (Researcher), Maher, Carolyn Alexander (Researcher), Alston, Alice S. (Researcher), Martino, Amy Marie (Researcher), O'Brien, Marcia Joan (Teacher)
SettingClassroom
Student GenderMixed
Student EthnicityMixed
Camera ViewsClassroom view, Side view, Student view
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 Captured1993-10-01
Local IdentifierA51A52A53-ALG-GMR-CLIP017
Related Publication
Type: Related publication
Label: Ed.D. dissertation references the footage that includes Early algebra ideas involving two variables, Clip 17 of 18: Presenting ideas about problem 8.
Date: 2008
Author: Giordano, Patricia (Rutgers, the State University of New Jersey)
Name: Learning the concept of function: Guess my rule activities with Dr. Robert B. Davis
Reference: QA.G497 2008
Type: Related publication
Label: Ed.D. dissertation references the footage that includes Early algebra ideas involving two variables, Clip 17 of 18: Presenting ideas about problem 8.
Date: 2008
Author: Giordano, Patricia (Rutgers, the State University of New Jersey)
Name: Learning the concept of function: Guess my rule activities with Dr. Robert B. Davis
Reference: QA.G497 2008
Source
Title: A51, Early algebra ideas involving two variables (student view), Grade 6, October 1, 1993, raw footage.
Identifier: A51-19931001-KNWH-SV-CLASS-GR6-ALG-GMR-RAW
Title: A51, Early algebra ideas involving two variables (student view), Grade 6, October 1, 1993, raw footage.
Identifier: A51-19931001-KNWH-SV-CLASS-GR6-ALG-GMR-RAW
Source
Title: A52, Early algebra ideas involving two variables (side view), Grade 6, October 1, 1993, raw footage.
Identifier: A52-19931001-KNWH-SV-CLASS-GR6-ALG-GMR-RAW
Title: A52, Early algebra ideas involving two variables (side view), Grade 6, October 1, 1993, raw footage.
Identifier: A52-19931001-KNWH-SV-CLASS-GR6-ALG-GMR-RAW
Source
Title: A53, Early algebra ideas involving two variables (classroom view), Grade 6, October 1, 1993, raw footage.
Identifier: A53-19931001-KNWH-CV-CLASS-GR6-ALG-GMR-RAW
Title: A53, Early algebra ideas involving two variables (classroom view), Grade 6, October 1, 1993, raw footage.
Identifier: A53-19931001-KNWH-CV-CLASS-GR6-ALG-GMR-RAW