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Author: Stephen Abbott Publisher: Springer Science & Business Media ISBN: 0387215069 Category : Mathematics Languages : en Pages : 269
Book Description
This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.
Author: Stephen Abbott Publisher: Springer Science & Business Media ISBN: 0387215069 Category : Mathematics Languages : en Pages : 269
Book Description
This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.
Author: Stephen Abbott Publisher: Springer ISBN: 1493927124 Category : Mathematics Languages : en Pages : 320
Book Description
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one. Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.
Author: Nicola Daniel Publisher: Hachette UK ISBN: 1510473831 Category : Study Aids Languages : en Pages : 169
Book Description
Exam Board: SQA Level: National 5 Subject: English First teaching: September 2017 First exam: Summer 2018 Offer the best possible preparation for National 5 English RUAE. Building students' confidence in reading unseen texts, this book focuses on the skills required for the exam before progressing to worked examples and full-length practice papers. - Teaches students how to answer every question type effectively and demonstrate their ability to understand ideas, analyse language and structure, and evaluate writers' techniques - Enables students to put their RUAE skills into practice as they tackle a range of short extracts and questions accompanied by active learning approaches, group work and individual tasks - Tests the skills that students have developed through six full-length passages and practice assessments, with answers and marking guidelines available online at hoddergibson.co.uk/answers-N5-English-RUAE - Provides stretch and challenge opportunities, including extension activities and further reading that will broaden students' Reading for Understanding, Analysis and Evaluation skills
Author: Ann Bridges Publisher: Hachette UK ISBN: 1471838080 Category : Study Aids Languages : en Pages : 300
Book Description
Exam Board: SQA Level: Higher Subject: English First Teaching: September 2014 First Exam: June 2015 A brand new edition of the former Higher English Close Reading, completely rewritten for the new Higher element - worth 30% of marks in the final exam. Written by two highly experienced authors, this book shows you how to practise for the Reading for Understanding, Analysis and Evaluation section of the CfE Higher English exam. It introduces the terms and concepts that lie behind success and offers guidance on the interpretation of questions and targeting answers. - Acquire and improve the skills needed for success in this area of CfE Higher - Includes questions and passages to reflect the style of assessments in this section of the paper - Revise for the exam using the practice papers and accompanying book of suggested answers
Author: Jane Cooper Publisher: Hachette UK ISBN: 1398351474 Category : Language Arts & Disciplines Languages : en Pages : 191
Book Description
Syllabus: CfE (Curriculum for Excellence, from Education Scotland) and SQA Level: BGE S1-3: Third & Fourth Levels Subject: English Capture pupils' imagination and attention with a rich collection of quality texts, handpicked by Jane Cooper to ensure that pupils want to start reading - and keep reading. Tailored to the interests, motivations and abilities of pupils working towards Second and Third Levels in S1 to S3, this book will help you to close the attainment gap. Part One teaches the close reading skills that pupils need throughout their lives, with simple explanations, lots of examples and tasks set at three levels - 'Building', 'Strengthening' and 'Extending'. Part Two contains ten practice assessments that gradually increase in difficulty, with longer passages, more complex language and more challenging questions. Drawing on her long career as an English teacher and author, Jane Cooper has a talent for knowing which topics pupils will find curious or fun - from the world's cheesiest pizza to a mysterious metal column that appeared in a desert. With Course Reports showing that N5 and Higher students most commonly lose marks in the RUAE papers, this book offers a proactive solution to building confidence and skills during BGE. Providing differentiated, age-appropriate content and tasks, this is the perfect resource for mixed-ability classrooms - especially when used alongside its companion volume, Levels 3-4 English: Reading for Understanding, Analysis and Evaluation Skills.
Author: Mary M. Firth Publisher: Hachette UK ISBN: 1444192108 Category : Study Aids Languages : en Pages : 202
Book Description
Exam Board: SQA Level: National 5 Subject: English First Teaching: September 2013 First Exam: June 2014 This book is ideally suited for use by students working towards National 5 English. Reading for Understanding, Analysis and Evaluation is a key part of this course, and the book provides a selection of practice exercises with questions modelled on those used in the examination, as well as many extracts from various genres, which allow the development of necessary language skills. Some of the material is based on spoken as well as written sources, with follow-up activities suitable for group discussion, and all activities closely related to the principles of Curriculum for Excellence. - Develops skills quickly and effectively using tried and trusted methods from an experienced author team. - Prepares students for assessment with specific advice and plenty of opportunities to test the theory in practice papers. - Teaches - and tests - other language skills essential to success in National 5 English. Answers to and mark schemes for the practice paper questions in this book are available in a separate title: National 5 English: Reading for Understanding, Analysis and Evaluation Answer Book and Marking Schemes (978 1 4441 9211 7). NB: the Answer Book for this title is intended mainly as a Teacher Resource and grants permission to the purchasing institution to make photocopies for the use of staff and students, hence its higher price. Students or parents wishing to view these materials are encouraged to contact their school/college/learning institution to access them free of charge.
Author: Jane Cooper Publisher: Hachette UK ISBN: 1471868621 Category : Literary Criticism Languages : en Pages : 152
Book Description
Exam Board: SQA Level: S1-S3 Subject: English First Teaching: September 2013 First Exam: June 2014 This book brings together the essential close reading skills needed by students taking part in the Broad General Education, Levels 3-4 (in S1 to S3). Split into two parts, the first section uses examples, models and active-learning tasks to teach key concepts of reading for understanding, analysis and evaluation. The second section provides 15 practice assessments, based on a variety of fiction and non-fiction texts, which become progressively more challenging. As well as allowing learners to demonstrate BGE reading skills, this section serves as a useful precursor to the style of assessment encountered later on at National levels. This book will help students to: - develop their close reading abilities - understand the distinction between key ideas and supporting details - analyse writers' language and style via a broad range of sample texts.
Author: Nicholas H. Wasserman Publisher: Springer Nature ISBN: 3030891984 Category : Education Languages : en Pages : 226
Book Description
Getting certified to teach high school mathematics typically requires completing a course in real analysis. Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way. This textbook is our attempt to change the narrative. It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching. This book is a companion text. It is intended to be a supplemental resource, used in conjunction with a more traditional real analysis book. The textbook is based on our efforts to identify ways that studying real analysis can provide future teachers with genuine opportunities to think about teaching secondary mathematics. It focuses on how mathematical ideas are connected to the practice of teaching secondary mathematics–and not just the content of secondary mathematics itself. Discussions around pedagogy are premised on the belief that the way mathematicians do mathematics can be useful for how we think about teaching mathematics. The book uses particular situations in teaching to make explicit ways that the content of real analysis might be important for teaching secondary mathematics, and how mathematical practices prevalent in the study of real analysis can be incorporated as practices for teaching. This textbook will be of particular interest to mathematics instructors–and mathematics teacher educators–thinking about how the mathematics of real analysis might be applicable to secondary teaching, as well as to any prospective (or current) teacher who has wondered about what the purpose of taking such courses could be.
Author: Ann Bridges Publisher: Hachette UK ISBN: 1471844404 Category : Study Aids Languages : en Pages : 64
Book Description
Exam Board: SQA Level: Higher Subject: English First Teaching: September 2014 First Exam: June 2015 This book (which is photocopiable within the purchasing institution) provides detailed suggested marking instructions to use alongside the student book of the same name, which offers practice in the Higher element of Reading for Understanding, Analysis and Evaluation - worth 30% of marks in the final exam. Written by two highly experienced authors, the student book introduces the terms and concepts that lie behind success and offers guidance on the interpretation of questions and targeting answers. - Acquire and improve the skills needed for success in this area of CfE Higher - Detailed marking instructions to reflect the style of assessments in this section of the paper - Revise for the exam using the practice papers in the accompanying student book
Author: Celeste Fenton Publisher: IAP ISBN: 1617350028 Category : Education Languages : en Pages : 267
Book Description
Fluency in Distance Learning offers a practical, hands-on, workshop style approach to creating an effective distance learning course. Full of specific ideas and strategies, the authors guide you through the process from beginning to end. Specific instructions are provided for setting up a course home page, developing interactive content, and utilizing a variety of multimedia resources. Fluency in Distance Learning distinguishes itself from other publications on distance learning with its straightforward, practical workshop format. Specific strategies and examples of effective distance learning course materials help instructors to build a quality distance learning course quickly and effectively regardless of the learning management system being used. A companion website contains multimedia files and interactive exercises to enhance the reader’s learning and understanding of distance learning pedagogy and content development for online courses. In addition, all the necessary media files for trainers to deliver a series of professional development workshops on distance learning, are also available.
Author: Stephen Abbott
Author: Stephen Abbott
Author: Stephen Abbott
Author: Nicola Daniel
Author: Ann Bridges
Author: Jane Cooper
Author: Mary M. Firth
Author: Jane Cooper
Author: Nicholas H. Wasserman
Author: Ann Bridges
Author: Celeste Fenton