Fostering Geometric Thinking
Fostering Geometric Thinking

Author: Mark Driscoll

Publisher: Heinemann Educational Books

Published: 2017-05-12

Total Pages: 144

ISBN-13: 9780325093130

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The Trends in International Mathematics and Science Study has shown that American schools have consistently helped students understand algebraic and statistical concepts, leading to high achievement internationally. Now it's time to do the same for geometry. Mark Driscoll, author of the powerful and popular Fostering Algebraic Thinking, takes up the challenge and leads you to new, research-based ways to improve how your students conceptualize and apply geometric ideas. With Fostering Geometric Thinking any math teacher can discover essential, practical ideas for helping students cultivate geometric habits of mind that lead to success in this crucial mathematical subject. The book focuses on rigorous, problem-based teaching that encourages students to deepen their thinking in three key geometric strands: geometric properties geometric transformations measurement of geometric objects. Fostering Geometric Thinking shows you how the interplay of these strands helps students devise multiple solutions and develop a broader sense of geometric principles. It's loaded with helpful resources, including: engaging problems to use in your classroom examples of student solutions to these problems transcripts of classroom interactions online resources featuring in-the-field footage of students working through open-ended problems highlighted in the book. Geometry is a vital component of mathematical understanding, and it's time that it received the same attention that algebra and statistics do. With engaging problems and straightforward suggestions that can help students deepen, recognize, and describe their thinking, Fostering Geometric Thinking is the resource you need to ensure that when it comes to geometry, your students know all the angles.

Developing Thinking in Geometry
Developing Thinking in Geometry

Author: Sue Johnston-Wilder

Publisher: Paul Chapman Educational Publishing

Published: 2005-09-14

Total Pages: 300

ISBN-13: 9781412911696

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"All readers can use this book to reignite their fascination with mathematics. Fosters not only a curiosity about geometry itself but crucially focuses on how learners can actively engage in thinking about geometry and its central key ideas."-Sylvia Johnson, Professor, Sheffield Hallam University"Exudes activity and interactivity. A book for learning geometry, learning to think more deeply about geometry, and also about its teaching and learning."-David Pimm, Professor, University of AlbertaDeveloping Thinking in Geometry enables teachers and their support staff to experience and teach geometric thinking. Discussing key teaching principles, the book and its accompanying interactive CD-ROM include many activities encouraging readers to extend their own learning, and teaching practices.Drawing on innovative approaches for teaching and learning geometry developed by the Open University's Centre for Mathematics Education, this resource is constructed around the following key themes:InvarianceLanguage and points of viewReasoning using invarianceVisualizing and representing

The Fostering Geometric Thinking Toolkit
The Fostering Geometric Thinking Toolkit

Author: Mark J. Driscoll

Publisher: Heinemann Educational Books

Published: 2008

Total Pages: 0

ISBN-13: 9780325011479

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"Based on the popular Fostering Geometric Thinking, the Toolkit's 20 two-hour sessions provide a year's worth of math PD for middle and secondary teachers. Its facilitator and particpant-friendly sessions cover the key topics of Fostering Geometric Thinking: geometric properties, transformations and measurement. With the Fostering Geometric Thinking Toolkit, you'll lead teachers through hands-on opportunites to: develop new understandings of middle and secondary students' geometric thinking through a field-tested geometric habits-of-mind framework. Broaden and express their own geometric thinking by solving rich problems. Observe students' thinking and problem solving through in-the-classrom footage. Practice analyzing student work. Apply all they've learned in the sessions to engage students' thinking more effectively."--PUBLISHER'S WEBSITE.

Fostering Geometric Thinking
Fostering Geometric Thinking

Author: Mark J. Driscoll

Publisher: Heinemann Educational Books

Published: 2007

Total Pages: 156

ISBN-13:

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"Fostering Geometric Thinking shows you how the interplay of these strands helps students devise multiple solutions and develop a broader sense of geometric principles. It's loaded with helpful resources, including: engaging problems to use in your classroom; examples of student solutions to these problems; transcripts of classroom interactions; and a DVD featuring in-the-field footage of students working through open-ended problems highlighted in the book." "Geometry is a vital component of mathematical understanding, and it's time that it received the same attention that algebra and statistics do. With engaging problems and straightforward suggestions that can help students deepen, recognize, and describe their thinking, Fostering Geometric Thinking is the resource you need to ensure that when it comes to geometry, your students know all the angles."--BOOK JACKET.

Fostering Algebraic Thinking
Fostering Algebraic Thinking

Author: Mark J. Driscoll

Publisher: Heinemann Educational Books

Published: 1999

Total Pages: 176

ISBN-13:

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Fostering Algebraic Thinking is a timely and welcome resource for middle and high school teachers hoping to ease their students' transition to algebra.

Routines for Reasoning
Routines for Reasoning

Author: Grace Kelemanik

Publisher: Heinemann Educational Books

Published: 2016

Total Pages: 0

ISBN-13: 9780325078151

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Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.

Teaching for Thinking
Teaching for Thinking

Author: Grace Kelemanik

Publisher:

Published: 2022-01-24

Total Pages: 184

ISBN-13: 9780325120072

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Teaching our children to think and reason mathematically is a challenge, not because students can't learn to think mathematically, but because we must change our own often deeply-rooted teaching habits. This is where instructional routines come in. Their predictable design and repeatable nature support both teachers and students to develop new habits. In Teaching for Thinking, Grace Kelemanik and Amy Lucenta pick up where their first book, Routines for Reasoning, left off. They draw on their years of experience in the classroom and as instructional coaches to examine how educators can make use of routines to make three fundamental shifts in teaching practice: Focus on thinking: Shift attention away from students' answers and toward their thinking and reasoning Step out of the middle: Shift the balance from teacher-student interactions toward student-student interactions Support productive struggle: Help students do the hard thinking work that leads to real learning With three complete new routines, support for designing your own routine, and ideas for using routines in your professional learning as well as in your classroom teaching, Teaching for Thinking will help you build new teaching habits that will support all your students to become and see themselves as capable mathematicians.

Developing Thinking in Algebra
Developing Thinking in Algebra

Author: John Mason

Publisher: Paul Chapman Educational Publishing

Published: 2005-04-23

Total Pages: 342

ISBN-13: 9781412911719

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'Mason, Graham, and Johnston-Wilder have admirably succeeded in casting most of school algebra in terms of generalisation activity? not just the typical numerical and geometric pattern-based work, but also solving quadratics and simultaneous equations, graphing equations, and factoring. The authors raise our awareness of the scope of generalization and of the power of using this as a lens not just for algebra but for all of mathematics!' - Professor Carolyn Kieran, Departement de Mathematiques, Universite du Quebec a Montreal Algebra has always been a watershed for pupils learning mathematics. This book will enable you to think about yourself as a learner of algebra in a new way, and thus to teach algebra more successfully, overcoming difficulties and building upon skills that all learners have. This book is based on teaching principles developed by the team at The Open University's Centre for Mathematics Education which has a 20-year track record of innovative approaches to teaching and learning algebra. Written for teachers working with pupils aged 7-16, it includes numerous tasks ready for adaption for your teaching and discusses principles that teachers have found useful in preparing and conducting lessons. This is a 'must have' resource for all teachers of mathematics, primary or secondary, and their support staff. Anyone who wishes to create an understanding and enthusiasm for algebra, based upon firm research and effective practice, will enjoy this book. This book is the course reader for The Open University Course ME625 Developing Algebraic Thinking

Mathematical Thinking and Communication
Mathematical Thinking and Communication

Author: Mark Driscoll

Publisher: Heinemann Educational Books

Published: 2016

Total Pages: 0

ISBN-13: 9780325074771

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Language is deeply involved in learning mathematics as students both communicate and think about mathematical ideas. Because of this, teachers of English learners have particular challenges to overcome. Mathematical Thinking and Communication addresses perhaps the most significant challenge: providing access to mathematics for these students. For all students-and English learners in particular-access means finding effective, authentic ways to make language clear and thinking visible so they can reason more, speak more, and write more in mathematics. Based on extensive research and collaboration with teachers, coaches, and schools, Mark Driscoll, Johannah Nikula, and Jill Neumayer DePiper outline four principles for designing instruction that creates this kind of access: challenging tasks, multimodal representations, development of mathematical communication, and repeated structured practice. Starting from the perspective that English learners are capable of mathematical thinking (even as they are learning to express their ideas verbally), the authors highlight techniques for using gestures, drawings, models, manipulatives, and technology as tools for reasoning and communication. By embedding these visual representations into instruction-and encouraging their regular use-teachers support engagement in problem solving, facilitate mathematical dialogue, and notice evidence of students' thinking that propels them to create more engaging and equitable instruction. Enhanced by an extensive online collection of companion professional development resources, this book highlights classroom-ready strategies and routines for fostering mathematics success in all students and helping them recognize their potential.