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All fields Title Creator / Publisher Keyword Year AND OR AND NOT All fields Title Creator / Publisher Keyword Year AND OR AND NOT All fields Title Creator / Publisher Keyword Year AND OR AND NOT All fields Title Creator / Publisher Keyword Year AND OR AND NOT All fields Title Creator / Publisher Keyword Year Sort by creator [A → Z]' creator [Z → A]' publishing year ↑ (asc)' publishing year ↓ (desc)' title [A → Z]' title [Z → A]' Simple Search Hits 1 – 19 of 19 1 PUP Math: Gang of four Harvard-Smithsonian Center for Astrophysics. - : Annenberg Learner, 2000 BASE Show details 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 BASE Show details 3 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 BASE Show details 4 Comparing fractions and evaluating models that represent solutions, Clip 1 of 8: Writing assignment, reviewing solutions Maher, Carolyn Alexander (Researcher); Davis, Robert B. (Robert Benjamin) (Researcher); Martino, Amy Marie (Researcher). - : Robert B. Davis Institute for Learning, 1993 BASE Show details 5 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 BASE Show details 6 Introducing fraction equivalence and an exploration of fraction comparison, Clip 3 of 4: Proportional Reasoning Continued Martino, Amy (Researcher); Phillips, Joan (Teacher). - : Robert B. Davis Institute for learning, 1993 BASE Show details 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 BASE Show details 8 PUP Math Brandon interview Harvard-Smithsonian Center for Astrophysics. - : Annenberg Learner, 1993 BASE Show details 9 Introducing fraction equivalence and an exploration of fraction comparison, Clip 4 of 4: Finding the number name for the difference between one half and one third Martino, Amy (Researcher); Phillips, Joan (Teacher). - : Robert B. Davis Institute for learning, 1993 BASE Show details 10 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 BASE Show details 11 A30, Fraction problems: Sharing and number lines (Side View), Grade 4, November 1, 1993, raw footage Maher, Carolyn Alexander (Researcher); Davis, Robert B. (Robert Benjamin), 1926- (Researcher); Gjone, Gunnar (Researcher). - 1993 BASE Show details 12 Introducing Fraction Equivalence and an Exploration of Fraction Comparison, Clip 2 of 4: An introduction to proportional reasoning. Martino, Amy (Researcher); Phillips, Joan (Teacher). - : Robert B. Davis Institute for learning, 1993 BASE Show details 13 A31, Fraction problems, Sharing and number lines (Overhead/Class view), Grade 4, November 1, 1993, raw footage Maher, Carolyn Alexander (Researcher); Davis, Robert B. (Robert Benjamin), 1926- (Researcher); Gjone, Gunnar (Researcher). - 1993 BASE Show details 14 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 BASE Show details 15 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 Maher, Carolyn Alexander (Researcher); Davis, Robert B. (Robert Benjamin) (Researcher). - : Robert B. Davis Institute for Learning, 1993 BASE Show details 16 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 BASE Show details 17 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 BASE Show details 18 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 BASE Show details 19 PUP Math Towers of Hanoi Harvard-Smithsonian Center for Astrophysics. - : Annenberg Learner, 1993 Abstract: This video comes from The Private Universe Project in Mathematics and includes excerpts from interviews as well as narrative voice-over, interspersed with footage of students engaged with problem solving. A class of Kenilworth sixth graders investigate the Tower of Hanoi problem that was posed by researcher, Robert B. Davis. He tells the students about an order of monks in the city of Hanoi, who were concerned about when the world was going to end, and so they made a puzzle like this which has 100 disks in it [illustrates a model of the discs]. Davis explains how the monks were very focused on working to solve that puzzle. When they have it done, that is supposed to be when the world ends. The students were challenged to find out when the world would end and began by moving discs of the tower model according to the rules described and clarified by the researcher. The students speculate as to the outcome and then explore cases for the number of moves required for towers built with certain number of rings. They record, share and check their findings. Inserted in the clip is a description of the solution to the problem by mathematician Fern Hunt. The episode returns to show the students' problem solving. Working from simpler cases, they notice a pattern for the number of moves up to five rings that is shared by Michelle as 31; for six rings, by Brian as 63; and for 10 rings by Ankur as 1023. The students offer conjecture for the number of moves for 100 rings and offer as a conjecture 2 to the 100th power as a solution for the number of moves. In dealing with larger moves, the students struggle with the algebra of exponents. Inserted in the clip is an interview that took place seven years later. It was conducted by mathematician Gary Davis and former student, Matt, who viewed the video, revisited the problem, and reflected on the students’ problem solving. Matt comments on the remainder of the video that shows the exploration of the students guided by researcher Robert B. Davis. ; Transcript is also available. ; Smithsonian Astrophysical Observatory. (1993).PUP Math Towers of Hanoi [video]. ; Resource vailable in QuickTime and Flash digital video formats. Keyword: 6; 6-8; Algebra; Classroom; Communication; Connections; Considering a simpler problem; Critical thinking in children--New Jersey--Case studies; Direct reasoning; Function tables; Learning; Manipulatives (Education)--Case studies; Mathematics education; Mixed; Number and operations; Physical models; Problem solving; Psychology of--Case studies; Public school; Reasoning and proof; Recognizing a pattern; Recursive reasoning; Representation; Representations; Student view; Teacher view; Towers of Hanoi; Towers of Hanoi (game); Work view URL: http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000062052 BASE Hide details

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