Developing Thinking in Geometry

Developing Thinking in Geometry
Title Developing Thinking in Geometry PDF eBook
Author Sue Johnston-Wilder
Publisher Paul Chapman Educational Publishing
Total Pages 300
Release 2005-09-14
Genre Business & Economics
ISBN 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

Developing Thinking in Algebra

Developing Thinking in Algebra
Title Developing Thinking in Algebra PDF eBook
Author John Mason
Publisher SAGE
Total Pages 340
Release 2005-04-23
Genre Mathematics
ISBN 9781412911719

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By integrating pedagogy and subject knowledge through experiencing a variety of tasks for learners, this book makes it possible for all learners to succeed in thinking algebraically.

Developing Mathematical Thinking

Developing Mathematical Thinking
Title Developing Mathematical Thinking PDF eBook
Author Jonathan D. Katz
Publisher Rowman & Littlefield
Total Pages 145
Release 2014-07-07
Genre Education
ISBN 147581058X

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In this country we have done a poor job of helping students come to see the wonder, beauty and power of mathematics. Standards can be brought into the picture, but unless we think about what it means to truly engage students in mathematics we will continue to be unsuccessful. The goal of this book is to begin to change the way students experience mathematics in the middle and high school classrooms. In this book you will find a theoretical basis for this approach to teaching mathematics, multiple guides and questions for teachers to think about in relation to their everyday teaching, and over 30 examples of problems, lessons, tasks, and projects that been used effectively with urban students.

Developing Thinking in Geometry

Developing Thinking in Geometry
Title Developing Thinking in Geometry PDF eBook
Author Sue Johnston-Wilder
Publisher SAGE
Total Pages 292
Release 2005-09-14
Genre Education
ISBN 9781412911696

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This text and interactive CD-ROM help teachers extend their instructional practices through innovative approaches for teaching geometry as developed by the Open University's Centre for Mathematics Education.

Taking Shape

Taking Shape
Title Taking Shape PDF eBook
Author Joan Moss
Publisher
Total Pages 272
Release 2016-04-29
Genre
ISBN 9780134153490

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Enrich Your Geometry Curriculum and Extend Your Students' Spatial Reasoning Research shows that children with good spatial skills perform better in mathematics overall. This research-based resource is a unique blend of professional learning and classroom activities. It includes: 32 field-tested and research-based activities designed to appeal to young children Guided lesson plans, including 15 videos, that serve as models for best practice in instruction Tips on observing, questioning, and assessing young children's geometric and spatial thinking Free access to website with videos, curriculum correlations, line masters, and observation guides

Fostering Geometric Thinking

Fostering Geometric Thinking
Title Fostering Geometric Thinking PDF eBook
Author Mark Driscoll
Publisher Heinemann Educational Books
Total Pages 144
Release 2017-05-12
Genre Education
ISBN 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.

Designing Learning Environments for Developing Understanding of Geometry and Space

Designing Learning Environments for Developing Understanding of Geometry and Space
Title Designing Learning Environments for Developing Understanding of Geometry and Space PDF eBook
Author Richard Lehrer
Publisher Routledge
Total Pages 520
Release 2012-11-12
Genre Education
ISBN 1136490582

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This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.