Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Introduction.- The Longitudinal Study.- Methodology.- Representations as a Tool for Building Arguments.- Building Towers: Justifications Leading to Proof Making.- Making Pizzas: Reasoning by Cases and recursion.- Responding to Ankur's Challenge: Co-construction of Argument Leading to Proof.- Co-construction of Proof.- The Case of Stephanie.- Representations and Connections.- Pizzas, Block Towers, and Binomials.- Generalizing from Pizzas, Towers, Binomial Expansion, and Pascal's Triangle.- Extending and Generalizing the Isomorphism: Towers, Pizzas, Pascal's Triangle, and the Taxicab Problem.- College Students Building Towers and Making Pizzas.- Comparing the Problem Solving of College Students with Longitudinal Study Students.- Conclusions and Suggestions for Practice.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Spese di spedizione:
GRATIS
In U.S.A.
Descrizione libro Hardcover. Condizione: new. Codice articolo 9789400706149
Descrizione libro Condizione: New. Codice articolo ABLIING23Apr0412070049277
Descrizione libro Hardcover. Condizione: Brand New. 2011 edition. 224 pages. 9.50x6.75x0.75 inches. This item is printed on demand. Codice articolo zk9400706146
Descrizione libro Condizione: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Codice articolo ria9789400706149_lsuk
Descrizione libro Condizione: New. Codice articolo I-9789400706149
Descrizione libro Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Unique Longitudinal research over 20 yearsPresents compelling evidence of the advantages to using combinatorics in mathematics educationExtensive discussion of mathematical tasksCombinatorics and Reasoning: Representing, Justifying . Codice articolo 5825374
Descrizione libro Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level.This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning. Codice articolo 9789400706149