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Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12, Kristen Bieda, Eric Knuth, Amy Ellis


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Цена: 36960.00T
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Автор: Kristen Bieda, Eric Knuth, Amy Ellis
Название:  Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12
ISBN: 9780873536752
Издательство: Mare Nostrum (Eurospan)
Классификация:



ISBN-10: 0873536754
Обложка/Формат: Paperback
Страницы: 102
Вес: 0.26 кг.
Дата издания: 30.10.2012
Серия: Developing essential understanding
Язык: English
Размер: 254 x 181 x 7
Читательская аудитория: Professional and scholarly
Ключевые слова: Numeracy strategies,Teaching skills & techniques,Teaching of a specific subject,Mathematics
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Поставляется из: Англии
Описание: What is the difference between “proof” in mathematics and “proof” in science or a court of law? In mathematics, how does proof differ from other types of arguments? What forms can proof take besides the traditional two-column style? What activities constitute the process of proving? What roles do examples play in proving? Can examples ever prove a conjecture? Why does a single counterexample refute a conjecture?How much do you know…and how much do you need to know?Helping your students develop a robust understanding of mathematical proof and proving requires that you understand this aspect of mathematics deeply. But what does that mean?This book focuses on essential knowledge for teachers about proof and the process of proving. It is organised around five big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to proof and the activities involved in proving, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students…and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic.Focus on the ideas that you need to understand thoroughly to teach confidently.

Cambridge Primary Mathematics Stage 6 Learner`s Book

Автор: Low Emma
Название: Cambridge Primary Mathematics Stage 6 Learner`s Book
ISBN: 1107618592 ISBN-13(EAN): 9781107618596
Издательство: Cambridge Education
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Цена: 19970.00 T
Наличие на складе: Есть
Описание: This series is endorsed by Cambridge International Examinations and is part of Cambridge Maths. Children will enjoy learning mathematics with this fun and attractive learner's book for stage 6. A variety of questions, activities, investigations and games that are designed to reinforce the concepts learnt in the core activities in the teacher's guide and address misconceptions are included along with hints and tips. Clear, often pictorial, explanation of mathematical vocabulary will help children learn new terms whether they are native English speakers or second language speakers and great care has been made to ensure language is accessible.

Cambridge IGCSE Mathematics. Core and Extended Coursebook

Автор: Morrison, K.
Название: Cambridge IGCSE Mathematics. Core and Extended Coursebook
ISBN: 1316605639 ISBN-13(EAN): 9781316605639
Издательство: Cambridge Education
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Цена: 40370.00 T
Наличие на складе: Невозможна поставка.
Описание: This Revised Edition of Cambridge IGCSE Mathematics has been updated to reflect changes in the 0580 syllabus and ensure full syllabus coverage. With clearly marked core and extended material, the coursebook provides clear explanations and practice exercises to help students master mathematical skills.

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8

Автор: Nathalie Sinclair, David Pimm, Melanie Skelin
Название: Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8
ISBN: 0873536916 ISBN-13(EAN): 9780873536912
Издательство: Mare Nostrum (Eurospan)
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Цена: 36960.00 T
Наличие на складе: Невозможна поставка.
Описание: By exploring the other side of what is prescriptively understood as proper Asian gastronomy, Robert Ji-Song Ku suggests that Asian cultural expressions occurring in places such as Los Angeles, Honolulu, New York, and even Baton Rouge are no less critical to understanding the meaning of Asian food - and, by extension, Asian people - than culinary expressions that took place in Tokyo and Shanghai.

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12

Автор: Nathalie Sinclair, David Pimm, Melanie Skelin
Название: Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12
ISBN: 0873536924 ISBN-13(EAN): 9780873536929
Издательство: Mare Nostrum (Eurospan)
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Цена: 36960.00 T
Наличие на складе: Невозможна поставка.
Описание: Focuses on essential knowledge for teachers about geometry. It is organised around four big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students-and teachers.

Putting Essential Understanding of Geometry into Practice: 9-12

Автор: National Council of Teachers of Mathematics
Название: Putting Essential Understanding of Geometry into Practice: 9-12
ISBN: 087353736X ISBN-13(EAN): 9780873537360
Издательство: Mare Nostrum (Eurospan)
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Цена: 38810.00 T
Наличие на складе: Невозможна поставка.
Описание: Focuses on the specialized pedagogical content knowledge that you need to teach geometry effectively in grades 9-12. The authors demonstrate how to use this multifaceted knowledge to dispel students` misconceptions and replace them with the steadily developing understanding that students need for success with geometry.

Teaching Essential Mathematics, Grades K-8

Автор: McNamara T
Название: Teaching Essential Mathematics, Grades K-8
ISBN: 1412941881 ISBN-13(EAN): 9781412941884
Издательство: Sage Publications
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Цена: 28500.00 T
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Описание: Provides an overview of essential mathematics concepts, plus classroom-ready activities aligned with NCTM content standards, calculator exercises, a glossary of mathematical terms, and reproducible blackline masters.

Advances in mathematics education research on proof and proving

Автор: Andreas Stylianides; Guershon Harel
Название: Advances in mathematics education research on proof and proving
ISBN: 331970995X ISBN-13(EAN): 9783319709956
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.

Proof and Proving in Mathematics Education

Автор: Gila Hanna; Michael de Villiers
Название: Proof and Proving in Mathematics Education
ISBN: 9401780668 ISBN-13(EAN): 9789401780667
Издательство: Springer
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Цена: 213360.00 T
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Описание: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK*One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced.

Putting Essential Understanding of Ratios and Proportions into Practice in Grades 6-8

Автор: National Council of Teachers of Mathematics
Название: Putting Essential Understanding of Ratios and Proportions into Practice in Grades 6-8
ISBN: 0873537173 ISBN-13(EAN): 9780873537179
Издательство: Mare Nostrum (Eurospan)
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Цена: 36030.00 T
Наличие на складе: Невозможна поставка.
Описание: Focuses on the specialized pedagogical content knowledge that you need to teach ratios and proportions effectively in grades 6-8. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with ratios and proportions.


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