This book summarizes new directions in mathematics education research on proving at the university level, thereby providing contemporary extensions of the sub-fields of proof that Annie and John Selden introduced to the field. The chapters each describe an emerging new area of proof research, review the relevant findings in this area, present open research questions and the tools to address them. The book also discusses proof as a literary genre, and how students' feelings during the proof...

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...

Keith Weber recalls a lifetime of being an entrepreneur and living life to the fullest during his forty-five years in New Zealand and now forty years in Australia in this memoir. He grew up with his uncle and aunt, but he loved them as though they were his parents. When his mother remarried, he was told he could go live with her and his stepfather, but he decided to stay put. He enjoyed being a Boy Scout, went to Sunday School, loved Rugby Union, and observed with interest the happenings s...

Whether we grow up with one, two, or several languages during our early years of life, many of us will learn a second, foreign, or heritage language in later years. The field of Second language acquisition (SLA, for short) investigates the human capacity to learn additional languages in late childhood, adolescence, or adulthood, after the first language --in the case of monolinguals-- or languages --in the case of bilinguals-- have already been acquired. Understanding Second Language A...

This QuickStudy guide includes everything the first year calculus student needs to gain a strong understanding of the basic calculus concepts. It includes: functions, limits, continuity, derivatives & analysis, integration, and much more!

A rich, immersive, funny and heartbreaking memoir of the charming bookseller who runs three tiny bookshops in the remote village of Manapouri in Fiordland, in the deep south of New Zealand.'An extraordinary story.' Shaun Bythell, The Diary of a BooksellerRuth Shaw weaves together stories of the characters who visit her bookshops, musings about favourite books, and bittersweet stories from her full and varied life.She's sailed through the Pa...

Introducing Second Language Acquisition: Perspectives and Practices represents a clear and concise introduction to the main concepts, issues, and debates in second language acquisition studies aimed specifically at undergraduates encountering the topic for the first time.Follows six fictitious language learners throughout the text whose stories serve to introduce various concepts and issuesContains specific chapters on first language acquisition and bilingu...

Want to know what really goes on on an aeroplane? Let's go behind the scenes and fly high with these tall tales and gossip from the galley!Everyone wants to be a flight attendant, or at least they want to know about the cushy lifestyle they lead – flying to exotic destinations, swanning about in five-star hotels, daytime lazing around the pool and night-time tabletop dancing with Bollywood stars. At last the lid is lifted. Come on board a real airline with a real f...

Interpretative phenomenological analysis (IPA) is a qualitative research approach committed to the examination of how people make sense of their major life experiences. This text provides a detailed guide to conducting IPA research, presenting the theoretical underpinnings of the approach, a comprehensive overview of the stages of an IPA research project, and examples of high-quality IPA studies.Extended worked examples from the authors′ own studies in health, psychological distres...

The world's greatest mental mathematical magician takes us on a spellbinding journey through the wonders of numbers (and more)"Arthur Benjamin . . . joyfully shows you how to make nature's numbers dance." -- Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mat...

Gordon Ramsay is the most exciting and high-profile chef of today. His amazing talent, huge personality and non-nonsense attitude have propelled him to the top of his profession and won him legions of admirers the world over. His television programmes such as Ramsay's Kitchen Nightmares and The F Word attract huge audiences; viewers just can't seem to get enough of this driven, outspoken kitchen wizard. But what lies behind the man in the chef's whites and just how did he manoeuvre himself...

Second language students not only need strategies for drafting and revising to write effectively, but also a clear understanding of genre so that they can appropriately structure their writing for various contexts. Over that last decade, increasing attention has been paid to the notion of genre and its central place in language teaching and learning. Genre and Second Language Writing enters into this important debate, providing an accessible introduction to current theory and rese...