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Mathematical reasoning : patterns, problems, conjectures, and proofs /

"This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the 'truths' of mathemat...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nickerson, Raymond S.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Psychology Press, ©2010.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • What is mathematics?
  • Counting
  • Numbers
  • Deduction and abstraction
  • Proofs
  • Informal reasoning in mathematics
  • Representation in mathematics
  • Infinity
  • Infinitesimals
  • Predictions, presumptions, and personalities
  • Esthetics and the joy of mathematics
  • The usefulness of mathematics
  • Foundations and the "stuff" of mathematics
  • Preschool development of numerical and mathematical skills
  • Mathematics in school
  • Mathematical problem solving
  • Final thoughts.