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TitleFraction problems, Sharing and Number Lines, Clip 1 of 5: Which is more, 1/4th or 1/9th of a candy bar? How much more?

DescriptionIn this clip, the first of five clips from a single class session, the researcher asks the students to review how they were able to show that 1/4 is larger than 1/9 by 5/36. The students had worked...

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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...

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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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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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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...

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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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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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TitleThe infinite number line, Clip 1 of 4: Naming points on the number line

DescriptionResearcher Carolyn Maher began the session in clip 1 by stating that the class was discussing rulers at the end of the prior session. The researcher pointed out that rulers may be constructed...

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4 Analytics found

TitleComparing fractions, a whole class debate, Clip 5 of 5: The difference is one sixth

DescriptionIn the fifth and final clip from this session, researcher Carolyn Maher asked Jessica to re-explain her original model. Jessica restated her argument, saying that the model showed that one half was...

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2 Analytics found

TitleComparing fractions, a whole class debate, Clip 1 of 5: Is one fifth equal to two tenths?

DescriptionIn this clip at the start of the session, researcher Carolyn Maher placed an overhead on the projector and asked the students to read the problem that was written. She then asked what they remembered...