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 Meier, John, author.
 Cambridge, UK ; New York : Cambridge University Press, 2017.
 Description
 Book — xv, 324 pages ; 26 cm.
 Summary

 1. Let's play!
 2. Discovering and presenting mathematics
 3. Sets
 4. The integers and the fundamental theorem of arithmetic
 5. Functions
 6. Relations
 7. Cardinality
 8. The real numbers
 9. Probability and randomness
 10. Algebra and symmetry
 11. Projects Appendix A. Solutions, answers, or hints to intext exercises Index Bibilography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781107128989 20171002
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA303.3 .M45 2017  Unknown 
 Alsina, Claudi.
 Hackensack, NJ : World Scientific, ©2006.
 Description
 Book — 1 online resource (xiv, 237 pages) : illustrations Digital: data file.
 Summary

 Preface
 Special symbols
 1. Introduction. 1.1. Historical notes. 1.2. Preliminaries. 1.3. tnorms and snorms. 1.4. Copulas
 2. Representation theorems for associative functions. 2.1. Continuous, Archimedean tnorms. 2.2. Additive and multiplicative generators. 2.3. Extension to arbitrary closed intervals. 2.4. Continuous, nonArchimedean tnorms. 2.5. Noncontinuous tnorms. 2.6. Families of tnorms. 2.7. Other representation theorems. 2.8. Related functional equations
 3. Functional equations involving tnorms. 3.1. Simultaneous associativity. 3.2. nduality. 3.3. Simple characterizations of Min. 3.4. Homogeneity. 3.5. Distributivity. 3.6. Conical tnorms. 3.7. Rational Archimedean tnorms. 3.8. Extension and sets of uniqueness
 4. Inequalities involving tnorms. 4.1. Notions of concavity and convexity. 4.2. The dominance relation. 4.3. Uniformly close associative functions. 4.4. Serial iterates and ncopulas. 4.5. Positivity.
(source: Nielsen Book Data) 9789812566713 20190128
 New York, N.Y. : Springer, c2007.
 Description
 Book — xiv, 181 p. : ill.
 New York : Routledge, 2009.
 Description
 Book — xx, 388 p. : ill. ; 24 cm.
 Summary

 Series Editor Introduction, Alan H. Schoenfeld List of Contributors Preface Introduction Section One
 1. What I Would Like My Students to Already Know About Proof, Reuben Hersh
 2. Exploring Relationships Between Disciplinary Knowledge and School Mathematics: Implications For Understanding the Place of Reasoning And Proof in School Mathematics, Daniel Chazan and H. Michael Lueke
 3. Proving and Knowing In Public: The Nature of Proof in A Classroom, Patricio Herbst and Nicolas Balacheff Section Two
 4. RepresentationBased Proof in the Elementary Grades, Deborah Schifter
 5. Representations that Enable Children To Engage in Deductive Argument, Anne K. Morris
 6. Young Mathematicians At Work: The Role of Contexts And Models in the Emergence of Proof, Catherine Twomey Fosnot and Bill Jacob
 7. Children's Reasoning: Discovering the Idea of Mathematical Proof, Carolyn A. Maher
 8. Aspects of Teaching Proving In Upper Elementary School, David A Reid and Vicki Zack Section Three
 9. Middle School Students' Production of Mathematical Justifications, Eric J. Knuth, Jeffrey M. Choppin and Kristen N. Bieda
 10. From Empirical to Structural Reasoning in Mathematics: Tracking Changes Over Time, Dietmar Kuchemann and Celia Hoyles
 11. Developing Argumentation and Proof Competencies in the Mathematics Classroom, Aiso Heinze and Kristina Reiss
 12. Formal Proof in High School Geometry: Student Perceptions of Structure, Validity And Purpose, Sharon M. Soucy McCrone and Tami S. Martin
 13. When is an Argument Just An Argument? The Refinement of Mathematical Argumentation, Kay McClain
 14. ReasoningandProving in School Mathematics: The Case of Pattern Identification, Gabriel J. Stylianides and Edward A. Silver
 15. "Doing Proofs" in Geometry Classrooms, Patricio Herbst, Chialing Chen, Michael Weiss, and Gloriana Gonzalez, with Talli Nachlieli, Maria Hamlin and Catherine Brach Section Four
 16. College Instructors' Views of Students Vis a Vis Proof, Guershon Harel & Larry Sowder
 17. Understanding Instructional Scaffolding in Classroom Discourse on Proof, Maria L. Blanton, Despina A. Stylianou and M. Manuela David
 18. Building a Community of Inquiry in a ProblemBased Undergraduate Number Theory Course: The Role of the Instructor, Jennifer Christian Smith, Stephanie Ryan Nichols, Sera Yoo and Kurt Oehler
 19. Proof in Advanced Mathematics Classes: Semantic and Syntactic Reasoning in the Representation System of Proof, Keith Weber & Lara Alcock
 20. Teaching Proving by Coordinating Aspects of Proofs with Students' Abilities, John Selden & Annie Selden
 21. Current Contributions toward Comprehensive Perspectives on the Learning and Teaching of Proof, Guershon Harel & Evan Fuller References.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780415989848 20160527
 Online
Education Library (Cubberley)
Education Library (Cubberley)  Status 

Stacks  
QA8.7 .T43 2009  Unknown 
 Alsina, Claudi.
 Singapore ; Hackensack, N.J. : World Scientific, c2006.
 Description
 Book — xiv, 237 p. : ill.
 Summary

 Preface
 Special symbols
 1. Introduction. 1.1. Historical notes. 1.2. Preliminaries. 1.3. tnorms and snorms. 1.4. Copulas
 2. Representation theorems for associative functions. 2.1. Continuous, Archimedean tnorms. 2.2. Additive and multiplicative generators. 2.3. Extension to arbitrary closed intervals. 2.4. Continuous, nonArchimedean tnorms. 2.5. Noncontinuous tnorms. 2.6. Families of tnorms. 2.7. Other representation theorems. 2.8. Related functional equations
 3. Functional equations involving tnorms. 3.1. Simultaneous associativity. 3.2. nduality. 3.3. Simple characterizations of Min. 3.4. Homogeneity. 3.5. Distributivity. 3.6. Conical tnorms. 3.7. Rational Archimedean tnorms. 3.8. Extension and sets of uniqueness
 4. Inequalities involving tnorms. 4.1. Notions of concavity and convexity. 4.2. The dominance relation. 4.3. Uniformly close associative functions. 4.4. Serial iterates and ncopulas. 4.5. Positivity.
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