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Developing Chinese EFL Learners' Generic Competence

A Genre-based & Process Genre Approach

This work investigates the development of English as a Foreign Language (EFL) learners’ generic competence in reading, writing and translation within the particular Chinese classroom context. It provides a new perspective for the current teaching and research in reading, writing, translation within the EFL contexts and offers an insightful framework for pedagogical applications in language learning and teaching. Its findings will be extremely valuable not only in local situations, but also more generally in a wider regional and global context as well. The book employs a series of research tools, including pre-research and post-research questionnaires, pre-test and post-test of reading/writing/translation, multi-faceted writing portfolios (including reflection reports), textual analysis and in-depth interviews. It involves 209 participants from a primary university in Wuhan, among whom 171 are undergraduates and 38 are postgraduates. ​And it draws on the analysis of such varied multi-sourced data both qualitatively and quantitatively. Genre-based teaching is playing a critical role in initiating EFL learners into the discourse community of the target language. Developing EFL learners’ generic competence is viewed as the ultimate goal in the process of teaching and learning. This monograph effectively demonstrates that like genre-based English for Specific Purposes (ESP) pedagogies, it is also possible to take advantage of already acquired genre knowledge for use in EFL learning contexts. It offers an impressive view of the direction in which genre-based applications are likely to take in the coming years.

Writing: A. Process. Genre. Approach. 4.1. Setting. Previous studies on the
teaching of reading with genre-based pedagogies are scarce. Most of the
researches on reading are done within the theoretical framework of schema
theory.

Reading, Writing, Mathematics and the Developing Brain: Listening to Many Voices

This valuable addition to the literature offers readers a comprehensive overview of recent brain imaging research focused on reading, writing and mathematics—a research arena characterized by rapid advances that follow on the heels of fresh developments and techniques in brain imaging itself. With contributions from many of the lead scientists in this field, a number of whom have been responsible for key breakthroughs, the coverage deals with the commonalities of, as well as the differences between, brain activity related to the three core educational topics. At the same time, the volume addresses vital new information on both brain and behavior indicators of developmental problems, and points out the new directions being pursued using current advances in brain imaging technologies as well as research-based interventions. The book is also a tribute to a new Edmund, J Safra Brain center for the study of learning Disabilities at the University of Haifa-Israel.

Victoria J. Molfese, Ph.D. and Zvia Breznitz, Ph.D. Reading and writing skills are
important for effective communication in a literate society. The human brain was
created about 60,000 years ago and the alphabetic code only about 5,000 years
 ...

A Logical Introduction to Proof

The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.

The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics.

Introduction to Calculus and Analysis I

From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text.

From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers.

Introduction to Calculus and Classical Analysis

This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material. Some features of the text include: The text is completely self-contained and starts with the real number axioms; The integral is defined as the area under the graph, while the area is defined for every subset of the plane; There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; and There are 385 problems with all the solutions at the back of the text.

This text is intended for an honors calculus course or for an introduction to analysis.

Introduction to Mathematical Analysis

I have tried to provide an introduction, at an elementary level, to some of the important topics in real analysis, without avoiding reference to the central role which the completeness of the real numbers plays throughout. Many elementary textbooks are written on the assumption that an appeal to the complete ness axiom is beyond their scope; my aim here has been to give an account of the development from axiomatic beginnings, without gaps, while keeping the treatment reasonably simple. Little previous knowledge is assumed, though it is likely that any reader will have had some experience of calculus. I hope that the book will give the non-specialist, who may have considerable facility in techniques, an appreciation of the foundations and rigorous framework of the mathematics that he uses in its applications; while, for the intending mathe matician, it will be more of a beginner's book in preparation for more advanced study of analysis. I should finally like to record my thanks to Professor Ledermann for the suggestions and comments that he made after reading the first draft of the text.

I hope that the book will give the non-specialist, who may have considerable facility in techniques, an appreciation of the foundations and rigorous framework of the mathematics that he uses in its applications; while, for the intending ...

A Concise Introduction to Analysis

This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and the divergence theorem. These are used in the final chapter to derive Cauchy's formula, which is then applied to prove some of the basic properties of analytic functions. Among the unusual features of this book is the treatment of analytic function theory as an application of ideas and results in real analysis. For instance, Cauchy's integral formula for analytic functions is derived as an application of the divergence theorem. The last section of each chapter is devoted to exercises that should be viewed as an integral part of the text. A Concise Introduction to Analysis should appeal to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible, an attempt has been made to give interesting examples that demonstrate how the ideas are used and why it is important to have a rigorous grasp of them.

This book provides an introduction to the basic ideas and tools used in mathematical analysis.

Introduction to Applied Mathematics for Environmental Science

This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. The definition of the structure is presented, followed by additional examples using MATLAB, and analytic methods of solving and learning from the structure.

This book teaches mathematical structures and how they can be applied in environmental science.

Introduction to Perturbation Methods

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics.

An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization

This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana’s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.

This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator.