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1 Analytic found

TitleEarly algebra, investigating linear functions, series 5 of 7, ladder problem, Clip 6 of 7: How many rods for a ladder with 125 steps?

DescriptionIn the sixth of seven clips from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy, continues to apply his method for solving specific examples of the Ladder...

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TitleEarly algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 5 of 5: Ariel describing his 8th grade math class

Date Created2007-05-17

DescriptionIn the last of five clips from a follow-up interview about his participation in Informal Mathematics Learning (IML), an after-school enrichment program, Ariel, an 8th grade student in an urban middle...

23

4 Analytics found

TitleBuilding Towers, Selecting from two colors for Guess My Tower, Clip 2 of 5: Does the Number Double?

Date Created1993-02-26

DescriptionIn the 2nd of 5 clips, Stephanie and Matt, two fifth grade students are attempting to find all possible towers four cubes tall when selecting from two colors as the sample space for Question 2 of the...

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3 Analytics found

TitleBuilding Towers, Selecting from two colors for Guess My Tower, Clip 4 of 5: Stephanie and Matt Rebuild the Argument

Date Created1993-02-26

DescriptionIn clip 4 of 5, fifth grade student Matt shares his understanding of Milin’s inductive argument with Robert and Michelle R. who, up to this point, found twelve, four-tall towers. Stephanie...

25

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...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 5 of 7: Testing the partial symbolic expansion of the cube of (a+b) for a=3 and b=7.

DescriptionIn the fifth 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 is asked by researcher...

27

2 Analytics found

TitlePizza problems with four and five toppings, clip 6 of 6: Connecting pizzas and towers

DescriptionIn the final clip the students generalize the exponential structure of the Pizza Problem and describe the relationship between two consecutive rows of Pascal’s Triangle with reference both to the...

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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...

29

3 Analytics found

TitlePUP Math Towers of Hanoi

Date Created1993-10-29

DescriptionThis video comes from The Private Universe Project in Mathematics and includes excerpts from interviews as well as narrative voice-over, interspersed with footage of students engaged with problem...

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4 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...