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TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes.

DescriptionIn the fourth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie and researcher Carolyn Maher investigate how to numerically represent the number of Unifix towers for...

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1 Analytic found

TitleDivision of Fractions, Clip 2 of 3: Meredith Writes a Number Sentence

DescriptionMeredith works with her partner, Michael, as they attempt to write a number sentence that describes how many one sixths are in one. After some discussion with Michael and Amy Martino about the correct...

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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...

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1 Analytic found

TitleFractions, Grade 4, Clip 3 of 4: Multiple models to represent one half

DescriptionResearcher Amy Martino led a whole class discussion that focused on solutions to the task: I'm going to call the orange and light green together one…Can you find a rod that has the number name one...

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2 Analytics found

TitlePizza problem selecting from four toppings, Clip 1 of 1: Brandon and Colin solve the problem and compare their solutions

Date Created2014-04-27

DescriptionIn this problem solving session two students, Brandon and Colin, are working to solve the pizza problem when selecting from four toppings [problem statement is below]. Brandon and Colin both organize...

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TitleShirts and Pants with Jamie and Michael, Clip 2 of 3: Recording a narrative solution

Date Created1990-10-11

DescriptionIn this clip, Jamie begins recording on a large sheet her solution to the Shirts and Pants Problem introduced in the previous clip in this series. As Jamie records her solution, researcher Alice...

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2 Analytics found

TitleStephanie Grade 3 Towers interview excerpts

Date Created1990-10-11

DescriptionIn this edited clip, Stephanie answers questions from Researcher Amy Martino about her problem solving on the three-tall selecting from two colors towers problem. Stephanie explains how she used her...

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TitleDiscovering equivalent fractions and introducing fraction notation, Clip 3 of 5: Alan and Erik compare one half and two thirds

DescriptionIn the third clip, Alan and Erik worked together on the task: Which is larger two thirds or one half and by how much? Alan first built a model using the dark green rod as one, and the two concluded...

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3 Analytics found

TitlePizza problems with four and five toppings, clip 2 of 6: Finding an answer

DescriptionIn the second of 6 clips, the four 11th grade students generate an exhaustive list of pizza options choosing from 4 toppings. They recognize that the 16 choices correspond to the fourth row of...

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2 Analytics found

TitlePizza problems with four and five toppings, clip 4 of 6: Justifying the isomorphism

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...