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Building Towers, Selecting from Two Colors for Guess My Tower, Clip 1 of 5: The Meaning of "At Least" [video]. Retrieved from https://doi.org/doi:10.7282/T3BC3XR5
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TitleBuilding Towers, Selecting from Two Colors for Guess My Tower, Clip 1 of 5: The Meaning of "At Least"
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 1993-02-26, c1993-02-26
Persistent URLhttps://doi.org/doi:10.7282/T3BC3XR5
DescriptionIn the first of five clips, Milin and Michelle I, two fifth grade students are attempting to find all possible towers three cubes tall when selecting from two colors as the sample space for Question 1 of the Guess My Towers problem. Milin quickly concludes that the choice with "at least two cubes are yellow" would be a winning choice and attempts to persuade his partner that this is the better choice. Although his partner, Michelle, is not yet convinced, Milin proceeds to write the number of 3-tall towers next to each of the four possibilities.
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?" .
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 HeuristicsDirect reasoning, Reasoning by cases, Controlling for variables
Grade Level5
Student ParticipantsMilin (student), Michelle I. (student)
MediatorsAlston, Alice (Researcher)
SettingClassroom
Student GenderMixed
Student EthnicityMixed
Camera ViewsStudent view, Work 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 IdentifierA43A44-CMB-GMT-CLIP001
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 1 of 5: The Meaning of "At Least"
Date: 2010-05-01
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
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Building Towers Selecting from Two Colors for Guess My Tower, Clip 1 of 5: The Meaning of "At Least"
Date: 2010-05-01
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: A43, Building Towers Selecting from Two Colors for Guess My Tower, Full Video: Following Milin and Michele I (Student View), grade 5, February 26, 1993, raw footage.
Identifier: A43-19930226-KNWH-SV-CLASS-GR5-CMB-TW5T-RAW
Title: A43, Building Towers Selecting from Two Colors for Guess My Tower, Full Video: Following Milin and Michele I (Student View), grade 5, February 26, 1993, raw footage.
Identifier: A43-19930226-KNWH-SV-CLASS-GR5-CMB-TW5T-RAW
Source
Title: A44, Building Towers Selecting from Two Colors for Guess My Tower, Full Video: Following Milin and Michele I (Work View), grade 5, February 26, 1993, raw footage.
Identifier: A44-19930226-KNWH-WV-CLASS-GR5-CMB-TW5T-RAW
Title: A44, Building Towers Selecting from Two Colors for Guess My Tower, Full Video: Following Milin and Michele I (Work View), grade 5, February 26, 1993, raw footage.
Identifier: A44-19930226-KNWH-WV-CLASS-GR5-CMB-TW5T-RAW