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The inspiring stories of 6 people who changed history.
The inspiring stories of 6 people who changed history.
Appropriate for one- or two-semester Advanced Engineering Mathematics courses in departments of Mathematics and Engineering. This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement.
Collins Skills for TOEFL is a two book series (1 Listening/Speaking, 2 Reading/Writing) to help students prepare for the &′Test of English as a Foreign Language&′, used by over 7,500 institutions in 130 countries as a measure of language ability. To date 25 million students have taken the test around the world.
All Latin American countries have most major factors related to English Language Teaching (ELT) in common, but many are notably different from countries in Europe, Asia and Africa.This book is about ELT specifically in Latin America, past, present and future.Between August 2018 and July 2020, Paul Davies published, edited and wrote articles for the 24 monthly numbers of an open access online magazine, English Language Teaching in Latin America. This book contains most of his articles in that magazine and citation of articles by other contributors.
Quick Smart English is a radical, rapid, revision course in English language communication for students at Advanced level (Common European Framework B2-C1). QSE has a strong functional, grammatical and lexical framework. QSE provides extensive practice of all four language learning skills, particularly speaking, aided by Language banks on the fold-out cover flaps. QSE is officially recognised as valuable preparation for the GESE and ISE examinations of Trinity College, London and includes extensive Trinity examination practice activities. QSE is based on stimulating and controversial topics to promote real discussion in class about subjects that really matter to students. It includes a unit-by-unit Glossary. QSE uses task-based learning activities including Conversations and Topic Presentations plus a wide range of pair and group exercises using Role play cards. QSE includes cross-curricular, Content and Language Integrated Learning (CLIL) themes, such as science, economics and law in English. QSE texts are drawn from a wide range of English-speaking world sources, from reportage to fiction, and include authentic Extended reading sections. QSE Workbook comes included in the Student's Book. QSE 'watch and listen' DVD consists of 20 units of audio and visual material - 6 videos and 14 audios, plus PDF files for transcripts. QSE Teacher's Guide includes photcopiable exam practice materials.
The inspiring stories of 5 people who changed history.
Develop key speaking skills and become more confident when speaking in English. To improve your speaking skills you need to learn how to get your message across in the right way and make sure people understand what you say. With Collins Speaking (A2) you will learn what to say and how to say it, by practising the right words, phrases and pronunciation. Includes practice on:* meeting new people * buying and ordering things * speaking on the phone * apologizing * asking for and giving opinions * making a complaint * agreeing and disagreeing * * Twenty units with a clear design in full colour.* Downloadable audio recordings of both native and non-native speakers of English, covering a wide variety of accents from around the world.* Appendices contain detailed advice targeting specific speaking skills.* Mini-dictionary with definitions of the most difficult words in each unit, taken from the Collins COBUILD dictionary.* Answer key. Collins Speaking (A2) is part of the English for Life series. It is suitable for self-study and classroom use, and can help towards Cambridge ESOL KET preparation. Suitable for pre-intermediate learners of English (CEF level A2). The English for Life series uses authentic material from the Collins Corpus. The 4.5-billion-word Collins Corpus is the world's largest database of the English language and is updated every month. Also available in the Collins English for Life series: For Pre-Intermediate (A2) learners:Reading * Writing * Listening For Intermediate (B1+) learners:Reading * Writing * Listening * Speaking
Vocabulary in Use Pre-intermediate and Intermediate is a vocabulary book for intermediate learners of English, primarily designed as a self-study reference and practice book, but which can also be used for classroom work. In its style and format it is similar to its upper intermediate and advanced equivalent, English Vocabulary in Use. - 100 easy-to-use units: over 2,500 vocabulary items in a wide range of topic areas are presented, contextualise and explained and explained on left-hand pages with a variety of follow-up activities on right-hand pages. - Helps to build on and expand existing vocabulary. - Suggests tips and techniques for good learning habits. - Designed to be flexible: can be used both for self-study and in class. - Provides a comprehensive key with not only answers to the exercises but also more comments on how the language is used. - Includes a detailed index with phonetic transcriptions.
Cambridge English for Schools Practice Tests have been designed to familiarise students with the level and format of the Cambridge English Key, Preliminary and First (previously known as KET, PET and FCE) for Schools examinations. Students can be assured that they will receive the relevant, up-to-date, appropriate training to successfully undertake these tests. The guidance and tips sections advise students on how to approach each part of the examination and allow them to improve the skills required.