The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.

Based on a profound understanding of the ways in which young children learn, this book shows teachers how to launch a writing workshop by inviting children to do what they do naturallymake stuff.

Fountas & Pinnell Leveled Literacy Intervention (LLI) is a powerful early intervention system that can change the path of a student's journey to literacy. The LLI Orange System is specifically targeted at Foundation/Kindergaten students. Please note the program guide is not suitable for educators who have not yet purchased an LLI Orange System. This component is only available separately so that schools with the LLI Orange System can purchase additional copies of the program guide if they require. Find out more about the Fountas & Pinnell LLI System at www.pearson.com.au/primary/LLI

George Orwell set out ‘to make political writing into an art’, and to a wide extent this aim shaped the future of English literature – his descriptions of authoritarian regimes helped to form a new vocabulary that is fundamental to understanding totalitarianism. While 1984 and Animal Farm are amongst the most popular classic novels in the English language, this new series of Orwell’s essays seeks to bring a wider selection of his writing on politics and literature to a new readership. In Why I Write, the first in the Orwell’s Essays series, Orwell describes his journey to becoming a writer, and his movement from writing poems to short stories to the essays, fiction and non-fiction we remember him for. He also discusses what he sees as the ‘four great motives for writing’ – ‘sheer egoism’, ‘aesthetic enthusiasm’, ‘historical impulse’ and ‘political purpose’ – and considers the importance of keeping these in balance. Why I Write is a unique opportunity to look into Orwell’s mind, and it grants the reader an entirely different vantage point from which to consider the rest of the great writer’s oeuvre. 'A writer who can – and must – be rediscovered with every age.' — Irish Times

Highly practical and accessible, this indispensable book provides clear-cut strategies for improving K-12 writing instruction. The contributors are leading authorities who demonstrate proven ways to teach different aspects of writing, with chapters on planning, revision, sentence construction, handwriting, spelling, and motivation. The use of the Internet in instruction is addressed, and exemplary approaches to teaching English-language learners and students with special needs are discussed. The book also offers best-practice guidelines for designing an effective writing program. Focusing on everyday applications of current scientific research, the book features many illustrative case examples and vignettes.

A comprehensive guide to working with any English language learner (ELL) student writer. Provides insight and practical tips for getting ELL students writing, even if they are at the very beginning stages of English language acquisition. Each chapter is stocked with specific tools and strategies that help make writing instruction meet the needs of multilingual writers; illustrated classroom vignettes and samples of children's writing; and student observations and planning notes based on the information in that chapter. Includes advice on creating a classroom environment that supports ELL writers, building a community that promotes risk taking and values different experiences, creating whole group minilessons that meet the needs of emerging and fluent ELLs, scaffolding independent practice for a wide variety of ELLs, scaffolding writing conferences with tools based on ELL students' writing and language needs, facilitating and encouraging students to share and reflect.