Windows On Teaching Math

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Windows on Mathematical Meanings

Author : Richard Noss,Celia Hoyles
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789400916968

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Windows on Mathematical Meanings by Richard Noss,Celia Hoyles Pdf

This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.

Windows on Teaching Math

Author : Katherine Klippert Merseth
Publisher : Teachers College Press
Page : 61 pages
File Size : 53,5 Mb
Release : 2003-01-01
Category : Education
ISBN : 9780807742792

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Windows on Teaching Math by Katherine Klippert Merseth Pdf

Cases, while always interesting to read, are more effective when discussed under the guidance of a skillful leader. Because many educators are new to the case method of instruction, particularly in the subject area of secondary mathematics, this facilitator's guide is an essential companion to Windows on Teaching Math: Cases of Middle and Secondary Classrooms. In this guide, Katherine Merseth provides specific teaching notes that correspond to each case, helping educators to successfully use Windows on Teaching Math in a teacher education course or professional development workshop.

Windows on Teaching Math

Author : Katherine Klippert Merseth
Publisher : Teachers College Press
Page : 113 pages
File Size : 47,7 Mb
Release : 2003-01-01
Category : Education
ISBN : 9780807742785

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Windows on Teaching Math by Katherine Klippert Merseth Pdf

A practical hands-on guide to improving the teaching of mathematics. Provides a collection of cases that blend important mathematics content with the real complexities of school and classroom life.

Exploring Mathematics and Science Teachers' Knowledge

Author : Hamsa Venkat,Marissa Rollnick,John Loughran,Mike Askew
Publisher : Routledge
Page : 236 pages
File Size : 52,8 Mb
Release : 2014-05-09
Category : Education
ISBN : 9781134683642

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Exploring Mathematics and Science Teachers' Knowledge by Hamsa Venkat,Marissa Rollnick,John Loughran,Mike Askew Pdf

Globally, mathematics and science education faces three crucial challenges: an increasing need for mathematics and science graduates; a declining enrolment of school graduates into university studies in these disciplines; and the varying quality of school teaching in these areas. Alongside these challenges, internationally more and more non-specialists are teaching mathematics and science at both primary and secondary levels, and research evidence has revealed how gaps and limitations in teachers’ content understandings can lead to classroom practices that present barriers to students’ learning. This book addresses these issues by investigating how teachers’ content knowledge interacts with their pedagogies across diverse contexts and perspectives. This knowledge-practice nexus is examined across mathematics and science teaching, traversing schooling phases and countries, with an emphasis on contexts of disadvantage. These features push the boundaries of research into teachers’ content knowledge. The book’s combination of mathematics and science enriches each discipline for the reader, and contributes to our understandings of student attainment by examining the nature of specialised content knowledge needed for competent teaching within and across the two domains. Exploring Mathematics and Science Teachers’ Knowledge will be key reading for researchers, doctoral students and postgraduates with a focus on Mathematics, Science and teacher knowledge research.

Mathematical Vistas

Author : Peter Hilton,Derek Holton,Jean Pedersen
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 41,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475736816

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Mathematical Vistas by Peter Hilton,Derek Holton,Jean Pedersen Pdf

This book collects nine related mathematical essays which will intrigue and inform. From the reviews: "The authors put their writing where their talents are, and students get to see just how alive mathematics is...there is much to commend the book. It contains plenty of interesting mathematics, often going in unusual directions. I like the diagrams; the authors have chosen mathematics that involves especially pretty ones." --THE MATHEMATICAL ASSOCIATION OF AMERICA

Teaching Mathematics Vocabulary in Context

Author : Miki Murray
Publisher : Heinemann Educational Books
Page : 214 pages
File Size : 55,5 Mb
Release : 2004
Category : Education
ISBN : UVA:X004768368

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Teaching Mathematics Vocabulary in Context by Miki Murray Pdf

As Miki Murray proves, mathematics vocabulary has the power to enhance the conceptual learning of mathematics for middle school students. It's an essential tool to help them to express their mathematical thinking coherently and clearly to peers and teachers, to share problem-solving techniques, to gain confidence, and to participate in classroom discourse. Murray offers a range of strategies that highlight the important role language plays in the learning of math. Grounded in research and developed from more than 40 years of teaching, reflecting, and learning, Murray's proven strategies are immediately usable or adaptable by teachers.

Strengths-Based Teaching and Learning in Mathematics

Author : Beth McCord Kobett,Karen S. Karp
Publisher : Corwin
Page : 273 pages
File Size : 44,7 Mb
Release : 2020-02-27
Category : Education
ISBN : 9781544374901

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Strengths-Based Teaching and Learning in Mathematics by Beth McCord Kobett,Karen S. Karp Pdf

"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.

Teaching Mathematics in Grades 6 - 12

Author : Randall E. Groth
Publisher : SAGE
Page : 513 pages
File Size : 43,6 Mb
Release : 2012-08-10
Category : Education
ISBN : 9781412995689

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Teaching Mathematics in Grades 6 - 12 by Randall E. Groth Pdf

Teaching Mathematics in grades 6-12 by Randall E. Groth is a core methods text that introduces students to the vibrant and intriguing world of mathematics education. The author shows preservice mathematics teachers the value of being a "researcher"--constantly experimenting with methods for developing students' mathematical thinking--and connecting this research to practices that enhance students' understanding of the types of mathematical knowledge students bring to school and how students' thinking may develop in response to different teaching strategies.

Second Handbook of Research on Mathematics Teaching and Learning

Author : Frank K. Lester
Publisher : IAP
Page : 725 pages
File Size : 45,7 Mb
Release : 2007-02-01
Category : Education
ISBN : 9781607527091

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Second Handbook of Research on Mathematics Teaching and Learning by Frank K. Lester Pdf

The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education

Author : Carmen Batanero,Gail Burrill,Chris Reading
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 40,6 Mb
Release : 2011-07-31
Category : Education
ISBN : 9789400711310

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Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education by Carmen Batanero,Gail Burrill,Chris Reading Pdf

Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education results from the Joint ICMI/IASE Study Teaching Statistics in School Mathematics: Challenges for Teaching and Teacher Education. Oriented to analyse the teaching of statistics in school and to recommend improvements in the training of mathematics teachers to encourage success in preparing statistically literate students, the volume provides a picture of the current situation in both the teaching of school statistics and the pre-service education of mathematics teachers. A primary goal of Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education is to describe the essential elements of statistics, teacher’s professional knowledge and their learning experiences. Moreover, a research agenda that invites new research, while building from current knowledge, is developed. Recommendations about strategies and materials, available to train prospective teachers in university and in-service teachers who have not been adequately prepared, are also accessible to the reader.

The Work of Mathematics Teacher Educators

Author : Kathleen Lynch-Davis,Robin L. Rider
Publisher : IAP
Page : 172 pages
File Size : 43,8 Mb
Release : 2015-10-01
Category : Mathematics
ISBN : 9781623969462

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The Work of Mathematics Teacher Educators by Kathleen Lynch-Davis,Robin L. Rider Pdf

(Orginally published in 2005) A major focus of teacher education is the development of preservice teachers. However, it should not be the only focus of those who work in teacher education. Educating inservice teachers in equally important, and the conversation among those involved in mathematics teacher education needs to include discussion of this group as well. This conversation also highlights a need for professional development for teacher educators and research on the development of teacher educators. This monograph discusses issues in educating all of these groups of individuals in an effort to continue the conversation among those involded in mathematics teacher education.

Cases in Mathematics Teacher Education

Author : Margaret S. Smith,Susan N. Friel
Publisher : IAP
Page : 156 pages
File Size : 43,9 Mb
Release : 2015-10-01
Category : Mathematics
ISBN : 9781623969486

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Cases in Mathematics Teacher Education by Margaret S. Smith,Susan N. Friel Pdf

(Orginally published in 2008) The goal of AMTE Monograph 4, "Cases in Mathematics Teacher Education: Tools for Developing Knowledge Needed for Teaching", is to provide detailed accounts of case use that will inform the mathematics teacher education community on the range of ways in which cases can be used to foster teacher learning and the capacity to reflect on and learn from teaching. The chapters in this monograph describe the use of cases with preservice and practicing teachers at all levels K - 12, in content and methods courses as well as professional development settings, and focus on developing various aspects of teachers' knowledge base (i.e., content, pedagogy, and students as learners). Hence, Monograph 4 should prove to be a superb resource for mathematics teacher educators.

Faster Isn't Smarter

Author : Cathy L. Seeley
Publisher : Math Solutions
Page : 277 pages
File Size : 40,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9781935099031

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Faster Isn't Smarter by Cathy L. Seeley Pdf

Nctm Past President Cathy L. Seeley shares her messages on today's most relevant topics and issues in education. Based on Cathy L. Seeley's award-winning nctm President's Messages, and including dozens of new messages, this must-have k-12 resource offers straight talk and common sense about some of today's most important, thought-provoking issues in education. With topics ranging from the impact of rising expectations and the trap of timed tests to the role of technology and the phenomenon of jumping on bandwagons, this book provides a base for lively discussion among elementary, middle, and high school teachers; leaders; policy makers; and families. This book contains 41 messages included in three sections: (1) School Mathematics for the 21st Century: Elementary and Secondary Mathematics in America; (2) Great Ideas Whose Time Has Come (and Gone?): Mathematics Issues Facing Schools and Districts; and (3) Real Students and Real Teachers: Mathematics in Today's Classroom. This book also contains the following: (1) Foreword by Marilyn Burns; (2) Introduction; (3) How to Use This Book; (4) Afterword: The Sum of the Parts Is Greater than Some of the Parts; (5) Acknowledgments; (6) Readings and References; (7) Index; and (8) About the Author.

Mathematics Content for Elementary Teachers

Author : Douglas K. Brumbaugh
Publisher : Routledge
Page : 314 pages
File Size : 46,6 Mb
Release : 2004-09-22
Category : Education
ISBN : 9781135633806

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Mathematics Content for Elementary Teachers by Douglas K. Brumbaugh Pdf

THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.

Mathematical Challenges For All

Author : Roza Leikin
Publisher : Springer Nature
Page : 580 pages
File Size : 53,8 Mb
Release : 2023-03-17
Category : Education
ISBN : 9783031188688

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Mathematical Challenges For All by Roza Leikin Pdf

This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students’ mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students’ mathematical potential, quality mathematical instruction results from matching the level of mathematical challenge to different students’ potential. Thus, effective integration of mathematical challenge in the instructional process is strongly connected to the equity principle of mathematics education. In the three sections in this volume readers can find diverse views on mathematical challenges in curriculum and instructional design, kinds and variation of mathematically challenging tasks and collections of mathematical problems. Evidence-based analysis is interwoven with theoretical positions expressed by the authors of the chapters. Cognitive, social and affective characteristics of challenging mathematical activities are observed and analyzed. The volume opens new avenues of research in mathematics education, and pose multiple questions about mathematical instruction rich in mathematical challenge for all. The authors invite readers to explore and enjoy mathematical challenges at different levels.