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241
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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. ...
242
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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...
243
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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...
244
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Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 11 of 11:
Extending ideas about generating towers 4-cubes tall selecting from green and blue cubes to towers 5-cubes tall with exactly 1 green cube and connecting to Fermat and Pascal
DescriptionIn the final clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is challenged by researchers Carolyn Maher and Robert Speiser to extend her ideas about how to build...
245
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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...
246
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Student Work
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TitleEarly algebra ideas involving one variable, Clip 4 of 11: Working on equations two and three
DescriptionIn the fourth of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, the students work in small groups to find and record solutions for the first two of a series of...
247
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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...
248
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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...
249
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Student Work
TitleEarly algebra ideas involving one variable, Clip 5 of 11: Solving equation four
DescriptionIn the fifth of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, the students work together to find the truth set for equation four on the worksheet recorded...
250
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Student Work
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...