Developing Essential Understanding Of Geometry For Teaching Mathematics In Grades 6 8
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Author |
: Nathalie Sinclair |
Publisher |
: National Council of Teachers of English |
Total Pages |
: 96 |
Release |
: 2012-01 |
ISBN-10 |
: 0873536916 |
ISBN-13 |
: 9780873536912 |
Rating |
: 4/5 (16 Downloads) |
Synopsis Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8 by : Nathalie Sinclair
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.
Author |
: Gwendolyn M. Lloyd |
Publisher |
: National Council of Teachers of English |
Total Pages |
: 116 |
Release |
: 2011 |
ISBN-10 |
: 0873536703 |
ISBN-13 |
: 9780873536707 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Mathematics in Grades 6-8 by : Gwendolyn M. Lloyd
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.
Author |
: Nathalie Sinclair |
Publisher |
: National Council of Teachers of English |
Total Pages |
: 95 |
Release |
: 2012 |
ISBN-10 |
: 0873536924 |
ISBN-13 |
: 9780873536929 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12 by : Nathalie Sinclair
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.
Author |
: Richard Lehrer |
Publisher |
: |
Total Pages |
: 91 |
Release |
: 2014-06 |
ISBN-10 |
: 087353669X |
ISBN-13 |
: 9780873536691 |
Rating |
: 4/5 (9X Downloads) |
Synopsis Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5 by : Richard Lehrer
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.
Author |
: Joanne Elizabeth Lobato |
Publisher |
: National Council of Teachers of English |
Total Pages |
: 0 |
Release |
: 2010 |
ISBN-10 |
: 0873536223 |
ISBN-13 |
: 9780873536226 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 by : Joanne Elizabeth Lobato
"A series for teaching mathematics."--P. [1] of cover.
Author |
: Nathalie Sinclair |
Publisher |
: |
Total Pages |
: 96 |
Release |
: 2012 |
ISBN-10 |
: 0873538234 |
ISBN-13 |
: 9780873538237 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8 by : Nathalie Sinclair
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.
Author |
: John K. Lannin |
Publisher |
: National Council of Teachers of English |
Total Pages |
: 95 |
Release |
: 2011 |
ISBN-10 |
: 0873536665 |
ISBN-13 |
: 9780873536660 |
Rating |
: 4/5 (65 Downloads) |
Synopsis Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten-grade 8 by : John K. Lannin
How do your students determine whether a mathematical statement is true? Do they rely on a teacher, a textbook or various examples? How can you encourage them to connect examples, extend their ideas to new situations that they have not yet considered and reason more generally? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of mathematical reasoning requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about mathematical reasoning. It is organised around one big idea, supported by multiple smaller, interconnected ideas - essential understandings.Taking you beyond a simple introduction to mathematical reasoning, 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.
Author |
: Gary Kader |
Publisher |
: National |
Total Pages |
: 112 |
Release |
: 2013 |
ISBN-10 |
: 087353672X |
ISBN-13 |
: 9780873536721 |
Rating |
: 4/5 (2X Downloads) |
Synopsis Developing Essential Understanding of Statistics for Teaching Mathematics in Grades 6-8 by : Gary Kader
How does working with data in statistics differ from working with numbers in mathematics? What is variability, and how can we describe and measure it? How can we display distributions of quantitative or categorical data? What is a data sample, and how can we choose one that will allow us to draw valid conclusions from data? How much do you know? and how much do you need to know? Helping your students develop a robust understanding of statistics requires that you understand fundamental statistical concepts deeply. But what does that mean? This book focuses on essential knowledge for mathematics teachers about statistics. It is organised around four big ideas, supported by multiple smaller, interconnected ideas. Taking you beyond a simple introduction to statistics, 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.
Author |
: Terry Crites |
Publisher |
: National Council of Teachers of English |
Total Pages |
: 0 |
Release |
: 2018 |
ISBN-10 |
: 0873537343 |
ISBN-13 |
: 9780873537346 |
Rating |
: 4/5 (43 Downloads) |
Synopsis Putting Essential Understanding of Geometry Into Practice in Grades 6-8 by : Terry Crites
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.
Author |
: Zandra De Araujo |
Publisher |
: National |
Total Pages |
: |
Release |
: 2018-08 |
ISBN-10 |
: 0873537351 |
ISBN-13 |
: 9780873537353 |
Rating |
: 4/5 (51 Downloads) |
Synopsis Putting Essential Understanding of Expressions and Equations Into Practice in Grades 6-8 by : Zandra De Araujo