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TitleThe infinite number line, Clip 2 of 4: Placing integers on the number line

DescriptionIn the second clip researcher Carolyn Maher stated that the class would be studying pieces of the number line. She referred to the homework from the prior session and stated that the class was...

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2 Analytics found

TitleFraction as number, an introduction, Clip 7 of 8: Erik and Alan pose problems as partners

DescriptionIn clip seven, researcher Carolyn Maher told the students to use the remaining class time to challenge their partners with problems using the rods. Erik asked Alan, “If a light green was one third,...

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5 Analytics found

TitleComparing fractions, a whole class debate, Clip 4 of 5: An argument based on a different model

DescriptionIn the fourth clip from this session, Jessica reported that Jackie and Kelly’s argument was different than their original argument in which they had showed the difference between one half and one...

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2 Analytics found

TitleComparing fractions and evaluating models that represent solutions, Clip 2 of 8: Comparing one half and one third, Jessica and Erik

DescriptionIn the second clip from this session, researcher Carolyn Maher asked the students if they felt confident to justify their solution to the problem: Which is larger, one half or one third, and by how...

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2 Analytics found

TitleContinuing to explore fraction comparisons, Clip 6 of 7: Erik and Alan compare one half and three fourths

DescriptionIn the sixth clip Erik and Alan worked on the task: Which is larger, one half or three fourths. Erik showed, using the orange and red train as one, that the difference between the two fractions was...

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1 Analytic found

TitleRevisiting construction of large models to compare fractions, Clip 2 of 5: Alan finds the difference between one half and two fifths

DescriptionIn the second of five clips from this classroom session, Alan worked alone at his desk on a new task that the researcher, Amy Martino, had posed. He built models to find the difference between one...

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1 Analytic found

TitleRevisiting construction of large models to compare fractions, Clip 4 of 5: Alan reasons about the third model he constructed

DescriptionIn the fourth of five clips from this classroom session, the researcher, Amy Martino, returned to Alan and questioned him about the third model that he had built for finding the difference between one...

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1 Analytic found

TitleContinuing to explore fraction comparisons, Clip 7 of 7: Erik and Alan compare two third and three fourths

DescriptionIn the seventh clip, Erik and Alan worked to extend their model using the orange and red train to show fourths and halves. They concluded that three fourths was larger than two thirds by one twelfth....

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1 Analytic found

TitleContinuing to explore fraction comparisons, Clip 5 of 7: Michael and Brian compare two third and three fourths

DescriptionIn the fifth clip Michael and Brian extended their model using the orange and red train to show thirds and twelfths in addition to fourths. They showed that the difference between two thirds and three...

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TitleBuilding large models to show equivalence, an exploration, Clip 2 of 4: A doubling conjecture

DescriptionIn the second clip, David and Meredith worked on building models to represent their solution to the problem: Which is larger, two thirds or three quarters, and by how much. David first built two...