Fostering Geometric Thinking

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Fostering Geometric Thinking

Author : Mark Driscoll
Publisher : Heinemann Educational Books
ISBN 13 : 9780325093130
Total Pages : 144 pages
Book Rating : 4.0/5 (931 download)

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Book Synopsis Fostering Geometric Thinking by : Mark Driscoll

Download or read book Fostering Geometric Thinking written by Mark Driscoll and published by Heinemann Educational Books. This book was released on 2017-05-12 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fostering Geometric Thinking Toolkit

Author : Mark J. Driscoll
Publisher : Heinemann Educational Books
ISBN 13 : 9780325011479
Total Pages : 0 pages
Book Rating : 4.0/5 (114 download)

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Book Synopsis The Fostering Geometric Thinking Toolkit by : Mark J. Driscoll

Download or read book The Fostering Geometric Thinking Toolkit written by Mark J. Driscoll and published by Heinemann Educational Books. This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Developing Thinking in Geometry

Author : Sue Johnston-Wilder
Publisher : Paul Chapman Educational Publishing
ISBN 13 : 9781412911696
Total Pages : 300 pages
Book Rating : 4.9/5 (116 download)

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Book Synopsis Developing Thinking in Geometry by : Sue Johnston-Wilder

Download or read book Developing Thinking in Geometry written by Sue Johnston-Wilder and published by Paul Chapman Educational Publishing. This book was released on 2005-09-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

Fostering Algebraic Thinking

Author : Mark J. Driscoll
Publisher : Heinemann Educational Books
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Fostering Algebraic Thinking by : Mark J. Driscoll

Download or read book Fostering Algebraic Thinking written by Mark J. Driscoll and published by Heinemann Educational Books. This book was released on 1999 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fostering Algebraic Thinking is a timely and welcome resource for middle and high school teachers hoping to ease their students' transition to algebra.

The Fostering Algebraic Thinking Toolkit: Introduction and analyzing written student work

Author : Mark J. Driscoll
Publisher : Heinemann Educational Books
ISBN 13 : 9780325004198
Total Pages : 284 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis The Fostering Algebraic Thinking Toolkit: Introduction and analyzing written student work by : Mark J. Driscoll

Download or read book The Fostering Algebraic Thinking Toolkit: Introduction and analyzing written student work written by Mark J. Driscoll and published by Heinemann Educational Books. This book was released on 2001 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the Fostering Algebraic Thinking series, this module gives participants an opportunity to analyze students' written work for evidence of algebraic thinking.

Fostering Geometric Thinking

Author : Mark J. Driscoll
Publisher : Heinemann Educational Books
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Fostering Geometric Thinking by : Mark J. Driscoll

Download or read book Fostering Geometric Thinking written by Mark J. Driscoll and published by Heinemann Educational Books. This book was released on 2007 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers ideas intended to help students develop "geometric habits of mind," focusing on problem-based teaching that encourages students to deepen their thinking in geometric properties, geometric transformations, and measurement of geometric objects. A DVD is included featuring in-the-field footage of students working through open-ended problems from the book. Grades 5-10.

Routines for Reasoning

Author : Grace Kelemanik
Publisher : Heinemann Educational Books
ISBN 13 : 9780325078151
Total Pages : 0 pages
Book Rating : 4.0/5 (781 download)

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Book Synopsis Routines for Reasoning by : Grace Kelemanik

Download or read book Routines for Reasoning written by Grace Kelemanik and published by Heinemann Educational Books. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Grace Kelemanik
Publisher :
ISBN 13 : 9780325120072
Total Pages : 184 pages
Book Rating : 4.1/5 (2 download)

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Book Synopsis Teaching for Thinking by : Grace Kelemanik

Download or read book Teaching for Thinking written by Grace Kelemanik and published by . This book was released on 2022-01-24 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Thinking and Communication

Author : Mark Driscoll
Publisher : Heinemann Educational Books
ISBN 13 : 9780325074771
Total Pages : 0 pages
Book Rating : 4.0/5 (747 download)

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Book Synopsis Mathematical Thinking and Communication by : Mark Driscoll

Download or read book Mathematical Thinking and Communication written by Mark Driscoll and published by Heinemann Educational Books. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fostering Algebraic Thinking Toolkit: Asking questions of students

Author : Judith Zawojewski
Publisher : Heinemann Educational Books
ISBN 13 : 9780325004228
Total Pages : 158 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis The Fostering Algebraic Thinking Toolkit: Asking questions of students by : Judith Zawojewski

Download or read book The Fostering Algebraic Thinking Toolkit: Asking questions of students written by Judith Zawojewski and published by Heinemann Educational Books. This book was released on 2001 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with the accompanying video, this module offers a change both in the type of student data considered--from written to real time--and in the emphasis of the module--from understanding to fostering student thinking.

Learning to Think Spatially

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309092086
Total Pages : 333 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Learning to Think Spatially by : National Research Council

Download or read book Learning to Think Spatially written by National Research Council and published by National Academies Press. This book was released on 2005-02-03 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning to Think Spatially examines how spatial thinking might be incorporated into existing standards-based instruction across the school curriculum. Spatial thinking must be recognized as a fundamental part of Kâ€"12 education and as an integrator and a facilitator for problem solving across the curriculum. With advances in computing technologies and the increasing availability of geospatial data, spatial thinking will play a significant role in the information-based economy of the twenty-first century. Using appropriately designed support systems tailored to the Kâ€"12 context, spatial thinking can be taught formally to all students. A geographic information system (GIS) offers one example of a high-technology support system that can enable students and teachers to practice and apply spatial thinking in many areas of the curriculum.

Special Issues in Early Childhood Mathematics Education Research

Author :
Publisher : BRILL
ISBN 13 : 9004510680
Total Pages : 323 pages
Book Rating : 4.0/5 (45 download)

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Book Synopsis Special Issues in Early Childhood Mathematics Education Research by :

Download or read book Special Issues in Early Childhood Mathematics Education Research written by and published by BRILL. This book was released on 2022-02-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.

Knowledge under Construction

Author : Daniel Ness
Publisher : Rowman & Littlefield Publishers
ISBN 13 : 1461638534
Total Pages : 286 pages
Book Rating : 4.4/5 (616 download)

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Book Synopsis Knowledge under Construction by : Daniel Ness

Download or read book Knowledge under Construction written by Daniel Ness and published by Rowman & Littlefield Publishers. This book was released on 2007-03-26 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge under Construction investigates how young children develop spatial, geometric, and scientific thinking skills-particularly those associated with architecture. Based on original research and analysis of videotapes of children's play with blocks, the authors' findings suggest that such play is anything but pointless. Their conclusions fill in gaps in our current understanding of how children learn to think spatially and scientifically even while challenging portions of that understanding, including some of Piaget's thesis about the primacy of topological space in children's learning. A system of measurement developed to identify and categorize children's spontaneous behavior at play allows adults to observe patterns of behavior as children play and record the development of process skills and cognitive abilities, enhancing our understanding of how children begin to learn about space and architectural relationships. The book also examines the educational implications of our enhanced understanding. One possible development is a new, alternative way to measure cognitive abilities and development in children based on their work with blocks.

The Fostering Algebraic Thinking Toolkit: Documenting patterns of student thinking

Author : Mark J. Driscoll
Publisher : Heinemann Educational Books
ISBN 13 : 9780325004211
Total Pages : 144 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis The Fostering Algebraic Thinking Toolkit: Documenting patterns of student thinking by : Mark J. Driscoll

Download or read book The Fostering Algebraic Thinking Toolkit: Documenting patterns of student thinking written by Mark J. Driscoll and published by Heinemann Educational Books. This book was released on 2001 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Participants will find in this module more written student work to analyze, but the focus, instead, is on patterns of thinking across a class of students.

Who Decides Who Becomes a Teacher?

Author : Julie Gorlewski
Publisher : Routledge
ISBN 13 : 1351979442
Total Pages : 214 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Who Decides Who Becomes a Teacher? by : Julie Gorlewski

Download or read book Who Decides Who Becomes a Teacher? written by Julie Gorlewski and published by Routledge. This book was released on 2018-11-09 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who Decides Who Becomes a Teacher? extends the discussions and critiques of neoliberalism in education by examining the potential for Schools of Teacher Education to contest policies that are typical in K-12 schooling. Drawing on a case study of faculty collaboration, this edited volume reimagines teacher preparation programs as crucial sites of resistance to, and refusal of, unsound education practices and legislation. This volume also reveals by example how education faculty can engage in collaborative scholarly work to investigate the anticipated and unanticipated effects of policy initiatives on teaching and learning.

Engaging Young Children in Mathematics

Author : Douglas H. Clements
Publisher : Routledge
ISBN 13 : 0805842101
Total Pages : 474 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Engaging Young Children in Mathematics by : Douglas H. Clements

Download or read book Engaging Young Children in Mathematics written by Douglas H. Clements and published by Routledge. This book was released on 2004 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten - grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: * presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; * takes the recent reports and recommendations for early childhood mathematics education to the next level; * integrates practical details and research throughout; and * provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.

Strengths-Based Teaching and Learning in Mathematics

Author : Beth McCord Kobett
Publisher : Corwin
ISBN 13 : 1544374909
Total Pages : 273 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Strengths-Based Teaching and Learning in Mathematics by : Beth McCord Kobett

Download or read book Strengths-Based Teaching and Learning in Mathematics written by Beth McCord Kobett and published by Corwin. This book was released on 2020-02-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.