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351
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TitleTaxicab problem, clip 1 of 5: the shortest distance between two points.
DescriptionIn the first of five clips, four twelfth grade students develop their initial strategies for approaching the Taxicab Problem. They determine the shortest distances to the three given points: A, B and...
352
Transcript
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TitleNight session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notation
DescriptionThis is the first of seven clips from the night session. In it, Jeff, Michael, and Romina discuss the coefficients of the binomial expansion, specifically (a+b) to the 10th power. In attempting to...
353
Transcript
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TitleAlan's Infinity
DescriptionIn this clip from 4th grade classroom study, students discuss the placement of numbers between zero and one on a number line. A debate ensues as to how many numbers exist between zero and one. Andrew...
354
Transcript
Student Work
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 5 of 6: Testing the geometric solution for the square of (a+b)
DescriptionIn the fifth clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn Maher asks...
355
Transcript
Student Work
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 2 of 6: How could one represent a square geometrically?
DescriptionIn the second clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie begins to explore the meaning...
356
Transcript
Student Work
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 3 of 6: Representing a square with side of length (a+b)
DescriptionIn the third clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn Maher asks...
357
Transcript
Student Work
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 6 of 6: The square of (a+b), how to imagine each piece?
DescriptionIn the final clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie explains to the researcher,...
358
Transcript
Student Work
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 4 of 6: Finding the area of the square with side (a+b).
DescriptionIn the fourth clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn Maher asks...
359
Transcript
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TitleA33, Fraction problems: Sharing and Number Lines (side view), Grade 4, October 29, 1993, raw footage
Date Created1993-10-29
DescriptionIn this raw footage, full-session video, Dr. Davis first introduces Gunnar Gjone as a visiting mathematics educator from Norway. The researcher, Carolyn Maher, begins the session by asking the...
360
Transcript
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TitleA32, Fraction problems: Sharing and Number Lines (front view), Grade 4, October 29, 1993, raw footage
Date Created1993-10-29
DescriptionIn this raw footage, full-session video, Dr. Davis first introduces Gunnar Gjone as a visiting mathematics educator from Norway. The researcher, Carolyn Maher, begins the session by asking the...