Problems in Mathematics with Hints and Solutions
V. Govorov - 1996
Theory has been provided in points between each chapter for clarifying relevant basic concepts. The book consist four parts algebra and trigonometry, fundamentals of analysis, geometry and vector algebra and the problems and questions set during oral examinations. Each chapter consist topic wise problems. Sample examples are provided after each text for understanding the topic well. The fourth part "oral examination problems and question" includes samples suggested by the higher schools for the help of students. Answers and hints are given at the end of the book for understanding the concept well. About the Book: Problems in Mathematics with Hints and Solutions Contents: Preface Part 1. Algebra, Trigonometry and Elementary Functions Problems on Integers. Criteria for Divisibility Real Number, Transformation of Algebraic Expressions Mathematical Induction. Elements of Combinatorics. BinomialTheorem Equations and Inequalities of the First and the SecondDegree Equations of Higher Degrees, Rational Inequalities Irrational Equations and Inequalities Systems of Equations and Inequalities The Domain of Definition and the Range of a Function Exponential and Logarithmic Equations and Inequalities Transformations of Trigonometric Expressions. InverseTrigonometric Functions Solutions of Trigonometric Equations, Inequalities and Systemsof Equations Progressions Solutions of Problems on Derivation of Equations Complex Numbers Part 2. Fundamentals of Mathematical Analysis Sequences and Their Limits. An Infinitely Decreasing GeometricProgression. Limits of Functions The Derivative. Investigating the Behaviors of Functions withthe Aid of the Derivative Graphs of Functions The Antiderivative. The Integral. The Area of a CurvilinearTrapezoid Part 3. Geometry and Vector Algebra Vector Algebra Plane Geometry. Problems on Proof Plane Geometry. Construction Problems Plane Geometry. C
The Core Six: Essential Strategies for Achieving Excellence with the Common Core
Harvey F. Silver - 2012
You know how the standards emerged, what they cover, and how they are organized. But how do you translate the new standards into practice?Enter the Core Six: six research-based, classroom-proven strategies that will help you and your students respond to the demands of the Common Core. Thanks to more than 40 years of research and hands-on classroom testing, the authors know the best strategies to increase student engagement and achievement and prepare students for college and career. Best of all, these strategies can be used across all grade levels and subject areas.The Core Six include1. Reading for Meaning.2. Compare & Contrast.3. Inductive Learning.4. Circle of Knowledge.5. Write to Learn.6. Vocabulary's CODE.For each strategy, this practical book provides* Reasons for using the strategy to address the goals of the Common Core.* The research behind the strategy.* A checklist for implementing the strategy in the classroom.* Multiple sample lessons that illustrate the strategy in action.* Planning considerations to ensure your effective use of the strategy.Any strategy can fall flat in the classroom. By offering tips on how to capture students' interest, deepen students' understanding of each strategy, use discussion and questioning techniques to extend student thinking, and ask students to synthesize and transfer their learning, The Core Six will ensure that your instruction is inspired rather than tired.
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.
This Is Disciplinary Literacy: Reading, Writing, Thinking, and Doing . . . Content Area by Content Area
ReLeah Cossett Lent - 2015
In this important reference, content teachers and other educators explore why students need to understand how historians, novelists, mathematicians, and scientists use literacy in their respective fields. ReLeah shows how to teach students to:Evaluate and question evidence (Science) Compare sources and interpret events (History) Favor accuracy over elaboration (Math) Attune to voice and fi gurative language (ELA)
From Striving to Thriving: How to Grow Confident, Capable Readers
Stephanie Harvey - 2017
Literacy specialists Stephanie Harvey and Annie Ward demonstrate how to “table the labels” and use detailed formative assessments to craft targeted, personalized instruction that enable striving readers to do what they need above all - to find books they love and engage in voluminous reading. Loaded with ready-to-go lessons, routines, and “actions,” as well as the latest research, this book is a must for any teacher who strives to make every reader a thriving reader.
Rock, Paper, Scissors: Game Theory in Everyday Life
Len Fisher - 2000
Len Fisher turns his attention to the science of cooperation in his lively and thought-provoking book. Fisher shows how the modern science of game theory has helped biologists to understand the evolution of cooperation in nature, and investigates how we might apply those lessons to our own society. In a series of experiments that take him from the polite confines of an English dinner party to crowded supermarkets, congested Indian roads, and the wilds of outback Australia, not to mention baseball strategies and the intricacies of quantum mechanics, Fisher sheds light on the problem of global cooperation. The outcomes are sometimes hilarious, sometimes alarming, but always revealing. A witty romp through a serious science, Rock, Paper, Scissors will both teach and delight anyone interested in what it what it takes to get people to work together.
Language at the Speed of Sight
Mark Seidenberg - 2017
Little has changed, however, since then: over half of our children still read at a basic level and few become highly proficient. Many American children and adults are not functionally literate, with serious consequences. Poor readers are more likely to drop out of the educational system and as adults are unable to fully participate in the workforce, adequately manage their own health care, or advance their children's education. In Language at the Speed of Sight, internationally renowned cognitive scientist Mark Seidenberg reveals the underexplored science of reading, which spans cognitive science, neurobiology, and linguistics. As Seidenberg shows, the disconnect between science and education is a major factor in America's chronic underachievement. How we teach reading places many children at risk of failure, discriminates against poorer kids, and discourages even those who could have become more successful readers. Children aren't taught basic print skills because educators cling to the disproved theory that good readers guess the words in texts, a strategy that encourages skimming instead of close reading. Interventions for children with reading disabilities are delayed because parents are mistakenly told their kids will catch up if they work harder. Learning to read is more difficult for children who speak a minority dialect in the home, but that is not reflected in classroom practices. By building on science's insights, we can improve how our children read, and take real steps toward solving the inequality that illiteracy breeds. Both an expert look at our relationship with the written word and a rousing call to action, Language at the Speed of Sight is essential for parents, educators, policy makers, and all others who want to understand why so many fail to read, and how to change that.
The Underdog Advantage - Rewrite Your Future By Turning Your Disadvantages Into Your Superpowers
Dean Graziosi
Do things look good on the outside but on the inside, you feel like a prisoner trapped in mediocrity? Or maybe you feel like you missed your chance, or you can’t find your starting point and no matter what you do, nothing moves you forward? You’re the underdog—dismissed, counted out, lacking the right resources and unsupported. This book changes all that by taking you on a journey and showing you what successful "Underdogs" throughout time have already discovered. Your so called disadvantaged are the fuel and the hidden superpower to accomplish anything you know the secret on how to flip the success switch on in your life... This Book will show you that as an underdog (Something we all are) you’re actually in a great position, and with one or two small shifts, you can unlock limitless potential. Being an underdog means you don’t have to worry about what other people think, you have a lot of room to improve, you can get easy momentum, you can sneak up on competitors, and you have incredible sources of motivation. Soon you will learn that being an underdog is actually your ultimate unfair advantage to next level wealth, prosperity, happiness and joy...
The Flat World and Education: How America's Commitment to Equity Will Determine Our Future
Linda Darling-Hammond - 2009
students continue to slip behind in the worlds rankings in science and math. Yet, at the same time, state prison budgets are increasing nearly three times as fast as budgets for education. In her new book, Linda Darling-Hammond, a chief education advisor to President Barack Obama, a bestselling author, and a nationally recognized leader in education reform, explores how America's performance globally is linked to the minority-majority achievement gap at home.
Unmistakable Impact: A Partnership Approach for Dramatically Improving Instruction
Jim Knight - 2010
Award-winning author Jim Knight provides tangible tools for translating staff members' joy of learning into high-leverage practices that achieve dramatic results. Characteristics of Impact Schools include: A focused, clearly defined improvement plan that takes into account the complexity of teaching and learning relationships A school culture that encourages enrollment in ongoing professional development Alignment of purpose and actions among all staff members
Uncovering the Logic of English: A Common-Sense Solution to America's Literacy Crisis
Denise Eide - 2011
Temple Grandin called "really helpful for teaching reading to children who are mathematical pattern thinkers..."For the past 70 years students have needed to break the complex code of English without help. This has resulted in low literacy rates and highly educated professionals who cannot spell. The principles taught in Uncovering the Logic of English describe 98% of English words and eliminate the need to guess.Simple answers are given for questions such as:* Why is there a silent final E in have?* Why don't we drop the E in noticeable?* Why is discussion spelled with -sion rather than -tion?As the rules unfold it becomes apparent how this knowledge is vital to reversing the educational crisis that is plaguing America. This slim volume is easy to read and accessible to parents and classroom teachers.
Pure Mathematics 1: Advanced Level Mathematics
Hugh Neill - 2002
Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.
The Game Theorist's Guide to Parenting: How the Science of Strategic Thinking Can Help You Deal with the Toughest Negotiators You Know--Your Kids
Paul Raeburn - 2016
But how can we avoid those all-too-familiar wails of “That’s not fair!” and “You can’t make me!”? In The Game Theorist’s Guide to Parenting, the award-winning journalist and father of five Paul Raeburn and the game theorist Kevin Zollman pair up to highlight tactics from the worlds of economics and business that can help parents break the endless cycle of quarrels and ineffective solutions. Raeburn and Zollman show that some of the same strategies successfully applied to big business deals and politics—such as the Prisoner’s Dilemma and the Ultimatum Game—can be used to solve such titanic, age-old parenting problems as dividing up toys, keeping the peace on long car rides, and sticking to homework routines.Raeburn and Zollman open each chapter with a common parenting dilemma. Then they show how carefully concocted schemes involving bargains and fair incentives can save the day. Through smart case studies of game theory in action, Raeburn and Zollman reveal how parents and children devise strategies, where those strategies go wrong, and what we can do to help raise happy and savvy kids while keeping the rest of the family happy too.Delightfully witty, refreshingly irreverent, and just a bit Machiavellian, The Game Theorist’s Guide to Parenting looks past the fads to offer advice you can put into action today.
Guiding the Gifted Child: A Practical Source for Parents and Teachers
James T. Webb - 1985
For years, parents have referred to it as "the Dr. Spock book for parents of gifted children." Gifted children have unique social and emotional concerns, and this book provides the guidance that parents need to support them. Each chapter features problems or issues common to gifted children and their families. Topics include communication, discipline, friends, sibling rivalry, and educational needs.
The Years That Matter Most: How College Makes or Breaks Us
Paul Tough - 2019
Drawing on new research, the book reveals how the landscape of higher education has shifted in recent decades and exposes the hidden truths of how the system works and whom it works for. And it introduces us to the people who really make higher education go: admissions directors trying to balance the class and balance the budget, College Board officials scrambling to defend the SAT in the face of mounting evidence that it favors the wealthy, researchers working to unlock the mysteries of the college-student brain, and educators trying to transform potential dropouts into successful graduates. With insight, humor, and passion, Paul Tough takes readers on a journey from Ivy League seminar rooms to community college welding shops, from giant public flagship universities to tiny experimental storefront colleges. Whether you are facing your own decision about college or simply care about the American promise of social mobility, The Years That Matter Most will change the way you think—not just about higher education, but about the nation itself.