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B44, Interview with Brandon about the Towers and Pizza problem (work view), Grade 4, April 5, 1993, raw footage [video]. Retrieved from https://doi.org/doi:10.7282/T30K26QM

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TitleB44, Interview with Brandon about the Towers and Pizza problem (work view), Grade 4, April 5, 1993, raw footage
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 2014-04-27, c1993-04-05
Persistent URLhttps://doi.org/doi:10.7282/T30K26QM
DescriptionIn this task-based interview Brandon, a 10-year-old 4th grade boy, shares his ideas with the researcher, Amy Martino, about two problems that he had solved in earlier class sessions. In the first class session Brandon had worked with a partner on the following task: Your group has two colors of Unifix Cubes. Work together and make as many different towers four cubes high as is possible when selecting from two colors. The students were asked to develop a way to convince themselves and their classmates that their solution was complete and included no duplicates. In the second session students, again working with partners, were given the following problem: A local pizza shop has asked us to help design a form to keep track of certain pizza choices. They offer a cheese pizza with tomato sauce. A customer can then select from the following toppings: peppers, sausage, mushrooms and pepperoni. How many different choices for pizza does a customer have? Find a way to convince each other that you have accounted for all possibilities. When asked by the interviewer to reflect about how he had solved the Pizza Problem, Brandon reconstructed and explained the chart that he had developed in the earlier class session. When the researcher asked Brandon if this problem reminded him of any others, he referred to the Towers problem and then rebuilt his solution set of towers, compared the two solutions, and showed that the problems were equivalent in structure.This video focuses on his work. There is another view that focuses on the student.
Math ToolUnifix cubes
Math StrandFractions, Counting, Combinatorics
Math ProblemPizza, Towers
NCTM Grade Range3-5
NCTM Content StandardNumber and operations
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Reasoning by cases, Guessing and checking, Controlling for variables, Recognizing an isomorphism, Referencing a previous problem
Grade Level4
Student ParticipantsBrandon (student)
MediatorsMartino, Amy Marie (Researcher)
CorporateConover Road (Colts Neck, N.J.)
SettingClassroom, Classroom
Student GenderMale
Student EthnicityWhite
Camera ViewsWork 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 Captured1993-04-05
Local IdentifierB44-19930405-CNCR-WV-CLASS-GR4-CMB-T4TPZA-RAW
Related Publication
   Type: Excerpt or clip creation
   Label: Video clips created from video footage B44, Interview with Brandon about the Towers and Pizza problem (work view), Grade 4, April 5, 1993, raw footage
   Name: PUP Math Brandon interview