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Building Towers, Selecting from two colors for Guess My Tower, Clip 2 of 5: Does the Number Double?
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Building Towers, Selecting from two colors for Guess My Tower, Clip 2 of 5: Does the Number Double? [video]. Retrieved from https://doi.org/doi:10.7282/T32V2FBZ

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TitleBuilding Towers, Selecting from two colors for Guess My Tower, Clip 2 of 5: Does the Number Double?
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 1993-02-26, c1993-02-26
Persistent URLhttps://doi.org/doi:10.7282/T32V2FBZ
DescriptionIn the 2nd of 5 clips, Stephanie and Matt, two fifth grade students are attempting to find all possible towers four cubes tall when selecting from two colors as the sample space for Question 2 of the Guess My Towers problem. In order to test Stephanie's conjecture that as the height of the towers increases by one cube the total number of towers doubles, Matt and Stephanie construct towers that are one, two and three cubes tall and then attempt to find and build 16 towers four cubes tall. PROBLEM STATEMENT “You have been invited to participate in a TV Quiz Show and have the opportunity to win a vacation to Disneyworld. The game is played by choosing one of the four possibilities for winning and then picking a tower out of a covered box. If the tower matches your choice, you win. You are told that the box contains all possible towers three tall that can be built when you select from cubes of two colors, red and yellow. You are given the following possibilities for a winning tower: a. All cubes are exactly the same color; b. There is only one red cube; c. Exactly two cubes are red; d. At least two cubes are yellow. Question 1.Which choice would you make and why would this choice be any better than any of the others? Question 2. Assuming you won, you can play again for the Grand Prize which means you can take a friend to Disneyworld. But now your box has all possible towers that are four tall (built by selecting from the two colors, yellow and red). You are to select from the same four possibilities for a winning tower. Which choice would you make this time and why would this choice be better than any of the others?"
Math ToolUnifix cubes
Math StrandCounting, Combinatorics, Probability
Math ProblemGuess my tower
NCTM Grade Range3-5
NCTM Content StandardNumber and operations, Data analysis and probability
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsGuessing and checking, Reasoning by cases, Controlling for variables, Considering a simpler problem
Grade Level5
Student ParticipantsMatt (student), Stephanie (student)
MediatorsMartino, Amy Marie (Researcher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingClassroom
Student GenderMixed
Student EthnicityWhite
Camera ViewsWork 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 Captured1993-02-26
Local IdentifierA45A46-CMB-GMT-CLIP002
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Building towers, selecting from two colors for Guess my tower, clip 2 of 5: Does the number double?
   Date: 2010
   Author: Sran, Manjit Kaur (Rutgers Graduate School of Education)

   Name: Tracing Milin's development of inductive reasoning
   Reference: http://hdl.rutgers.edu/1782.2/rucore10001500001.ETD.000052900
Source
   Title: A46, Building Towers Selecting from Two Colors for Guess My Tower, Full Video: Following Stephanie and Matt (Work View), Grade 5, February 26, 1993, Raw footage.
   Identifier: A46-19930226-KNWH-WV-CLASS-GR5-CMB-TW5T-RAW
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