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5 Analytics found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 1 of 6: Is the square of the quantity (a+b) the same as (a squared) + (b squared)?

DescriptionIn the first clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn A. Maher, asks...

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1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 4 of 9: Building the first layer of (a+b) cubed.

DescriptionIn the fourth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, researcher Carolyn Maher challenges...

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1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 8 of 9: Issues related to a physical model for (a+b) cubed and the volume of the model for a=1 and b=2.

DescriptionIn the eighth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie revisits her physical model...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 3 of 9: Describing the volume of (a+b) cubed using math manipulatives.

DescriptionIn the third clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, researcher Carolyn Maher presents...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 7 of 9: Explaining each piece of the geometric model of (a+b) cubed as it relates to the terms in the algebraic expansion.

DescriptionIn the seventh clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie explains how each piece of...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 9 of 9: Hypothesizing about the algebraic terms in the expansion of (a+b) to the fourth power.

DescriptionIn the final clip in the series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, researcher Carolyn Maher asks...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 6 of 9: Explaining the algebraic and geometric representations of (a+b) squared and the algebraic expansion of (a+b) cubed.

DescriptionIn the sixth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie explains her algebraic and...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 5 of 9: Building (a+b) cubed and identifying the pieces.

DescriptionIn the fifth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie uses the small and large cube...

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3 Analytics found

TitleTaxicab problem, clip 1 of 5: the shortest distance between two points.

DescriptionIn the first of five clips, four twelfth grade students develop their initial strategies for approaching the Taxicab Problem. They determine the shortest distances to the three given points: A, B and...

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2 Analytics found

TitleTaxicab problem, clip 5 of 5: extending the taxicab correspondence to pizza with toppings and binary notation

DescriptionIn the fifth of five clips, Romina, Brian and Michael, describe patterns and relationships identified in their solution to the Taxicab problem to Arthur Powell, a second researcher. The students...