Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5 - 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 and Measurement for Teaching Mathematics in Grades 3-5 write by Richard Lehrer. This book was released on 2014-06. Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5 available in PDF, EPUB and Kindle. How can you introduce terms from geometry and measurement so that your students’ vocabulary will enhance their understanding of concepts and definitions? What can you say to clarify the thinking of a student who claims that perimeter is always an even number? How does knowing what changes or stays the same when shapes are transformed help you support and extend your students’ understanding of shapes and the space that they occupy? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry and measurement requires that you understand fundamental statistical concepts deeply. But what does that mean? This book focuses on essential knowledge for mathematics teachers about geometry and measurement. It is organized around three big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry and measurement, the book will broaden and deepen your 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 Geometry for Teaching Mathematics in Grades 6-8
Developing Essential Understanding of Geometry 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 Geometry for Teaching Mathematics in Grades 6-8 write by Nathalie Sinclair. This book was released on 2012-01. Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8 available in PDF, EPUB and Kindle. Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful? 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 organized 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.
Putting Essential Understanding of Fractions Into Practice in Grades 3-5
Putting Essential Understanding of Fractions Into Practice in Grades 3-5 - 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 Putting Essential Understanding of Fractions Into Practice in Grades 3-5 write by Kathryn Bouchard Chval. This book was released on 2013. Putting Essential Understanding of Fractions Into Practice in Grades 3-5 available in PDF, EPUB and Kindle. Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? 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 specialised pedagogical content knowledge that you need to teach fractions 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 fractions—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 fractions. 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.
Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Mathematics in Grades 6-8
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
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.
