Results

131

TitleEarly algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 4 of 7: Beginning to explore volume as it compares to area

DescriptionIn the fourth clip in a series of seven from the third of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie refers to the Base-10...

132

Transcript

5 Analytics found

TitleTaxicab Problem, Clip 4 of 5: Explaining the Taxicab and Towers Isomorphism

DescriptionIn the fourth of five clips, the four twelfth grade students explain their conjecture that Pascal's Triangle can be used to predict the number of paths to any point in the Taxicab grid to Carolyn...

133

Transcript

2 Analytics found

TitleTaxicab problem, clip 2 of 5: investigating the number of shortest paths.

DescriptionIn the second of five clips, the four twelfth grade students employ various strategies to determine the number of shortest paths to the remaining two points, B and C, on the problem grid. Various...

134

Transcript

5 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...

135

Transcript

Student Work

TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 3 of 9: Making general sense of a(x + y) = ax + ay.

DescriptionIn the third clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, Stephanie, an 8th grade student, reviews her conclusions about...

136

Transcript

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, clip 6 of 9: Testing (x + y)(x + y) = x(x + y) + y(x + y) with numbers.

DescriptionIn the sixth clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, researcher Carolyn Maher asks Stephanie to justify her...

137

Transcript

Student Work

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 8 of 9: Building meaning for xy + yx.

DescriptionIn the eighth clip in a series of nine from the first of seven interviews focusing on early algebraic ideas about the binomial expansion, Stephanie explores possible meanings for x*y + y*x (with *...

138

Transcript

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 7 of 9: Wondering about how to combine terms.

DescriptionIn the seventh clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, Stephanie uses the distributive property to determine that...

139

Transcript

Student Work

4 Analytics found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 3 of 6: Representing a square with side of length (a+b)

DescriptionIn the third 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 Maher asks...

140

Transcript

Student Work

4 Analytics found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 4 of 6: Finding the area of the square with side (a+b).

DescriptionIn the fourth 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 Maher asks...