Titlebook: Combinatorics and Reasoning; Representing, Justif Carolyn A. Maher,Arthur B. Powell,Elizabeth B. Upt Book 2011 Springer Netherlands 2011 Co

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Smart Technologies in Urban Engineeringd their solution to the shirts and jean problem (which was to determine how many outfits could be formed from three different shirts and two different pairs of jeans and to provide a convincing argument of the solution). In their effort to make sense of the components of the problem and to monitor t

杀虫剂

https://doi.org/10.1007/978-3-031-46877-3binatorial tasks. In this chapter, we trace how Stephanie and her classmates tried to make sense of the inductive method of generating towers. This strategy was originated by Milin, but it was eventually adopted by many other students. We attempt to identify the moments at which individual students

Cocker

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Cytology

Agronomy

https://doi.org/10.1007/978-3-031-32213-6we observe a different cohort of students also exploring the towers and pizza problems. In the five sessions discussed here, spanning December 1997 through March 1998, the five students in this cohort were reintroduced to the towers and pizza problems, which they last explored in elementary school a

过度

https://doi.org/10.1007/978-3-031-32213-6 own increasingly sophisticated and abstract representations. In this chapter, we see how onegroup built on those ideas in order to derive, explain, and record Pascal’s Identity(the addition rule for Pascal’s Triangle) using standard mathematical notation. Thisremarkable demonstration of how student