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Extending the Doubling Conjecture
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Extending the Doubling Conjecture. Retrieved from https://doi.org/doi:10.7282/T3RR21CM

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TitleExtending the Doubling Conjecture
NameUptegrove, Elizabeth (Creator); Maher, Carolyn (Publisher)
Date Created2016-06-28T22:31:25-0400
Other Date2016-07-11T10:16:45-0400 (modified)
Other Date2016-07-11T10:20:34-0400 (published)
DescriptionIn the previous day’s session, students conjectured that, once they had a model for comparing the fractions 2/3 and 3/4, it was possible to build another model twice the size of that original model.

In this session, Alan uses the doubling conjecture to build three models to compare 1/2 and 2/5. The first model uses one orange rod to represent 1; the second uses two orange rods to represent 1; the third model uses four orange rods to represent 1. Alan conjectures that adding four orange rods to his largest model would result in a very large model that will also work.


This analytic is from raw video A73, October 8, 1993.
GenreStudent model building, Reasoning, Representation
Persistent URLhttps://doi.org/doi:10.7282/T3RR21CM
CollectionRBDIL Analytics
RightsThe author owns the copyright to this work.
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