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91
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TitleEarly algebra ideas involving two variables, Clip 5 of 18: Recap of day 1, moving from one to two variables
DescriptionIn the fifth of 18 clips from Early Algebra Ideas Involving Two Variables on the second of two consecutive classroom sessions with the class of 6th grade students, Researcher Robert B. Davis revisits...
92
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TitleEarly algebra ideas involving two variables, Clip 1 of 18: Open sentences that can be made true or false with legal or illegal substitutions
DescriptionThis first of 18 clips focusing on Early Algebra Ideas Involving Two Variables occurred toward the end of the first of two consecutive 6th grade class sessions. Researcher, Robert B. Davis, builds on...
93
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Student Work
TitleEarly algebra ideas involving two variables, Clip 6 of 18: Work on guess my rule problems 2 through 5
DescriptionIn the sixth of 18 clips from Early Algebra Ideas Involving Two Variables on the second of two consecutive classroom sessions with the class of 6th grade students, the students work together to find...
94
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Student Work
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TitleEarly algebra ideas involving two variables, Clip 4 of 18: Scientists and the nature of secrets
DescriptionThe fourth of 18 clips from Early Algebra Ideas Involving Two Variables begins the second of two consecutive classroom sessions with the class of 6th grade students. Researcher Robert B. Davis opens...
95
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Student Work
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 3 of 11: Comparing towers, selecting from two colors, built inductively and corresponding to the addition rule of Pascal's Triangle
DescriptionIn the third clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie continues a discussion of ideas about binomial expansion with researchers Carolyn Maher and Robert...
96
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Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 6 of 7: Making sense of the Pascal Triangle addition rule with Unifix cube towers .
DescriptionIn the sixth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie first revisits her investigation of the number of duplicates that would be produced when building...
97
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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...
98
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Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 5 of 7: Developing numerical representations for each case for the number of Unifix-cube towers 5-tall and 6-tall selecting from red and yellow cubes.
DescriptionIn the fifth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie and researcher Carolyn Maher extend their earlier investigation of how to represent the number of...
99
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Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes.
DescriptionIn the fourth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie and researcher Carolyn Maher investigate how to numerically represent the number of Unifix towers for...
100
Transcript
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. ...