Confused about the various concepts on Proofs taught in school or simply want more practice questions? This book on Proofs seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Confused about the various concepts on Proofs and Disproofs taught in school? This book on Proofs and Disproofs seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (HL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Confused about the various concepts on Differentiation Techniques taught in school or simply want more practice questions? This book on Differentiation Techniques seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Confused about the various concepts on Binomial Theorem taught in school or simply want more practice questions? This book on Binomial Theorem seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Confused about the various concepts on Discrete Random Variables taught in school or simply want more practice questions? This book on Discrete Random Variables seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Confused about the various concepts on Quadratic Functions taught in school or simply want more practice questions? This book on Quadratic Functions seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

This is a book for teachers, by teachers, from elementary school to university level classrooms. It is about the use of creative instructional strategies in K-12 classroom settings, and the transformations the teachers made in their journeys from being traditional practitioners to “becoming pedagogical” in their approaches to teaching and learning across the curriculum. Over twenty teachers conducted research in their classrooms on the implementation of creative strategies, tactics, graphics organizers, and visual journals in teaching and learning. They have written their inquiries in a narrative style, informed by various forms of arts based educational research. Their research is approachable and usable by other teachers who are interested in becoming reflective-reflexive practitioners. Many of the strategies, tactics, and graphics organizers are described by Barrie Bennett in his widely used textbook, Beyond Monet: The Artful Science of Instructional Intelligence. However, through their journeys of becoming teacher-learner-researchers, many discovered numerous, creative variations of Bennett’s work as it was implemented in their classrooms. While there are many professional books that provide ideas on collaborative learning and creative teaching approaches, there is very little published research on the efficacy of these concepts in the K-12 classroom. These inquiries provide practical insights into how inspired teachers can conduct research on improving their own practice as well as on greatly improving their students’ learning. Thus, this book has widespread interest for teachers and administrators who seek to implement systemic changes in the ways that teachers teach, and children learn, in the 21st century.

In this volume, the authors show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde{\frak g}$, they construct the corresponding level $k$ vertex operator algebra and show that level $k$ highest weight $\tilde{\frak g}$-modules are modules for this vertex operator algebra. They determine the set of annihilating fields of level $k$ standard modules and study the corresponding loop $\tilde{\frak g}$-module--the set of relations that defines standard modules. In the case when $\tilde{\frak g}$ is of type $A{(1)} 1$, they construct bases of standard modules parameterized by colored partitions, and as a consequence, obtain a series of Rogers-Ramanujan type combinatorial identities.

This book presents the basics of mathematics that are needed for learning the physics of today. It describes briefly the theories of groups and operators, finite- and infinite-dimensional algebras, concepts of symmetry and supersymmetry, and then delineates their relations to theories of relativity and black holes, classical and quantum physics, electroweak fields and Yang-Mills. It concludes with a chapter on (the complex theory of) strings and superstrings and their link to black holes — an idea that fascinates both the physicist and the mathematician. Contents:Complex Functions, Riemann Surfaces and Two-Dimensional Conformal Field Theory (an Introduction)Elements of Group Theory and Group RepresentationsA Primer on OperatorsBasics of Algebras and Related ConceptsInfinite-Dimensional AlgebrasThe Role of Symmetry in Physics and MathematicsAll That's Super — An IntroductionGravitation, Relativity and Black HolesBasics of Quantum TheoryTheory of Yang–Mills and the Yang–Mills–Higgs MechanismStrings and Superstrings (Elementary Aspects) Readership: Upper level undergraduates, graduate students, lecturers and researchers in theoretical physics, mathematical physics, quantum physics and astrophysics as well as Yang-Mills and superstring theory.