31

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...

32

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...

33

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...

34

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...

35

1 Analytic found

TitleNight session, Pascal's identity, clip 3 of 7: further explorations of factorials and combinations

DescriptionThis is the third of seven clips from the night session. The four students (Ankur, Jeff, Michael, and Romina) investigate the reason for dividing n! by (n-x)! and x! when calculating “n choose...

36

1 Analytic found

TitleNight session, Pascal's identity, clip 2 of 7: making sense of factorial notation and "why you multiply"

DescriptionThis is the second of seven clips from the night session. In it, Jeff, Michael, and Romina, along with Ankur (who has just arrived), use the analogy they call “people on a line” to investigate...

37

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...

38

TitleComparing fractions and evaluating models that represent solutions, Clip 4 of 8: Comparing one half and one third, different number names for the white rod

DescriptionIn clip 4, researcher Carolyn Maher asked the class to determine the number name for the white rod in the first model that had been built, in which the orange and red train was called one. James,...

39

1 Analytic found

TitleDivision of Fractions, Clip 1 of 3: How Many One Twelfths are in One?

DescriptionAmy Martino introduced division of fractions by asking students to describe how many white rods equal an orange and red train. She then asked the students to name the white rod if the orange and red...

40

1 Analytic found

TitleIntroducing fraction equivalence and an exploration of fraction comparison, Clip 4 of 4: Finding the number name for the difference between one half and one third

Date Created1993

DescriptionDuring this small group activity, the students revisited the task: Which is larger, 1/2 or 1/3, and by how much? Some of the students attempted to solve the task using balance beams, but most reverted...