Problem Solving & Comprehension
Problem Solving & Comprehension

Author: Arthur Whimbey

Publisher: Routledge

Published: 2013-06-17

Total Pages: 400

ISBN-13: 1135706174

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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.

Comprehending Problem Solving
Comprehending Problem Solving

Author: Arthur Hyde

Publisher: Heinemann Educational Books

Published: 2014-11-13

Total Pages: 0

ISBN-13: 9780325049243

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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.

Comprehending Math
Comprehending Math

Author: Arthur A. Hyde

Publisher: Heinemann Educational Books

Published: 2006

Total Pages: 220

ISBN-13:

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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.

Goggles!
Goggles!

Author: Ezra Jack Keats

Publisher: Viking Books for Young Readers

Published: 1969

Total Pages: 41

ISBN-13: 0670880620

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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.

Reading for Meaning
Reading for Meaning

Author: Harvey F. Silver

Publisher: ASCD

Published: 2010

Total Pages: 103

ISBN-13: 1416611320

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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.

Comprehension Process Instruction
Comprehension Process Instruction

Author: Cathy Collins Block

Publisher: Guilford Press

Published: 2004-04-28

Total Pages: 274

ISBN-13: 9781593850234

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Filling a crucial gap in the literature, this immensely practical volume presents innovative tools for helping K-3 students significantly increase their ability to make meaning from texts. The focus is on teaching the comprehension processes employed by expert readers, using a carefully sequenced combination of whole-class activities, specially designed kinesthetic movements, metacognitive strategies, and independent reading. Teachers are taken step by step through implementing the authors' research-based approach with diverse students, including English-language learners and children with special needs. Designed in a convenient, large-size format, the book features clear lesson plans and reproducible activities and visual aids, together with fiction and nonfiction book lists. An invaluable resource for helping teachers meet the mandates of No Child Left Behind, the volume is also ideal for use in preservice and inservice training. Every chapter concludes with thought-provoking exercises, activities, and discussion topics.

Powerful Problem Solving
Powerful Problem Solving

Author: Max Ray

Publisher: Heinemann Educational Books

Published: 2013

Total Pages: 0

ISBN-13: 9780325050904

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How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray-Riek and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and turn the Practices into activities that teachers can use to foster habits of mind required by the Common Core: communicating ideas and listening to the reflections of others estimating and reasoning to see the "big picture" of a problem organizing information to promote problem solving using modeling and representations to visualize abstract concepts reflecting on, revising, justifying, and extending the work. Powerful Problem Solving shows what's possible when students become active doers rather than passive consumers of mathematics. Max argues that the process of sense-making truly begins when we create questioning, curious classrooms full of students' own thoughts and ideas. By asking "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems. Read a sample chapter.

Rethinking Reading Comprehension
Rethinking Reading Comprehension

Author: Anne P. Sweet

Publisher: Guilford Press

Published: 2003-04-30

Total Pages: 244

ISBN-13: 9781572308923

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This practical book grows out of a recent report written by the RAND Reading Study Group (RRSG), which proposed a national research agenda in the area of reading comprehension. Here, RRSG members have expanded on their findings and translated them into clear recommendations to inform practice. Teachers gain the latest knowledge about how students learn to comprehend texts and what can be done to improve the quality of instruction in this essential domain. From leading literacy scholars, the book explains research-based ways to: *Plan effective instruction for students at all grade levels *Meet the comprehension needs of English-language learners *Promote adolescents' comprehension of subject-area texts *Understand the complexities of comprehension assessment *Get optimal benefits from instructional technologies *And much more!

Conceptual Model-Based Problem Solving
Conceptual Model-Based Problem Solving

Author: Yan Ping Xin

Publisher: Springer Science & Business Media

Published: 2013-02-11

Total Pages: 267

ISBN-13: 9462091048

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Are you having trouble in finding Tier II intervention materials for elementary students who are struggling in math? Are you hungry for effective instructional strategies that will address students’ conceptual gap in additive and multiplicative math problem solving? Are you searching for a powerful and generalizable problem solving approach that will help those who are left behind in meeting the Common Core State Standards for Mathematics (CCSSM)? If so, this book is the answer for you. • The conceptual model-based problem solving (COMPS) program emphasizes mathematical modeling and algebraic representation of mathematical relations in equations, which are in line with the new Common Core. • “Through building most fundamental concepts pertinent to additive and multiplicative reasoning and making the connection between concrete and abstract modeling, students were prepared to go above and beyond concrete level of operation and be able to use mathematical models to solve more complex real-world problems. As the connection is made between the concrete model (or students’ existing knowledge scheme) and the symbolic mathematical algorithm, the abstract mathematical models are no longer “alien” to the students.” As Ms. Karen Combs, Director of Elementary Education of Lafayette School Corporation in Indiana, testified: “It really worked with our kids!” • “One hallmark of mathematical understanding is the ability to justify,... why a particular mathematical statement is true or where a mathematical rule comes from” (http://illustrativemathematics.org/standards). Through making connections between mathematical ideas, the COMPS program makes explicit the reasoning behind math, which has the potential to promote a powerful transfer of knowledge by applying the learned conception to solve other problems in new contexts. • Dr. Yan Ping Xin’s book contains essential tools for teachers to help students with learning disabilities or difficulties close the gap in mathematics word problem solving. I have witnessed many struggling students use these strategies to solve word problems and gain confidence as learners of mathematics. This book is a valuable resource for general and special education teachers of mathematics. - Casey Hord, PhD, University of Cincinnati