Solving Mathematical Problems

With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.

Solving Mathematical Problems

Author: Terence Tao

Publisher: Oxford University Press on Demand

ISBN: 9780199205608

Page: 103

View: 735

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.

How to Solve Mathematical Problems

Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation.

How to Solve Mathematical Problems

Author: Wayne A. Wickelgren

Publisher: Courier Corporation

ISBN: 0486152685

Page: 288

View: 298

Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.

Mathematical Problem Solving

This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives.

Mathematical Problem Solving

Author: Peter Liljedahl

Publisher: Springer

ISBN: 9783030104719

Page: 362

View: 602

This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

Problem Solving in Mathematics Education

This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem ...

Problem Solving in Mathematics Education

Author: Peter Liljedahl

Publisher: Springer

ISBN: 9783319407296

Page: 39

View: 777

This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.

Mathematics as Problem Solving

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving.

Mathematics as Problem Solving

Author: Alexander Soifer

Publisher: Springer Science & Business Media

ISBN: 0387746463

Page: 106

View: 898

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.

Problem Solving Strategies

Equally, this is a must-have for individuals interested in solving difficult and challenging problems.

Problem Solving Strategies

Author: Arthur Engel

Publisher: Springer Science & Business Media

ISBN: 0387982191

Page: 403

View: 229

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.

Mathematics Problem Solving Challenges for Secondary School Students and Beyond

This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world.

Mathematics Problem Solving Challenges for Secondary School Students and Beyond

Author: David Linker

Publisher: World Scientific

ISBN: 981473005X

Page: 196

View: 246

This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels. Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond. Contents:Arithmetic and LogicAlgebraGeometryTrigonometryLogarithmsCountingNumber TheoryProbabilityFunctional Equations Readership: High school students, teachers and general public interested in exciting mathematics problems.

Posing and Solving Mathematical Problems

The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively. This book collects recent research on posing and solving mathematical problems.

Posing and Solving Mathematical Problems

Author: Patricio Felmer

Publisher: Springer

ISBN: 3319280236

Page: 402

View: 761

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Youngsters Solving Mathematical Problems with Technology

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school.

Youngsters Solving Mathematical Problems with Technology

Author: Susana Carreira

Publisher: Springer

ISBN: 331924910X

Page: 255

View: 259

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the [email protected] project that investigated youngsters’ mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students ́ and teachers ́ perspectives on mathematics learning, especially school compared to beyond-school mathematics.

The Art of Mathematical Problem Solving

Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems.

The Art of Mathematical Problem Solving

Author: Richard M. Beekman

Publisher: Lulu.com

ISBN: 1329428900

Page: 266

View: 790

Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems. Part II contains 35 difficult and challenging mathematics problems with complete solutions. The goal is to teach the reader how to proceed from an initial state of "panic and fear" to finding a beautiful and elegant solution to a problem.

Youngsters Solving Mathematical Problems with Technology

This book investigates problem solving approaches to mathematical problems that youngsters use in the wake of the growing availability of digital technologies, and how these approaches can be effective and productive for their unique needs.

Youngsters Solving Mathematical Problems with Technology

Author: Susana Carreira

Publisher:

ISBN: 9783319249094

Page:

View: 572

This book investigates problem solving approaches to mathematical problems that youngsters use in the wake of the growing availability of digital technologies, and how these approaches can be effective and productive for their unique needs. The empirical research, conducted in the [email protected] project, delves into the many ways in which students can achieve the solution to a mathematical problem and communicate it with the technological tools they have at their disposal, either in their home environment or in their mathematics classroom. The researchers then address the implications for the future study of a broadened perspective on mathematical problem solving with technology. In addition to exploring how technology has changed mathematical problem solving, the book also provides: A well-developed theoretical framework that integrates the use of technology into mathematical problem-solving Insightful analysis of the young participants' methods of mathematical problem solving, in addition to their teachers and families Examples of student solutions, together with the students' explanations of how they achieved their solution Youngsters Solving Mathematical Problems with Technology is an extremely valuable resource for any researcher or educator interested in mat hematics education, technology in education, or the intersection of both.>.

Principles of Mathematical Problem Solving

This book presents the principles and specific problem-solving methods that can be used to solve a variety of mathematical problems.

Principles of Mathematical Problem Solving

Author: Martin J. Erickson

Publisher: Pearson College Division

ISBN: 9780130964458

Page: 252

View: 514

This book presents the principles and specific problem-solving methods that can be used to solve a variety of mathematical problems. The book provides clear examples of various problem-solving methods accompanied by numerous exercises and their solutions. Principles of Mathematical Problem Solving introduces and explains specific problem-solving methods (with examples), and gives a set of exercises and complete solutions for each method. The idea is that by studying the principles and applying them to the exercises, the reader will gain problem-solving ability as well as general mathematical insight. Eventually, the reader should be able to produce results that have "the whole air of intuition." Organized according to specific techniques in separate chapters, techniques include induction and the pigeonhole principle, among others. Arranged in order of increasing difficulty, the book presents a wide variety of problem sets designed to illustrate significant mathematical ideas. Each chapter also includes a moderate amount of the "theory" behind each problem-solving principle it presents. An essential resource for every student of mathematics and every professional who needs to solve mathematical problems.

Practical Use of Mathcad

This comprehensive book illustrates how MathCAD can be used to solve many mathematical tasks, and provides the mathematical background to the MathCAD package.

Practical Use of Mathcad

Author: Hans Benker

Publisher: Springer Science & Business Media

ISBN: 1447105397

Page: 505

View: 986

This comprehensive book illustrates how MathCAD can be used to solve many mathematical tasks, and provides the mathematical background to the MathCAD package. Based on the latest Version 8 Professional for Windows, this book Market: contains many solutions to basic mathematical tasks and is designed to be used as both a reference and tutorial for lecturers and students, as well as a practical manual for engineers, mathematicians and computer scientists.

Solving Mathematical Problems Using Spreadsheets

This book shows how to solve math problems from general math, business math, consumer math, precalculus, calculus, geometry, statistics, and numerical topics using spreadsheets.

Solving Mathematical Problems Using Spreadsheets

Author: Leonard Sperduto

Publisher: CreateSpace

ISBN: 9781440437533

Page: 166

View: 647

This book shows how to solve math problems from general math, business math, consumer math, precalculus, calculus, geometry, statistics, and numerical topics using spreadsheets.

Solving Problems in Mathematical Analysis Part I

Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems.

Solving Problems in Mathematical Analysis  Part I

Author: Tomasz Radożycki

Publisher: Springer

ISBN: 9783030358433

Page: 369

View: 203

This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.

Solving Mathematical Problems

"This book has been produced as part of the study materials for ECT469 Teaching mathematics through a problem solving approach 2, which is one of the units offered by the Faculty of Education in Deakin University's Open Campus Program"--T.p ...

Solving Mathematical Problems

Author: Terence C. S. Tao

Publisher: Deakin University Press

ISBN: 9780730013655

Page: 87

View: 841

"This book has been produced as part of the study materials for ECT469 Teaching mathematics through a problem solving approach 2, which is one of the units offered by the Faculty of Education in Deakin University's Open Campus Program"--T.p. verso.

Functional Equations and How to Solve Them

Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap.

Functional Equations and How to Solve Them

Author: Christopher G. Small

Publisher: Springer Science & Business Media

ISBN: 9780387345345

Page: 131

View: 238

Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.

Thinking in Problems

This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics.

Thinking in Problems

Author: Alexander A. Roytvarf

Publisher: Springer Science & Business Media

ISBN: 0817684069

Page: 405

View: 311

This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader’s technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader’s convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology. Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis.

How to Solve It

Outlines a method of solving mathematical problems for teachers and students based upon the four steps of understanding the problem, devising a plan, carrying out the plan, and checking the results.

How to Solve It

Author: G. Polya

Publisher: Princeton University Press

ISBN: 069111966X

Page: 253

View: 873

Outlines a method of solving mathematical problems for teachers and students based upon the four steps of understanding the problem, devising a plan, carrying out the plan, and checking the results.