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Geometric methods in mathematical physics : proceedings of an NSF-CBMS conference held at the University of Lowell, Massachusetts, March 19-23, 1979 / edited by G. Kaiser and J.E. Marsden.

Contributor(s): Kaiser, Gerald | Marsden, Jerrold E | National Science Foundation (U.S.) | Conference Board of the Mathematical SciencesMaterial type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 775.Publication details: Berlin ; New York : Springer-Verlag, 1980. Description: 1 online resource (vii, 257 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540385714; 3540385711Subject(s): Geometry, Differential -- Congresses | Mathematical physics -- Congresses | Géométrie différentielle -- Congrès | Physique mathématique -- Congrès | Geometry, Differential | Mathematical physics | Differentiaalmeetkunde | Mathematische fysica | Mathematische Physik | Geometrische Methode | Kongress | Differentialgeometrie | Geometrie | Physik | Magic | Wizards | Toy and movable booksGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Geometric methods in mathematical physics.DDC classification: 510.8 LOC classification: QA3 | .L28 no. 775 | QC20.7.G44Other classification: 31.52 | 33.06 | 18a | 19a | SI 850 | 37Cxx | 53Cxx Online resources: Click here to access online
Contents:
Geometric aspects of global bifurcation in nonlinear elasticity -- The branching of solutions of Einstein's equations -- What does supergravity teach us about gravity? -- Classical 1/2 spin particles interacting with gravitational fields: A supersymmetric model -- Generalized constraint algorithm and special presymplectic manifolds -- Deformations and quantization -- Holomorphic gauge theory -- A geometric variational formalism for the theory of nonlinear waves -- Geometry of jet bundles and the structure of lagrangian and hamiltonian formalisms -- Involution theorems.
Action note: digitized 2010 committed to preserveSummary: For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills-specifically, reasoning skills-that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.
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Includes bibliographical references and index.

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Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

Print version record.

Geometric aspects of global bifurcation in nonlinear elasticity -- The branching of solutions of Einstein's equations -- What does supergravity teach us about gravity? -- Classical 1/2 spin particles interacting with gravitational fields: A supersymmetric model -- Generalized constraint algorithm and special presymplectic manifolds -- Deformations and quantization -- Holomorphic gauge theory -- A geometric variational formalism for the theory of nonlinear waves -- Geometry of jet bundles and the structure of lagrangian and hamiltonian formalisms -- Involution theorems.

For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills-specifically, reasoning skills-that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

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