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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...
22
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...
23
DescriptionIn the fourth of six clips, the four students develop the structural isomorphism between adding an additional pizza topping choice and the addition rule for successive rows of Pascal’s Triangle and...
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DescriptionThe third of 6 clips focuses on the four 11th grade students as they map the numbers of pizza choices to the rows of Pascal’s Triangle and attempt to make sense of the addition rule with the...
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DescriptionIn the last of five clips from a single class session, the researcher reviews with the students how to place whole numbers on a number line. The students are then asked to decide about the placement...
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TitleFraction problems, Sharing and Number Lines, Clip 2 of 5: Equal shares, 3 candy bars for 25 students
DescriptionIn this second of five clips from a single class session, the students consider how 3 candy bars could have been equally distributed among their class of 25. The students had worked on this problem...
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DescriptionIn this clip, the first of five clips from a single class session, the researcher asks the students to review how they were able to show that 1/4 is larger than 1/9 by 5/36. The students had worked...
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DescriptionIn the fourth of five clips from a single class session, we see two students, Jessica and Andrew, placing unit fractions, ranging from 1/10 to 1/2, on a number line segment with endpoints labelled 0...
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TitleTowers with Stephanie and Dana, Clip 3 of 5: Checking for duplicates and discovering “cousin” towers
Date Created1990-10-11
DescriptionIn this clip, researcher Alice Alston asks Stephanie and Dana how many towers they have created. The two girls had been working on the Towers Problem introduced in the first clip in this series. After...
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Date Created1990-10-11
DescriptionIn this clip, Stephanie and Dana continue to work on the Towers Problem, introduced in the first clip in this series. Stephanie tells another group of children to double-check their towers for...
