Titlebook: Combinatorics and Reasoning; Representing, Justif Carolyn A. Maher,Arthur B. Powell,Elizabeth B. Upt Book 2010 Springer Science+Business Me

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“Doing Mathematics” from the Learners’ Perspectivesistemological growth of the students. During the longitudinal study, individual clinical interviews were conducted with the students with the goal of capturing the mathematical beliefs that the students might have developed in connection with their experiences in the longitudinal study.

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Adults Reasoning Combinatoriallyen-ended problems, over time, under conditions that encouraged critical thinking. In this chapter, we address the question as to whether similar results can be achieved by liberal-arts college students within a well-implemented curriculum that includes a strand of connected problems to be solved ove

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tensive discussion of mathematical tasks.Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms. is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By stu

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Smart Tourism Embraces Blockchain,orked on problems in class. Instead, the students who remained in the study worked on problems in after-school sessions scheduled by the researchers and for which the students rearranged their after-school schedules in order to attend.

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Making Pizzas: Reasoning by Cases and by Recursionted new challenges and required the students to adapt the representations and solution strategies that they had previously formed to meet the needs of these tasks. (Portions of the data analyzed here are described in Bellisio (1999), Muter (1999), and Tarlow (2004).)