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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...

16

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...

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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...

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...

20

3 Analytics found

TitleComparing fractions and evaluating models that represent solutions, Clip 5 of 8: Small group work, comparing one half and one fourth

DescriptionIn clip 5, researcher Carolyn Maher then asked the students to compare one half and one quarter and determine the difference between the two. The students worked in their groups to build models that...

21

2 Analytics found

TitleReviewing rod relationships and the candy bar problem, Clip 4 of 6: Switching units, candy bar metaphor

DescriptionIn the fourth clip from this classroom session, researcher Carolyn Maher led a whole class discussion. She told the class that she gave each of the two adults who were in the room half a chocolate bar...

22

4 Analytics found

TitleComparing fractions, a whole class debate, Clip 5 of 5: The difference is one sixth

DescriptionIn the fifth and final clip from this session, researcher Carolyn Maher asked Jessica to re-explain her original model. Jessica restated her argument, saying that the model showed that one half was...

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2 Analytics found

TitleComparing fractions, a whole class debate, Clip 1 of 5: Is one fifth equal to two tenths?

DescriptionIn this clip at the start of the session, researcher Carolyn Maher placed an overhead on the projector and asked the students to read the problem that was written. She then asked what they remembered...

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TitleComparing fractions, a whole class debate, Clip 2 of 5: Remembering the candy bar

DescriptionIn the second clip of this classroom session, researcher Carolyn Maher reminded the students about the “Candy Bar” problem that they had discussed in an earlier session. She showed the students a...