Home
Resource
Towers five-high selecting from two colors: Developing local organization
VIDEO
PDF
PDF format is widely accepted and good for printing.
Plug-in required
Transcript(70.15 kb)
Citation & Export
Statistics
Staff View

Now Playing: MP4-1
Close

Open in new window/tab

Citation & Export
Hide

APA citation

Towers five-high selecting from two colors: Developing local organization [video]. Retrieved from https://doi.org/doi:10.7282/T3FT8JFW

Export

Click here for information about Citation Management Tools at Rutgers.

Statistics
Hide

Description

TitleTowers five-high selecting from two colors: Developing local organization
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 1992-02-06, c1992-02-06
Persistent URLhttps://doi.org/doi:10.7282/T3FT8JFW
DescriptionIn this video, the fourth grade partners Romina and Brian are constructing a solution to the “Towers Problem 5-High.” PROBLEM STATEMENT: "Your group has two colors of Unifix® cubes. Work together and make as many different towers, 5 cubes tall, as is possible when selecting from two colors. Convince us that you have found them all." At the beginning of this clip, Romina and Brian check for duplicates among the twenty-one towers they have already built and wonder if they have generated all possible towers that meet the problem criteria. Romina conjectures that they have all the towers. Then researcher Alice Alston asks Brian and Romina about their thinking. When Brian says that they are using a strategy of “do the opposite,” the researcher asks what he means and then follows by asking if towers always have an opposite. The students investigate their new conjecture that every tower has an opposite by attempting to find a tower without an opposite. After verifying that all of their existing towers can be put into opposite pairs, Romina tells Brian to stand the towers up together in groups of two that she calls “matches.” One of their original towers does not have an opposite and after they generate its opposite, they have a total of twenty-two towers.
Math ToolUnifix cubes
Math StrandCounting, Combinatorics
Math ProblemTowers
NCTM Grade Range3-5
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsGuessing and checking
Grade Level4
Student ParticipantsRomina (student), Brian (Kenilworth, student)
MediatorsAlston, Alice S. (Researcher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingClassroom
Student GenderMixed
Student EthnicityWhite
Camera ViewsStudent 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 Captured1992-02-06
Local IdentifierA70-CMB-T5T-CLIP001
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Towers five-high selecting from two colors: Developing local organization
   Date: 2010
   Author: Steffero, Maria (Rutgers, the State University of New Jersey)

   Name: Tracing beliefs and behaviors of a participant in a longitudinal study for the development of mathematical ideas and reasoning [electronic resource] : a case study.
   Reference: http://hdl.rutgers.edu/1782.2/rucore10001500001.ETD.000052894
Source
   Title: A70, Towers five-high selecting from two colors (student view), Grade 4, February 6, 1992, raw footage.
   Identifier: A70-19920206-KNWH-SV-CLASS-GR5-CMB-TW5T-RAW
Version 8.5.5
Rutgers University Libraries - Copyright ©2024