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TitleDiscovering equivalent fractions and introducing fraction notation, Clip 1 of 5: Boats and fish, a conversation about building models

DescriptionIn the first clip, researcher Carolyn Maher began the session with a discussion about a model that Mark had made for another class. The model was comprised of a boat, a fish, and two children. The...

12

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

TitleBuilding large models to show equivalence, an exploration, Clip 1 of 4: Is there a larger model?

DescriptionDuring this session, researcher Carolyn Maher provided the students an opportunity to revisit the task that they had been introduced to during the previous session: Which is larger, two thirds or...

14

1 Analytic found

TitleBuilding large models to show equivalence, a generalization, Clip 1 of 3: Finding the smallest model

DescriptionAt the start of the session, researcher Carolyn Maher asked the students if they remember working on comparing two thirds and three quarters. She mentioned that she had seen students build more than...

15

1 Analytic found

TitleBuilding large models to show equivalence, a generalization, Clip 3 of 3: Generating multiple models by doubling

DescriptionIn the third clip researcher Carolyn Maher asked David to share the theory that he had formulated with the class. David, with some assistance from Erik, said that Meredith had originally built a model...

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1 Analytic found

TitleBuilding large models to show equivalence, an exploration, Clip 3 of 4: Erik justifies a train model for one third

DescriptionIn the third clip David, Meredith, Erik, and Alan worked to build models on the floor using rods. David built a model to test his conjecture, while Erik continued working on the thirty-six centimeter...

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TitleBuilding large models to show equivalence, a generalization, Clip 2 of 3: Brian's conjecture

DescriptionIn the second clip, researcher Carolyn Maher asked the students what the model that was next in size would look like. Brian said that it would equal the length of twenty-four white rods. The...

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3 Analytics found

TitleContinuing to explore fraction comparisons, Clip 4 of 7: Michael and Brian find four models to compare one half and three fourths

DescriptionIn the fourth clip Michael and Brian worked together to compare one half and three fourths. Michael built a model of an orange and red train, two dark green rods, and four light green rods. He then...

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2 Analytics found

TitleDiscovering equivalent fractions and introducing fraction notation, Clip 5 of 5: Compare one half and two thirds, establishing equivalence

DescriptionIn the fifth clip, researcher Carolyn Maher called the class together. At the overhead, Erin, Jackie, and Jessica had built the six and twelve centimeter models. The researcher asked the class to...

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TitleBuilding large models to show equivalence, a generalization, Clip 1 of 3: Finding the smallest model

DescriptionAt the start of the session, researcher Carolyn Maher asked the students if they remember working on comparing two thirds and three quarters. She mentioned that she had seen students build more than...