Encouraging Mathematical Thinkers

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Encouraging Mathematical Thinkers

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Author : Ruth E. Parker
language : en
Publisher: Heinemann Educational Books
Release Date : 2006

Encouraging Mathematical Thinkers written by Ruth E. Parker 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 2006 with Education categories.

Parents want to be supportive of math education. But they often feel frustration when they don't recognize the kind of instruction their children are getting and can't help them at home. The best way to guide parents toward an understanding of how their kids are learning is by engaging them in the very same mathematics students are experiencing at school. With the "Supporting School Mathematics" series, you'll find six comprehensive workshop modules for effectively engaging with parents or any stakeholder in mathematics education. "Encouraging Mathematical Thinkers" is designed to engage parents in a rich mathematical investigation involving probability. The importance of communication in mathematics classrooms is highlighted in the session, and parents experience how facility with numbers can be developed within important mathematical contexts. The content of this session is appropriate for teachers and parents of grades 3 - 8, and students of grades 4 - 8. Each of the six sessions of "Supporting School Mathematics" each use explicit, thorough, hands-on examples to illustrate how key aspects of your math curriculum work. Parents will come to understand: what it means to teach for understanding and how meaningful, challenging, and engaging this type of learning is why and how the focus of instruction is different than traditional mathematics teaching how basic facts are both explicitly and implicitly addressed how to extend to home what students learn at school. Each "Supporting School Mathematics" package includes everything you need to conduct a successful parent workshop: a planning handbook that offers general advice on presenting mathematical content and even provides you a Q-and-A section featuring the questions you are most likely to get and good answers to them a module that includes scripts, content-specific talking points, overheads, and handouts that help audience members understand how their children are learning and discover new ways of helping them at home a CD that contains ready-to-print files for the overheads as well as printable versions of the handouts in both English and Spanish. The six workshops in the "Supporting School Mathematics" series help you demonstrate for parents the most important aspects of any mathematics curriculum: "Helping with Math at Home: Ideas for Parents" "Helping with Math at Home: More Ideas for Parents" "Understanding Addition and Subtraction Across the Grades" "Understanding Multiplication Across the Grades" "Understanding Fractions Across the Grades" "Encouraging Mathematical Thinkers: The Basics and More" Gain parents' support by using "Supporting School Mathematics" to introduce them to high-quality, student-centered mathematics instruction. It's an easy, new way to change how they think about their children's math education. System Requirements for CD-ROM Windows/PC Pentium Processor 450Mhz (or higher)> Windows 98 (or higher) 64 MB RAM (more recommended) SVGA Color Display (or better) 8X CD-ROM Drive (or faster) Acrobat Reader Mac PowerPC Processor G3/333Mhz (or higher) System 8.6 (or higher) 64 MB RAM (more recommended) SVGA Color Display (or better) 8X CD-ROM Drive (or faster) Acrobat Reader

Children S Mathematical Thinking In Primary Years

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Author : Julia Anghileri
language : en
Publisher: Bloomsbury Publishing
Release Date : 2005-05-01

Children S Mathematical Thinking In Primary Years written by Julia Anghileri and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-01 with Education categories.

This popular Continuum series, intended chiefly for teachers and trainee teachers, places strong emphasis on practice but at the same time incorporates the latest research in the field. The book demonstrates a strong belief in the ability of children to learn, and in the ability of teachers to increase children's learning potential. The series authors are distinguished practitioners in their fields who write with authority, but without jargon. With the increasingly popular constructivist framework for learning, teachers are coming to recognize the limitations of taught procedures and to find ways to encourage children to generate their own knowledge and understanding in mathematics. The challenge for teachers is to promote an environment that encourages mathematical thinking in which pupils of all abilities are able to achieve their full potential. This text brings together experiences of teachers and researchers who examine the ways children work mathematically, in order to provide an enhanced learning environment within the classroom. It also addresses key issues in current maths teaching.

The Heart Of Mathematics

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Author : Edward B. Burger
language : en
Publisher: Wiley
Release Date : 2009-11-10

The Heart Of Mathematics written by Edward B. Burger and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-10 with Mathematics categories.

Make mathematics fun and satisfying for everyone Math can be a living source of powerful ideas that transcend mathematics; a window into mind-opening philosophical concepts such as infinity, fourth dimensions, chaos, and fractals; and a practical training ground for developing skills in analysis, reasoning, and thought—if you have the right approach and the right guide. The Heart of Mathematics: An Invitation to Effective Thinking­—now in its third edition—transforms mathematics into an engaging, relevant experience even for the most math-phobic student. Infusing this book with humor and enthusiasm, Edward B. Burger and Michael Starbird—both recipients of the Mathematical Association of America’s foremost national teaching award and countless state, regional, and campus-wide teaching honors—introduce students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking. Richer and more rewarding than ever, this new edition features: An emphasis on mathematical methods of investigation Visualization techniques that make key concepts easier to understand Accessible, friendly writing style that encourages critical thinking "Life Lessons"-effective methods of thinking that students will retain and apply beyond the classroom End of section Mindscape activities for the development of application, problem-solving, and argumentation skills

Teaching Numeracy

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Author : Margie Pearse
language : en
Publisher: Corwin Press
Release Date : 2011-03-23

Teaching Numeracy written by Margie Pearse and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-23 with Education categories.

Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.

Developing Mathematical Thinking

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Author : Jonathan D. Katz
language : en
Publisher: Rowman & Littlefield
Release Date : 2014-07-07

Developing Mathematical Thinking written by Jonathan D. Katz and has been published by Rowman & Littlefield this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-07 with Education categories.

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.

Thinking And Learning About Mathematics In The Early Years

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Author : Linda Pound
language : en
Publisher: Routledge
Release Date : 2008-03-20

Thinking And Learning About Mathematics In The Early Years written by Linda Pound and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-20 with Education categories.

How can early years practitioners help young children to become not only numerate but aspiring mathematicians who love numbers, shapes and mathematical comparisons? The introduction of the Foundation Stage has led to practitioners seeking ways to teach maths which are more in line with the creative and playful ways young children learn other subjects. Linda Pound draws on current thinking about children's mathematical development to show how you can encourage and enhance the numeracy skills of any child in the early years by linking maths to every-day life situations and making it a playful and enjoyable cross-curricular activity. This highly practical and engaging text includes chapters on: why maths is often seen as 'hard' and what practitioners can do to help young children be more successful exploring shapes, space, measures and patterns how to make maths more fun and playful, using games, humour, stories and rhymes using music and dance to enhance mathematical understanding encouraging children to see the connection between maths and everyday experiences through, for example sorting, matching and guessing creating an environment for mathematical development, indoors and out Concluding with a chapter on how practitioners and parents can become more confident in their use of maths, this user-friendly text, packed full of ideas, is essential reading for practitioners in any early years setting. Students on Early Education courses will also find much here to inspire them.

Mathematical Thinking And Writing

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Author : Randall Maddox
language : en
Publisher: Academic Press
Release Date : 2002

Mathematical Thinking And Writing written by Randall Maddox and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language of proof construction and critical analysis. Randall Maddox guides the reader with a warm, conversational style, through the task of gaining a thorough understanding of the proof process, and encourages inexperienced mathematicians to step up and learn how to think like a mathematician. A student's skills in critical analysis will develop and become more polished than previously conceived. Most significantly, Dr. Maddox has the unique approach of using analogy within his book to clarify abstract ideas and clearly demonstrate methods of mathematical precision.

Teaching Mathematical Thinking

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Author : Marian Small
language : en
Publisher: Teachers College Press
Release Date : 2017

Teaching Mathematical Thinking written by Marian Small and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Education categories.

This new resource by math education expert Marian Small helps schools and districts to refine their teaching of standards-based mathematical practices. Small devotes a chapter to each of the eight standards of practice and includes a discussion of what each standard looks like in grades K–2, 3–5, and 6–8. Specific attention is given to helping students make sense of problems and persevere in solving them (Standard 1) and to encouraging students to create viable mathematical arguments and to effectively and respectfully critique the reasoning of others (Standard 3). The author also discusses how to formatively assess student performance for each practice standard. To provide additional support to U.S. teachers in their instructional planning, this resource includes attention to the Canadian math processes of visualization and mental math and estimation. “Whether you are a new teacher or a seasoned educator, this book will enrich your abilities to develop your students' mathematical thinking.” —From the Foreword by Linda Dacey, professor emerita, Mathematics, Lesley University “One of the best ways to prepare students for their futures is to teach mathematical thinking. Marian Small shows us the way with powerful tasks, probing questions, and incredible student work samples. This is the book I have been looking for and is definitely a must-have for every teacher.” —Ruth Harbin Miles, Mary Baldwin University

Children S Mathematics

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Author : Elizabeth Carruthers
language : en
Publisher: SAGE
Release Date : 2006-08-07

Children S Mathematics written by Elizabeth Carruthers and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-07 with Education categories.

′In Case Study 5 (a grassroots ′Children′s Mathematics Network group′) the initiative supported the participants in their professional change by giving them a space for the detailed and joint consideration of children′s mathematical thinking. Another significant feature of this initiative is its focus on careful consideration and analysis of children′s mathematics, and the ways in which professionals can support and encourage the children′s mathematical thinking and reasoning... The standard of the mathematical understanding, thinking and reasoning that the displays revealed was far higher than the specified curriculum objectives for children of this age...′ - Researching Effective CPD in Mathematics Education (RECME) project: (NCETM, 2009) ′The review also plays great score by play-based learning of a mathematical nature, and makes specific recommendations regarding early mark-making as a precursor to abstract mathematical symbolism′. Section 115 features children′s mathematical graphics and emphasises: ′The role of mark-making in children′s cognitive development is set out in the taxonomy (Carruthers and Worthington, 2006)′. The report recommends that ′local authorities, leaders, managers and head teachers should provide a culture with a significant focus on mathematical mark-making′ and ′a learning environment that encourages children to choose to use their own mathematical graphics to support their mathematical thinking and processes′ - The Williams Maths Review: (DCSF, 2008) `At the very heart of the success of the book is the authors′ ability to see mathematics through young children′s eyes by listening to and reflecting on the constant efforts made by children to make sense of their world. This is a liberating book which proposes that the teaching of mathematics could and should be a highly creative and enjoyable proceess′ - Branwen Llewelyn Jones, Early Years Consultant at PACE Ltd / TACTYC ′Ground breaking... To single out any one chapter would be unfair because there is something thought-provoking and inspirational throughout. If you want to expand your understanding upwards and outwards then get a copy soon′ - Times Educational Supplement ′I first read Children′s Mathematics, Making Marks, Making Meaning a couple of years ago and it had an immediate impact on my own thinking and teaching, and the work I do with trainee teachers. I′m sure you will find it compelling reading too. I think it has the potential to change, in a fundamental way, how we think about early mathematical development′ - Lynne McClure, Editor, Math Co-ordiator′s File, Mathematics Association ′In their exceptionally readable and informative book, Children′s Mathematics, Making Marks, Making Meaning Carruthers and Worthington (2006) draw attention to one of the main goals of early years teaching, that is, to help children make links between the mathematics they have already encountered (and continue to engage with) at home and the more abstract mathematics of the school. These authors suggest that by encouraging children to represent mathematical ideas in their own ways and, crucially, by talking to the pupils about the marks they have made, we are given a "window" onto their thinking that may otherwise be inaccessible′ - Liz Pumphrey, NRICH This book draws on the authors′ many years of teaching children aged three to eight years and also on their extensive research with children in the home, nursery and school. The authors explain the development and range of young children′s mathematical marks and visual representations, showing how children make mental connections between their own early marks and subsequent abstract mathematical symbolism, and go on to develop their own written methods. Combining theory and practice, this acclaimed book demonstrates how children′s own mathematical graphics are highly creative and show deep levels of thinking. The authors show how this is the key to success in school mathematics and to higher levels of achievement. The authors are winners of TACTYC′s (2003) Jenefer Joseph Award for the Creative Arts (3 - 8) - awarded for their innovative work with children on mathematical graphics.

Ebook Supporting Mathematical Development In The Early Years

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Author : Linda Pound
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2006-05-16

Ebook Supporting Mathematical Development In The Early Years written by Linda Pound and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-16 with Education categories.

Review of the first edition “All the major areas of early childhood maths teaching and learning are covered in this powerful book… The book is also full of delightful stories… [It] would be eminently suitable for beginning and trainee teachers but would also be helpful to all those concerned in early years settings. All the relevant information is here, based on a wealth of knowledge and experience.” TES Supporting Mathematical Development in the Early Years provides practical guidance for parents, teachers and other early years workers who want to give children a good start in mathematical development. Showing how competent children are as mathematicians from an early age, the book offers an overview of young children’s mathematical behaviour at home and in early years settings. The book defines the content and the learning curriculum required to promote mathematical thinking, including an examination of the relationship between mathematics and language learning, and the role of other cross-curricular aspects such as information and communications technology (ICT). It explores the role of staff in observing, planning for and supporting children’s learning by using a variety of strategies, and makes suggestions for promoting effective partnerships between the parents or principal carers and early years staff. The book also considers the importance of play and imagination to the development of abstract thought. The second edition is comprehensively updated throughout and includes new material on Special Educational Needs, the very early years, the role of play, the role of ICT, and examples of outdoor play. It is essential reading for early years teachers and students, as well as parents who want to understand and develop their children’s early mathematical learning.