Future Wise: Educating Our Children for a Changing World
David Perkins - 2014
But how do we know what today's learners will really need to know in the future? Future Wise: Educating Our Children for a Changing World is a toolkit for approaching that question with new insight. There is no one answer to the question of what's worth teaching, but with the tools in this book, you'll be one step closer to constructing a curriculum that prepares students for whatever situations they might face in the future.K-12 teachers and administrators play a crucial role in building a thriving society. David Perkins, founding member and co-director of Project Zero at Harvard's Graduate School of Education, argues that curriculum is one of the most important elements of making students ready for the world of tomorrow. In Future Wise, you'll learn concepts, curriculum criteria, and techniques for prioritizing content so you can guide students toward the big understandings that matter.Understand how learners use knowledge in life after graduation Learn strategies for teaching critical thinking and addressing big questions Identify top priorities when it comes to disciplines and content areas Gain curriculum design skills that make the most of learning across the years of education Future Wise presents a brand new framework for thinking about education. Curriculum can be one of the hardest things for teachers and administrators to change, but David Perkins shows that only by reimagining what we teach can we lead students down the road to functional knowledge. Future Wise is the practical guidebook you need to embark on this important quest.
God Created the Integers: The Mathematical Breakthroughs That Changed History
Stephen Hawking - 2005
In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.
Improbable Scholars: The Rebirth of a Great American School System and a Strategy for America's Schools
David L. Kirp - 2013
It can't start from scratch, and it can't fire all its teachers and principals when students do poorly. Great charter schools can only serve a tiny minority of students. Whether we like it or not, most of our youngsters willcontinue to be educated in mainstream public schools.The good news, as David L. Kirp reveals in Improbable Scholars, is that there's a sensible way to rebuild public education and close the achievement gap for all students. Indeed, this is precisely what's happening in a most unlikely place: Union City, New Jersey, a poor, crowded Latino communityjust across the Hudson from Manhattan. The school district--once one of the worst in the state--has ignored trendy reforms in favor of proven game-changers like quality early education, a word-soaked curriculum, and hands-on help for teachers. When beneficial new strategies have emerged, like usingsophisticated data-crunching to generate pinpoint assessments to help individual students, they have been folded into the mix.The results demand that we take notice--from third grade through high school, Union City scores on the high-stakes state tests approximate the statewide average. In other words, these inner-city kids are achieving just as much as their suburban cousins in reading, writing, and math. What's even moreimpressive, nearly ninety percent of high school students are earning their diplomas and sixty percent of them are going to college. Top students are winning national science awards and full rides at Ivy League universities. These schools are not just good places for poor kids. They are good placesfor kids, period.Improbable Scholars offers a playbook--not a prayer book--for reform that will dramatically change our approach to reviving public education.
Making Learning Whole: How Seven Principles of Teaching Can Transform Education
David N. Perkins - 2008
He describes how teaching any subject at any level can be made more effective if students are introduced to the "whole game," rather than isolated pieces of a discipline. Perkins explains how learning academic subjects should be approached like learning baseball or any game, and he demonstrates this with seven principles for making learning whole: from making the game worth playing (emphasizing the importance of motivation to sustained learning), to working on the hard parts (the importance of thoughtful practice), to learning how to learn (developing self-managed learners).Vividly explains how to organize learning in ways that allow people to do important things with what they know Offers guidelines for transforming education to prepare our youth for success in a rapidly changing world Filled with real-world, illustrative examples of the seven principles At the end of each chapter, Perkins includes "Wonders of Learning," a summary of the key ideas.
Calculus Made Easy
Silvanus Phillips Thompson - 1910
With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.
Disrupting Thinking: Why How We Read Matters
Robert Probst - 2017
Now, in Disrupting Thinking they take teachers a step further and discuss an on-going problem: lack of engagement with reading. They explain that all too often, no matter the strategy shared with students, too many students remain disengaged and reluctant readers. The problem, they suggest, is that we have misrepresented to students why we read and how we ought to approach any text - fiction or nonfiction. With their hallmark humor and their appreciated practicality, Beers and Probst present a vision of what reading and what education across all the grades could be. Hands-on-strategies make it applicable right away for the classroom teacher, and turn-and-talk discussion points make it a guidebook for school-wide conversations. In particular, they share new strategies and ideas for helping classroom teachers:–Create engagement and relevance–Encourage responsive and responsible reading–Deepen comprehension–Develop lifelong reading habits“We think it’s time we finally do become a nation of readers, and we know it’s time students learn to tell fake news from real news. It’s time we help students understand why how they read is so important,” explain Beers and Probst. “Disrupting Thinking is, at its heart, an exploration of how we help students become the reader who does so much more than decode, recall, or choose the correct answer from a multiple-choice list. This book shows us how to help students become the critical thinkers our nation needs them to be." Includes online resource bank.
Burn Math Class: And Reinvent Mathematics for Yourself
Jason Wilkes - 2016
In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.
Complex Adaptive Systems: An Introduction to Computational Models of Social Life
John H. Miller - 2007
Such systems--whether political parties, stock markets, or ant colonies--present some of the most intriguing theoretical and practical challenges confronting the social sciences. Engagingly written, and balancing technical detail with intuitive explanations, Complex Adaptive Systems focuses on the key tools and ideas that have emerged in the field since the mid-1990s, as well as the techniques needed to investigate such systems. It provides a detailed introduction to concepts such as emergence, self-organized criticality, automata, networks, diversity, adaptation, and feedback. It also demonstrates how complex adaptive systems can be explored using methods ranging from mathematics to computational models of adaptive agents. John Miller and Scott Page show how to combine ideas from economics, political science, biology, physics, and computer science to illuminate topics in organization, adaptation, decentralization, and robustness. They also demonstrate how the usual extremes used in modeling can be fruitfully transcended.
Socratic Circles: Fostering Critical and Creative Thinking in Middle and High School
Matt Copeland - 2005
In
Socratic Circles: Fostering Critical and Creative Thinking in Middle and High School
, author Matt Copeland provides real-world examples and straightforward answers to frequent questions. He creates a coaching guide for both the teacher new to Socratic seminars and the experienced teacher seeking to optimize the benefits of this powerful strategy.
Socratic Circles
also shows teachers who are familiar with literature circles the many ways in which these two practices complement and extend each other.Effectively implemented, Socratic seminars enhance reading comprehension, listening and speaking skills, and build better classroom community and conflict resolution skills. By giving students ownership over the classroom discussion around texts, they become more independent and motivated learners. Ultimately, because there is a direct relationship between the level of participation and the richness of the experience, Socratic seminars teach students to take responsibility for the quality of their own learning.Filled with examples to help readers visualize the application of these concepts in practice,
Socratic Circles
includes transcripts of student dialogue and work samples of preparation and follow-up activities. The helpful appendices offer ready-to-copy handouts and examples, and suggested selections of text that connect to major literary works.As our classrooms and our schools grow increasingly focused on meeting high standards and differentiating instruction for a wide variety of student needs and learning styles, Socratic seminars offer an essential classroom tool for meeting these goals.
Socratic Circles
is a complete and practical guide to Socratic seminars for the busy classroom teacher.
Growing Up Global: Raising Children to Be At Home in the World
Homa Sabet Tavangar - 2009
In Growing Up Global, Tavangar shares with all of us her “parenting toolbox” to help give our children a vital global perspective. Whether you’re mastering a greeting in ten different languages, throwing an internationally themed birthday party, or celebrating a newfound holiday, Growing Up Global provides parents and children with a rich, exciting background for exploring and connecting with far-flung nations they may have only heard about on television. Inside you’ll discover• fun activities, games, and suggestions for movies, music, books, magazines, service activities, and websites for expanding your family’s worldview • simple explanations that will help your children grasp the diversity of world faiths• creative ways to gain geography literacy• handy lists of celebrations and customs that offer a fascinating look at how people from different cultures around the world live everyday lifeGrowing Up Global is a book that parents, grandparents, and teachers can turn to again and again for inspiration and motivation as they strive to open the minds of children everywhere.
The 5-Hour School Week: An Inspirational Guide to Leaving the Classroom to Embrace Learning in a Way You Never Imagined
Kaleena Amuchastegui - 2018
Outdated, overcrowded schools are taking up our children’s time and taking away from valuable life experiences. There’s a better way to learn—and The 5-Hour School Week is how we hacked homeschool so we could enjoy our life and our kids!When Aaron and Kaleena Amuchastegui took their kids out of school to travel the globe and educate them through experiences, their children became more engaged, self-aware, curious, and passionate about learning. Now, they share their inspiring successes and practical advice to give you the tools you need to create your own unconventional education plan, no matter what your budget, walking you through topics like:Teaching kids to love learningProviding a social educationIncorporating travel into lessonsEmphasizing practical skillsAnd moreThis isn’t your mom’s homeschooling. This is an innovative, eclectic approach to education that will revolutionize your family’s life.
Journey through Genius: The Great Theorems of Mathematics
William Dunham - 1990
Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.
The Golden Ratio: The Divine Beauty of Mathematics
Gary B. Meisner - 2018
This gorgeous book features clear, entertaining, and enlightening commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. With its lush format and layflat dimensions that closely approximate the golden ratio, this is the ultimate coffee table book for math enthusiasts, architects, designers, and fans of sacred geometry.
A New Kind of Science
Stephen Wolfram - 1997
Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton
The Confident Homeschooler: How to Thrive in the Day-to-Day
Pam Barnhill - 2016
Unrealistic expectations, your public school past, and worry combine to sabotage the peace in your homeschool day.In order to take charge of your efforts and your results, you needs ideas that allow you to step outside your old paradigms. This ebook presents five simple ones that will do just that.Discover:• The single shift that will maximize learning in your homeschool.• The most important, and most overlooked, step to homeschooling successfully.• Two simple ideas that will create smooth-running days… for good.• Ideas for creating a schedule that works for you instead of you working for it.• How to take charge of those pesky mornings that often get you off track.In the end, you'll be able to create a homeschool for your family that brings you confidence, peace, and kids who learn.Download this book and turn your attitude and your homeschool around today!