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16
TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 7 of 7: Finding a general direct "rule" for the number of Unifix-cube towers, selecting from two colors, for any height.
DescriptionIn the final clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie responds to questions from researcher Carolyn Maher about problems that she and her classmates had...
17
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...
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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. ...
19
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...
20
Analytic icon 2 Analytics found
TitleEarly algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 2 of 5: Ariel solving the Ladder problem
Date Created2007-05-17
DescriptionIn the second 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...
21
Analytic icon 1 Analytic found
TitleEarly algebra, investigating linear functions, series 1 of 7, Guess My Rule introduction and Ariel and James with problems 1-3, Clip 3 of 8: Solving Guess My Rule problems 1 and 2
Date Created2005-11-02
DescriptionIn the third of eight clips in Series One of Exploring Linear Functions, the students return to their seats and begin to work on a series of Guess My Rule Truth Tables presented on worksheets with X...
22
TitleEarly algebra, investigating linear functions, series 1 of 7, Guess My Rule introduction and Ariel and James with problems 1-3, Clip 7 of 8: Preparing to present Guess My Rule ideas
Date Created2005-11-03
DescriptionThe seventh of eight clips in Series One of Exploring Linear Functions occurs during the students' second day exploring Guess My Rule problems. Researcher Allison McCulloch asks Ariel to prepare a...
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TitleEarly algebra, investigating linear functions, series 1 of 7, Guess My Rule introduction and Ariel and James with problems 1-3, Clip 8 of 8: James' rule and the order of operations
Date Created2005-11-03
DescriptionThe last clip of eight in Series One of Exploring Linear Functions occurs during the students' second day exploring Guess My Rule problems. Researcher Iuliana Radu is observing as James prepares the...
24
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...
25
TitleEarly algebra, investigating linear functions, series 1 of 7, Guess My Rule introduction and Ariel and James with problems 1-3, Clip 5 of 8: Comparing strategies for problem 3 when x = 25
Date Created2005-11-02
DescriptionIn the fifth of eight clips in Series One of Exploring Linear Functions, researcher Evelyn Hanna asks James and Ariel to figure out the Y value for Guess My Rule problem 3 if the value of X is...