Problem Solving & Comprehension

Problem Solving & Comprehension PDF

Author: Arthur Whimbey

Publisher: Routledge

Published: 2013-06-26

Total Pages: 441

ISBN-13: 1136475222

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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.

Fostering Comprehension in English Classes

Fostering Comprehension in English Classes PDF

Author: Raymond Philippot

Publisher: Guilford Press

Published: 2009-01-01

Total Pages: 241

ISBN-13: 1593858841

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This valuable, research-based guide gives middle and secondary English teachers the tools they need to improve the comprehension skills of all their students. Core chapters explain specific practices for fostering learning from texts; leading students to a thorough, lasting understanding of subject matter; nurturing meaningful responses to literature; explicitly teaching comprehension strategies; and engaging students in higher-order thinking. An additional chapter highlights vocabulary instruction. Throughout, attention is given to building comprehension skills in a diverse range of students, from high achievers to struggling readers and English language learners. A wealth of hands-on materials are featured, including lesson plans, scaffolded reading experiences, and a richly detailed example of a teaching unit that shows how all facets of comprehension instruction can be brought together in the classroom.

Understanding by Design

Understanding by Design PDF

Author: Grant P. Wiggins

Publisher: ASCD

Published: 2005

Total Pages: 383

ISBN-13: 1416600353

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What is understanding and how does it differ from knowledge? How can we determine the big ideas worth understanding? Why is understanding an important teaching goal, and how do we know when students have attained it? How can we create a rigorous and engaging curriculum that focuses on understanding and leads to improved student performance in today's high-stakes, standards-based environment? Authors Grant Wiggins and Jay McTighe answer these and many other questions in this second edition of Understanding by Design. Drawing on feedback from thousands of educators around the world who have used the UbD framework since its introduction in 1998, the authors have greatly revised and expanded their original work to guide educators across the K-16 spectrum in the design of curriculum, assessment, and instruction. With an improved UbD Template at its core, the book explains the rationale of backward design and explores in greater depth the meaning of such key ideas as essential questions and transfer tasks. Readers will learn why the familiar coverage- and activity-based approaches to curriculum design fall short, and how a focus on the six facets of understanding can enrich student learning. With an expanded array of practical strategies, tools, and examples from all subject areas, the book demonstrates how the research-based principles of Understanding by Design apply to district frameworks as well as to individual units of curriculum. Combining provocative ideas, thoughtful analysis, and tested approaches, this new edition of Understanding by Design offers teacher-designers a clear path to the creation of curriculum that ensures better learning and a more stimulating experience for students and teachers alike.

Mathematize It! [Grades K-2]

Mathematize It! [Grades K-2] PDF

Author: Kimberly Morrow-Leong

Publisher: Corwin Press

Published: 2020-04-23

Total Pages: 184

ISBN-13: 1071811371

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"This book is a must-have for anyone who has faced the challenge of teaching problem solving. The ideas to be learned are supported with a noticeably rich collection of classroom-ready problems, examples of student thinking, and videos. Problem solving is at the center of learning and doing mathematics. And so, Mathematize It! should be at the center of every teacher’s collection of instructional resources." John SanGiovanni Coordinator, Elementary Mathematics Howard County Public School System, Ellicott City, MD Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades K-2 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades K-2 · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for addition and subtraction of whole numbers as well as early thinking for multiplication and division · Demonstrates the use of concrete manipulatives to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!

Problem Solving and Comprehension

Problem Solving and Comprehension PDF

Author: Arthur Whimbey

Publisher: Lawrence Erlbaum Assoc Incorporated

Published: 1999

Total Pages: 38

ISBN-13: 9780805836769

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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.