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Towers Group Sharing, Clip 1 of 6: Discussing the solution and patterns related to it
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Towers Group Sharing, Clip 1 of 6: Discussing the solution and patterns related to it [video]. Retrieved from https://doi.org/doi:10.7282/T34B2ZP3

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TitleTowers Group Sharing, Clip 1 of 6: Discussing the solution and patterns related to it
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 1990-10-11, c1990-10-11
Persistent URLhttps://doi.org/doi:10.7282/T34B2ZP3
DescriptionAfter the students have worked on the Towers Problem in the Towers series, researcher Alice Alston facilitates a group sharing session. She begins by asking how many towers the students have found and receives a reply of sixteen. She then asks if anyone has found a different number of towers, but no one reports having found a different number. The researcher asks if anyone thinks “there might have been seventeen” to which some students answer in the affirmative. The researcher then asks how they decided that there were not more than sixteen. Jamie explains that “if you got seventeen then it must have been that you would have had a match”. Milin shares that every tower has a “match”, a tower with the opposite color pattern. Jamie shows how the towers on her large recording sheet are arranged to display each tower and its opposite following it. The researcher asks if anyone used any other types of patterns. Dana answers that she created patterns with the different color cubes, apparently referring to patterns created within towers. Then the researcher asks Jeff and Brian if they thought there might be seventeen towers, and Brian replies that they thought there would be seventeen but that they “gave up” when then realized that the seventeenth tower was always a duplicate of one that they had found already. The researcher continues the discussion by raising the question of whether the number of towers they found is odd or even and whether or not that fact is important. Jamie says that since every tower has an opposite, they got sixteen towers, but without opposites they would only have had eight.
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), Milin (student), Brian (Kenilworth, student), Jeff (student), Jamie (student), Michael M. (Kenilworth, student), Joey (student), Michael A. (Kenilworth, student)
MediatorsMartino, Amy Marie (Researcher), Alston, Alice S. (Researcher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingClassroom
Student GenderMixed
Student EthnicityMixed
Camera ViewsPresentation 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 IdentifierB51-CMB-T4T-CLIP001
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Towers Group Sharing, Clip 1 of 6: Discussing the solution and patterns related to it
   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: B51, Towers Group Sharing (presentation view), Grade 3, October 11, 1990, raw footage.
   Identifier: B51-19901011-KNWH-PV-CLASS-GR3-CMB-T4T-RAW
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