Shifts in the Field of Mathematics Education, Peter Gates; Robyn Jorgensen (Zevenbergen)
Автор: Peter Gates; Robyn Jorgensen (Zevenbergen) Название: Shifts in the Field of Mathematics Education ISBN: 9812871780 ISBN-13(EAN): 9789812871787 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Professor Stephen Lerman has been a leader in the field of mathematics education for thirty years. Stephen retired from South Bank University in 2012, where he had worked for over 20 years, though he continues to work at Loughborough University.
Автор: Stroud K A Название: Advanced Engineering Mathematics ISBN: 0230275486 ISBN-13(EAN): 9780230275485 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Поставка под заказ.
Описание: This bestselling textbook is a comprehensive course for undergraduates in engineering and science from second year level onwards. Its highly successful technique-oriented approach guides the student through the development of each topic. There are hundreds of worked examples and exercises. New material has been added throughout this edition.
Автор: Van Brummelen Glen Название: Heavenly Mathematics ISBN: 0691148929 ISBN-13(EAN): 9780691148922 Издательство: Wiley Рейтинг: Цена: 4744.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. "Heavenly Mathematics" traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegant proofs and often surprising conclusions.
"Heavenly Mathematics" is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries.
Описание: Assessment for Learning is a powerful way to raise standards in school. This book shows how to overcome many of the difficulties that mathematics teachers have discovered as they try to introduce assessment for learning into their classrooms. Many pupils find it hard to express their ideas in mathematics because of problems with the language that is used to express mathematical concepts. The book shows how to help pupils express what they really know and understand so that Assessment for Learning can be used effectively. The book discusses what mathematical language is, and what it is not so that teachers can help their pupils use language to successfully express their mathematical ideas. It suggests practical approaches to introducing more discourse into the classroom and shows the improvements in learning that can be expected as a result. "The ideas of Assessment for Learning", rich questioning and dialogue, effective feedback and peer & self-assessment, are explored and suggestions are made for effective use of each idea in the mathematics classroom. The book shows how using Assessment for Learning depends on the pupils being able and willing to use mathematical language to express their ideas. When the difficulties of using mathematical language are acknowledged and the pupils are overtly helped to engage with and overcome those difficulties then learning increases. A mathematics classroom that uses discussion, negotiation and explanation as a matter of course, is a classroom where the work quickly becomes more challenging and the pupils see themselves as successful learners. A pupil who can express their mathematical ideas is one who knows just how much they understand and what they need to tackle next. A teacher, who is part of such discourse, is able to use formative assessment to tailor the learning to allow the pupils to reach the highest standards. Many of the ideas advocated in the book are the result of applying theory to practice using cycles of Action Research. The book will include an explanation of this approach and how it can be used to develop good practice. The approaches advocated are rooted in theories of learning and language use. I therefore include a section in the book for those who may wish to take their study to a greater depth or to be convinced of the research backound to these ideas.
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