Numbers and the Making of Us is a sweeping account of how numbers radically enhanced our species' cognitive capabilities and sparked a revolution in human culture. Caleb Everett brings new insights in psychology, anthropology, primatology, linguistics, and other disciplines to bear in explaining the myriad human behaviors and modes of thought numbers have made possible, from enabling us to conceptualize time in new ways to facilitating the development of writing, agriculture, and other advances of civilization.Number concepts are a human invention--a tool, much like the wheel, developed and refined over millennia. Numbers allow us to grasp quantities precisely, but they are not innate. Recent research confirms that most specific quantities are not perceived in the absence of a number system. In fact, without the use of numbers, we cannot precisely grasp quantities greater than three; our minds can only estimate beyond this surprisingly minuscule limit.Everett examines the various types of numbers that have developed in different societies, showing how most number systems derived from anatomical factors such as the number of fingers on each hand. He details fascinating work with indigenous Amazonians who demonstrate that, unlike language, numbers are not a universal human endowment. Yet without numbers, the world as we know it would not exist.

    

    Houle World Award for Literature in Adult Education -[Brookfield] gently demystifies critically reflective learning and teaching with dozens of practical examples from the classroom in different scholarly fields. Lucid, wise, jargon-free, personal and fluently written. Required reading for educators of adults everywhere and for all faculty development programs.- -- Jack Mezirow, emeritus professor of adult education, Teachers College, Columbia University Building on the insights of his highly acclaimed earlier work, The Skillful Teacher, and applying the principles of adult learning, Brookfield thoughtfully guides teachers through the processes of becoming critically reflective about teaching, confronting the contradictions involved in creating democratic classrooms, and using critical reflection as a tool for ongoing personal and professional development.

    This student-centered, problem-based approach to learning is a central theme of this book. Learning how best to help children believe that mathematics makes sense and that they themselves can make sense of mathematics is an exciting endeavor and a lifelong process. It requires the knowledge gained from research, the wisdom shared by professional colleagues, and the insightful ideas that come from your own daily experiences with students. I hope that this book will assist you on this fantastic journey. Praise for Elementary and Middle School Mathematics This is absolutely the best book on the market. No other book comes close.–Sandra L. McCune, Stephen F. Austin University I particularly like the emphasis on doing math more than one way (invented math) and the emphasis on problem solving. There is a wealth of resources and children’s books for students to use in their development of concepts.–Carol Geller, Radford University This text is not only a valuable tool in making sense of and encouraging the use of mathematics by preservice teachers, but also for those educators already in the field. –Marilyn Nash, Indiana University South Bend About the AuthorJohn A. Van de Walle is Professor Emeritus, Virginia Commonwealth University. As a mathematics education consultant, he regularly works with K—8 teachers and in elementaryschool classrooms and has taught mathematics to children at all levels, K—8. He is also a coauthor of the Scott Foresman, Addison Wesley Mathematics K,6 series. Jennifer M. Bay-Williams has written a Field Experience Guide to accompany the text. Organized to cover all NCATE and NCTM standards and correlated to all chapters of the text, the Field Experience Guide is packed with field-based assignments and reproducible forms to record your experiences. The guide also includes additional activities for students, full-size versions of the Blackline Masters in the text, and 16 extended lesson plans written by John Van de Walle. For more information or to purchase a copy, visit www.ablongman.com and search for the ISBN (0-205-49314-9.

    

    Beck--an experienced educator who knows what works--this concise volume provides a wealth of practical ideas for building children's decoding skills by teaching letter-sound relationships, blending, word building, and multisyllable words. Straightforward and accessible, the strategies presented for explicit, systematic phonics instruction are ideal for use in primary-grade classrooms or with older students who are having difficulties. Many specific examples bring the instructional procedures to life while elucidating their underlying rationale; appendices include reproducible curriculum materials.

    This is an aspiring story of one teacher who resisted the pressures of 'teaching to the test' and created a curriculum based on his students' needs, wants, and desires.

    Reading, writing, speaking, and listening processes to learn subject matter across the curriculum. Content Area Reading.

    Holding On to Good Ideas in a Time of Bad Ones is my new favorite book about how to live as a teacher. Finishing it, I experienced what I can only describe as a state of grace-moved, renewed, and grateful that a mind like Tom Newkirk's has been intrigued by classroom matters for almost forty years now. Nancie Atwell Author of In the Middle, Second EditionClassic Newkirk: direct, incisive, and brimming with wisdom. Harvey Smokey Daniels Coauthor of Comprehension & CollaborationThis book is one of the best teacher books ever. I'll be giving copies of it to lots of teacher friends as we find our way back to trusting what we know about kids, about learning, and about teaching writing. -Gretchen Bernabei Author of Reviving the EssayHolding On to Good Ideas in a Time of Bad Ones is for every teacher who has struggled under top-down mandates, who ever had to slavishly follow the script of a reading lesson, who ever felt that tests were driving instruction. It is for those whose good, humane, and sensitive ways of teaching literacy are threatened by rigid, mechanical programs. It is for teachers who feel they are losing control of their daily work.Hear a podcast, where Tom Newkirk and Nancie Atwell discuss teaching principles worth fighthing for.In Holding On to Good Ideas in a Time of Bad Ones, Tom Newkirk eloquently defends teaching against the cult of efficiency that turns classrooms into assembly lines of knowledge. Newkirk goes beyond diagnosing the problem to present six ideas worth fighting for. These transformative practices gently but firmly return instructional decisions to where they belong: with you, our teachers. Newkirk shows how to:increase your instructional emphasis on writing to reflect the reality that producing text is more important than ever help students access deep knowledge and expand their thinking through time to write freely build strong connections between school learning and the real world by teaching with popular culture propel the development of reading skills by helping students discover the pleasure of reading provide the time and space for meaningful, long-lasting teaching and learning by uncluttering the curriculum spark professional growth and avoid stagnation by discussing failure and uncertainty with colleagues. Holding On to Good Ideas in a Time of Bad Ones is affirming, not argumentative. It celebrates the humanity and unpredictability of teaching with Newkirk's blend of humor, passion, and warmth. Let it inspire a search for the things in your teaching that are most worth holding on to.

    Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.--Includes 1,000 problems with comprehensive solutions--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps--Kelley is a former award-winning calculus teacher

    This book combines educational research with examples of how retrieval practice can work inside and outside of the classroom.Filled with evidence-informed ideas to support all teachers and leaders across Primary and Secondary. Retrieval practice is a vital element of the science of learning. Understanding how children learn is essential for all educators from NQTs to more experienced teachers and senior leaders.The educational research is presented in a format which is accessible, useful and informative and will help inform educators about cutting-edge research in a comprehensive, clear and applicable way. The practical resources are adaptable and ready to be implemented in any classroom to support and enhance teaching, learning and long term memory.

    The authors provide six different culturally proactive teaching stances or "poses" that secondary ELA teachers can use to meet the needs of all students, whether they are historically marginalized or privileged. They describe how teachers can expect to "wobble" as they adapt instruction to the needs of their students, while also incorporating new insights about their own cultural positionality and preconceptions about teaching. Teachers are encouraged to recognize this flexibility as a positive process or "flow" that can be used to address challenges and adopt ambitious teaching strategies like those depicted in this book. Each chapter highlights a particular pose, describes how to work through common wobbles, incorporates teacher voices, and provides questions for further discussion. Pose, Wobble, Flow presents a framework for disrupting the pervasive myth that there is one set of surefire, culturally neutral "best" practices.Book Features: A structure for career-long growth for ELA teachers, including ways to adapt pedagogy from one year to the next. A focus on culturally proactive positions within ELA classrooms to ensure criticality in how we teach and how we advocate for the teaching profession. Six different poses that are standards-aligned, critical, and expand the possibilities of what takes place in school. Guidelines for creating original poses beyond the scope of the book, discussion questions for courses, and resources for classroom teachers.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    The book begins with an introduction to the language of statistics and then covers descriptive statistics and inferential statistics. Throughout, the author offers readers:- Difficulty Rating Index for each chapter′s material- Tips for doing and thinking about a statistical technique- Top tens for everything from the best ways to create a graph to the most effective techniques for data collection- Steps that break techniques down into a clear sequence of procedures- SPSS tips for executing each major statistical technique- Practice exercises at the end of each chapter, followed by worked out solutions.The book concludes with a statistical software sampler and a description of the best Internet sites for statistical information and data resources. Readers also have access to a website for downloading data that they can use to practice additional exercises from the book. Students and researchers will appreciate the book′s unhurried pace and thorough, friendly presentation.

    Organized according to the elements of explicit instruction (what? why? when? and how?), the Sourcebook includes both research-informed knowledge base and practical sample lesson models. Like the first edition, the updated and revised second edition of the Teaching Reading Sourcebook combines the best features of an academic text and a practical hands-on teacher's guide. It is an indispensable resource for teaching reading and language arts to both beginning and older struggling readers.New to the Teaching Reading Sourcebook, 2nd Edition:All new sample lesson modelsMore reproducible activity mastersA whole new section on reading fluencyMore about letter knowledge and multisyllabic word readingMore about the comprehension strategies that good readers useUseful information about the Comprehensive Reading Model (Three-tier Model)Highly respected contributing authors who are experts in the field of reading