Fostering Children S Mathematical Power

Author : Arthur J. Baroody,Ronald T. Coslick
Publisher : Routledge
Page : 1096 pages
File Size : 49,7 Mb
Release : 1998-09-01
Category : Education
ISBN : 9781135674045

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Fostering Children's Mathematical Power by Arthur J. Baroody,Ronald T. Coslick Pdf

Teachers have the responsibility of helping all of their students construct the disposition and knowledge needed to live successfully in a complex and rapidly changing world. To meet the challenges of the 21st century, students will especially need mathematical power: a positive disposition toward mathematics (curiosity and self confidence), facility with the processes of mathematical inquiry (problem solving, reasoning and communicating), and well connected mathematical knowledge (an understanding of mathematical concepts, procedures and formulas). This guide seeks to help teachers achieve the capability to foster children's mathematical power - the ability to excite them about mathematics, help them see that it makes sense, and enable them to harness its might for solving everyday and extraordinary problems. The investigative approach attempts to foster mathematical power by making mathematics instruction process-based, understandable or relevant to the everyday life of students. Past efforts to reform mathematics instruction have focused on only one or two of these aims, whereas the investigative approach accomplishes all three. By teaching content in a purposeful context, an inquiry-based fashion, and a meaningful manner, this approach promotes chilren's mathematical learning in an interesting, thought-provoking and comprehensible way. This teaching guide is designed to help teachers appreciate the need for the investigative approach and to provide practical advice on how to make this approach happen in the classroom. It not only dispenses information, but also serves as a catalyst for exploring, conjecturing about, discussing and contemplating the teaching and learning of mathematics.

Author : Arthur Baroody,Jesse L. M. Wilkins,Jay Wilkins,Ronald T. Coslick
Publisher : Unknown
Page : 512 pages
File Size : 53,9 Mb
Release : 2012-08-15
Category : Education
ISBN : 0415888441

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Fostering Children's Mathematical Power by Arthur Baroody,Jesse L. M. Wilkins,Jay Wilkins,Ronald T. Coslick Pdf

Consistent with NCTM standards, this book employs an investigative approach to elementary mathematics instruction. This philosophy is based on three central tenets: 1) making mathematics relevant to the everyday lives of children 2) making it problem-base or inquiry-based and 3) making it understandable and meaningful. A wealth of probes and investigations in the text and accompanying website provide an understanding of mathematical content, the psychology of mathematical learning, and the latest, research-based teaching methods. In addition to general updating, changes in the new edition include simplifying the format, an increased focus on big (connective) ideas and new material on the design and use of scoring rubrics. New to this edition is an instructor website containing for each chapter: objective questions with answer keys, additional probes and investigations, writing assignments, and video clips illustrating the use of the investigative approach and related probes and investigations.

Author : Arthur J. Baroody,Ronald T. Coslick
Publisher : Routledge
Page : 621 pages
File Size : 50,7 Mb
Release : 1998-09-01
Category : Education
ISBN : 9781135674052

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Fostering Children's Mathematical Power by Arthur J. Baroody,Ronald T. Coslick Pdf

Teachers have the responsibility of helping all of their students construct the disposition and knowledge needed to live successfully in a complex and rapidly changing world. To meet the challenges of the 21st century, students will especially need mathematical power: a positive disposition toward mathematics (curiosity and self confidence), facility with the processes of mathematical inquiry (problem solving, reasoning and communicating), and well connected mathematical knowledge (an understanding of mathematical concepts, procedures and formulas). This guide seeks to help teachers achieve the capability to foster children's mathematical power - the ability to excite them about mathematics, help them see that it makes sense, and enable them to harness its might for solving everyday and extraordinary problems. The investigative approach attempts to foster mathematical power by making mathematics instruction process-based, understandable or relevant to the everyday life of students. Past efforts to reform mathematics instruction have focused on only one or two of these aims, whereas the investigative approach accomplishes all three. By teaching content in a purposeful context, an inquiry-based fashion, and a meaningful manner, this approach promotes chilren's mathematical learning in an interesting, thought-provoking and comprehensible way. This teaching guide is designed to help teachers appreciate the need for the investigative approach and to provide practical advice on how to make this approach happen in the classroom. It not only dispenses information, but also serves as a catalyst for exploring, conjecturing about, discussing and contemplating the teaching and learning of mathematics.

Author : Douglas H. Clements,Julie Sarama,Associate Edito DiBiase,Ann-Marie DiBiase
Publisher : Routledge
Page : 474 pages
File Size : 51,5 Mb
Release : 2003-10-17
Category : Education
ISBN : 9781135635336

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Engaging Young Children in Mathematics by Douglas H. Clements,Julie Sarama,Associate Edito DiBiase,Ann-Marie DiBiase Pdf

This book consists of conclusions drawn from the expertise shared at the Conference on Standards for Prekindergarten and Kindergarten Mathematics Education. It offers substantive detail regarding young students' understandings of mathematical ideas.

Author : Arthur J. Baroody,Ann Dowker
Publisher : Routledge
Page : 516 pages
File Size : 46,8 Mb
Release : 2013-06-17
Category : Education
ISBN : 9781135672225

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The Development of Arithmetic Concepts and Skills by Arthur J. Baroody,Ann Dowker Pdf

This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: What is the nature of arithmetic expertise? How can instruction best promote it? Contributors from a variety of specialities, including cognitive, developmental, educational, and neurological psychology; mathematics education; and special education offer theoretical perspectives and much needed empirical evidence about these issues. As reported in this volume, both theory and research indicate that the nature of arithmetic expertise and how to best promote it are far more complex than conventional wisdom and many scholars, past and present, have suggested. The results of psychological, educational, and clinical studies using a wide range of arithmetic tasks and populations (including "normally" and atypically developing children, non-injured and brain-injured adults, and savants) all point to the same conclusion: The heart of arithmetic fluency, in general, and the flexible and creative use of strategies, in particular, is what is termed "adaptive expertise" (meaningful or conceptually based knowledge). The construction of adaptive expertise in mathematics is, for the first time, examined across various arithmetic topics and age groups. This book will be an invaluable resource for researchers and graduate students interested in mathematical cognition and learning (including mathematics educators, developmental and educational psychologists, and neuropsychologists), educators (including teachers, curriculum supervisors, and school administrators), and others interested in improving arithmetic instruction (including officials in national and local education departments, the media, and parents).

Author : Douglas H. Clements,Julie Sarama
Publisher : Routledge
Page : 188 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Education
ISBN : 9781136506949

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Hypothetical Learning Trajectories by Douglas H. Clements,Julie Sarama Pdf

The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.

Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 41,6 Mb
Release : 2017-08-24
Category : Psychology
ISBN : 9780128134498

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The Development of Early Childhood Mathematics Education by Anonim Pdf

The Development of Early Childhood Mathematics Education, Volume 53 in the Advances in Child Development and Behavior series, includes chapters that highlight some of the most recent research in the field of developmental psychology. Users will find updated chapters on a variety of topics, including sections on The DREME Network: Research and Interventions in Early Childhood Mathematics, The Use of Concrete Experiences in Early Childhood Mathematics Instruction, Interventions in Early Mathematics: Avoiding Pollution and Dilution, Coaching in Early Mathematics, and Designing Studies to Test Causal Questions About Early Math: The Development of Making Pre-K Count. Each chapter provides in-depth discussions, with this volume serving as an invaluable resource for developmental or educational psychology researchers, scholars and students. Contains chapters that highlight some of the most recent research in the area of child development and behavior Presents a wide array of topics that are discussed in detail

Author : Christopher P. Brown,Mary Benson McMullen,Nancy File
Publisher : John Wiley & Sons
Page : 760 pages
File Size : 53,5 Mb
Release : 2019-01-22
Category : Education
ISBN : 9781119148074

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The Wiley Handbook of Early Childhood Care and Education by Christopher P. Brown,Mary Benson McMullen,Nancy File Pdf

The essential resource to the issues surrounding childhood care and education with contributions from noted experts The Wiley Handbook of Early Childhood Care and Education is a comprehensive resource that offers a review of the historical aspects, best practices, and the future directions of the field. With contributions from noted experts in the field, the book contains 30 interdisciplinary essays that explore in-depth the central issues of early childhood care and education. The handbook presents a benchmark reference to the basic knowledge, effective approaches to use with young children, curriculum design, professional development, current policies, and other critical information. The expert contributors address the myriad complex policy and practice issues that are most relevant today. The essays provide insight into topics such as child development and diversity, the sociocultural process of child development, the importance of the home environment in the lives of young children, early childhood special education, teaching and learning literacy, and much more. This important resource: Presents a comprehensive synopsis of the major components of the field of early childhood care and education Contains contributions from leading scholars, researchers, and experts in the field Offers the foundational knowledge and practices for working with young children Puts the focus on how early childhood works and presents an understanding of culture as a foundational component of both child development and early childhood education Written for academic scholars, researchers, advocates, policymakers, and students of early childhood care and education, The Wiley Handbook of Early Childhood Care and Education is a comprehensive resource to the major issues for dealing with childhood care and education with contributions from noted scholars in the field.

Author : Catherine Twomey Fosnot,Maarten Ludovicus Antonius Marie Dolk
Publisher : Unknown
Page : 51 pages
File Size : 55,7 Mb
Release : 2010
Category : Electronic
ISBN : OCLC:821079513

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Fostering Children's Mathematical Development by Catherine Twomey Fosnot,Maarten Ludovicus Antonius Marie Dolk Pdf

Author : Ann Dowker
Publisher : Routledge
Page : 396 pages
File Size : 40,8 Mb
Release : 2019-03-27
Category : Psychology
ISBN : 9781317627432

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Individual Differences in Arithmetic by Ann Dowker Pdf

Arithmetic is still hugely important in many aspects of modern life, but our personal attitudes to it differ greatly. Many people struggle with the basic principles of arithmetic, whilst others love it and feel confident in their arithmetical abilities. Why are there so many individual differences in people’s performance in, and feelings about, arithmetic? Individual Differences in Arithmetic explores the idea that there is no such thing as arithmetical ability, only arithmetical abilities. The book discusses several important components of arithmetic, from counting principles and procedures to arithmetical estimation, alongside emotional and cognitive components of arithmetical performance. This edition has been extensively revised to include the latest research, including recent cross-cultural and cross-linguistic research, the development of new interventions for children with difficulties and studies of early foundations of mathematical abilities. Drawing on developmental, educational, cognitive and neuropsychological studies, this book will be essential reading for all researchers of mathematical cognition. It will also be of interest to educators and other professionals working within individuals with arithmetic deficits.

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics
Publisher : National Academies Press
Page : 398 pages
File Size : 51,8 Mb
Release : 2009-12-13
Category : Education
ISBN : 9780309128063

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Mathematics Learning in Early Childhood by National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics Pdf

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.

Author : Sherrin B. Hersch,Antonia Cameron,Catherine Twomey Fosnot,Maarten Ludovicus Antonius Marie Dolk
Publisher : Heinemann Educational Books
Page : 0 pages
File Size : 48,7 Mb
Release : 2004
Category : Arithmetic
ISBN : 0325006741

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Fostering Children's Mathematical Development, Grades PreK-3 by Sherrin B. Hersch,Antonia Cameron,Catherine Twomey Fosnot,Maarten Ludovicus Antonius Marie Dolk Pdf

Grade level: 3, 4, 5, p, e, i, t.

Author : W. George Cathcart
Publisher : Prentice Hall
Page : 478 pages
File Size : 51,5 Mb
Release : 2001
Category : Education
ISBN : UVA:X004472675

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Learning Mathematics in Elementary and Middle Schools by W. George Cathcart Pdf

Text is appropriate for courses in Mathematics for the Elementary School. Built on the foundation of the new 2000 NCTM Principles and Standards, this major new entry for K-8 math methods has impacted the market because of its point-of-use links to the standards and its emphasis on the importance of a child-centered approach creating a learning environment that informs teachers how to support children as they build understandings of math concepts. Designed to be neither skimpy nor exhaustive, this text presents theory in an accessible manner and models a wealth of practical activities for teaching. Five videos from the Annenberg/CPB TEACHING MATH video series bring real classrooms to life for teachers and are integrated into the text as four/color, resourceful inserts.

Author : Grace Kelemanik,Amy Lucenta
Publisher : Unknown
Page : 184 pages
File Size : 52,6 Mb
Release : 2022-01-24
Category : Electronic
ISBN : 0325120072

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Teaching for Thinking by Grace Kelemanik,Amy Lucenta Pdf

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.

Author : John J. SanGiovanni,Susie Katt,Kevin J. Dykema
Publisher : Corwin
Page : 217 pages
File Size : 44,5 Mb
Release : 2020-03-09
Category : Education
ISBN : 9781544369433

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Productive Math Struggle by John J. SanGiovanni,Susie Katt,Kevin J. Dykema Pdf

All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work