David Pimm

Get a deeper understanding of Geometry with our concise and comprehensive Go-To Guide. Based on Developing Essential Understanding of Geometry and Putting Essential Understanding of Geometry into Practice, this summary distills the key concepts and ideas into a quick-reference guide that's perfect for: Supplementing your reading of Developing Essential Understanding of Geometry and Putting Essential Understanding of Geometry into Practice Reviewing the basics before diving deeper into the subject Refreshing your knowledge and filling in gaps in your understanding Identifying areas where you need more information and want to learn more Go-To Guides are designed to provide you with a thorough grasp of the mathematical ideas and principles needed to teach Geometry by focusing on the core concepts and relationships that underlie the subject. This Go-To Guide is perfect for those looking to: Develop a deeper understanding of Geometry Create targeted lessons and activities that meet the needs of students Anticipate common student misconceptions and errors Design effective assessments and evaluations Enhance your own math knowledge and skills Whether you're new to teaching Geometry or an experienced educator, our Go-To Guides will be your trusted resource for teaching with confidence and clarity.

First published in 1987, this book examines mathematics school teaching from the perspective that it is a language — arguing that this can illuminate many events that occur in classes and highlight issues that may not have previously seemed important. The central concern is with the processes of communication as they are shaped by school conventions and the fact that it is mathematics being discussed. Speaking, listening, writing and reading are examined and analysed with the first half focusing on verbal interactions and the second half examining aspects of pupil written mathematics. Also explored is the nature of the mathematical writing system itself and how pupils gain access to it.

First published in 1987, this book examines mathematics school teaching from the perspective that it is a language — arguing that this can illuminate many events that occur in classes and highlight issues that may not have previously seemed important. The central concern is with the processes of communication as they are shaped by school conventions and the fact that it is mathematics being discussed. Speaking, listening, writing and reading are examined and analysed with the first half focusing on verbal interactions and the second half examining aspects of pupil written mathematics. Also explored is the nature of the mathematical writing system itself and how pupils gain access to it.

Symbols and Meanings in School Mathematics explores the various uses and aspects of symbols in school mathematics and also examines the notion of mathematical meaning. It is concerned with the power of language which enables us to do mathematics, giving us the ability to name and rename, to transform names and to use names and descriptions to conjure, communicate and control our images. It is in the interplay between language, image and object that mathematics is created and can be communicated to others. The book also addresses a set of questions of particular relevance to the last decade of the twentieth century, which arise due to the proliferation of machines offering mathematical functioning.

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.

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.

Symbols and Meanings in School Mathematics explores the various uses and aspects of symbols in school mathematics and also examines the notion of mathematical meaning. It is concerned with the power of language which enables us to do mathematics, giving us the ability to name and rename, to transform names and to use names and descriptions to conjure, communicate and control our images. It is in the interplay between language, image and object that mathematics is created and can be communicated to others. The book also addresses a set of questions of particular relevance to the last decade of the twentieth century, which arise due to the proliferation of machines offering mathematical functioning.