This popular book shows students how to increase their power to analyze problems and to comprehend what they read. First, it outlines and illustrates the method that good problem solvers use in attacking complex ideas. Then, it provides practice in applying these methods to a variety of comprehension and reasoning questions. Books on the improvement of thinking processes have tended to be complicated and less than useful, but the authors of this renowned text emphasize a simple but effective approach. The "Whimbey Method" of teaching problem solving is now recognized as an invaluable means of teaching people to think. Problems are followed by their solutions, presented in easy-to-follow steps. This feature permits students to work without supervision, outside the classroom. As students work through the book they will see a steady improvement in their analytical thinking skills, and will develop confidence in their ability to solve problems--on tests; in academic courses; and in any occupations that involve analyzing, untangling, or comprehending knotty ideas. By helping students to become better problem solvers, this book can assist students in achieving higher scores on tests commonly used for college and job selection, such as: * Scholastic Aptitude Test (SAT) * Graduate Record Examination (GRE) * ACT Work Keys * Terra Nova * Law School Admission Test (LSAT) * Wonderlic Personnel Test * United States Employment Service General Aptitude Test Battery * Civil Service Examination New in the 6th edition: A totally new chapter--"Meeting Academic and Workplace Standards: How This Book Can Help"--describes changes in the educational system in the past 20 years and shows how the techniques taught in this book relate to the new educational standards and tests. Changes throughout the book reflect current educational and social realities: the names of some characters have been changed to represent more accurately the cross-section of students attending today's schools; dates in some problems have been changed; in other problems the technology referred to has been updated.

Nationally recognized mathematics educator and author Art Hyde takes a culminating look at his thirty years of experience working with teachers and students to answer the question: In the Common Core era, what are the most successful practices for helping children solve mathematical problems with deep understanding? The key, he argues, is providing positive experiences with meaningful mathematics centered around rich activities. When students are given the opportunity to wrestle with appropriately difficult activities based on real life situations and intriguing contexts, they become excited about the math and willingly tackle problems with more zeal and accuracy than ever before. The result is deeper understanding of the content and greater skill at doing mathematics. Art draws on extensive research on how children learn and the relationship between reading and mathematical comprehension. His braided model of problem solving in which cognition, language, and mathematics are woven together intentionally forms the basis of math activities that he and numerous elementary teachers around the country have used. Look into the classrooms of some of these math teachers in this book, as they share their success stories illustrating the rewards of using these activities to foster deep mathematical understanding. Arthur Hyde is a professor of mathematics education at National Louis University, where he received its Excellence in Teaching award. While teaching high school mathematics in Philadelphia, he developed a variety of creative methods for teaching math. He also obtained a doctorate in curriculum and instruction from the University of Pennsylvania, where he later directed its teacher-education programs. He has worked frequently in elementary classrooms, conducting extensive professional development programs on teaching mathematics and math problem solving in Chicago and its surrounding school districts. His previous books include: Best Practice, Fourth Edition (coauthored with Steven Zemelman and Harvey Daniels), Understanding Middle School Math, and Comprehending Math.

This popular book shows students how to increase their power to analyze problems and comprehend what they read using the Think Aloud Pair Problem Solving [TAPPS] method. First it outlines and illustrates the method that good problem solvers use in attacking complex ideas. Then it provides practice in applying this method to a variety of comprehension and reasoning questions, presented in easy-to-follow steps. As students work through the book they will see a steady improvement in their analytical thinking skills and become smarter, more effective, and more confident problem solvers. Not only can using the TAPPS method assist students in achieving higher scores on tests commonly used for college and job selection, it teaches that problem solving can be fun and social, and that intelligence can be taught. Changes in the Seventh Edition: New chapter on "open-ended" problem solving that includes inductive and deductive reasoning; extended recommendations to teachers, parents, and tutors about how to use TAPPS instructionally; Companion Website with PowerPoint slides, reading lists with links, and additional problems.

For those who devour Comprehending Math as I did, their teaching will be clearer, bolder, more connected. And for the ultimate beneficiaries, they will have a chance to understand just how integrally our world is connected. Ellin Oliver Keene, author of Mosaic of Thought No matter the content area, students need to develop clear ways of thinking about and understanding what they learn. But this kind of conceptual thinking seems more difficult in math than in language arts and social studies. Fortunately we now know how to help kids understand more about mathematics than ever before, and in Comprehending Math you'll find out that much of math's conceptual difficulty can be alleviated by adapting what we have learned from research on language and cognition. In Comprehending Math Arthur Hyde (coauthor of the popular Best Practice) shows you how to adapt some of your favorite and most effective reading comprehension strategies to help your students with important mathematical concepts. Emphasizing problem solving, Hyde and his colleagues demonstrate how to build into your practice math-based variations of: K - W - L visualizing asking questions inferring predicting making connections determining importance synthesizing He then presents a practical way to "braid" together reading comprehension, math problemsolving, and thinking to improve math teaching and learning. Elaborating on this braided model of approach to problem solving, he shows how it can support planning as well as instruction. Comprehending Math is based on current cognitive research and features more than three dozen examples that range from traditional story problems to open-ended or extended-response problems and mathematical tasks. It gives you step-by-step ideas for instruction and smart, specific advice on planning strategy-based teaching. Help students do math and get it at the same time. Read Comprehending Math, use its adaptations of familiar language arts strategies, and discover how deeply students can understand math concepts and how well they can use that knowledge to solve problems.

When Peter and his friend Archie find motorcycle goggles, some bigger boys try to take them away. Full color. Copyright © Libri GmbH. All rights reserved.

When you and your colleagues want to explore more ways to help students understand what they read, make inferences, and support their thinking with evidence, this book is your ideal tool.