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Mathematical reasoning

  1. Title statementMathematical reasoning [elektronický zdroj] : patterns, problems, conjectures, and proofs / Raymond S. Nickerson
    Personal name Nickerson, Raymond S. (author)
    Issue dataNew York, N.Y. : Psychology Press, c2010
    Phys.des.1 online zdroj (xi, 583 s.) : il.
    ISBN9780203848029 (e-book)
    0203848020 (e-book)
    NotePopsáno podle tištěné verze
    Internal Bibliographies/Indexes NoteObsahuje bibliografické doakzy a rejstřík
    Notes to AvailabilityPřístup pouze pro oprávněné uživatele
    NoteZpůsob přístupu: World Wide Web
    Subj. Headings matematika mathematics * matematická analýza mathematical analysis * matematická logika mathematical logic * číselná symbolika symbolism of numbers * řešení problémů problem solving
    Form, Genre elektronické knihy electronic books
    Conspect51 - Matematika
    UDC 51 , 510.6 , 517 , 511:165.212 , 519.8 , (0.034.2:08)
    CountryNew York
    Document kindElectronic sources


    "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 mathematics are discoveries or inventions and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as "beautiful"? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction." "This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book's insights illuminating."--Jacket.

    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.

Number of the records: 1