Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Prekindergarten-grade 2

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Author :
Publisher : National
ISBN 13 : 9780873536653
Total Pages : 90 pages
Book Rating : 4.5/5 (366 download)

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Book Synopsis Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Prekindergarten-grade 2 by : Ernest Paul Goldenberg

Download or read book Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Prekindergarten-grade 2 written by Ernest Paul Goldenberg and published by National. This book was released on 2014-01-01 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can you build on young children’s interactions with the world to develop their geometric thinking? What can you say to a student who claims that a diamond isn’t a square because it “stands on a point”? How can knowing what does not change when shapes are transformed help you extend your students’ thinking about the area of geometric figures? 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 this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry and measurement. It is organized around four 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 mathematical 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. About the Series: Focus on the ideas that you need to understand thoroughly to teach confidently. Move beyond the mathematics you expect your students to learn. Students who fail to get a solid grounding in pivotal concepts struggle in subsequent work in mathematics and related disciplines. By bringing a deeper understanding to your teaching, you can help students who don’t get it the first time by presenting the mathematics in multiple ways. The Essential Understanding Series addresses topics in school mathematics that are critical to the mathematical development of students but are often difficult to teach. Each book in the series gives an overview of the topic, highlights the differences between what teachers and students need to know, examines the big ideas and related essential understandings, reconsiders the ideas presented in light of connections with other mathematical ideas, and includes questions for readers’ reflection.

Putting Essential Understanding of Geometry and Measurement Into Practice, in Prekindergarten-Grade 2

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Author :
Publisher : National Council of Teachers of English
ISBN 13 : 9780873537315
Total Pages : 182 pages
Book Rating : 4.5/5 (373 download)

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Book Synopsis Putting Essential Understanding of Geometry and Measurement Into Practice, in Prekindergarten-Grade 2 by : Juanita V. Copley

Download or read book Putting Essential Understanding of Geometry and Measurement Into Practice, in Prekindergarten-Grade 2 written by Juanita V. Copley and published by National Council of Teachers of English. This book was released on 2016-11 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do your students recognize a square if the base is oriented horizontally but call it a "diamond" if it is turned 45 degrees? Do they claim that a shape is a triangle because it "looks like" one? Do they say that one object is "bigger" than another without attending more precisely to the attribute they are comparing? What tasks can you offer--what questions can you ask--to determine what they know or don't know--and move them forward in their thinking? This book focuses on the specialized pedagogical content knowledge that you need to teach geometry and measurement effectively in prekindergarten to grade 2. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with these concepts--not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning. You have essential understanding. It's time to put it into practice in your teaching. The Putting Essential Understanding into Practice Series moves NCTM's Essential Understanding Series into the classroom. The new series details and explores best practices for teaching the essential ideas that students must grasp about fundamental topics in mathematics--topics that are challenging to learn and teach but are critical to the development of mathematical understanding. Classroom vignettes and samples of student work bring each topic to life, and questions for reader reflection open it up for hands-on exploration. Each volume underscores connections with the Common Core State Standards for Mathematics while highlighting the knowledge of learners, curriculum, instructional strategies, and assessment that pedagogical content knowledge entails. Resources and tasks are available at More4U. Maximize the potential of student-centered learning and teaching by putting essential understanding into practice.

Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Prekindergarten-grade 2

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Publisher : National Council of Teachers of English
ISBN 13 : 9780873536646
Total Pages : 85 pages
Book Rating : 4.5/5 (366 download)

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Book Synopsis Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Prekindergarten-grade 2 by : Janet H. Caldwell

Download or read book Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Prekindergarten-grade 2 written by Janet H. Caldwell and published by National Council of Teachers of English. This book was released on 2011 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the relationship between addition and subtraction? How do you know whether an algorithm will always work? Can you explain why order matters in subraction but not in addition or why it is false to assert that the sum of any two whole numbers is greater than either number? It is organised around two big ideas and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining an understanding about addition and subtraction is essential as they are the foundation for students’ later learning of multiplication and division. Essential Understanding Series topics include: Number and Numeration for Grades Pre-K-2 Addition and Subtraction for Grades Pre-K-2 Geometry for Grades Pre-K-2 Reasoning and Proof for Grades Pre-K-8 Multiplication and Division for Grades 3-5 Rational Numbers for Grades 3-5 Algebraic Ideas and Readiness for Grades 3-5 Geometric Shapes and Solids for Grades 3-5 Ratio, Proportion and Proportionality for Grades 6-8 Expressions and Equations for Grades 6-8 Measurement for Grades 6-8 Data Analysis and Statistics for Grades 6-8 Function for Grades 9-12 Geometric Relationships for Grades 9-12 Reasoning and Proof for Grades 9-12 Statistics for Grades 9-12

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

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Publisher :
ISBN 13 : 9780873536691
Total Pages : 91 pages
Book Rating : 4.5/5 (366 download)

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Book Synopsis Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5 by : Richard Lehrer

Download or read book Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5 written by Richard Lehrer and published by . This book was released on 2014-06 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Putting Essential Understanding of Geometry and Measurement Into Practice in Grades 3-5

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Author :
Publisher : National
ISBN 13 : 9780873537339
Total Pages : 0 pages
Book Rating : 4.5/5 (373 download)

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Book Synopsis Putting Essential Understanding of Geometry and Measurement Into Practice in Grades 3-5 by : Kathryn Bouchard Chval

Download or read book Putting Essential Understanding of Geometry and Measurement Into Practice in Grades 3-5 written by Kathryn Bouchard Chval and published by National. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on the specialized pedagogical content knowledge that you need to teach geometry and measurement effectively in grades 3-5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with geometry and measurement.

Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten-grade 8

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Publisher : National Council of Teachers of English
ISBN 13 : 9780873536660
Total Pages : 95 pages
Book Rating : 4.5/5 (366 download)

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Book Synopsis Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten-grade 8 by : John K. Lannin

Download or read book Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten-grade 8 written by John K. Lannin and published by National Council of Teachers of English. This book was released on 2011 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do your students determine whether a mathematical statement is true? Do they rely on a teacher, a textbook or various examples? How can you encourage them to connect examples, extend their ideas to new situations that they have not yet considered and reason more generally? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of mathematical reasoning requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about mathematical reasoning. It is organised around one big idea, supported by multiple smaller, interconnected ideas - essential understandings.Taking you beyond a simple introduction to mathematical reasoning, the book will broaden and deepen your mathematical 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.

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8

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Publisher : National Council of Teachers of English
ISBN 13 : 9780873536912
Total Pages : 96 pages
Book Rating : 4.5/5 (369 download)

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Book Synopsis Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8 by : Nathalie Sinclair

Download or read book Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8 written by Nathalie Sinclair and published by National Council of Teachers of English. This book was released on 2012-01 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical 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.

Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8

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Publisher : National Council of Teachers of English
ISBN 13 : 9780873536226
Total Pages : 0 pages
Book Rating : 4.5/5 (362 download)

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Book Synopsis Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 by : Joanne Elizabeth Lobato

Download or read book Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 written by Joanne Elizabeth Lobato and published by National Council of Teachers of English. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A series for teaching mathematics."--P. [1] of cover.

Exploring Mathematics Through Play in the Early Childhood Classroom

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Publisher : Teachers College Press
ISBN 13 : 0807755893
Total Pages : 161 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Exploring Mathematics Through Play in the Early Childhood Classroom by : Amy Noelle Parks

Download or read book Exploring Mathematics Through Play in the Early Childhood Classroom written by Amy Noelle Parks and published by Teachers College Press. This book was released on 2014-10-15 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed thorughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking, such as perseverence and attention to precision. This book will help put play back into the early childhood classrooms where it belongs. This book: makes explicit connections to play and the Common Core State Standards in Mathematics; offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play; and provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress.

Fun and Fundamental Math for Young Children

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Publisher : Teachers College Press
ISBN 13 : 0807776963
Total Pages : pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Fun and Fundamental Math for Young Children by : Marian Small

Download or read book Fun and Fundamental Math for Young Children written by Marian Small and published by Teachers College Press. This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Educators of young children who don’t yet know the work of Marian Small are in for a gift—a treasure trove to enhance their teaching and thinking about math. This book focuses on the most important concepts and skills needed to provide early learners (preK–2) with a strong foundation in mathematics, in ways that are fun for both children and educators! For each mathematical concept, professional developer Marian Small provides sample activities and lessons, as well as guidance for using children’s books, games, manipulatives, and electronic devices. This resource also demonstrates how to differentiate instruction using tasks and questions designed to include all students. Like other Marian Small bestsellers, the text features her special brand of lucid explanation of difficult concepts, fresh and engaging teaching examples, troubleshooting tips, and formative assessments. Fun and Fundamental Math for Young Children is separated into special grade level sections for pre-K, kindergarten, first grade, and second grade. It can be used with any early childhood curriculum or as a stand-alone program in preschools. Marian Small is available for in-person and online professional development. “Within the first few pages it quickly became apparent that, whether you are a new or veteran teacher, your knowledge and appreciation of and for primary mathematics will grow page by page.” —From the Foreword by Graham Fletcher, math specialist, Atlanta, Georgia “Marian Small describes the development of major aspects of children’s mathematical thinking and connects them to many interesting and useful classroom activities.” —Herbert Ginsburg, professor emeritus, Teachers College, Columbia University “I love this book! The ideas are invaluable and the attention to detail is amazing.” —Nicki Newton, math consultant

Developing Essential Understanding of Number and Numeration for Teaching Mathematics in Prekindergarten--grade 2

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Publisher :
ISBN 13 : 9780873536295
Total Pages : 60 pages
Book Rating : 4.5/5 (362 download)

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Book Synopsis Developing Essential Understanding of Number and Numeration for Teaching Mathematics in Prekindergarten--grade 2 by : Barbara J. Dougherty

Download or read book Developing Essential Understanding of Number and Numeration for Teaching Mathematics in Prekindergarten--grade 2 written by Barbara J. Dougherty and published by . This book was released on 2010 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organised around one big idea and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining this understanding is essential because numbers and numeration are building blocks for other mathematical concepts and for thinking quantitatively about the real-world. Essential Understanding series topics include: Number and Numeration for Grades Pre-K-2 Addition and Subtraction for Grades Pre-K-2 Geometry for Grades Pre-K-2 Reasoning and Proof for Grades Pre-K-8 Multiplication and Division for Grades 3-5 Rational Numbers for Grades 3-5 Algebraic Ideas and Readiness for Grades 3-5 Geometric Shapes and Solids for Grades 3-5 Ratio, Proportion and Proportionality for Grades 6-8 Expressions and Equations for Grades 6-8 Measurement for Grades 6-8 Data Analysis and Statistics for Grades 6-8 Function for Grades 9-12 Geometric Relationships for Grades 9-12 Reasoning and Proof for Grades 9-12 Statistics for Grades 9-12

Mathematical Cognition and Understanding

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Publisher : Springer Nature
ISBN 13 : 3031291956
Total Pages : 285 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Mathematical Cognition and Understanding by : Katherine M. Robinson

Download or read book Mathematical Cognition and Understanding written by Katherine M. Robinson and published by Springer Nature. This book was released on 2023-05-31 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on elementary and middle school children’s understanding of mathematics as well as the cognitive aspects involved in the development of mathematical knowledge, skills, and understanding. Children’s success in and understanding of mathematics stem from factors beyond the mathematics curriculum. Researchers are increasingly becoming aware of the necessity to consider a complex set of variables when accounting for large individual differences in mathematics achievement. These chapters contribute to how both researchers and educators can consider the multidimensionality of skills involved in developing mathematical knowledge in the middle school years as well as to how this knowledge can be used to enhance practices in the mathematics classroom. Topics include the cognitive and spatial skills involved in mathematics knowledge, the role of motivation in mathematics learning, the neurological processes and development of children’s mathematics skills, the development of understanding of arithmetic and fraction concepts, the factors relating to children’s word problem success, and techniques to promote mathematics understanding. This book and its companion, Mathematical Teaching and Learning, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers.

Developing Mathematical Proficiency for Elementary Instruction

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Publisher : Springer Nature
ISBN 13 : 3030689565
Total Pages : 305 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Developing Mathematical Proficiency for Elementary Instruction by : Yeping Li

Download or read book Developing Mathematical Proficiency for Elementary Instruction written by Yeping Li and published by Springer Nature. This book was released on 2021-04-23 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to improve the mathematical proficiency of elementary teachers is well recognized, and it has long been of interest to educators and researchers in the U.S. and many other countries. But the specific proficiencies that elementary teachers need and the process of developing and improving them remain only partially conceptualized and not well validated empirically. To improve this situation, national workshops were organized at Texas A&M University to generate focused discussions about this important topic, with participation of mathematicians, mathematics educators and teachers. Developing Mathematical Proficiency for Elementary Instruction is a collection of articles that grew out of those exciting cross-disciplinary exchanges. Developing Mathematical Proficiency for Elementary Instruction is organized to probe the specifics of mathematical proficiency that are important to elementary teachers during two separate but inter-connected professional stages: as pre-service teachers in a preparation program, and as in-service teachers teaching mathematics in elementary classrooms. From this rich and inspiring collection, readers may better understand, and possibly rethink, their own practices and research in empowering elementary teachers mathematically and pedagogically, as educators or researchers.

Forging Connections in Early Mathematics Teaching and Learning

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Publisher : Springer
ISBN 13 : 9811071535
Total Pages : 290 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Forging Connections in Early Mathematics Teaching and Learning by : Virginia Kinnear

Download or read book Forging Connections in Early Mathematics Teaching and Learning written by Virginia Kinnear and published by Springer. This book was released on 2017-12-12 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book promotes thinking, dialogue, research and theorisation on multiple ways of making connections in mathematics teaching and learning in early childhood education. The book addresses some key challenges in research, policy and practice in early childhood mathematics education. It examines diverse ways for learning experiences to connect young children to mathematics, and the importance of forging connections between mathematics and young children’s lives as key elements in their engagement with mathematics. Each chapter provides research or theoretical provocations and pedagogical implications for connecting children’s lived experiences and ways of learning in mathematics teaching. The chapters are drawn from a range of international authors who raise important ideas within the overall context of current research and consider the theoretical and practical implications of their research. As such, the book advances current thinking on mathematics teaching and learning for children in the early years from birth to eight years with an emphasis on children aged birth to 5 years. It considers the purpose and value in connecting mathematics teaching and learning to children’s lives, and provides provocations for both educators and researchers on the many under-researched and under-represented aspects of early years mathematics teaching and learning.

Developing Math Concepts in Pre-kindergarten

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Publisher :
ISBN 13 : 9780972423892
Total Pages : 231 pages
Book Rating : 4.4/5 (238 download)

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Book Synopsis Developing Math Concepts in Pre-kindergarten by : Kathy Richardson

Download or read book Developing Math Concepts in Pre-kindergarten written by Kathy Richardson and published by . This book was released on 2008 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Knowing from the Inside

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Publisher : Bloomsbury Publishing
ISBN 13 : 1350217158
Total Pages : 283 pages
Book Rating : 4.3/5 (52 download)

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Book Synopsis Knowing from the Inside by : Tim Ingold

Download or read book Knowing from the Inside written by Tim Ingold and published by Bloomsbury Publishing. This book was released on 2022-02-24 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge comes from thinking with, from and through things, not just about them. We get to know the world around us from the inside of our being in it. Drawing on the fields of anthropology, art, architecture and education, this book addresses what knowing from the inside means for practices of teaching and learning. If knowledge is not transmitted ready-made, independently of its application in the world, but grows from the crucible of our engagements with people, places and materials, then how can there be such a thing as a curriculum? What forms could it take? And what could it mean to place such disciplines as anthropology, art and architecture at the heart of the curriculum rather than – as at present – on the margins? In addressing these questions, the fifteen distinguished contributors to this volume challenge mainstream thinking about education and the curriculum, and suggest experimental ways to overcome the stultifying effects of current pedagogic practice.

Navigating Through Number and Operations in Prekindergarten-grade 2

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Author :
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Navigating Through Number and Operations in Prekindergarten-grade 2 by : Carole E. Greenes

Download or read book Navigating Through Number and Operations in Prekindergarten-grade 2 written by Carole E. Greenes and published by . This book was released on 2004 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Children in prekindergarten focus on counting and gradually master the essential one-to-one matching of an object to a number. By the end of second grade, they can represent one, two and three digit numbers, understand simple fractions and apply a variety of facts and strategies to add and subtract skilfully. This book supports this progression by inviting students to count and order ducklings in a line, compute the total cost of several items on a menu and play a variety of games that reinforce their understanding of number, addition and subtraction.