Improving Instruction in Geometry and Measurement

Improving Instruction in Geometry and Measurement PDF

Author: Margaret Schwan Smith

Publisher: Teachers College Press

Published: 2005-01-01

Total Pages: 166

ISBN-13: 9780807745311

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Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.

Improving Instruction in Algebra

Improving Instruction in Algebra PDF

Author: Margaret Schwan Smith

Publisher:

Published: 2005

Total Pages: 150

ISBN-13: 9780807745304

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Helping students develop an understanding of mathematical ideas is a persistent challenge for teachers. This work focuses on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency.

Young Children Learn Measurement and Geometry

Young Children Learn Measurement and Geometry PDF

Author: Marja van den Heuvel-Panhuizen

Publisher: BRILL

Published: 2008-01-01

Total Pages: 356

ISBN-13: 9087903987

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Improving the quality of education is an important ambition of educational policy. The TAL project aims to contribute to this. It is a project initiated by the Dutch Ministry of Education, Culture and Science, and carried out by the Freudenthal Institute (FI) of Utrecht University and the Dutch National Institute for Curriculum Development (SLO), and partly conducted in cooperation with the Rotterdam Center for Educational Services (CED). The quality of education can be improved in many ways.

Improving Instruction in Rational Numbers and Proportionality

Improving Instruction in Rational Numbers and Proportionality PDF

Author: Margaret Schwan Smith

Publisher: Teachers College Press

Published: 2005-01-01

Total Pages: 168

ISBN-13: 9780807745298

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Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.

Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5

Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5 PDF

Author: Richard Lehrer

Publisher:

Published: 2014-06

Total Pages: 91

ISBN-13: 9780873536691

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How can you introduce terms from geometry and measurement so that your students’ vocabulary will enhance their understanding of concepts and definitions? What can you say to clarify the thinking of a student who claims that perimeter is always an even number? How does knowing what changes or stays the same when shapes are transformed help you support and extend your students’ understanding of shapes and the space that they occupy? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry and measurement requires that you understand fundamental statistical concepts deeply. But what does that mean? This book focuses on essential knowledge for mathematics teachers about geometry and measurement. It is organized around three big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry and measurement, the book will broaden and deepen your understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

ECERS-E with Planning Notes

ECERS-E with Planning Notes PDF

Author: Kathy Sylva

Publisher: Teachers College Press

Published: 2010-11-22

Total Pages: 0

ISBN-13: 9780807751503

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ECERS-E is designed to be used with the Early Childhood Rating Scale-Revised (ECERS-R), an internationally recognized measure of quality in education and care written by Thelma Harms, Richard M. Clifford, and Debby Cryer. It not only complements the ECERS-R but extends the scales to provide additional insights into important aspects of literacy, mathematics, science and environment, as well as practices related to issues of diversity. Given the current focus on emerging literacy and numeracy skills, the ECERS-E provides unique guidance on the kinds of environments that enhance learning in preschool settings. The curriculum domains within the scales bear important relationships to children’s (age 3–5) cognitive and social/behavioral developmental outcomes. Using the ECERS-E alongside the ECERS-R gives users a more complete picture of what a high-quality early childhood education program can look like. It can be used by program directors, teaching staff, agency staff, and in teacher training programs. Convenient organization: Literacy Items: Print in the environment Book and literacy areas Adults reading with children Sounds in words Emergent writing/mark making Talking and listening Mathematics Items: Counting and application of counting Reading and representing simple numbers Activities: Shape Activities: Sorting, matching and comparing Science and Environment Items: Natural materials Areas featuring science/science materials Activities: Non living Activities: Living processes Activities: Food preparation Diversity Items: Planning for individual learning needs Gender equality and awareness Race equality and awareness

Mathematics Learning in Early Childhood

Mathematics Learning in Early Childhood PDF

Author: National Research Council

Publisher: National Academies Press

Published: 2009-11-13

Total Pages: 399

ISBN-13: 0309147433

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Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Implementing Standards-Based Math Instruction

Implementing Standards-Based Math Instruction PDF

Author: Mary Kay Stein

Publisher: Teachers College Press

Published: 2009

Total Pages: 209

ISBN-13: 0807775207

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Teachers and teacher educators interested in synthesizing their current practice with new mathematics standards will welcome this highly useful volume. Author Mary Kay Stein and her colleagues at the QUASAR Project at the University of Pittsburgh present prevalent cases of mathematics instruction drawn from their research of nearly 500 classroom lessons. The Mathematical Tasks Framework, developed by the authors and explained thoroughly in the book, offers teachers and teacher educators the means to evaluate instructional decisions, the choice of materials, and learning outcomes, and the case studies afford readers the opportunity to ground these ideas in actual classroom practice. Readers will gain insight about how to foster a challenging, cognitively rich, and exciting classroom climate that propels students toward a richer understanding of mathematics. “If every teacher and teacher educator took the opportunity to study and discuss these cases, students everywhere would know and value mathematics as the national standards have envisioned.” —Susan Loucks-Horsley, Director of Professional Development for the National Institute for Science Education “The power of case discussions can be fully realized using this book as a tool. Equally important, teachers will be highly motivated because they see their own practice mirrored in the cases.” —Carne Barnett, WestEd, San Francisco, CA

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