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321
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 9 of 11: Beginning to generalize mathematical expressions to generate cases for towers 4-cubes tall selecting from green and blue cubes
Descriptionn the ninth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is asked by researchers Carolyn Maher and Robert Speiser to describe mathematically how she has...
322
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Student Work
Analytic icon 1 Analytic found
TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 1 of 11: Stephanie revisits combinatorics notation for building towers
DescriptionIn the first clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie revisits her earlier exploration of particular algebraic ideas about binomial expansion with...
323
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Student Work
Analytic icon 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. ...
324
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Student Work
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...
325
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Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 2 of 11: Stephanie rebuilds Unifix towers 1-cube, 2-cubes, 3-cubes and 4-cubes tall, selecting from two colors
DescriptionIn the second clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie continues her exploration of early algebraic ideas about binomial expansion with researchers Carolyn...
326
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Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 8 of 11: Working backwards from towers 4-cubes tall selecting from blue and green cubes, with exactly two green cubes, to towers with exactly one green cube
DescriptionIn the eighth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is asked by researchers Carolyn Maher and Robert Speiser to revisit her set of six Unifix cube towers...
327
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Student Work
TitleEarly algebra ideas involving one variable, Clip 2 of 11: Introducing integers with pebbles in the bag
DescriptionIn the second of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, the researcher, Robert B. Davis, models adding positive and negative integers to a class of 6th...
328
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Student Work
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TitleEarly algebra ideas involving one variable, Clip 3 of 11: Introducing quadratic equations and solving equation one
DescriptionIn the third of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, researcher Robert B. Davis builds on the idea about equations with one variable and integers...
329
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Student Work
Analytic icon 3 Analytics found
TitleEarly algebra ideas involving one variable, Clip 1 of 11: Open sentences that can be made True or False with Legal or Illegal substitutions
DescriptionIn the first of eleven clips from the first day of the Early Algebra Ideas sessions, the researcher, Robert B. Davis, introduces ideas about algebraic equations with one variable and truth sets to a...
330
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Student Work
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TitleEarly algebra ideas involving one variable, Clip 10 of 11: Owning the secrets
DescriptionIn the tenth of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, all but three of the students claim to know the general "secrets" for finding values that make a...