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"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.
Taking a research-based, integrated problem solving approach to technical and professional writing, this volume provides a model that illustrates real working-world solutions to problems that readers are likely to encounter in the workplace. Designed to show that problem solving is a multidimensional process, each chapter begins with a short scenario case study that deals with theoretical or applied issues of technical and professional communication, thereby preparing users to excel in the professional world. The volume addresses a variety of forms of professionalism and problem solving including technical and rhetorical problem solving, solving problems through research, reports and completion reports, proposals, letters and memoranda's, solving problems through trip reports, feasibility studies, and lab reports, policy statements, manuals, and procedures, as well as solving problems in the professional job search, through document design, and through oral presentations. For business professionals and others who would benefit from enhanced problem-solving skills.
Addresses common writing problems, including dangling modifiers, bad diction, sentence fragments, comma errors, and more Strengthens student writing with clear, easy-to-follow practice exercises Includes guidance on writing strategies and the writing process See Solving Common Writing Problems Set
The fun and simple problem-solving guide that took Japan by storm Ken Watanabe originally wrote Problem Solving 101 for Japanese schoolchildren. His goal was to help shift the focus in Japanese education from memorization to critical thinking, by adapting some of the techniques he had learned as an elite McKinsey consultant. He was amazed to discover that adults were hungry for his fun and easy guide to problem solving and decision making. The book became a surprise Japanese bestseller, with more than 370,000 in print after six months. Now American businesspeople can also use it to master some powerful skills. Watanabe uses sample scenarios to illustrate his techniques, which include logic trees and matrixes. A rock band figures out how to drive up concert attendance. An aspiring animator budgets for a new computer purchase. Students decide which high school they will attend. Illustrated with diagrams and quirky drawings, the book is simple enough for a middleschooler to understand but sophisticated enough for business leaders to apply to their most challenging problems.
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.
Veteran teacher and author Colleen Cruz has seen it all and done it all in the writing classroom-and she's got something to admit: this is hard work. Real hard. In The Unstoppable Writing Teacher she takes on the common concerns, struggles, and roadblocks that we all face in writing instruction and helps us engage in the process of problem solving each one. From dealing with writing workshop skeptics to working with students both gifted and challenged, and of course combating that eternal barrier-lack of time-Colleen offers tried-and-true strategies to address and overcome obstacles. For the struggles unique to you, she includes a "Name Your Monster" section that helps you identify your own individual roadblocks and even offers sustainable support through her blog, colleencruz.com. "We can't solve all the problems we're faced with in writing instruction," Colleen promises, "but we can choose how to respond to them. And our responses will make all the difference." What makes you unstoppable, or what's stopping you? Connect with Colleen on her blog at www.colleencruz.com/blog.htm or on Twitter, #unstoppablewritingteacher.
The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.