Механика-математика факультетінің студенттеріне арналған оқу-әдістемелік құралы екі бөлімнен түрады: жалпы ағылшын тілі және кәсіби бағдарлы ағылшын тілін үйрету. Оқу-әдістемелік құралы кәсіби шеберлігі мен біліктілігін арттыруға бағытталған. Автордың редакциясымен шығарылды. The teaching aid is designed for the students of Mechanics-Mathematics faculty. It consists of two parts: general and English for specific purposes. The teaching aid provides grammar reference including the main grammatical aspects of the English language. It is aimed at improving skills and professional competence of the students. Publishing in authorial release.

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The first edition of the semi-bilingual English-Russian version of the Cambridge Learners Dictionary with CD-ROM. This is the first edition of the semi-bilingual Russian version of the Cambridge Learners Dictionary, ideal for intermediate to upper-intermediate students. Russian translations are given for every sense, and thesaurus and common error notes give students extra help with producing English. The dictionary is accompanied by a CD-ROM containing the full text of the dictionary, and including SmartThesaurus, QuickFind, recordings of every word in British and American English, plus study material.

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Mathematics for Physicists is a relatively short volume covering all the essential mathematics needed for a typical first degree in physics, from a starting point that is compatible with modern school mathematics syllabuses. Early chapters deliberately overlap with senior school mathematics, to a degree that will depend on the background of the individual reader, who may quickly skip over those topics with which he or she is already familiar. The rest of the book covers the mathematics that is usually compulsory for all students in their first two years of a typical university physics degree, plus a little more. There are worked examples throughout the text, and chapter-end problem sets. Mathematics for Physicists features: Interfaces with modern school mathematics syllabuses All topics usually taught in the first two years of a physics degree Worked examples throughout Problems in every chapter, with answers to selected questions at the end of the book and full solutions on a website This text will be an excellent resource for undergraduate students in physics and a quick reference guide for more advanced students, as well as being appropriate for students in other physical sciences, such as astronomy, chemistry and earth sciences.

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Complete First Second edition is an official preparation course for Cambridge English: First, also known as First Certificate in English (FCE). It combines the very best in contemporary classroom practice with first-hand knowledge of the challenges students face. The information, practice and advice contained in the course ensure that they are fully prepared for all parts of the test, with strategies and skills to maximise their score. Informed by Cambridges unique searchable database of real exam candidates answer papers, the Cambridge English Corpus, Complete First Second edition trains students to avoid common exam mistakes, guaranteeing teachers and students the most authoritative preparation for Cambridge English: First. Complete First Second edition Students Book without answers features: Topic-based units, providing language input and practice for each part of the exam papers. Regular Exam information and Exam advice boxes which explain the quarrymens of exam tasks, peaking and Writing references which focus on key skills required for the Targeted vocabulary, drawing on research insights from English Profile, to focus on what students need to learn for the exam at B2-level All new Pronunciation sections to help students develop their speaking skills. A CD-ROM with grammar and vocabulary exercises for motivating, flexible study. complete Cambridge English: First practice tests online for teachers to access. Minimum Requirements: for Windows 8 XP, Windows Vista, Windows7 or Windows 8. 2nd Edition.

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Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.

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ENGLISH FOR LAW STUDENTS is a part of the university course of legal English for academic purposes. It is addressed to law students of noncommon law countries. It is aimed at teaching students to understand the language of English law, its fundamental concepts and institutions. Its goal is to enable students to deal with different types of legal texts, to become knowledgeable in current legal issues, to use proper English legal terms with regard to their own legal systems. The final objective is to stimulate students’ interest in law and language. Although English for Law Students is designed as a part of the university course of legal English it can also be useful for students of the humanities, economics, social and political sciences, etc. in their self-study of English law and language.

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Choose an official Cambridge English course for the most authoritative exam preparation available! Compact First for Schools Second Edition is a concise and focused course which thoroughly prepares B2-level students for all four papers of the revised Cambridge English: First for Schools, also known as First Certificate in English (FCE) for Schools. Eight units provide 50-60 hours of core material to maximise the performance of school-age learners. Key features: - The Workbook provides extra practice in Reading, Writing and exam-style Listening for each unit of the Students Book. - Recordings for the listening exercises are available as flexible MP3 downloads. - Grammar and vocabulary exercises for each unit teach students to avoid common mistakes identified in Cambridges unique collection of real exam candidates answers. - An eight-page Writing section provides further dedicated practice for this part of the exam.

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Course book highlights nine principle topics of the module «First Aid» as a part of the subject «Health and Safety, Disaster Medicine» and contains key questions for each part as well as provisional tests for the students’ self-check. This course book can be helpful for the students taught by means of e-educational systems (including distant learning). The course book is designed for the tertiary medical students taught in English as well as for the foreign students attending classes as a part of the Russian-speaking groups. Besides it can be used as complementary reading by the University students, secondary medical schools students and medical-college students learning English.

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Complete First Second edition is an official preparation course for Cambridge English: First, also known as First Certificate in English (FCE). It combines the very best in contemporary classroom practice with first-hand knowledge of the challenges students face. The information, practice and advice contained in the course ensure that they are fully prepared for all parts of the test, with strategies and skills to maximise their score. Informed by Cambridges unique searchable database of real exam candidates answer papers, the Cambridge English Corpus, Complete First Second edition trains students to avoid common exam mistakes, guaranteeing teachers and students the most authoritative preparation for Cambridge English: First. Complete First Second edition Teachers Book features: - extensive teaching notes on how to get the most out of the Students Book, with suggestions for warmers and extension activities - a full answer key and recording scripts for the Students Book - complete practice tests online for teachers to access The Teachers Resources CD-ROM contains: - progress tests, each in two versions, to stop students sharing answers - word lists with definitions - a range of photocopiable activities and teaching notes For Microsoft Windows XP/Vista/7/8 or Mac OSX 10.6, 10.7, 10.8 2nd Edition.

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English For Law Students is a part of the university course of legal English for academic purposes. Its goal is to enable students to deal with different types of legal texts, to become knowledgeable in current legal issues, to use proper English legal terms with regard to their own legal systems. The final objective is to stimulate students interest in law and language. Although English for Law Students is designed as a part of the university course of legal English it can also be useful for students of the humanities, economics, social and political sciences, etc. in their self-study of English law and language. It is addressed to law students of non-common law countries. It is aimed at teaching students

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Complete First Second edition is an official preparation course for Cambridge English: First, also known as First Certificate in English (FCE). It combines the very best in contemporary classroom practice with first-hand knowledge of the challenges students face. The information, practice and advice contained in the course ensure that they are fully prepared for all parts of the test, with strategies and skills to maximise their score. Informed by Cambridges unique searchable database of real exam candidates answer papers, the Cambridge English Corpus, Complete First Second edition trains students to avoid common exam mistakes, guaranteeing teachers and students the most authoritative preparation for Cambridge English: First. Complete First Second edition Students Book with answers features: - topic-based units, providing language input and practice for each part of the exam papers. - regular Exam information and Exam advice boxes which explain the requirements of exam tasks. - Speaking and Writing references which focus on key skills required for the exam. - targeted vocabulary, drawing on research insights from English Profile, to focus on what students need to learn for the exam at B2-level. - all new Pronunciation sections to help students develop their speaking skills. - a CD-ROM with grammar and vocabulary exercises for motivating, flexible study. - complete Cambridge English: First practice tests online for teachers to access. System requirements Windows Intel Pentium 4 2GHz or faster Microsoft Windows XP (SP3), Vista (SP2), Windows 7, Windows 8 Minimum 1GB RAM Minimum 750MB of hard drive space Adobe Flash Player 10.3.183.7 or later Mac OS Intel Core TM Duo 1.83GHz or faster Mac OSX 10.5 or later Minimum 1GB RAM Minimum 750 of hard drive space Adobe Flash Player 10.3.183.7 or later 2nd Edition.

6897
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Complete First Second edition is an official preparation course for Cambridge English: First, also known as First Certificate in English (FCE). It combines the very best in contemporary classroom practice with first-hand knowledge of the challenges students face. The information, practice and advice contained in the course ensure that they are fully prepared for all parts of the test, with strategies and skills to maximise their score. Informed by Cambridges unique searchable database of real exam candidates answer papers, the Cambridge English Corpus, Complete First Second edition trains students to avoid common exam mistakes, guaranteeing teachers and students the most authoritative preparation for Cambridge English: First. Complete First Second edition Students Book with answers features: - topic-based units, providing language input and practice for each part of the exam papers. - regular Exam information and Exam advice boxes which explain the requirements of exam tasks. - Speaking and Writing references which focus on key skills required for the exam. - targeted vocabulary, drawing on research insights from English Profile, to focus on what students need to learn for the exam at B2-level. - all new Pronunciation sections to help students develop their speaking skills. - a CD-ROM with grammar and vocabulary exercises for motivating, flexible study. - complete Cambridge English: First practice tests online for teachers to access. System requirements Windows Intel Pentium 4 2GHz or faster Microsoft Windows XP (SP3), Vista (SP2), Windows 7, Windows 8 Minimum 1GB RAM Minimum 750MB of hard drive space Adobe Flash Player 10.3.183.7 or later Mac OS Intel Core TM Duo 1.83GHz or faster Mac OSX 10.5 or later Minimum 1GB RAM Minimum 750 of hard drive space Adobe Flash Player 10.3.183.7 or later 2nd Edition.

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The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers.

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Presents a self-contained introduction to continuum mechanics that illustrates how many of the important partial differential equations of applied mathematics arise from continuum modeling principles Written as an accessible introduction, Continuum Mechanics: The Birthplace of Mathematical Models provides a comprehensive foundation for mathematical models used in fluid mechanics, solid mechanics, and heat transfer. The book features derivations of commonly used differential equations based on the fundamental continuum mechanical concepts encountered in various fields, such as engineering, physics, and geophysics. The book begins with geometric, algebraic, and analytical foundations before introducing topics in kinematics. The book then addresses balance laws, constitutive relations, and constitutive theory. Finally, the book presents an approach to multiconstituent continua based on mixture theory to illustrate how phenomena, such as diffusion and porous-media flow, obey continuum-mechanical principles. Continuum Mechanics: The Birthplace of Mathematical Models features: Direct vector and tensor notation to minimize the reliance on particular coordinate systems when presenting the theory Terminology that is aligned with standard courses in vector calculus and linear algebra The use of Cartesian coordinates in the examples and problems to provide readers with a familiar setting Over 200 exercises and problems with hints and solutions in an appendix Introductions to constitutive theory and multiconstituent continua, which are distinctive for books at this level Continuum Mechanics: The Birthplace of Mathematical Models is an ideal textbook for courses on continuum mechanics for upper-undergraduate mathematics majors and graduate students in applied mathematics, mechanical engineering, civil engineering, physics, and geophysics. The book is also an excellent reference for professional mathematicians, physical scientists, and engineers.

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This book is intended to help the reader understand impact phenomena as a focused application of diverse topics such as rigid body dynamics, structural dynamics, contact and continuum mechanics, shock and vibration, wave propagation and material modelling. It emphasizes the need for a proper assessment of sophisticated experimental/computational tools promoted widely in contemporary design. A unique feature of the book is its presentation of several examples and exercises to aid further understanding of the physics and mathematics of impact process from first principles, in a way that is simple to follow.

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The main topic of this book is quantum mechanics, as the title indicates. It specifically targets those topics within quantum mechanics that are needed to understand modern semiconductor theory. It begins with the motivation for quantum mechanics and why classical physics fails when dealing with very small particles and small dimensions. Two key features make this book different from others on quantum mechanics, even those usually intended for engineers: First, after a brief introduction, much of the development is through Fourier theory, a topic that is at the heart of most electrical engineering theory. In this manner, the explanation of the quantum mechanics is rooted in the mathematics familiar to every electrical engineer. Secondly, beginning with the first chapter, simple computer programs in MATLAB are used to illustrate the principles. The programs can easily be copied and used by the reader to do the exercises at the end of the chapters or to just become more familiar with the material. Many of the figures in this book have a title across the top. This title is the name of the MATLAB program that was used to generate that figure. These programs are available to the reader. Appendix D lists all the programs, and they are also downloadable at http://booksupport.wiley.com

7889.26
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The book aims at providing to master and PhD students the basic knowledge in fluid mechanics for chemical engineers. Applications to mixing and reaction and to mechanical separation processes are addressed. The first part of the book presents the principles of fluid mechanics used by chemical engineers, with a focus on global theorems for describing the behavior of hydraulic systems. The second part deals with turbulence and its application for stirring, mixing and chemical reaction. The third part addresses mechanical separation processes by considering the dynamics of particles in a flow and the processes of filtration, fluidization and centrifugation. The mechanics of granular media is finally discussed.

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An engaging and accessible introduction to mathematical proof incorporating ideas from real analysis A mathematical proof is an inferential argument for a mathematical statement. Since the time of the ancient Greek mathematicians, the proof has been a cornerstone of the science of mathematics. The goal of this book is to help students learn to follow and understand the function and structure of mathematical proof and to produce proofs of their own. An Introduction to Proof through Real Analysis is based on course material developed and refined over thirty years by Professor Daniel J. Madden and was designed to function as a complete text for both first proofs and first analysis courses. Written in an engaging and accessible narrative style, this book systematically covers the basic techniques of proof writing, beginning with real numbers and progressing to logic, set theory, topology, and continuity. The book proceeds from natural numbers to rational numbers in a familiar way, and justifies the need for a rigorous definition of real numbers. The mathematical climax of the story it tells is the Intermediate Value Theorem, which justifies the notion that the real numbers are sufficient for solving all geometric problems. • Concentrates solely on designing proofs by placing instruction on proof writing on top of discussions of specific mathematical subjects • Departs from traditional guides to proofs by incorporating elements of both real analysis and algebraic representation • Written in an engaging narrative style to tell the story of proof and its meaning, function, and construction • Uses a particular mathematical idea as the focus of each type of proof presented • Developed from material that has been class-tested and fine-tuned over thirty years in university introductory courses An Introduction to Proof through Real Analysis is the ideal introductory text to proofs for second and third-year undergraduate mathematics students, especially those who have completed a calculus sequence, students learning real analysis for the first time, and those learning proofs for the first time. Daniel J. Madden, PhD, is an Associate Professor of Mathematics at The University of Arizona, Tucson, Arizona, USA. He has taught a junior level course introducing students to the idea of a rigorous proof based on real analysis almost every semester since 1990. Dr. Madden is the winner of the 2015 Southwest Section of the Mathematical Association of America Distinguished Teacher Award. Jason A. Aubrey, PhD, is Assistant Professor of Mathematics and Director, Mathematics Center of the University of Arizona.

7494.6
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Objective First Fourth Edition is official preparation for the revised Cambridge English: First exam, also known as First Certificate in English (FCE). It has been fully updated in line with the revised exam. The Workbook with answers with Audio CD provides opportunities for further practice of new language and skills either at home or in the classroom. It includes an exam-style listening exercise every other unit. Key features of the Objective First course: Vocabulary sections informed by the English Vocabulary Profile, part of the English Profile project, ensure that students learn the words and meanings they require at B2 level. A students CD-ROM provides extra practice of language and topics covered in the Students Book, and includes wordlists which may be used either with or without definitions. 24 units, each focusing on a different stimulating topic, make preparing for Cambridge English: First a manageable task. Complete Cambridge English: First practice tests are available online. Regular Exam Folders provide systematic exam preparation and practice, covering each paper in detail. Writing Folders every two units give practice in writing skills and exam technique for the range of skills needed for Paper 2. Corpus Spots use examples from the Cambridge Learner Corpus to highlight common learner errors and train students to avoid them. 4th Edition.

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An accessible, clear, concise, and contemporary course in geotechnical engineering, this key text: strikes a balance between theory and practical applications for an introductory course in soil mechanics keeps mechanics to a minimum for the students to appreciate the background, assumptions and limitations of the theories discusses implications of the key ideas to provide students with an understanding of the context for their application gives a modern explanation of soil behaviour is presented particularly in soil settlement and soil strength offers substantial on-line resources to support teaching and learning

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An activity book to accompany Collins First English Words, winner of the Best Entry for Young Learners prize at HRH The Duke of Edinburgh English Language Book Awards 2012. Encourage a love for learning English and capture the imagination of children. Through fun and engaging activities, young learners can practise the English words they need to learn with the help of Ben, Daisy and Keekee the monkey. - Covers the first English words children need to learn - Words grouped into themes - Fun, varied and engaging activities, written specifically to help young children develop their skills of analysis and improve their linguistic awareness - Beautiful illustrations - Plenty of space for children to practise their writing and drawing skills - Notes for parents and teachers Collins First English Words Activity Book 1 can be used independently or alongside the beautifully-illustrated dictionary, Collins First English Words. Activity Book 1 contains simple but engaging activities that will encourage children to look and read, and to pick up a pencil and write. It is the ideal starting point for developing a love of learning English, reading and writing for young children. Also available: First English Words, First English Words Activity Book 2, First English Words Teachers Book, First English Words Activity Pack.

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Praise for the Second Edition «An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential.» —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.

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An activity book to accompany Collins First English Words, winner of the Best Entry for Young Learners prize at HRH The Duke of Edinburgh English Language Book Awards 2012. Encourage a love for learning English and capture the imagination of children. Through fun and engaging activities, young learners can practise the English words they need to learn with the help of Ben, Daisy and Keekee the monkey. - Covers the first English words children need to learn - Words grouped into themes - Fun, varied and engaging activities, written specifically to help young children develop their skills of analysis and improve their linguistic awareness - Beautiful illustrations - Plenty of space for children to practise their writing and drawing skills - Notes for parents and teachers Collins First English Words Activity Book 2 can be used independently or alongside the beautifully-illustrated dictionary, Collins First English Words. Activity Book 2 builds on the skills developed in Activity Book 1 and includes activities that help children to further improve their ability to read and write. The activities will help build childrens confidence and equip them with the skills they need when starting primary school. Also available: First English Words, First English Words Activity Book 1, First English Words Teachers Book, First English Words Activity Pack.

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This book is a comprehensive account of five extended modules covering the key branches of twentieth-century theoretical physics, taught by the author over a period of three decades to students on bachelor and master university degree courses in both physics and theoretical physics. The modules cover nonrelativistic quantum mechanics, thermal and statistical physics, many-body theory, classical field theory (including special relativity and electromagnetism), and, finally, relativistic quantum mechanics and gauge theories of quark and lepton interactions, all presented in a single, self-contained volume. In a number of universities, much of the material covered (for example, on Einstein’s general theory of relativity, on the BCS theory of superconductivity, and on the Standard Model, including the theory underlying the prediction of the Higgs boson) is taught in postgraduate courses to beginning PhD students. A distinctive feature of the book is that full, step-by-step mathematical proofs of all essential results are given, enabling a student who has completed a high-school mathematics course and the first year of a university physics degree course to understand and appreciate the derivations of very many of the most important results of twentieth-century theoretical physics.

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An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.

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Complete First Second edition is an official preparation course for Cambridge English: First, also known as First Certificate in English (FCE). It combines the very best in contemporary classroom practice with first-hand knowledge of the challenges students face. The information, practice and advice contained in the course ensure that they are fully prepared for all parts of the test, with strategies and skills to maximise their score. Informed by Cambridges unique searchable database of real exam candidates answer papers, the Cambridge English Corpus, Complete First Second edition trains students to avoid common exam mistakes, guaranteeing teachers and students the most authoritative preparation for Cambridge English: First. Complete First Second edition Workbook without answers features: - topic-based units for homework which cover reading, writing and listening skills - further practice in the grammar and vocabulary taught in the Students Book - an Audio CD containing all the listening material for the Workbook 2nd Edition.

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Helpful advice for teaching Common Core Math Standards to middle-school students The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. Hands-on Activities for Teaching the Common Core Math Standards is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards. This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies. Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly Describes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real life This practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics.

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