How Students Learn
How Students Learn

Author: National Research Council

Publisher: National Academies Press

Published: 2005-01-23

Total Pages: 633

ISBN-13: 0309074339

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How do you get a fourth-grader excited about history? How do you even begin to persuade high school students that mathematical functions are relevant to their everyday lives? In this volume, practical questions that confront every classroom teacher are addressed using the latest exciting research on cognition, teaching, and learning. How Students Learn: History, Mathematics, and Science in the Classroom builds on the discoveries detailed in the bestselling How People Learn. Now, these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in teaching history, science, and math topics at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. The book explores the importance of balancing students' knowledge of historical fact against their understanding of concepts, such as change and cause, and their skills in assessing historical accounts. It discusses how to build straightforward science experiments into true understanding of scientific principles. And it shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities. How Students Learn offers a highly useful blend of principle and practice. It will be important not only to teachers, administrators, curriculum designers, and teacher educators, but also to parents and the larger community concerned about children's education.

Number Sense Routines
Number Sense Routines

Author: Jessica F. Shumway

Publisher: Stenhouse Publishers

Published: 2011

Total Pages: 194

ISBN-13: 1571107908

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Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.

Number Talks
Number Talks

Author: Sherry Parrish

Publisher: Math Solutions

Published: 2010

Total Pages: 434

ISBN-13: 1935099116

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"A multimedia professional learning resource"--Cover.

Fostering Children's Mathematical Power
Fostering Children's Mathematical Power

Author: Arthur J. Baroody

Publisher: Routledge

Published: 1998-09-01

Total Pages: 621

ISBN-13: 1135674051

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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.

Number Sense Interventions
Number Sense Interventions

Author: Nancy C. Jordan

Publisher: Brookes Publishing Company

Published: 2014

Total Pages: 0

ISBN-13: 9781598572919

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Use with the Number Sense Screener?(NSS?), your quick, reliable way to screen early numerical competencies. Find out where children need extra support-and then use the Number Sense Interventions to target those specific skills.

Commonsense Methods for Children with Special Educational Needs
Commonsense Methods for Children with Special Educational Needs

Author: Peter Westwood

Publisher: Routledge

Published: 2015-04-30

Total Pages: 225

ISBN-13: 1317507762

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This fully revised and updated seventh edition of Commonsense Methods for Children with Special Educational Needs continues to offer practical advice on evidence-based teaching methods and intervention strategies for helping children with a wide range of disabilities or difficulties. The advice the author provides is embedded within a clear theoretical context and draws on the latest international research and literature from the field. Coverage includes: learning difficulties and disabilities students with autism spectrum disorders, intellectual disability, physical or health issues, and sensory impairments gifted and talented students developing social skills and self-management behaviour management teaching methods literacy and numeracy curriculum differentiation and adaptive teaching computer-based instruction and e-learning. Peter Westwood also provides additional information and advice on transition from school to employment for students with disabilities, lesson study, e-learning, and computer-aided instruction, and reflects on the important changes made within the latest Diagnostic and Statistical Manual of Mental Disorders (DSM-5).

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8
Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Author: Jennifer M. Bay-Williams

Publisher: Corwin

Published: 2021-03-02

Total Pages: 265

ISBN-13: 1071818430

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Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Planting the Seeds of Algebra, PreK–2
Planting the Seeds of Algebra, PreK–2

Author: Monica Neagoy

Publisher: Corwin Press

Published: 2012-04-20

Total Pages: 210

ISBN-13: 1412996600

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The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped ...

Transforming the Workforce for Children Birth Through Age 8
Transforming the Workforce for Children Birth Through Age 8

Author: National Research Council

Publisher: National Academies Press

Published: 2015-07-23

Total Pages: 587

ISBN-13: 0309324882

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Children are already learning at birth, and they develop and learn at a rapid pace in their early years. This provides a critical foundation for lifelong progress, and the adults who provide for the care and the education of young children bear a great responsibility for their health, development, and learning. Despite the fact that they share the same objective - to nurture young children and secure their future success - the various practitioners who contribute to the care and the education of children from birth through age 8 are not acknowledged as a workforce unified by the common knowledge and competencies needed to do their jobs well. Transforming the Workforce for Children Birth Through Age 8 explores the science of child development, particularly looking at implications for the professionals who work with children. This report examines the current capacities and practices of the workforce, the settings in which they work, the policies and infrastructure that set qualifications and provide professional learning, and the government agencies and other funders who support and oversee these systems. This book then makes recommendations to improve the quality of professional practice and the practice environment for care and education professionals. These detailed recommendations create a blueprint for action that builds on a unifying foundation of child development and early learning, shared knowledge and competencies for care and education professionals, and principles for effective professional learning. Young children thrive and learn best when they have secure, positive relationships with adults who are knowledgeable about how to support their development and learning and are responsive to their individual progress. Transforming the Workforce for Children Birth Through Age 8 offers guidance on system changes to improve the quality of professional practice, specific actions to improve professional learning systems and workforce development, and research to continue to build the knowledge base in ways that will directly advance and inform future actions. The recommendations of this book provide an opportunity to improve the quality of the care and the education that children receive, and ultimately improve outcomes for children.

A Family's Guide
A Family's Guide

Author: Amy Mirra

Publisher:

Published: 2004-01-01

Total Pages: 26

ISBN-13: 9780873535779

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Family members play an important role in their children's attitudes toward, and success with, mathematics. This award-winning guide summarises what today's mathematics classroom is like, offers tips on how family members can help their children have a positive attitude and enjoy mathematics and presents practical ways to discuss and do maths at home together during everyday situations. Ideas are presented from the elementary and prekindergarten years all the way through high school. The guide is a great resource for family members or teachers and administrators who want ideas to share with family members during events such as Parent Teacher or Family Maths Nights. Reproducible take-home pages addressing questions commonly asked by family members are also included and can be used by teachers and administrators who want to send information home to family members.