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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...

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3 Analytics found

TitleEarly algebra, investigating linear functions, series 5 of 7, ladder problem, Clip 1 of 7: How many rods for 10 step and 100 step ladders?

DescriptionIn the first of seven clips from an after-school enrichment session in an urban middle school, two 7th grade boys, Ariel and James, are exploring ideas about functions. Researcher John Francisco...

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1 Analytic found

TitleEarly algebra, investigating linear functions, series 5 of 7, ladder problem, Clip 7 of 7: Combining a six step ladder with a two step ladder

DescriptionIn the final clip of the series of seven from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy, revisits his method for solving a specific example of the Ladder...

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1 Analytic found

TitleEarly algebra, investigating linear functions, series 5 of 7, ladder problem, Clip 5 of 7: Ariel revisits his solution for the 120 step ladder

DescriptionIn the fifth of seven clips from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy, continues his work on the Ladder Problem. Researcher John Francisco challenges...

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1 Analytic found

TitleEarly algebra, investigating linear functions, series 5 of 7, ladder problem, Clip 4 of 7: Predicting the number of rods for ladders with 80 and then 120 steps

DescriptionIn the fourth of seven clips from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy, continues his exploration of ideas about linear functions. Researcher John...

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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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2 Analytics found

TitleEarly algebra, investigating linear functions, series 5 of 7, ladder problem, Clip 2 of 7: Predicting the rods for odd and even numbers of steps

DescriptionIn the second of seven clips from an after-school enrichment session in an urban middle school, two 7th grade boys, Ariel and James, are exploring ideas about linear functions. In responding to...

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2 Analytics found

TitleEarly algebra, investigating linear functions, series 5 of 7,ladder problem, Clip 3 of 7: Recording the procedures for ladders with odd and even numbers of steps

DescriptionIn the third of seven clips from an after-school enrichment session in an urban middle school, two 7th grade boys, Ariel and James, are exploring ideas about linear functions. When Ariel explains his...

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1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 4 of 11: Developing the correspondence among towers, selecting from two colors, Pascal's Triangle, and the symbolic algebraic expansions of (a+b) squared and (a+b) cubed

DescriptionIn the fourth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie remembers that she had figured out the expanded algebraic expressions for (a+b) for powers up to 6. ...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 5 of 11: Developing the correspondence between towers 4-cubes tall, selecting from two colors, Pascal's Triangle and the symbolic algebraic expansion of (a+b) to the 4th power

DescriptionIn the fifth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie responds to questions from researchers Carolyn Maher and Robert Speiser about the correspondence...