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TitleB66,Combinatorics problem,Grade4,towers five tall,March 6,1992,Workview-Raw
Date Created1992-03-06
DescriptionThis summary has been retrieved from Sran (2010): “During this third individual interview, Milin discovered his “family” strategy. This helped him with the global organization of his towers of...
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Transcript1
Student Work
TitleB80, Counting tasks: Pizza problems with four and five toppings with isomorphism solution (work view), Grade 11, March 1, 1999, raw footage
Date Created1999-03-01
DescriptionThis raw footage features four eleventh-grade students - Amy Lynn, Robert, Shelly, and Stephanie - engaged in a challenging problem-solving experience with a combinatorics task referred to as the...
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Transcript
Student Work
TitleB81, Counting tasks: Pizza problems with four and five toppings with isomorphism solution (people view), Grade 11, March 1, 1999, raw footage
Date Created1999-03-01
DescriptionThis raw footage features four eleventh-grade students - Amy Lynn, Robert, Shelly, and Stephanie - engaged in a challenging problem-solving experience with a combinatorics task referred to as the...
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PDF-1
TitleImplications of the work of Popper, Polya, and Lakatos for a model of mathematics instruction
Date Created1969
DescriptionThe purpose of the study was to describe the instructional applications of a philosophically based model of a mathematical inquiry to the teaching of mathematics. The first phase of the study...
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Transcript
Student Work
TitleFractions, Grade 4, Clip 3 of 4: Multiple models to represent one half
DescriptionResearcher Amy Martino led a whole class discussion that focused on solutions to the task: I'm going to call the orange and light green together one…Can you find a rod that has the number name one...
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Transcript
Student Work
TitlePizza problems with four and five toppings, clip 5 of 6: Explaining solutions
DescriptionIn this fifth of six clips, four 11th grade students reconsider Pascal's Triangle as it relates to the Pizza Problem and connect this problem with the Towers Problem. As the students summarize their...
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Student Work
TitlePizza problems with four and five toppings, clip 2 of 6: Finding an answer
DescriptionIn the second of 6 clips, the four 11th grade students generate an exhaustive list of pizza options choosing from 4 toppings. They recognize that the 16 choices correspond to the fourth row of...
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Transcript
Student Work
TitleFractions, Grade 4, Clip 4 of 4: Designing a new rod set
DescriptionResearcher Amy Martino posed two related tasks to the students. In this clip, the students work on designing a rod that can be called one half when the blue rod is called one. Erik and Alan discuss...
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Student Work
TitleFractions, Grade 4, Clip 1 of 4: David's upper and lower bound argument
DescriptionDuring this clip, the students discuss a task that had been posed by Erik: If I call the blue rod one, what rod will I call one half? A lively discussion centering on the definition of one half...
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Transcript
Student Work
TitleFractions, Grade 4, Clip 2 of 4: Additive vs. multiplicative reasoning
DescriptionResearcher Amy Martino posed two related tasks to the students that highlighted the difference between additive and multiplicative reasoning. First, she asked the students: If we call the orange...