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Putting Essential Understanding of Geometry Into Practice in Grades 6-8

Putting Essential Understanding of Geometry Into Practice in Grades 6-8
Author: Terry Crites
Publisher: National Council of Teachers of English
Total Pages: 0
Release: 2018
Genre: Geometry
ISBN: 9780873537346

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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.


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

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8
Author: Nathalie Sinclair
Publisher:
Total Pages: 96
Release: 2012
Genre:
ISBN: 9780873538237

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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.


Answers to Your Biggest Questions About Teaching Secondary Math

Answers to Your Biggest Questions About Teaching Secondary Math
Author: Frederick L. Dillon
Publisher: Corwin Press
Total Pages: 159
Release: 2022-03-22
Genre: Education
ISBN: 1071870807

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Let’s face it, teaching secondary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Teaching math in a student-centered way changes the role of the teacher from one who traditionally "delivers knowledge" to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching secondary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues—especially new teachers—every day. Questions and answers are organized into five areas of effort that will help you most thrive in your secondary math classroom: How do I build a positive math community? How do I structure, organize, and manage my math class? How do I engage my students in math? How do I help my students talk about math? How do I know what my students know and move them forward? Woven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question—Where do I go from here?— offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey?


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

Putting Essential Understanding of Ratios and Proportions Into Practice in Grades 6-8
Author: Travis Olson
Publisher: National Council of Teachers of English
Total Pages: 0
Release: 2015
Genre: Ratio and proportion
ISBN: 9780873537179

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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.


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
Author: Gwendolyn M. Lloyd
Publisher: National Council of Teachers of English
Total Pages: 116
Release: 2011
Genre: Effective teaching
ISBN: 9780873536707

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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 Geometry for Teaching Mathematics in Grades 6-8

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8
Author: Nathalie Sinclair
Publisher: National Council of Teachers of English
Total Pages: 96
Release: 2012-01
Genre: Critical thinking
ISBN: 9780873536912

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


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
Author: Joanne Elizabeth Lobato
Publisher: National Council of Teachers of English
Total Pages: 0
Release: 2010
Genre: Curriculum planning
ISBN: 9780873536226

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"A series for teaching mathematics."--P. [1] of cover.


Putting the Practices Into Action

Putting the Practices Into Action
Author: Susan O'Connell
Publisher: Heinemann Educational Books
Total Pages: 0
Release: 2013
Genre: Education
ISBN: 9780325046556

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The Standards for Mathematical Practice promise to elevate students' learning of math from knowledge to application and bring rigor to math classrooms. Here, the authors unpack each of the eight Practices and provide a wealth of practical ideas and activities to help teachers quickly integrate them into their existing math program.


Building Proportional Reasoning Across Grades and Math Strands, K-8

Building Proportional Reasoning Across Grades and Math Strands, K-8
Author: Marian Small
Publisher: Teachers College Press
Total Pages: 129
Release: 2015-04-10
Genre: Education
ISBN: 0807756601

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Although proportional reasoning is not formally introduced as a topic in the Common Core and other mathematics curricula until 6th grade, introducing its fundamental ideas in the early grades helps students develop essential skills in ratios, percentages, and other proportional representations when they reach the upper grades. The author takes this complex subject and crafts examples and questions that help teachers see the larger purpose in teaching concepts, such as unitizing, and how that understanding is essential for more complex ideas, such as ratios. Teachers and vertical teams can see how the concepts can build year after year. This new resource by well-known professional developer Marian Small suggests questions that are both interesting for students and useful for providing diagnostic information to teachers. Chapters are organized by grade level (K-8) around the Common Core State Standards for Mathematics to help teachers use the resource more easily.