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Early algebra ideas involving one variable, Clip 2 of 11: Introducing integers with pebbles in the bag
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Early algebra ideas involving one variable, Clip 2 of 11: Introducing integers with pebbles in the bag [video]. Retrieved from https://doi.org/doi:10.7282/T32J69R3

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TitleEarly algebra ideas involving one variable, Clip 2 of 11: Introducing integers with pebbles in the bag
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1999-09-30
Persistent URLhttps://doi.org/doi:10.7282/T32J69R3
DescriptionIn the second of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, the researcher, Robert B. Davis, models adding positive and negative integers to a class of 6th grade students by having the students add and remove small colored stones from a bag. For a given action, after a student gives the command: “Go”, a second student, responding to directions from the class, first adds a specific number of stones to the bag and then removes another specified amount. Davis and the students describe each action with a symbolic equation that designates addition as "adding more pebbles", subtraction as “taking away” with the symbol “-“ and attaches a superscript “–“ before the numeral to designate a negative integer. Stephanie, Milin, Amy-Lynn, Jeff, Michelle I. and Brian volunteer to model and record during the activity, responding to directions from Davis and the class. Researchers Carolyn Maher, Alice Alston, Amy Martino and Tom Purdy, along with Marcia O’Brien, district supervisor, and Michael Poe, teacher, are observing.
Equations constructed to represent the “pebble action” examples:
7-12= "superscript -"5
1 – 6 = "superscript -"5
Final statement posed to the class: 6 – 8 = ____ .
Math ToolColor markers
Math StrandAlgebra
Math ProblemPebbles in the bag
NCTM Grade Range6-8
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning
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), Purdy, Thomas LaMonde (Researcher), O'Brien, Marcia Joan (Teacher), Poe, Michael (Teacher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingClassroom
Student GenderMixed
Student EthnicityMixed
Camera ViewsTeacher view, Side 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 Captured1999-09-30
Local IdentifierA54A55-ALG-PIB-CLIP002
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Early algebra ideas involving one variable, Clip 2 of 11: Introducing integers with pebbles in the bag
   Date: 2009
   Author: Spang, Kathleen E. (Rutgers Graduate School of Education)

   Name: Teaching algebra ideas to elementary school children : Robert B. Davis' introduction to early algebra
   Reference: QA.S735 2009
Source
   Title: A54, Early algebra ideas involving one variable (teacher view), Grade 6, September 30, 1993, raw footage.
   Identifier: A54-19930930-KNWH-TV-CLASS-GR6-ALG-PIB-RAW
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