10

TitleContinuing to explore fraction comparisons, Clip 3 of 7: Mark and Laura compare one half and three fourths

DescriptionIn the third clip, researcher Amy Martino then worked with Mark and Laura. Mark justified his solution using each model he built. The researcher asked Mark if he thought that a different model might...

11

TitleContinuing to explore fraction comparisons, Clip 1 of 7: Gregory and Danielle compare two thirds and one half

DescriptionIn the first clip a visitor worked with Danielle and Gregory on the second task of comparing two third and one half. Danielle showed her using the twelve-centimeter long model, that three fourths was...

12

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...

13

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...

16

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...

17

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...

18

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...

19

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...