23

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...

24

1 Analytic found

TitleThe infinite number line, Clip 3 of 4: How many numbers between 0 and 1?

DescriptionIn the third clip researcher Carolyn Maher stated that similarly to the number line going on and on forever, so does the numbers in between zero and one. The students then explored dividing the line...

25

2 Analytics found

TitleNumber Line Models and Placing Numbers on the Big Number Line, Clip 2 of 4: Discussion of Meredith’s Number Line Models

Date Created1993

DescriptionThis is the second in a series of four clips from this session. The students discuss Meredith’s placement of fractions on a number line. Erik conjectures that a person would be confused with all...

26

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...

27

4 Analytics found

TitleFraction problems, Sharing and Number Lines, Clip 3 of 5: Comparing unit fractions

DescriptionIn a whole-class discussion in the third of five clips from a single session, students are asked to compare and order 1/2, 1/3, 1/4 and 1/5. David shares his solution that is based on building models...

28

1 Analytic found

TitleFraction problems, Sharing and number lines, Clip 3 of 3: Sharing strategies

DescriptionResearcher Carolyn Maher leads a whole class discussion after the students' exploration of the problem: Which is larger, one fourth or one ninth, and by how much? Several students described their...

29

1 Analytic found

TitleFraction as number, an introduction, Clip 2 of 8: Students model fraction problems

DescriptionIn the second of eight clips from this session, researcher Carolyn Maher said, “Someone told me that the red rod is half as long as the yellow rod. What do you think?" Danielle responded that the...

30

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...

31

2 Analytics found

TitleNumber Line Models and Placing Numbers on the Big Number Line, Clip 1 of 4: Meredith’s Number Line Models

Date Created1993

DescriptionThis is the first in a series of four clips from this session, which begins with the researcher, Carolyn Maher, placing a transparency with Meredith's number line models on the overhead projector. ...

32

2 Analytics found

TitleReviewing rod relationships and the candy bar problem, Clip 5 of 6: Comparing one half and one third, part 1

DescriptionIn the fifth clip from this classroom session, researcher Carolyn Maher asked the class to compare one half and one third and determine which is larger and by how much. The class worked on this...