Touchstone Level 3 Student's Book B with Online Workbook B

Touchstone Level 3 Student's Book B with Online Workbook B

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  • Author: Michael McCarthy
  • Publisher: Cambridge University Press
  • ISBN: 9781107687462
  • Category : Foreign Language Study
  • Languages : en
  • Pages : 154

Touchstone, together with Viewpoint, is a six-level English program based on research from the Cambridge English Corpus. Touchstone uses a corpus-informed syllabus ensuring students are learning the language that people really use. Activities include a strong focus on inductive learning, personalized practice, and encouraging learner autonomy. Student's Book, Level 3B, includes Units 7-12 of Level 3 Student's Book and is at the low intermediate CEFR level (A2-B1). This version of the Student's Book contains an activation code that grants access to the Online Workbook, Level 3B for 12 months. The Online Workbook provides practice of the language studied in the Student's Book. Exercises are graded automatically and students can easily track their progress and scores.


Touchstone 1 A Workbook A Level 1

Touchstone 1 A Workbook A Level 1

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  • Author: Michael J. McCarthy
  • Publisher: Cambridge University Press
  • ISBN: 9780521601320
  • Category : Foreign Language Study
  • Languages : en
  • Pages : 60

Easy and enjoyable to teach, Touchstone is packed with new and exciting ideas, offering a fresh approach to the teaching and learning of English.


Touchstone Level 3 Student's Book B

Touchstone Level 3 Student's Book B

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  • Author: Michael McCarthy
  • Publisher: Cambridge University Press
  • ISBN: 1107694469
  • Category : Foreign Language Study
  • Languages : en
  • Pages : 87

Touchstone, together with Viewpoint, is a six-level English program, based on research from the Cambridge English Corpus. Touchstone uses a corpus-informed syllabus ensuring students are learning the language that people really use. Activities include a strong focus on inductive learning, personalized practice, and encouraging learner autonomy. Student's Book, Level 3B, includes Units 7-12 of Level 3 Student's Book and is at the low intermediate CEFR level (A2-B1).


Viewpoint Level 1 Workbook B

Viewpoint Level 1 Workbook B

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  • Author: Michael McCarthy
  • Publisher: Cambridge University Press
  • ISBN: 1107602793
  • Category : Foreign Language Study
  • Languages : en
  • Pages : 57

Viewpoint is an innovative course that's based on extensive research into the Cambridge English Corpus, taking students from a high intermediate to advanced level of proficiency (CEFR: B2 - C1). Viewpoint Level 1 Workbook B provides follow-up exercises for Units 7 to 12 of the Level 1 Student's Book, providing additional practice of vocabulary, grammar, and conversation strategies, as well extra reading, writing and listening activities. (Viewpoint Level 1 Workbook A contains material for Units 1 to 6 and is available separately.)


Touchstone Level 2 Student's Book

Touchstone Level 2 Student's Book

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  • Author: Michael McCarthy
  • Publisher: Cambridge University Press
  • ISBN: 1107681731
  • Category : Foreign Language Study
  • Languages : en
  • Pages : 161

"Touchstone is an innovative four-level series for adults and young adults, taking students from beginning to intermediate levels (CEFR: A1-B2). Based on research into the Cambridge English Corpus, Touchstone teaches English as it is really used. It presents natural language in authentic contexts, and explicitly develops conversation strategies so learners speak with fluency and confidence."--Page 4 of cover.


Touchstone Level 4 Student's Book A

Touchstone Level 4 Student's Book A

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  • Author: Michael McCarthy
  • Publisher: Cambridge University Press
  • ISBN: 1107624304
  • Category : Foreign Language Study
  • Languages : en
  • Pages : 85

Touchstone, together with Viewpoint, is a six-level English program, based on research from the Cambridge English Corpus. Touchstone uses a corpus-informed syllabus ensuring students are learning the language that people really use. Activities include a strong focus on inductive learning, personalized practice, and encouraging learner autonomy. Student's Book, Level 4A includes Units 1-6 of the Level 4 Student's Book and is at the intermediate CEFR level (B1-B2).


From Frenet to Cartan: The Method of Moving Frames

From Frenet to Cartan: The Method of Moving Frames

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  • Author: Jeanne N. Clelland
  • Publisher: American Mathematical Soc.
  • ISBN: 1470429527
  • Category : Mathematics
  • Languages : en
  • Pages : 433

The method of moving frames originated in the early nineteenth century with the notion of the Frenet frame along a curve in Euclidean space. Later, Darboux expanded this idea to the study of surfaces. The method was brought to its full power in the early twentieth century by Elie Cartan, and its development continues today with the work of Fels, Olver, and others. This book is an introduction to the method of moving frames as developed by Cartan, at a level suitable for beginning graduate students familiar with the geometry of curves and surfaces in Euclidean space. The main focus is on the use of this method to compute local geometric invariants for curves and surfaces in various 3-dimensional homogeneous spaces, including Euclidean, Minkowski, equi-affine, and projective spaces. Later chapters include applications to several classical problems in differential geometry, as well as an introduction to the nonhomogeneous case via moving frames on Riemannian manifolds. The book is written in a reader-friendly style, building on already familiar concepts from curves and surfaces in Euclidean space. A special feature of this book is the inclusion of detailed guidance regarding the use of the computer algebra system Maple™ to perform many of the computations involved in the exercises.


Touchstone Level 4 Full Contact

Touchstone Level 4 Full Contact

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  • Author: Michael McCarthy
  • Publisher: Cambridge University Press
  • ISBN: 1107661528
  • Category : Foreign Language Study
  • Languages : en
  • Pages : 321

Touchstone, together with Viewpoint, is a six-level English program, based on research from the Cambridge English Corpus. Touchstone Second Edition Full Contact with DVD, Level 4 includes four key components of the Touchstone Second Edition series: Student's Book, Level 4; Workbook, Level 4; Level 4 Video Activity Pages; and Video on DVD.


Bowling Alone: Revised and Updated

Bowling Alone: Revised and Updated

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  • Author: Robert D. Putnam
  • Publisher: Simon & Schuster
  • ISBN: 1982130849
  • Category : History
  • Languages : en
  • Pages : 592

Updated to include a new chapter about the influence of social media and the Internet—the 20th anniversary edition of Bowling Alone remains a seminal work of social analysis, and its examination of what happened to our sense of community remains more relevant than ever in today’s fractured America. Twenty years, ago, Robert D. Putnam made a seemingly simple observation: once we bowled in leagues, usually after work; but no longer. This seemingly small phenomenon symbolized a significant social change that became the basis of the acclaimed bestseller, Bowling Alone, which The Washington Post called “a very important book” and Putnam, “the de Tocqueville of our generation.” Bowling Alone surveyed in detail Americans’ changing behavior over the decades, showing how we had become increasingly disconnected from family, friends, neighbors, and social structures, whether it’s with the PTA, church, clubs, political parties, or bowling leagues. In the revised edition of his classic work, Putnam shows how our shrinking access to the “social capital” that is the reward of communal activity and community sharing still poses a serious threat to our civic and personal health, and how these consequences have a new resonance for our divided country today. He includes critical new material on the pervasive influence of social media and the internet, which has introduced previously unthinkable opportunities for social connection—as well as unprecedented levels of alienation and isolation. At the time of its publication, Putnam’s then-groundbreaking work showed how social bonds are the most powerful predictor of life satisfaction, and how the loss of social capital is felt in critical ways, acting as a strong predictor of crime rates and other measures of neighborhood quality of life, and affecting our health in other ways. While the ways in which we connect, or become disconnected, have changed over the decades, his central argument remains as powerful and urgent as ever: mending our frayed social capital is key to preserving the very fabric of our society.


Touchstone Level 3 Workbook B

Touchstone Level 3 Workbook B

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  • Author: Michael McCarthy
  • Publisher: Cambridge University Press
  • ISBN: 9781107651470
  • Category : Foreign Language Study
  • Languages : en
  • Pages : 56

Touchstone, together with Viewpoint, is a six-level English program based on research from the Cambridge English Corpus. Touchstone Second Edition Workbook, Level 3B provides practice of the language studied in Units 7-12 of the Student's Book. Activities can be used for homework or in class.