Problem-Solving Strategies
- © 1998
- Arthur Engel 0
Institut für Didaktik der Mathematik, Johann Wolfgang Goethe-Universität Frankfurt am Main, Frankfurt am Main 11, Germany
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- The most complete training book on the market
- A must-have for instructors wishing to enrich their teaching with interesting non-routine problems
- Provides individuals with a wide array of interesting, challenging problems
- Each chapter starts with typical examples illustrating the central concepts, followed by carefully selected problems and their solutions
- Very few problems have no solutions
Part of the book series: Problem Books in Mathematics (PBM)
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Table of contents (14 chapters)
Front matter, the invariance principle, coloring proofs, the extremal principle, the box principle, enumerative combinatorics, number theory, inequalities, the induction principle, polynomials, functional equations, further strategies, back matter.
- Problem-solving
- mathematics
About this book
Problem-Solving Strategies is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It 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", "problem of the month", and "research problem of the year" to their students, thus bringing a creative atmosphere into their classrooms with continuous discussions of mathematical problems. This volume is a must-have for instructors wishing to enrich their teaching with some interesting non -routine problems and for individuals who are just 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. Very few problems have no solutions. Readers interested in increasing the effectiveness of the book can do so by working on the examples in addition to the problems thereby increasing the number of problems to over 1300. In addition to being a valuable resource of mathematical problems and solution strategies, this volume is the most complete training book on the market.
Authors and Affiliations
Arthur Engel
About the author
Bibliographic information.
Book Title : Problem-Solving Strategies
Authors : Arthur Engel
Series Title : Problem Books in Mathematics
DOI : https://doi.org/10.1007/b97682
Publisher : Springer New York, NY
eBook Packages : Springer Book Archive
Copyright Information : Springer-Verlag New York 1998
Softcover ISBN : 978-0-387-98219-9 Published: 12 December 1997
eBook ISBN : 978-0-387-22641-5 Published: 19 January 2008
Series ISSN : 0941-3502
Series E-ISSN : 2197-8506
Edition Number : 1
Number of Pages : X, 403
Topics : Mathematics, general
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Problem-solving strategies for efficient and elegant solutions : a resource for the mathematics teacher
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The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It will appeal to high school teachers conducting a mathematics club who need a range of simple to complex ...
Problem-Solving Strategies With 223 Figures 13 A-PDF Merger DEMO : Purchase from www.A-PDF.com to remove the watermark. Angel Engel Institut f¨ur Didaktik der Mathematik Johann Wolfgang Goethe-Universit¨at Frankfurt am Main Senckenberganlage 9-11 60054 Frankfurt am Main 11 Germany
Problem Solving as the sum of its parts: Creative means having an element of newness and innovation, and relevance. Problem encompasses any situation that presents a challenge, offers an opportunity or is a concern. Solving means devising ways to answer, to meet or satisfy the problem. It can also mean adapting yourself to the situation or ...
THE IMPORTANCE OF PROBLEM SOLVING New Views about Thinking and Problem Solving 3 Some Common Approaches to Problems 7 Mental Escapes I 0 The Purpose and Structure of This Book 12 Notes 13 • Suggested Readings 14 PART I A fRAMEWORK FOR USING KNOWLEDGE MORE EFFECTIVELY I 7 CHAPTER 2 A MODEL FOR IMPROVING PROBLEM-SOLVING SKILLS 19 The IDEAL ...
Problem-solving strategies From Problems and Solutions in Introductory Mechanics (Draft version, August 2014) David Morin, [email protected] ... 1If you don't already have the Kindle reading app for your computer, you can download it free from Amazon. 1. 2 CHAPTER 1. PROBLEM-SOLVING STRATEGIES do, you'll quickly realize that it ...
can use problem solving to teach the skills of mathematics, and how prob-lem solving should be presented to their students. They must understand that problem solving can be thought of in three different ways: 1. Problem solving is a subject for study in and of itself. 2. Problem solving is an approach to a particular problem. 3.
STRATEGIES FOR SOLVING PROBLEMS problem is in fact solvable), so you can go searching for it. It might be a conservation law, or an F = ma equation, etc. 3. Solve things symbolically. If you are solving a problem where the given quantities are specifled numerically, you should immediately change the numbers to letters and solve the problem in ...
Download book PDF. Problem-Solving Strategies Download book PDF. Overview Authors: Arthur Engel 0; Arthur Engel ... Free shipping worldwide - see info; ... Problem-Solving Strategies is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. The discussion ...
Problem Solving Strategies- Arthur Engel - Free ebook download as PDF File (.pdf) or read book online for free. Scribd is the world's largest social reading and publishing site.
Step 4: Thinking up Solutions. The biggest mistake that we tend to make when thinking up solutions for our problems is to think about the same old solutions. But if those old solutions worked, the problem would not still be around. In order to come up with new solutions, you can follow the rules of brainstorming: 1.
2. To help students better understand problem-solving strategies and to increase their repertoire of and use of problem-solving strategies. This includes: a. Learning about low-road (essentially, rote memory) and high-road transfer of learning, especially as they apply to problem solving. b.
Step 4: Check the Solution. After working through the plan and coming up with a solution, it is important to see first of all if the solution makes sense. Then, if it seems to be reasonable, check to be sure that it is accurate. In other words, do a quick estimate first, and then check to be sure the answer is exact.
Problem-Solving strategies 1-6 Strategies 1. guess and Test 2. Draw a Picture 3. Use a variable 4. look for a Pattern 5. make a list 6. Solve a Simpler Problem Because problem solving is the main goal of mathematics, this chapter introduces the six strategies listed in the Problem-Solving Strategies box that are helpful in solving problems.
This handbook, Problem-solving Skills, focuses on how the personnel in the public administration can develop approaches and strategies that will enable them to effectively solve problems in a variety of contexts. ffTABLE OF CONTENTS Page No 1. Introduction 1 2. Causes of Poor Problem-Solving 5 3.
rational problem-solving strategies and (b) using a structured approach will lead to a better solution. The value of formal structured approaches to problem solving varies depending on the type of problem. The more unstructured and complex the problem, the more helpful it is to the team to use a structured approach to solve it (Van Gundy, 1981).
Problem-Solving Approach to Strategy Design and Implementation. The problem-solving approach to designing and implementing a strategy includes eight steps (see. Figure A): 1. Identify the Problem. 2. Analyze the Problem and Diagnose Its Causes. 3. Develop a Theory of Action.
Here's the approach: Step 1: Diagnose the situation and identify the root cause of the problem. 1A List all the potential root causes of the problem. 1B Develop a hypothesis for the likely root cause. 1C Determine the analyses and information required to test the hypothesis. 1D Analyze and identify the root cause.
The Problem solver is a carefully sequenced, step-by-step program designed to help students become competent and confident problem solvers, using an easy-to-learn, four-step method combined with ten useful problem-solving strategies, each with its own symbol
Problem-solving strategies for efficient and elegant solutions : a resource for the mathematics teacher ... Pdf_module_version 0.0.20 Ppi 300 Rcs_key 24143 Republisher_date 20201029154258 ... DOWNLOAD OPTIONS No suitable files to display here. PDF access not available for this item.