Understanding the Math We Teach and How to Teach It, K-8, Small Marian

Автор: David Costello
Название: Making Math Stick: Classroom strategies that support the long-term understanding of math concepts
ISBN: 1551383500 ISBN-13(EAN): 9781551383507
Издательство: Taylor&Francis
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Цена: 32650.00 T
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Описание: This remarkable book shows teachers how to stop working harder and start working smarter. It describes a shift from ""teach-test-move-on"" to ""teach-connect-apply"" to optimise student learning. This valuable resource provides teachers with an understanding of simple, manageable, and sustainable strategies to change their approach immediately.

Автор: Barbara J. Dougherty, Karen S. Karp
Название: Putting Essential Understanding into Practice: Number and Numeration PK-2
ISBN: 0873537165 ISBN-13(EAN): 9780873537162
Издательство: Mare Nostrum (Eurospan)
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Цена: 36760.00 T
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Описание: Do your students say that one object is “bigger” than another without attending more precisely to the attribute they are comparing? Do they have difficulty naming numbers from 11 to 19? Do some students still count all while their classmates are counting on or counting by tens?What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking?This book focuses on the specialized pedagogical content knowledge that you need to teach number and numeration effectively in prekindergarten–grade 2. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with these computations—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of number and numeration. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.You have essential understanding. It’s time to put it into practice in your teaching.The Putting Essential Understanding into Practice Series moves NCTM’s Essential Understanding Series into the classroom. The new series details and explores best practices for teaching the essential ideas that students must grasp about fundamental topics in mathematics—topics that are challenging to learn and teach but are critical to the development of mathematical understanding. Classroom vignettes and samples of student work bring each topic to life, and questions for reader reaction open it up for hands-on exploration. Each volume underscores connections with the Common Core State Standards for Mathematics while highlighting the knowledge of learners, curriculum, instructional strategies, and assessment that pedagogical content knowledge entails. Resources and tasks are available at nctm.org/more4U.Maximize the potential of student-centered learning and teaching by putting essential understanding into practice.

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
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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.

Автор: Kristen Bieda, Eric Knuth, Amy Ellis
Название: Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12
ISBN: 0873536754 ISBN-13(EAN): 9780873536752
Издательство: Mare Nostrum (Eurospan)
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Цена: 36960.00 T
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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.

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
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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.

Автор: National Council of Teachers of Mathematics
Название: Putting Essential Understanding into Practice: Statistics, 9-12
ISBN: 0873537378 ISBN-13(EAN): 9780873537377
Издательство: Mare Nostrum (Eurospan)
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Цена: 37890.00 T
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Описание: Focuses on the specialized pedagogical content knowledge that you need to teach statistics effectively in grades 9-12. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with statistics.

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
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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.

Автор: Kathryn Chval, John Lannin, Dusty Jones
Название: Putting Essential Understanding of Geometry and Measurement Into Practice in Grades 3–5
ISBN: 0873537335 ISBN-13(EAN): 9780873537339
Издательство: Mare Nostrum (Eurospan)
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Цена: 36760.00 T
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Описание: Do your students have “concept images” that limit their ideas of shapes to specific examples, oriented in particular ways? Do they confuse the size of an angle with the length of the rays in a drawing of an angle? When solving problems, do they mix up the concepts of perimeter—the distance around a shape, measured in linear units—and area—the region within the shape, measured in square units?What tasks can you offer—what questions can you ask—to determine what they know or don’t know—and move them forward in their thinking?This book focuses on the specialized pedagogical content knowledge that you need to teach geometry and measurement effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with geometry and measurement—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of geometry and measurement. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.Putting Essential Understanding of Geometry and Measurement into Practice in Grades 3–5 is the eighth title in NCTM’s highly useful and very readable Putting Essential Understanding into Practice Series, edited by Barbara J. Dougherty. Each volume in the series builds on the companion volume in the earlier Essential Understanding Series to show teachers how to implement their understanding of mathematics in the classroom.

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
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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.

Название: Putting Essential Understanding of Geometry and Measurement into Practice in Grades Pre-K-2
ISBN: 0873537319 ISBN-13(EAN): 9780873537315
Издательство: Mare Nostrum (Eurospan)
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Цена: 38810.00 T
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Описание: Focuses on the specialized pedagogical content knowledge that you need to teach geometry and measurement effectively in prekindergarten to grade 2. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with these concepts.

Автор: Mary Fiore, Ryan Tackaberry
Название: Making Sense of Number, K-10: Getting to Know Your Students So You Can Support the Development of their Mathematical Understanding
ISBN: 1551383322 ISBN-13(EAN): 9781551383323
Издательство: Taylor&Francis
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Цена: 32650.00 T
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Описание: Shows you how to get to know the needs and abilities of your students so you can help them make sense of maths concepts. You will discover how to structure learning experiences around key number concepts: quantity, counting, relating, and representing.

Автор: Terry Crites, Barbara J. Dougherty, Hannah Slovin, Karen Karp
Название: Putting Essential Understanding of Geometry into Practice in Grades 6–8
ISBN: 0873537343 ISBN-13(EAN): 9780873537346
Издательство: Mare Nostrum (Eurospan)
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Цена: 37890.00 T
Наличие на складе: Невозможна поставка.
Описание: Learn about the specialized pedagogical content knowledge you need to teach geometry 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 geometry-not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.