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Early Mathematical Explorations by Nicola Yelland,Deborah Butler,Carmel Diezmann Pdf
This book presents teachers with a sound theoretical framework for encouraging children to explore mathematical concepts and become numerate in the 21st century. It shows that mathematical learning can occur in a variety of ways, including when children explore ideas through play, problem solving and problem posing, engage in a rich variety of multimodal learning experiences, pursue self-directed activities and cooperate with others, and make connections between ideas and experiences in their everyday worlds. - Back cover
Catalyzing Change in Early Childhood and Elementary Mathematics by DeAnn Huinker Pdf
"Catalyzing Change in Elementary and Early Childhood Mathematics presents four key recommendations to guide conversations that take a critical look at current mathematics programs in order to identify practices, policies, and instructional approaches that hinder any child from becoming confident and capable mathematics learners. The book uses classroom vignettes and student work to illustrate how the eight effective mathematics teaching practices form a framework for equitable instruction and to discuss the teaching of important mathematics topics in number and operations, early algebra, geometry, and data"--
Early Mathematics Learning by Ulrich Kortenkamp,Birgit Brandt,Christiane Benz,Götz Krummheuer,Silke Ladel,Rose Vogel Pdf
This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.
Reconceptualizing Early Mathematics Learning by Lyn D. English,Joanne T. Mulligan Pdf
This book emanated primarily from concerns that the mathematical capabilities of young children continue to receive inadequate attention in both the research and instructional arenas. Research over many years has revealed that young children have sophisticated mathematical minds and a natural eagerness to engage in a range of mathematical activities. As the chapters in this book attest, current research is showing that young children are developing complex mathematical knowledge and abstract reasoning a good deal earlier than previously thought. A range of studies in prior to school and early school settings indicate that young learners do possess cognitive capacities which, with appropriately designed and implemented learning experiences, can enable forms of reasoning not typically seen in the early years. Although there is a large and coherent body of research on individual content domains such as counting and arithmetic, there have been remarkably few studies that have attempted to describe characteristics of structural development in young students’ mathematics. Collectively, the chapters highlight the importance of providing more exciting, relevant, and challenging 21st century mathematics learning for our young students. The chapters provide a broad scope in their topics and approaches to advancing young children’s mathematical learning. They incorporate studies that highlight the importance of pattern and structure across the curriculum, studies that target particular content such as statistics, early algebra, and beginning number, and studies that consider how technology and other tools can facilitate early mathematical development. Reconceptualising the professional learning of teachers in promoting young children’s mathematics, including a consideration of the role of play, is also addressed.
Exploring Mathematics Through Play in the Early Childhood Classroom by Amy Noelle Parks Pdf
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 throughout 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 perseverance and attention to precision. This book will help put play back into the early childhood classroom where it belongs. Book Features: 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. Provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress. Includes highlight boxes with recommended resources, questions for reflection, key research findings, vocabulary, lesson plan templates, and more. “This is one of those books that I wish I had written. It is smart, readable, relevant, and authentically focused on children.” —From the Foreword by Elizabeth Graue, Sorenson Professor of Early Childhood Education, University of Wisconsin “In this deceptively easy-to-read book, Amy Parks explains two things that could make a world of difference in early childhood and elementary classrooms: Mathematics isn’t something in a workbook—it’s a fascinating part of the real world; And playing in school isn’t a luxury—it’s an essential context for learning about all sorts of things, including mathematics. Through vignettes of children learning mathematics as they play, Parks helps teachers recognize their ‘answerability to the moment,’ eschewing someone else’s determination of ‘best practice’ in favor of what works with actual children eager to learn mathematics.” —Rebecca New, School of Education, University of North Carolina at Chapel Hill
The Mathematics IA: Earning Full Marks on HL or SL Mathematics Explorations by Mr. Slosberg Pdf
An assistant examiner and teacher explains to students in simple, practical steps how to earn full marks on their individual exploration for HL or SL Mathematics. This book is intended for students taking either "Applications and Interpretation" or "Analysis and Approaches." Please note: if you are graduating in 2020 or before, you should buy the previous edition of this book. This edition is for the new courses--"Applications and Interpretation" and "Analysis and Approaches"--which will be taught beginning in August 2019 with first exams in May 2021.
Mathematical Explorations for Young Minds by Bálint Hujter,Dániel Lenger,Gábor Szűcs Pdf
This book presents a carefully curated selection of mathematical problems suitable for young minds aged 12 and beyond. Most of these problems have been adapted from the Dürer Competition, a venerable mathematics competition in Hungary renowned for fostering teamwork and encouraging creative thinking in the realm of mathematical problem-solving. Within the pages of this book, readers are invited to accompany Albrecht, Tarkal, and Zsordi on 14 captivating journeys to the enigmatic Island of Oxisz, where they will encounter a total of 84 thought-provoking problems. Some of these challenges are intricately interconnected, elevating the level of difficulty. The concluding section provides comprehensive solutions and helpful hints, illuminating the paths taken by the three friends to tackle the problems. No specialized prior knowledge is required beyond a solid foundation in mathematics from the first seven years of school. Nevertheless, many problems in the book demand original ideas or clever combinations of elementary principles. This book offers students, mathematics educators, and trainers alike a captivating glimpse into a distinctive competition, making it a valuable resource for cultivating problem-solving skills at an early age.
Digital Technologies and Learning in the Early Years by Lorna Arnott Pdf
iPads, mobile phones, tablets and many other digital devices feature in the lives of children from the moment they are born, but what is the place of these technologies in children’s early years and learning experiences? In the age of the ‘Techno-Tot’ this edited collection focuses on exploring the potential of what children can do with technologies, rather than what technologies can do for children. With chapters written by a range of international authors, this book: offers an evidence-based discussion of children’s experiences with technologies in early years education broadens our understanding of technologies in early years, beyond the typical focus on screen-based media details the child’s ‘story’ with technology offers a range of case studies from the UK, USA, Australia and Europe. Lorna Arnott will be discussing key ideas from Digital Technologies and Learning in the Early Years in the SAGE Early Years Masterclass, a free professional development experience hosted by Kathy Brodie.
Mathematical Explorations for Advanced Students by Paul Chika Emekwulu Pdf
Topics covered in this book include: Summation strategies for first n Fibonacci numbers, Using sigma notation for finding the sum of first n Fibonacci numbers, Among others, the book also contains: Independent Trial QuestionsOf special interest is the following Fibonacci problem: If a, b, c, d, e are five consecutive Fibonacci numbers, and a is odd-subscripted, then a and e are the roots of the equation, x^2 - 3cx + c^2 + 1 = 0.
Early Childhood Education by Moncrieff Cochran,Rebecca S. New Pdf
Early childhood education has reached a level of unprecedented national and international focus. Parents, policy makers, and politicians have opinions as well as new questions about what, how, when, and where young children should learn. Teachers and program administrators now find curriculum discussions linked to dramatic new understandings about children's early learning and brain development. Early childhood education is also a major topic of concern internationally, as social policy analysts point to its role in a nation's future economic outlook. As a groundbreaking contribution to its field, this four-volume handbook discusses key historical and contemporary issues, research, theoretical perspectives, national policies, and practices.
Planting the Seeds of Algebra, PreK–2 by Monica Neagoy Pdf
Help young minds explore algebraic concepts This book shows teachers how to create a strong foundation in algebra for very young children. Using in-depth math “explorations,” the author unpacks—step by step—the hidden connections to higher algebra. Each exploration contains an elegantly simple grade-banded lesson (on addition, subtraction, patterns, and odd and even numbers), followed by a discussion of the lesson's algebra connections, as well as suggestions for additional problems to explore. Throughout, readers will find: Clear explanations of algebraic connections Specific strategies for teaching the key ideas of algebra Lesson modifications for older or younger students An array of age-appropriate problems and games
Getting Ready to Learn describes how educational media have and are continuing to play a role in meeting the learning needs of children, parents, and teachers. Based on years of meaningful data from the CPB-PBS Ready To Learn Initiative, chapters explore how to develop engaging, playful, and developmentally appropriate content. From Emmy-Award-winning series to randomized controlled trials, this book covers the media production, scholarly research and technological advances surrounding some of the country’s most beloved programming.
