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100   $a20180706d2010      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aMathematical reasoning $epatterns, problems, conjectures, and proofs /$fRaymond S. Nickerson
210  1$aNew York :$cPsychology Press,$d2010.
215   $a1 online resource (597 p.)
300   $aDescription based upon print version of record.
311   $a1-138-98058-7 
311   $a1-84872-827-1 
320   $aIncludes bibliographical references and indexes.
327   $aCover; Mathematical Reasoning: Patterns, problems, conjectures, and proofs; Copyright; Contents; The Author; Preface; 1. What Is Mathematics?; 2. Counting; 3. Numbers; 4. Deduction and Abstraction; 5. Proofs; 6. Informal Reasoning in Mathematics; 7. Representation in Mathematics; 8. Infinity; 9. Infinitesimals; 10. Predilections, Presumptions, and Personalities; 11. Esthetics and the Joys of Mathematics; 12. The Usefulness of Mathematics; 13. Foundations and the "Stuff" of Mathematics; 14. Preschool Development of Numerical and Mathematical Skills; 15. Mathematics in School
327   $a16. Mathematical Problem Solving17. Final Thoughts; References; Appendix: Notable (Deceased) Mathematicians, Logicians, Philosophers, and Scientists Mentioned in the Text; Author Index; Subject Index
330 1 $a"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."--BOOK JACKET.
606   $aMathematical analysis
606   $aReasoning
606   $aLogic, Symbolic and mathematical
606   $aProblem solving
608   $aElectronic books.
615  0$aMathematical analysis.
615  0$aReasoning.
615  0$aLogic, Symbolic and mathematical.
615  0$aProblem solving.
676   $a510.1/9
700   $aNickerson$b Raymond S.$0724078
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910461309703321
996   $aMathematical reasoning$92226400
997   $aUNINA