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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 Fractions, Grade 4, Clip 3 of 4: Multiple models to represent one half Martino, Amy (Researcher); Phillips, Joan (Teacher). - : Robert B. Davis Institute for learning, 1993 BASE Show details 9 PUP Math Brandon interview Harvard-Smithsonian Center for Astrophysics. - : Annenberg Learner, 1993 Abstract: This video comes from The Private Universe Project in Mathematics and includes interview with researcher, Carolyn Maher, as well as narrative voice-over, interspersed with footage of a task-based interview in which Brandon, a 10-year-old 4th grade boy, shares his ideas with the researcher, Amy Martino, about two problems that he had solved in earlier class sessions. In the first class session Brandon had worked with a partner on the following task: Your group has two colors of Unifix Cubes. Work together and make as many different towers four cubes high as is possible when selecting from two colors. The students were asked to develop a way to convince themselves and their classmates that their solution was complete and included no duplicates. In the second session students, again working with partners, were given the following problem: A local pizza shop has asked us to help design a form to keep track of certain pizza choices. They offer a cheese pizza with tomato sauce. A customer can then select from the following toppings: peppers, sausage, mushrooms and pepperoni. How many different choices for pizza does a customer have? Find a way to convince each other that you have accounted for all possibilities. When asked by the interviewer to reflect about how he had solved the Pizza Problem, Brandon reconstructed and explained the chart that he had developed in the earlier class session. When the researcher asked Brandon if this problem reminded him of any others, he referred to the Towers problem and then rebuilt his solution set of towers and compared the two solutions. ; Transcript is also available. ; Smithsonian Astrophysical Observatory. (1993). PUP Math Brandon interview [video]. ; Resource vailable in QuickTime and Flash digital video formats. Keyword: 3-5; 4; Charts; Classroom; Combinatorics; Communication; Connections; Controlling for variables; Counting; Critical thinking in children--New Jersey--Case studies; Direct reasoning; Guessing and checking; Learning; Male; Manipulatives (Education)--Case studies; Mathematics education; Number and operations; Organized lists; Physical models; Pizza; Problem solving; Psychology of--Case studies; Public school; Reasoning and proof; Reasoning by cases; Recognizing an isomorphism; Referencing a previous problem; Representation; Representations; Student view; Towers; Unifix cubes; White; Work view URL: http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000062046 BASE Hide details 10 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 11 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 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 Fractions, Grade 4, Clip 2 of 4: Additive vs. multiplicative reasoning Maher, Carolyn Alexander (Researcher); Martino, Amy (Researcher); Phillips, Joan (Teacher). - : Robert B. Davis Institute for learning, 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 BASE Show details

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