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Teaching Mathematics at Secondary Level
by Tony GardinerTeaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11-14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present. <p><p> This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.
Teaching Secondary School Mathematics: Research and practice for the 21st century
by Merrilyn Goos Gloria Stillman Sandra Herbert Vince GeigerSince its first publication, Teaching Secondary School Mathematics has established itself as one of the most respected and popular texts for both pre-service and in-service teachers. This new edition has been fully revised and updated to reflect the major changes brought about by the introduction of the Australian Curriculum: Mathematics, as well as discussing significant research findings, the evolution of digital teaching and learning technologies, and the implications of changes in education policies and practices.The mathematical proficiencies that now underpin the Australian curriculum -- understanding, fluency, problem solving and reasoning -- are covered in depth in Part 1, and a new section is devoted to the concept of numeracy. The chapter on digital tools and resources has been significantly expanded to reflect the growing use of these technologies in the classroom, while the importance of assessment is recognised with new material on assessment for learning and as learning, along with a consideration of policy development in this area. Important research findings on common student misconceptions and new and effective approaches for teaching key mathematical skills are covered in detail.As per the first edition readers will find a practical guide to pedagogical approaches and the planning and enactment of lessons together with enhanced chapters on teaching effectively for diversity, managing issues of inequality and developing effective relationships with parents and the community.This book is the essential pedagogical tool for every emerging teacher of secondary school mathematics.'The text offers an excellent resource for all of those involved in the preparation of secondary mathematics teachers, with links to research literature, exemplars of classroom practices, and instructional activities that encourage readers to actively examine and critique practices within their own educational settings.' Professor Glenda Anthony, Institute of Education, Massey University'A rich and engaging textbook that covers all of the important aspects of learning to become an effective secondary mathematics teacher. The second edition of this text ... is further enhanced with updated references to the Australian Curriculum, NAPLAN, STEM, current Indigenous, social justice and gender inequity issues, and the place of Australian mathematics curricula on the world stage.' Dr Christine Ormond, Senior Lecturer, Edith Cowan University
Technology, Theory, and Practice in Interdisciplinary STEM Programs
by Reneta D. LansiquotThis book highlights models for promoting interdisciplinary thinking and an appreciation for interdisciplinary understanding among students in STEM-related fields. Studentsmajoring in science, technology, engineering, and mathematics often perceivethat courses in their major are not related to the general education liberalarts courses required for their degrees. This separation prevents the transfer of skills between their generaleducation courses and their degree pursuits. The false dichotomy is particularlyimportant because solving the daunting challenges of the twenty-firstcentury--such as drug-resistant bacteria, scarcity of natural resources, andclimate change--requires global citizens armed with robust, complex abilitieswho can integrate interdisciplinary concepts with bold technologies. Contributors to this book explore ways in which this dichotomy can be overcome.
TEKS Geometry
by McGraw-HillThe Homework Practice Workbook contains two worksheets for every lesson in the Student Edition. This workbook helps students: Practice the skills of the lesson, Use their skills to solve word problems.
Tempered Stable Distributions
by Michael GrabchakThis brief is concerned with tempered stable distributions and their associated Levy processes. It is a good text for researchers interested in learning about tempered stable distributions. A tempered stable distribution is one which takes a stable distribution and modifies its tails to make them lighter. The motivation for this class comes from the fact that infinite variance stable distributions appear to provide a good fit to data in a variety of situations, but the extremely heavy tails of these models are not realistic for most real world applications. The idea of using distributions that modify the tails of stable models to make them lighter seems to have originated in the influential paper of Mantegna and Stanley (1994). Since then, these distributions have been extended and generalized in a variety of ways. They have been applied to a wide variety of areas including mathematical finance, biostatistics,computer science, and physics.
Temporal Quantum Correlations and Hidden Variable Models
by Costantino BudroniIn this thesis, the main approach to the characterization of the set of classical probabilities, the correlation polytope approach, is reviewed for different scenarios, namely, hidden variable models discussed by Bell (local), Kochen and Specker (non-contextual), and Leggett and Garg (macrorealist). Computational difficulties associated with the method are described and a method to overcome them in several nontrivial cases is presented. For the quantum case, a general method to analyze quantum correlations in the sequential measurement scenario is provided, which allows computation of the maximal correlations. Such a method has a direct application for computation of maximal quantum violations of Leggett-Garg inequalities and it is relevant in the analysis of non-contextuality tests. Finally, possible applications of the results for quantum information tasks are discussed.
Tennessee Senior Bridge Mathematics
by The Consortium for Foundation Mathematics Robert Blitzer Randall I. CharlesNIMAC-sourced textbook
Tensor Calculus for Engineers and Physicists
by Emil de Souza Sánchez FilhoThistextbook provides a rigorous approach to tensor manifolds in several aspects relevantfor Engineers and Physicists working in industry or academia. With a thorough,comprehensive, and unified presentation, this book offers insights into severaltopics of tensor analysis, which covers all aspects of N dimensional spaces. The mainpurpose of this book is to give a self-contained yet simple, correct andcomprehensive mathematical explanation of tensor calculus for undergraduate andgraduate students and for professionals. In addition to many worked problems,this book features a selection of examples, solved step by step. Although noemphasis is placed on special and particular problems of Engineering orPhysics, the text covers the fundamentals of these fields of science. The bookmakes a brief introduction into the basic concept of the tensorial formalism soas to allow the reader to make a quick and easy review of the essential topicsthat enable having the grounds for the subsequent themes, without needing toresort to other bibliographical sources on tensors. Chapter 1 deals withFundamental Concepts about tensors and chapter 2 is devoted to the study ofcovariant, absolute and contravariant derivatives. The chapters 3 and 4 arededicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents aconcise study of the Parallelism of Vectors. It also shows how to solve variousproblems of several particular manifolds.
Terahertz Antenna Technology for Space Applications (SpringerBriefs in Electrical and Computer Engineering)
by Balamati Choudhury Aniruddha R. Sonde Rakesh Mohan JhaThis book explores the terahertz antenna technology towards implementation of compact, consistent and cheap terahertz sources, as well as the high sensitivity terahertz detectors. The terahertz EM band provides a transition between the electronic and the photonic regions thus adopting important characteristics from these regimes. These characteristics, along with the progress in semiconductor technology, have enabled researchers to exploit hitherto unexplored domains including satellite communication, bio-medical imaging, and security systems. The advances in new materials and nanostructures such as graphene will be helpful in miniaturization of antenna technology while simultaneously maintaining the desired output levels. Terahertz antenna characterization of bandwidth, impedance, polarization, etc. has not yet been methodically structured and it continues to be a major research challenge. This book addresses these issues besides including the advances of terahertz technology in space applications worldwide, along with possibilities of using this technology in deep space networks.
TEST Basic EPUB3 with MathML
by Diagram CenterThis EPUB has MathML which only has an alttext fallback within the MathML, There is no altimage fallback.
TEST EPUB 3 with MathML Cloud
by Diagram CenterThis EPUB 3.0 has a clickable PNG Image of the math which links to the MathML Cloud’s copy of this same equation which could be explored on the web using MathJax and AT. It also has Alt describing the image and commented out MathML
TEST EPUB3 MathML with Alt img Version
by Diagram CenterThis EPUB has MathML which contains a fallback PNG image with Alt-Text inside the MathML
TEST EPUB3 MathML with ARIA Describedby and Additional Alttext Version
by Diagram CenterThis EPUB 3.0 has a PNG Image with an Alt description and an ARIA-describedby which points to a hidden div containing the MathML which has embedded in it an alttext description.
TEST EPUB3 MathML with ARIA Describedby Version
by Diagram CenterThis EPUB has a PNG Image with an Alt description and an ARIA-describedby which points to a hidden div containing the MathML. (This MathML has no alt image nor has an alttext description)
TEST Wiley EPUB 3.0 MathML Sample
by Diagram CenterThis EPUB 3.0 shows what Wiley is currently doing which is a PNG Image of the math equation with Alt describing the equation and commented out MathML
Themes in Economic Analysis: Theory, policy and measurement
by Subrata Guha Rajendra Prasad Kundu S. SubramanianThis book covers diverse themes, including institutions and efficiency, choice and values, law and economics, development and policy, and social and economic measurement. Written in honour of the distinguished economist Satish K. Jain, this compilation of essays should appeal not only to students and researchers of economic theory but also to those interested in the design and evaluation of institutions and policy.
Theories in and of Mathematics Education
by Angelika Bikner-Ahsbahs Andreas Vohns Regina Bruder Oliver Schmitt Willi DörflerThis survey provides an overview of German meta-discourse on theories and mathematics education as a scientific discipline, from the 1970s to the 1990s. Two theory strands are offered: a semiotic view related to Peirce and Wittgenstein (presented by Willibald Dorfler), and the theory of learning activity by Joachim Lompscher (presented by Regina Bruder and Oliver Schmitt). By networking the two theoretical approaches in a case study of learning fractions, it clarifies the nature of the two theories, how they can be related to inform practice and renew TME-issues for mathematics education as a scientific discipline. Hans-Georg Steiner initiated the first of five international conferences on Theories of Mathematics Education (TME) to advance the founding of mathematics education as a scientific discipline, and subsequently German researchers have continued to focus on TME topics but within various theory strands. "
The Theory and Practice of Conformal Geometry (Aurora: Dover Modern Math Originals)
by Steven G. KrantzIn this original text, prolific mathematics author Steven G. Krantz addresses conformal geometry, a subject that has occupied him for four decades and for which he helped to develop some of the modern theory. This book takes readers with a basic grounding in complex variable theory to the forefront of some of the current approaches to the topic. "Along the way," the author notes in his Preface, "the reader will be exposed to some beautiful function theory and also some of the rudiments of geometry and analysis that make this subject so vibrant and lively."More up-to-date and accessible to advanced undergraduates than most of the other books available in this specific field, the treatment discusses the history of this active and popular branch of mathematics as well as recent developments. Topics include the Riemann mapping theorem, invariant metrics, normal families, automorphism groups, the Schwarz lemma, harmonic measure, extremal length, analytic capacity, and invariant geometry. A helpful Bibliography and Index complete the text.
Theory of Affine Projection Algorithms for Adaptive Filtering
by Kazuhiko OzekiThis book focuses on theoretical aspects of the affine projection algorithm (APA) for adaptive filtering. The APA is a natural generalization of the classical, normalized least-mean-squares (NLMS) algorithm. The book first explains how the APA evolved from the NLMS algorithm, where an affine projection view is emphasized. By looking at those adaptation algorithms from such a geometrical point of view, we can find many of the important properties of the APA, e. g. , the improvement of the convergence rate over the NLMS algorithm especially for correlated input signals. After the birth of the APA in the mid-1980s, similar algorithms were put forward by other researchers independently from different perspectives. This book shows that they are variants of the APA, forming a family of APAs. Then it surveys research on the convergence behavior of the APA, where statistical analyses play important roles. It also reviews developments of techniques to reduce the computational complexity of the APA, which are important for real-time processing. It covers a recent study on the kernel APA, which extends the APA so that it is applicable to identification of not only linear systems but also nonlinear systems. The last chapter gives an overview of current topics on variable parameter APAs. The book is self-contained, and is suitable for graduate students and researchers who are interested in advanced theory of adaptive filtering.
Theory of Control Systems Described by Differential Inclusions
by Zhengzhi Han Xiushan Cai Jun HuangThis book provides a brief introduction to the theory of finitedimensional differential inclusions, and deals in depth with control of threekinds of differential inclusion systems. The authors introduce the algebraicdecomposition of convex processes, the stabilization of polytopic systems, andobservations of Luré systems. They also introduce the elemental theory offinite dimensional differential inclusions, and the properties and designs ofthe control systems described by differential inclusions. Addressing thematerial with clarity and simplicity, the book includes recent researchachievements and spans all concepts, concluding with a critical mathematicalframework. This book is intended for researchers, teachers and postgraduatestudents in the area of automatic control engineering.
The Theory of Extensive Form Games
by Carlos Alós-Ferrer Klaus RitzbergerThis book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree. This concept represents a synthesis of earlier approaches, including the graph-theoretical and the decision-theoretical ones. It then provides a general model of sequential, interpersonal decision making, called extensive decision problems. Extensive forms are a special case thereof, which is such that all strategy profiles induce outcomes and do so uniquely. Requiring the existence of immediate predecessors yields discrete extensive forms, which are still general enough to cover almost all applications. The treatment culminates in a characterization of the topologies on the plays of the game tree that admit equilibrium analysis.
The Theory of H(b) Spaces: Volume 1 (New Mathematical Monographs)
by Emmanuel Fricain Javad MashreghiAn H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics. Covers all of the material required to understand the theory and its foundations. Suitable as a textbook for graduate courses. Contains over 200 exercises to test students' grasp of the material covered.
The Theory of H(b) Spaces: Volume 2 (New Mathematical Monographs)
by Emmanuel Fricain Javad MashreghiAn H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.