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TitleEarly algebra ideas involving two variables, Clip 2 of 18: Truth sets in a table

PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1993-10-01

Persistent URLhttps://doi.org/doi:10.7282/T3MW2G1N

DescriptionIn the second of 18 clips focusing on Early Algebra Ideas Involving Two Variables, Researcher Robert Davis writes the equation printed below on the white board and asks the 6th grade students to think of values for the “box” and the “triangle” that would make the statement true. The children are asked to figure out each value for the "triangle" when “box” is evaluated for consecutive numbers beginning with zero. Each pair of numbers that makes a legal and true sentence is recorded in a table that Davis identifies as representing the truth set for equations with two variables. Students raise the question as to what consitutes a mathematical secret and whether there always is a "secret" when working with mathematical ideas. Davis then refocuses the group and announces that, instead of finding the truth set for a particular equation, the task is now to find the equation that works for a particular truth set table of values for "box" and "triangle". Stephanie, Jeff and Milin are featured during the activity. Researchers Carolyn Maher, Alice Alston and Amy Martino, along with Marcia O’Brien, district supervisor, and Michael Poe, teacher, are observing.

The equation presented to the students:

(□ x 2) + 1 = ∆

The equation presented to the students:

(□ x 2) + 1 = ∆

Math ToolColor markers

Math StrandAlgebra

Math ProblemOpen sentence in two variables

NCTM Grade Range6-8

NCTM Content StandardAlgebra

NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation

Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Substituting numbers for variables, Recognizing a pattern

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), Poe, Michael (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-CLIP002

Related Publication

__Type__: Related publication

__Label__: Ed.D. dissertation references the footage that includes Early algebra ideas involving two variables, Clip 2 of 18: Truth sets in a table.

__Date__: 2009

__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

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

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