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

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Author :
Release : 2010
Genre : Curriculum enrichment
Kind :
Book Rating : 233/5 ( reviews)

Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12 write by Thomas J. Cooney. This book was released on 2010. Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12 available in PDF, EPUB and Kindle. Are sequences functions? Why can’t the popular “vertical line test” be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? How much do you know… and how much do you need to know? Helping your high school students develop a robust understanding of functions requires that you understand mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to functions, this 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.

Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12

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Author :
Release : 2012
Genre : Education
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Book Rating : /5 ( reviews)

Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12 write by Amy B. Ellis. This book was released on 2012. Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12 available in PDF, EPUB and Kindle. 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.

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

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Author :
Release : 2012
Genre : Education, Secondary
Kind :
Book Rating : 929/5 ( reviews)

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12 write by Nathalie Sinclair. This book was released on 2012. Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12 available in PDF, EPUB and Kindle. Why does it matter whether we state definitions carefully when we all know what particular geometric figures look like? What does it mean to say that a reflection is a transformation—a function? How does the study of transformations and matrices in high school connect with later work with vector spaces in linear algebra? How much do you know… and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book 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. 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. Move beyond the mathematics you expect your students to learn. Students who fail to get a solid grounding in pivotal concepts struggle in subsequent work in mathematics and related disciplines. By bringing a deeper understanding to your teaching, you can help students who don’t get it the first time by presenting the mathematics in multiple ways. The Essential Understanding Series addresses topics in school mathematics that are critical to the mathematical development of students but are often difficult to teach. Each book in the series gives an overview of the topic, highlights the differences between what teachers and students need to know, examines the big ideas and related essential understandings, reconsiders the ideas presented in light of connections with other mathematical ideas, and includes questions for readers’ reflection.

Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Mathematics in Grades 6-8

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Author :
Release : 2011
Genre : Effective teaching
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Book Rating : 707/5 ( reviews)

Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Mathematics in Grades 6-8 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Mathematics in Grades 6-8 write by Gwendolyn M. Lloyd. This book was released on 2011. Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Mathematics in Grades 6-8 available in PDF, EPUB and Kindle. Why do some equations have one solution, others two or even more solutions and some no solutions? Why do we sometimes need to ""switch"" the direction of an inequality symbol in solving an inequality? What could you say if a student described a function as an equation? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of expressions, equations and functions requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about expressions, equations and functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas - essential understandings. Taking you beyond a simple introduction to expressions, equations and functions, 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.

Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8

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Author :
Release : 2010
Genre : Curriculum planning
Kind :
Book Rating : 226/5 ( reviews)

Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 write by Joanne Elizabeth Lobato. This book was released on 2010. Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 available in PDF, EPUB and Kindle. "A series for teaching mathematics."--P. [1] of cover.