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

Nathalie Sinclair, David Pimm, Melanie Skelin

ISBN 10: 0873536924 / ISBN 13: 9780873536929

Verlag: National Council of Teachers of Mathematics,U.S., US, 2012

Beschreibung

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.

Bestandsnummer des Verkäufers LU-9780873536929

Bibliografische Details

• Titel: Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12
• Verlag: National Council of Teachers of Mathematics,U.S., US
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 0873536924
• ISBN-13: 9780873536929
• Einband: Paperback
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.