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3 Analytics found

TitleFractions, Grade 4, Clip 1 of 4: David's upper and lower bound argument

DescriptionDuring this clip, the students discuss a task that had been posed by Erik: If I call the blue rod one, what rod will I call one half? A lively discussion centering on the definition of one half...

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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...

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1 Analytic found

TitleFraction as number, an introduction, Clip 3 of 8: Permanent color names and flexible number names for rods

DescriptionIn the third of eight clips from this session, researcher Carolyn Maher asked the students what number name they would give the red rod if the green rod was called one. Beth said that the red rod...

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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...

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1 Analytic found

TitleFraction as number, an introduction, Clip 6 of 8: Problem posing for the class

DescriptionIn the sixth of eight clips from this session, researcher Carolyn Maher asked the students to work with their partners to come up with questions to challenge the class. Alan was first to present his...

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1 Analytic found

TitleFraction as number, an introduction, Clip 4 of 8: Establishing a unit for comparing length of rods

DescriptionIn the fourth of eight clips from this session, researcher Carolyn Maher mentioned that she had heard a student suggest that the red rod be called one if the dark green rod were called one. She asked...

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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...

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2 Analytics found

TitleReviewing rod relationships and the candy bar problem, Clip 3 of 6: What is the number name for red when the yellow and light green rod is two? A whole class discussion

DescriptionIn the third clip from this classroom session, during the whole class discussion, Sarah and Audra presented their solution to the class. Audra explained that they called the red rod one fourth when...

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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...

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TitleReviewing rod relationships and the candy bar problem, Clip 1 of 6: Whole class review of number name problems

DescriptionAt the start of the first clip, the researcher Carolyn Maher asked the students to solve tasks similar to the ones that they had worked on earlier in the week. She asked Audra to tell her what the...