A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.
For the past three decades, many history professors have allowed their biases to distort the way America’s past is taught. These intellectuals have searched for instances of racism, sexism, and bigotry in our history while downplaying the greatness of America’s patriots and the achievements of “dead white men.” As a result, more emphasis is placed on Harriet Tubman than on George Washington; more about the internment of Japanese Americans during World War II than about D-Day or Iwo Jima; more on the dangers we faced from Joseph McCarthy than those we faced from Josef Stalin. A Patriot’s History of the United States corrects those doctrinaire biases. In this groundbreaking book, America’s discovery, founding, and development are reexamined with an appreciation for the elements of public virtue, personal liberty, and private property that make this nation uniquely successful. This book offers a long-overdue acknowledgment of America’s true and proud history.
The Noncommissioned Officer and Petty Officer BACKBONE of the Armed Forces. Introduction The Backbone of the Armed Forces To be a member of the United States Armed Forces--to wear the uniform of the Nation and the stripes, chevrons, or anchors of the military Services--is to continue a legacy of service, honor, and patriotism that transcends generations. Answering the call to serve is to join the long line of selfless patriots who make up the Profession of Arms. This profession does not belong solely to the United States. It stretches across borders and time to encompass a culture of service, expertise, and, in most cases, patriotism. Today, the Nation's young men and women voluntarily take an oath to support and defend the Constitution of the United States and fall into formation with other proud and determined individuals who have answered the call to defend freedom. This splendid legacy, forged in crisis and enriched during times of peace, is deeply rooted in a time-tested warrior ethos. It is inspired by the notion of contributing to something larger, deeper, and more profound than one's own self. Notice: This is a printed Paperback version of the "The Noncommissioned Officer and Petty Officer BACKBONE of the Armed Forces". Full version, All Chapters included. This publication is available (Electronic version) in the official website of the National Defense University (NDU). This document is properly formatted and printed as a perfect sized copy 6x9".
The brilliant, controversial, bestselling critique of American culture that “hits with the approximate force and effect of electroshock therapy” (The New York Times)—now featuring a new afterword by Andrew Ferguson in a twenty-fifth anniversary edition. In 1987, eminent political philosopher Allan Bloom published The Closing of the American Mind, an appraisal of contemporary America that “hits with the approximate force and effect of electroshock therapy” (The New York Times) and has not only been vindicated, but has also become more urgent today. In clear, spirited prose, Bloom argues that the social and political crises of contemporary America are part of a larger intellectual crisis: the result of a dangerous narrowing of curiosity and exploration by the university elites. Now, in this twenty-fifth anniversary edition, acclaimed author and journalist Andrew Ferguson contributes a new essay that describes why Bloom’s argument caused such a furor at publication and why our culture so deeply resists its truths today.
Offers a definition of differentiated instruction, and provides principles and strategies designed to help teachers create learning environments that address the different learning styles, interests, and readiness levels found in a typical mixed-ability classroom.
The invisible man is the unnamed narrator of this impassioned novel of black lives in 1940s America. Embittered by a country which treats him as a non-being he retreats to an underground cell.
Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.
Although much has changed in schools in recent years, the power of differentiated instruction remains the same—and the need for it has only increased. Today's classroom is more diverse, more inclusive, and more plugged into technology than ever before. And it's led by teachers under enormous pressure to help decidedly unstandardized students meet an expanding set of rigorous, standardized learning targets. In this updated second edition of her best-selling classic work, Carol Ann Tomlinson offers these teachers a powerful and practical way to meet a challenge that is both very modern and completely timeless: how to divide their time, resources, and efforts to effectively instruct so many students of various backgrounds, readiness and skill levels, and interests. With a perspective informed by advances in research and deepened by more than 15 years of implementation feedback in all types of schools, Tomlinson explains the theoretical basis of differentiated instruction, explores the variables of curriculum and learning environment, shares dozens of instructional strategies, and then goes inside elementary and secondary classrooms in nearly all subject areas to illustrate how real teachers are applying differentiation principles and strategies to respond to the needs of all learners. This book's insightful guidance on what to differentiate, how to differentiate, and why lays the groundwork for bringing differentiated instruction into your own classroom or refining the work you already do to help each of your wonderfully unique learners move toward greater knowledge, more advanced skills, and expanded understanding. Today more than ever, The Differentiated Classroom is a must-have staple for every teacher's shelf and every school's professional development collection.
