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1 Analytic found

TitleFractions, Grade 4, Clip 2 of 4: Additive vs. multiplicative reasoning

DescriptionResearcher Amy Martino posed two related tasks to the students that highlighted the difference between additive and multiplicative reasoning. First, she asked the students: If we call the orange...

20

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...

21

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...

22

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...

23

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...

24

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...

25

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...

26

TitleThe infinite number line, Clip 4 of 4: Placing fractions and mixed numbers on the number line

DescriptionIn the fourth clip researcher Carolyn Maher asked the students to each come up and take a turn placing some fractions on the number line. She called on Gregory to come up first. He placed a one half...

27

1 Analytic found

TitleContinuing to explore fraction comparisons, Clip 5 of 7: Michael and Brian compare two third and three fourths

DescriptionIn the fifth clip Michael and Brian extended their model using the orange and red train to show thirds and twelfths in addition to fourths. They showed that the difference between two thirds and three...

28

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...