Developing Thinking In Geometry

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Developing Thinking In Geometry
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Author : Sue Johnston-Wilder
language : en
Publisher: SAGE
Release Date : 2005-09-14
Developing Thinking In Geometry written by Sue Johnston-Wilder and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-14 with Education categories.
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.
Developing Thinking In Geometry
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Author : Sue Johnston-Wilder
language : en
Publisher: SAGE
Release Date : 2005-08-18
Developing Thinking In Geometry written by Sue Johnston-Wilder and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-18 with Education categories.
'Geometry is often given less time in the teaching timetable than other aspects of mathematics. This book encourages practitioners to think about and raise its profile, indeed achieving what its title suggest' - Primary Practice `This creative, innovative and fascinating book/CD package is one you "MUST BUY". All prospective, new and experienced teachers of mathematics can use it to transform their teaching. All readers can use it to reignite their fascination with mathematics' - Professor Sylvia Johnson, Sheffield Hallam University 'This book exudes activity and interactivity. Moreover, it provides challenge in the context of a significant pedagogy, one that is not just present but actually made explicit. It is undoubtedly a book to learn geometry with, but also one to learn to think more deeply about geometry, about its nature and essence, and also about its teaching and learning' - David Pimm Developing Thinking in Geometry enables teachers and their support staff to experience and teach geometric thinking. As well as discussing key teaching principles, the book and accompanying interactive CD include many activities that encourage readers to extend their own learning, and consequently their teaching practices. The book is constructed around the following key themes: - invariance; - language and points of view; - reasoning using invariance; - visualising and representing. These themes draw 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 geometry. This is a 'must have' text for all primary mathematics specialists, secondary and Further Education mathematics teachers and their support staff. Anyone who wishes to create an understanding and enthusiasm for geometry based upon firm research and effective practice, will enjoy this book. This is the course reader for the Open University Course ME627 Developing Geometric Thinking
Developing Thinking In Algebra
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Author : John Mason
language : en
Publisher: SAGE
Release Date : 2005-04-23
Developing Thinking In Algebra written by John Mason and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-23 with Mathematics categories.
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.
Special Issues In Early Childhood Mathematics Education Research
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Author :
language : en
Publisher: BRILL
Release Date : 2022-02-14
Special Issues In Early Childhood Mathematics Education Research written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-14 with Education categories.
In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood. The chapters cover all mathematics curriculum-related issues in early childhood (number, geometry, patterns and structures and mathematics in daily life). Special attention is given to teachers knowledge and innovative research issues such as quantifiers among young children. Contributors are: Abraham Arcavi, Ruthi Barkai, Douglas H. Clements, Bat-Sheva Eylon, Dina Hassidov, Rina Hershkowitz, Leah Ilani, Bat-Sheva Ilany, Candace Joswick, Esther Levenson, Zvia Markovits, Zemira Mevarech, Joanne Mulligan, Sherman Rosenfeld, Flavia Santamaria, Julie Sarama, Juhaina Awawdeh Shahbari, Amal Sharif-Rasslan, Tal Sharir, Nora Scheuer, Pessia Tsamir, Dina Tirosh and Ana Clara Ventura.
Fostering Geometric Thinking
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Author : Mark Driscoll
language : en
Publisher: Heinemann Educational Books
Release Date : 2017-05-12
Fostering Geometric Thinking written by Mark Driscoll and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-12 with Education categories.
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.
Teaching Mathematics In The Secondary School
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Author : Paul Chambers
language : en
Publisher: SAGE
Release Date : 2019-02-25
Teaching Mathematics In The Secondary School written by Paul Chambers and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-25 with Education categories.
"This is a comprehensive guide covering everything about learning to teach maths. Suitable for anyone considering teaching as a profession, those already in training and new teachers, it provides excellent coverage of the theoretical and practical aspects of teaching maths in an accessible style." - Emma McCrea, ITE Lecturer and author of Making Every Maths Lesson Count
Developing Thinking In Statistics
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Author : Alan Graham
language : en
Publisher: SAGE
Release Date : 2006-02-08
Developing Thinking In Statistics written by Alan Graham and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-08 with Education categories.
'This book should prove to be an important addition to the relatively few publications that exist on statistical thinking. It very nicely encourages the reader to take an active learning approach through simultaneously promoting pedagogy with knowledge and skills enhancement in statistics. Understanding what the subject is for and what it can do are crucial in statistical education - by getting the reader to think statistically Mr Graham has provided us with a very readable book that helps to dispel the poor reputation that statistics has acquired over many years' - Professor Neville Davies, Director, Royal Statistical Society Centre for Statistical Education, Nottingham Trent University Statistics is a key area of the school mathematics curriculum where maths and the real world meet. Although potentially a subject where teaching can be motivating and relevant to everyday concerns, it is often seen as boring and involving largely mechanical calculations. This book will enable teachers and others interested in statistical thinking to become excited and inspired by the big ideas of statistics and, in turn, teach them enthusiastically learners. Designed to heighten awareness of statistical ideas, the book explores key themes within statistics using ideas developed by the influential team at The Open University's Centre for Mathematics Education. Themes include: · Measurement · Variation · Randomness · Uncertainty Arranged in an accessible task-based format, this is an essential text for all secondary maths teachers and students of maths education. It is a comprehensive book that will illuminate and inspire interest in the subject, based on innovative use of ICT, engaging narrative, firm research and good practice. Developing Thinking in Statistics is a set book on the Open University Course ME626 Developing Statistical Thinking, part of the Graduate Diploma in Mathematics Education.
Designing Learning Environments For Developing Understanding Of Geometry And Space
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Author : Richard Lehrer
language : en
Publisher: Routledge
Release Date : 2012-11-12
Designing Learning Environments For Developing Understanding Of Geometry And Space written by Richard Lehrer and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Education categories.
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.
The Multifaceted Nature Of Creativity In The Teaching Of Geometry
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Author : Dorit Patkin
language : en
Publisher: World Scientific
Release Date : 2020-09-24
The Multifaceted Nature Of Creativity In The Teaching Of Geometry written by Dorit Patkin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-24 with Mathematics categories.
Geometry is one of the most ancient branches of mathematics. In order to 'understand geometry', learners should be able to infer in a deductive way as well as be endowed with enhanced visual competences. These prerequisites render plane geometry and solid geometry challenging for both teaching and learning. Hence, it is essential to consider creative ways for teaching the various branches of geometry in order to respond to the varied difficulties, while fostering deductive thinking and visual competences.This book aims to provide readers with a broad knowledge of the various aspects of creativity and its assessment and to expose them to creative methods and approaches to the teaching of geometry. The content of the book is grounded in the research literature that engages in creativity in general and in creativity in teaching in particular.The chapters collected in the book present the multifaceted nature of geometry teaching in a creative-integrated way while exposing the readers to the beauty of geometry.
Mathematics For Primary And Early Years
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Author : Heather Cooke
language : en
Publisher: SAGE
Release Date : 2007-06-28
Mathematics For Primary And Early Years written by Heather Cooke and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-28 with Education categories.
From a review of the first edition: This book is suitable for those who lack confidence ... It is particularly useful as a revision guide... Tasks and practical exercises are included throughout the book. Worth buying a copy' - Primary Mathematics This task-driven text emphasizes strategies and processes and is very different from the usual style of mathematics textbooks. For example, algebra is treated as a way of thinking mathematically, rather than merely manipulating symbols. Each of the sections is designed to stand alone so that they can be studied in any order or dipped into as needed. The Second Edition has been updated to meet the needs of anyone wanting to refresh their knowledge and understanding of mathematics to GCSE level. There is an emphasis on learning and doing mathematics, with an expanded section on measures and proportion, and statistics. Trainees and students have reported that the book has not only helped them to raise their knowledge and understanding to the required standard but also greatly improved their mathematical confidence. This is a set book for the Open University Course, 'Ways of Knowing: language, mathematics and science in the early years'.