Methods of Solving Sequence and Series Problems
Methods of Solving Sequence and Series Problems

Author: Ellina Grigorieva

Publisher: Birkhäuser

Published: 2016-12-09

Total Pages: 294

ISBN-13: 3319456865

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This book aims to dispel the mystery and fear experienced by students surrounding sequences, series, convergence, and their applications. The author, an accomplished female mathematician, achieves this by taking a problem solving approach, starting with fascinating problems and solving them step by step with clear explanations and illuminating diagrams. The reader will find the problems interesting, unusual, and fun, yet solved with the rigor expected in a competition. Some problems are taken directly from mathematics competitions, with the name and year of the exam provided for reference. Proof techniques are emphasized, with a variety of methods presented. The text aims to expand the mind of the reader by often presenting multiple ways to attack the same problem, as well as drawing connections with different fields of mathematics. Intuitive and visual arguments are presented alongside technical proofs to provide a well-rounded methodology. With nearly 300 problems including hints, answers, and solutions, Methods of Solving Sequences and Series Problems is an ideal resource for those learning calculus, preparing for mathematics competitions, or just looking for a worthwhile challenge. It can also be used by faculty who are looking for interesting and insightful problems that are not commonly found in other textbooks.

Progression and Progress in Physical Education
Progression and Progress in Physical Education

Author: Susan Capel

Publisher: Taylor & Francis

Published: 2024-11-25

Total Pages: 261

ISBN-13: 104019365X

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How well do I take account of the needs of different classes and individual learners to facilitate and enhance progress? Do I plan for progress based on where learners are currently at? Does the curriculum facilitate and enhance progress? Exploring these questions and more, this book examines what progress in physical education looks like and conditions for facilitating and enhancing the progress of individual learners across different domains of learning. Progression and Progress in Physical Education contains 12 units, each of which highlights an aspect of progression or progress in physical education. Throughout, the book emphasises that it is individual learners that make progress therefore highlighting the importance of catering for the holistic, individual learner. Grouped into four sections, units cover: - What is meant by progression, progress and learning? - The holistic nature of individual learners - The Physical, Cognitive and Affective Domains of learning - Teaching to facilitate and enhance progress - Recognising and charting progress - The role of the curriculum in facilitating and enhancing progress - The broader context in which physical education teachers work Filled throughout with examples of existing good practice and useful tips, this text will support all primary and secondary physical education teachers in facilitating and enhancing learner progress in physical education.

Progression in Secondary Drama
Progression in Secondary Drama

Author: Andy Kempe

Publisher: Heinemann

Published: 2000

Total Pages: 292

ISBN-13: 9780435185954

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This text uses practical strategies and lesson ideas to show teachers how to help students progress. It also contains a section on using drama effectively to improve students' literacy.

Understanding and Teaching Primary Mathematics
Understanding and Teaching Primary Mathematics

Author: Tony Cotton

Publisher: Routledge

Published: 2020-09-02

Total Pages: 349

ISBN-13: 1000173763

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Written by an experienced teacher and teacher educator with widespread experience of teaching mathematics in the UK and internationally, Understanding and Teaching Primary Mathematics combines pedagogy and subject knowledge to build confidence and equip you with all the skills and know-how you need to successfully teach mathematics to children of any age. This fourth edition has been fully updated to reflect the latest research developments and initiatives in the field, including a brand-new chapter on ‘Mastery and mathematics’ and ‘The Singapore approach’ which reflects the current international interest in these approaches to learning and teaching mathematics. Extra features also include helpful callouts to the book’s revised and updated companion website, which offers a shared site with a range of resources relevant to both this book and its companion volume, Teaching for Mathematical Understanding. Stimulating, accessible and well-illustrated, with comprehensive coverage of subject knowledge and pedagogy, Understanding and Teaching Primary Mathematics is an essential purchase for trainee and practising teachers alike.