Compared to other popular math books, there is more algebraic manipulation, and more applications of algebra in number theory and geometry Presents an exciting variety of topics to motivate beginning students May be used as an introductory course or as background reading
What if schools, from the wealthiest suburban nursery school to the grittiest urban high school, thrummed with the sounds of deep immersion? More and more people believe that can happen - with the aid of video games. Greg Toppo's The Game Believes in You presents the story of a small group of visionaries who, for the past 40 years, have been pushing to get game controllers into the hands of learners. Among the game revolutionaries you'll meet in this book: *A game designer at the University of Southern California leading a team to design a video-game version of Thoreau's Walden Pond. *A young neuroscientist and game designer whose research on "Math Without Words" is revolutionizing how the subject is taught, especially to students with limited English abilities. *A Virginia Tech music instructor who is leading a group of high school-aged boys through the creation of an original opera staged totally in the online game Minecraft. Experts argue that games do truly "believe in you." They focus, inspire and reassure people in ways that many teachers can't. Games give people a chance to learn at their own pace, take risks, cultivate deeper understanding, fail and want to try again—right away—and ultimately, succeed in ways that too often elude them in school. This book is sure to excite and inspire educators and parents, as well as provoke some passionate debate.
THINKERS are made, not born, and scores on entrance exams are improved by reviewing the information you may have forgotten! There is an old adage that students need to understand: Mathematics is not a spectator sport! What does that mean? An important part of becoming a CRITICAL THINKER, or a valid DECISION MAKER, besides asking questions, is to recognize words that need defining, and that all decisions are based on definitions, assumptions, and previous accepted rules or laws. All people are eager to be THINKERS, but that ability is not a gift, it is learned, practiced and even forgotten. These activities will review some of the types and methods first encountered in geometry and some problems that are similar to the ones on the SAT, ACT and other entrance exams. In the March 2010 issue of School Science and Mathematics, it was pointed out the two major weaknesses in college freshmen are in geometry and Critical Thinking, hence these 98 activities are involving direct and indirect thinking skills, forms of implications and other types all designed to convert those difficult special days into unique learning fun days. These activities are designed for students (working in small groups) to create the learning situations by doing them with the teacher guidance assisting them to the conclusions. Many of my former students commented that what they enjoyed and learned from the classes, more than anything else, was activities like these, hence, my reason to share some of these with other teachers.
Written for liberal arts students and based on the belief that learning to solve problems is the principal reason for studying mathematics, Karl Smith introduces students to Polya’s problem-solving techniques and shows them how to use these techniques to solve unfamiliar problems that they encounter in their own lives. Through the emphasis on problem solving and estimation, along with numerous in-text study aids, students are assisted in understanding the concepts and mastering the techniques. In addition to the problem-solving emphasis, THE NATURE OF MATHEMATICS is renowned for its clear writing, coverage of historical topics, selection of topics, level, and excellent applications problems. Smith includes material on such practical real-world topics as finances (e.g. amortization, installment buying, annuities) and voting and apportionment. With the help of this text, thousands of students have experienced mathematics rather than just do problems--and benefited from a writing style that boosts their confidence and fosters their ability to use mathematics effectively in their everyday lives. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course.
A nonfiction exploration of the world of science by a science fiction master provides a look at the real-life adventures and excitement of scientific discoveries, from tours of museums to explorations of volcanoes. 25,000 first printing.
This book combines accessible explanations of mathematical concepts with practical advice on effective ways of teaching the subject. Section A provides a framework of good practice. Section B aims to support and enhance teachers subject knowledge in mathematical topics beyond what is taught to primary children. Each chapter also highlights teaching issues and gives examples of tasks relevant to the classroom. Section C is a collection of papers from tutors from four universities centred around the theme of effective teaching and quality of learning during this crucial time for mathematics education.
Author: Brian P. Katz,Michael Starbird,Michael P. Starbird
Designed for undergraduate students and lecturers, this text guides its users to develop the skills, attitudes, and habits of mind of a mathematician. It presents a carefully designed sequence of exercises and theorems so that its readers will be directed to discover mathematical ideas, strategies of proof, and strategies of thinking. Through the exploration of interesting mathematical content including graphs, groups, and calculus, this book helps to foster habits of inquiry. This book can be used by instructors as a text for an inquiry-based introduction to proof course, or as an independent study guide for mathematics students. The three core mathematical topics are presented separately, and each helps students develop theorem-proving skills and strategies of thinking whilst also providing an organised set of challenges that lead students to understand the process of mathematical creativity and development.
Every year, thousands of students in the USA declare mathematics as their major. Many are extremely intelligent and hardworking. However, even the best will encounter challenges, because upper-level mathematics involves not only independent study and learning from lectures, but also a fundamental shift from calculation to proof. This shift is demanding but it need not be mysterious — research has revealed many insights into the mathematical thinking required, and this book translates these into practical advice for a student audience. It covers every aspect of studying as a mathematics major, from tackling abstract intellectual challenges to interacting with professors and making good use of study time. Part 1 discusses the nature of upper-level mathematics, and explains how students can adapt and extend their existing skills in order to develop good understanding. Part 2 covers study skills as these relate to mathematics, and suggests practical approaches to learning effectively while enjoying undergraduate life. As the first mathematics-specific study guide, this friendly, practical text is essential reading for any mathematics major.
The People Speak tells the story of Britain through the voices of the visionaries, dissenters, rebels and everyday folk who took on the Establishment and stood up for what they believed in. Here are their stories, letters, speeches and songs, from the Peasants Revolt to the Suffragettes to the anti-war demonstrators of today. They are some of the most powerful words in our history. Compiled by the Oscar-winning actor Colin Firth, influential writer Anthony Arnove and the acclaimed historian David Horspool, The People Speak reminds us that democracy has never been a spectator sport.
This manual contains open-ended activities for the student to practice and apply the knowledge they learn from the main text. When students begin teaching, they can use the activities as models in their own classrooms. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.