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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...

2

1 Analytic found

TitleDiscovering equivalent fractions and introducing fraction notation, Clip 2 of 5: David and Meredith compare one half and two thirds

DescriptionIn the second clip, researcher Carolyn Maher asked the students to build a model to show which is bigger, two thirds or one half, and by how much. The students worked with their partners to solve the...

3

TitleDiscovering equivalent fractions and introducing fraction notation, Clip 4 of 5: Danielle and Gregory compare one half and two thirds

DescriptionIn the fourth clip, researcher Alice Alston worked with Gregory and Danielle on the task: Which is larger two thirds or one half and by how much? Danielle built two models, one using the dark green...

4

TitleDiscovering equivalent fractions and introducing fraction notation, Clip 3 of 5: Alan and Erik compare one half and two thirds

DescriptionIn the third clip, Alan and Erik worked together on the task: Which is larger two thirds or one half and by how much? Alan first built a model using the dark green rod as one, and the two concluded...

5

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...

6

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...

7

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...

8

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,...

9

1 Analytic found

TitleFraction as number, an introduction, Clip 5 of 8: What is the unit?

DescriptionIn the fifth of eight clips from this session, researcher Carolyn Maher asked the class to give a number name for the red rod if the brown rod was called one. Danielle explained that it would be...

10

TitleFraction as number, an introduction, Clip 8 of 8: Emphasizing precise language in problem posing

DescriptionDuring the eighth and final clip from this session, Meredith and Sarah are working together to make up problems for one another to solve with the rods. Meredith asks Sarah "If you called one...