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Towers with Stephanie and Dana, Clip 3 of 5: Checking for duplicates and discovering “cousin” towers
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Towers with Stephanie and Dana, Clip 3 of 5: Checking for duplicates and discovering “cousin” towers [video]. Retrieved from https://doi.org/doi:10.7282/T3VX0DX7

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TitleTowers with Stephanie and Dana, Clip 3 of 5: Checking for duplicates and discovering “cousin” towers
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 1990-10-11, c1990-10-11
Persistent URLhttps://doi.org/doi:10.7282/T3VX0DX7
DescriptionIn this clip, researcher Alice Alston asks Stephanie and Dana how many towers they have created. The two girls had been working on the Towers Problem introduced in the first clip in this series. After they reply that they have found seventeen towers, Alice points out that their group of towers contains a duplicate tower. Alice then questions the girls about how they can be sure that they have found all the towers, and Stephanie and Dana reply that they were “running out of blocks” so they checked their towers and eliminated the duplicates. Stephanie then decides to check for duplicates again to be certain that they are all unique. During her check, she comments that she found “cousin” towers which she explains as two towers that are the same when one is turned on its head. Alice then shows the girls two towers that she considers “cousins”, towers which have the same pattern but with opposite colors. Stephanie continues looking for duplicates. When she finishes, the girls record their solution with explanations of how they arrived at their answer.
Math StrandCounting, Combinatorics
Math ProblemTowers
NCTM Grade Range3-5
NCTM Content StandardNumber and operations
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsCounting, Direct reasoning, Guessing and checking
Grade Level3
Student ParticipantsDana (student), Stephanie (student)
MediatorsAlston, Alice S. (Researcher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingClassroom
Student GenderFemale
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 Captured1990-10-11
Local IdentifierB50-CMB-T4T-CLIP003
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Towers with Stephanie and Dana, Clip 3 of 5: Checking for duplicates and discovering “cousin” towers
   Date: 1992
   Author: Martino, Amy Marie (Rutgers, the State University of New Jersey)

   Name: Elementary students' construction of mathematical knowledge : analysis by profile
   Reference: QA.M386 1992
Source
   Title: B50, Towers with Stephanie and Dana (student view), Grade 3, October 11, 1990, raw footage.
   Identifier: B50-19901011-KNWH-SV-CLASS-GR3-CMB-T4T-RAW
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