Download or read book Exploring the Integer Addition and Subtraction Landscape written by Laura Bofferding and published by Springer. This book was released on 2018-08-24 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students’ learning. This book brings together recent work from researchers to illuminate the state of our understanding about issues related to integer addition and subtraction with a goal of highlighting how the variety of perspectives support each other or contribute to the field in unique ways. In particular, this book focuses on three main areas of integer work: students’ thinking, models and metaphors, and teachers’ thinking. Each chapter highlights a theoretically guided study centered on integer addition and subtraction. Internationally known scholars help connect the perspectives and offer additional insights through section commentaries. This book is an invaluable resource to those who are interested in mathematics education and numerical thinking.
Download or read book Constructing Number written by Anderson Norton and published by Springer. This book was released on 2018-12-17 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.
Download or read book Planting the Seeds of Algebra PreK 2 written by Monica Neagoy and published by Corwin Press. This book was released on 2012-04-20 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ...
Download or read book A Focus on Addition and Subtraction written by Caroline B. Ebby and published by Routledge. This book was released on 2020-11-23 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K–3. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A focus on the OGAP Addition, Subtraction, and Base Ten Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; An accompanying eResource, available online, offers an answer key to Looking Back questions, as well as a copy of the OGAP Additive Framework and the OGAP Number Line Continuum. A Focus on Addition and Subtraction marks the fourth installment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
Download or read book Young Mathematicians at Work written by Catherine Twomey Fosnot and published by Heinemann Educational Books. This book was released on 2001 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.
Download or read book Teaching by Design in Elementary Mathematics Grades 2 3 written by Jennifer Stepanek and published by Corwin Press. This book was released on 2010-11-19 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strengthen your mathematics lessons through collaborative planning Teaching by Design in Elementary Mathematics is a series of comprehensive professional development guides that help teachers investigate how students learn. Grounded in the latest research, this book is one of three volumes focused on grade-appropriate number and operations topics aligned with the Common Core State Standards. The capstone activity of each book guides the group through the co-creation and implementation of a prototype lesson. The teacher teams then evaluate the impact of the lesson on student learning and work together to revise it for maximum effectiveness. Through the process, teachers develop: Deeper content knowledge of important mathematical concepts Improved understanding of how students learn these mathematical ideas A stronger foundation for developing effective lessons and improving instruction Enhanced collaboration skills Each volume includes a large assortment of reproducible handouts as well as built-in facilitation notes. Teachers will also find helpful resources that address the issue of finding time for school-based professional development and teacher collaboration.
Download or read book Young Mathematicians at Work written by Catherine Twomey Fosnot and published by Heinemann Educational Books. This book was released on 2001 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.
Download or read book Exploring Addition and Subtraction written by John Alfred Hope and published by . This book was released on 1999-10-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Landscape of the Spirits written by Todd W. Bostwick and published by University of Arizona Press. This book was released on 2002-09-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: High above the noise and traffic of metropolitan Phoenix, Native American rock art offers mute testimony that another civilization once thrived in the Arizona desert. In the city's South Mountains, prehispanic peoples pecked thousands of images into the mountains' boulders and outcroppings—images that today's hikers can encounter with every bend in the trail. Todd Bostwick, an archaeologist who has studied the Hohokam for more than twenty years, and Peter Krocek, a professional photographer with a passion for archaeology, have combed the South Mountains to locate nearly all of the ancient petroglyphs found in the canyons and ridges. Their years of learning the landscape and investigating the ancient designs have resulted in a book that explores this wealth of prehistoric rock art within its natural and cultural contexts, revealing what these carvings might mean, how they got there, and when they were made. Landscape of the Spirits is the first book to cover these ancient images and is one of the most comprehensive treatments of a rock art location ever published. It conveys the range of different rock art elements and compositions found in the South Mountains—animals, humans, and geometric shapes, as well as celestial and calendrical markings at key sites—through accurate descriptions, drawings, and photographs. Interpretations of the petroglyphs are based on Native American ethnographic accounts and consider the most recent theories concerning shamanism and archaeoastronomy. Written in a simple and accessible style, Landscape of the Spirits is an indispensable volume for anyone exploring the South Mountains, and for rock art enthusiasts everywhere who wish to broaden their understanding of the prehistoric world. It is both an authoritative overview of these ancient wonders and an unprecedented benchmark in southwestern rock art research at a single geographic location.
Download or read book Minilessons for Extending Addition and Subtraction written by Willem Uttenbogaard and published by Firsthand. This book was released on 2008-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A resource of 68 minilessons designed to be used at the start of a math workshop and to last for ten to fifteen minutes.
Download or read book Building Support for Scholarly Practices in Mathematics Methods written by Signe E. Kastberg and published by IAP. This book was released on 2017-09-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building Support for Scholarly Practices in Mathematics Methods is the product of collaborations among over 40 mathematics teacher educators (MTEs) who teach mathematics methods courses for prospective PreK?12 teachers in many different institutional contexts and structures. Each chapter unpacks ways in which MTEs use theoretical perspectives to inform their construction of goals, activities designed to address those goals, facilitation of activities, and ways in which MTEs make sense of experiences prospective teachers have as a result. The book is organized in seven sections that highlight how the theoretical perspective of the instructor impacts scholarly inquiry and practice. The final section provides insight as we look backward to reflect, and forward with excitement, moving with the strength of the variation we found in our stories and the feeling of solidarity that results in our understandings of purposes for and insight into teaching mathematics methods. This book can serve as a resource for MTEs as they discuss and construct scholarly practices and as they undertake scholarly inquiry as a means to systematically examine their practice.
Download or read book Teaching by Design in Elementary Mathematics Grades 4 5 written by Melinda Leong and published by Corwin Press. This book was released on 2010-12-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strengthen your mathematics lessons through collaborative planning Teaching by Design in Elementary Mathematics is a series of comprehensive professional development guides that help teachers investigate how students learn. Grounded in the latest research, this book is one of three volumes focused on grade-appropriate number and operations topics aligned with the Common Core State Standards. The capstone activity of each book guides the group through the co-creation and implementation of a prototype lesson. The teacher teams then evaluate the impact of the lesson on student learning and work together to revise it for maximum effectiveness. Through the process, teachers develop: Deeper content knowledge of important mathematical concepts Improved understanding of how students learn these mathematical ideas A stronger foundation for developing effective lessons and improving instruction Enhanced collaboration skills Each volume includes a large assortment of reproducible handouts as well as built-in facilitation notes. Teachers will also find helpful resources that address the issue of finding time for school-based professional development and teacher collaboration.
Download or read book Landscape Theory written by Rachel DeLue and published by Routledge. This book was released on 2010-10-28 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artistic representations of landscape are studied widely in areas ranging from art history to geography to sociology. This book brings together more than fifty scholars from many disciplines to establish new ways of thinking about landscape in art.
Download or read book Teaching by Design in Elementary Mathematics Grades K 1 written by Jennifer Stepanek and published by Corwin Press. This book was released on 2010-11-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strengthen mathematics lessons through collaborative learning with this research-based professional development program. Included are grade-appropriate number and operations topics aligned with the Common Core State Standards.
Download or read book Learning Design and Technology written by J. Michael Spector and published by Springer Nature. This book was released on 2023-11-15 with total page 4144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The multiple, related fields encompassed by this Major Reference Work represent a convergence of issues and topics germane to the rapidly changing segments of knowledge and practice in educational communications and technology at all levels and around the globe. There is no other comparable work that is designed not only to gather vital, current, and evolving information and understandings in these knowledge segments but also to be updated on a continuing basis in order to keep pace with the rapid changes taking place in the relevant fields. The Handbook is composed of substantive (5,000 to 15,000 words), peer-reviewed entries that examine and explicate seminal facets of learning theory, research, and practice. It provides a broad range of relevant topics, including significant developments as well as innovative uses of technology that promote learning, performance, and instruction. This work is aimed at researchers, designers, developers, instructors, and other professional practitioners.
Download or read book Roots in a Northern Landscape written by W. Gordon Lawrence and published by . This book was released on 1996 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hypothetical Learning Trajectories written by Douglas H. Clements and published by Routledge. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
