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1
PUP Math: Gang of four
Harvard-Smithsonian Center for Astrophysics. - : Annenberg Learner, 2000
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2
Comparing fractions, a whole class debate, Clip 2 of 5: Remembering the candy bar
Maher, Carolyn Alexander (Researcher). - : Robert B. Davis Institute for Learning, 1993
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3
Fraction problems, Sharing and Number Lines, Clip 1 of 5: Which is more, 1/4th or 1/9th of a candy bar? How much more?
Maher, Carolyn Alexander (Researcher). - : Robert B. Davis Institute for learning, 1993
Abstract: In this clip, the first of five clips from a single class session, the researcher asks the students to review how they were able to show that 1/4 is larger than 1/9 by 5/36. The students had worked on this problem in the previous session when they were asked to share a candy bar equally among the students in their group. Two groups were composed of eight students while another was composed of nine students, and their task had been to determine how much more candy each person in the smaller group would receive than those in the larger group. After James explains his recollection of the solution, the researcher asks the students to recall and discuss their original conjecture which had been that the difference between 1/4 and 1/9 was 1/5. Brian and Meredith discuss the thinking which had led to this conclusion, and under the researcher's guidance the class discusses how addition over whole numbers seems to differ from addition over fractions. Problem statement: If the members of one group each received 1 and 1/4 pieces of candy and the members of a second group each receuved 1 and 1/9 pieces, who received more candy and how much more? What is the difference between 1/4 and 1/9? ; Transcript is also available. ; Robert B. Davis Institute for Learning. (1993). Fraction problems, Sharing and Number Lines, Clip 1 of 5: Which is more, 1/4th or 1/9th of a candy bar? How much more? . [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055288 ; Available in QuickTime streaming and downloadable Flash digital video files.
Keyword: 3-5; 4; Classroom; Classroom view; Communication; Comparing fractions; Connections; Cuisenaire rods; Direct reasoning; Fractions; Learning; Manipulatives (Education)--Case studies; Mathematics education; Measurement; Mixed; Number and operations; Presentation view; Problem solving; Psychology of--Case studies; Reasoning and proof; Referencing a previous problem; Representation; Representations; White
URL: http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055288
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4
Discovering equivalent fractions and introducing fraction notation, Clip 2 of 5: David and Meredith compare one half and two thirds
Martino, Amy Marie (Researcher); Maher, Carolyn Alexander (Researcher). - : Robert B. Davis Institute for Learning, 1993
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5
Comparing fractions and evaluating models that represent solutions, Clip 1 of 8: Writing assignment, reviewing solutions
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6
Reviewing rod relationships and the candy bar problem, Clip 3 of 6: What is the number name for red when the yellow and light green rod is two? A whole class discussion
Maher, Carolyn Alexander (Researcher). - : Robert B. Davis Institute for Learning, 1993
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7
Reviewing rod relationships and the candy bar problem, Clip 1 of 6: Whole class review of number name problems
Maher, Carolyn Alexander (Researcher). - : Robert B. Davis Institute for Learning, 1993
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8
PUP Math Brandon interview
Harvard-Smithsonian Center for Astrophysics. - : Annenberg Learner, 1993
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9
Fraction as number, an introduction, Clip 1 of 8: Assigning number names to rods
Maher, Carolyn Alexander (Researcher). - : Robert B. Davis Institute for Learning, 1993
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10
A30, Fraction problems: Sharing and number lines (Side View), Grade 4, November 1, 1993, raw footage
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11
A31, Fraction problems, Sharing and number lines (Overhead/Class view), Grade 4, November 1, 1993, raw footage
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12
Fractions, Grade 4, Clip 2 of 4: Additive vs. multiplicative reasoning
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13
Fraction problems, Sharing and number lines, Clip 3 of 3: Sharing strategies
Maher, Carolyn Alexander (Researcher); Phillips, Joan (Teacher). - : Robert B. Davis Institute for learning, 1993
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14
Comparing fractions and evaluating models that represent solutions, Clip 4 of 8: Comparing one half and one third, different number names for the white rod
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15
Reviewing rod relationships and the candy bar problem, Clip 5 of 6: Comparing one half and one third, part 1
Maher, Carolyn Alexander (Researcher). - : Robert B. Davis Institute for Learning, 1993
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16
Fraction as number, an introduction, Clip 3 of 8: Permanent color names and flexible number names for rods
Maher, Carolyn Alexander (Researcher). - : Robert B. Davis Institute for Learning, 1993
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17
Fraction problems, Sharing and number lines, Clip 1 of 3: Sharing candy bars, Introducing the problem
Maher, Carolyn Alexander (Researcher). - : Robert B. Davis Institute for learning, 1993
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