Solving Mathematical Problems

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.

Author: Terence Tao

Publisher: OUP Oxford

ISBN: 9780191568695

Category: Mathematics

Page: 116

View: 367

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.
Categories: Mathematics

Problem Solving Strategies

Problem Solving Strategies

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

Author: Arthur Engel

Publisher: Springer Science & Business Media

ISBN: 9780387226415

Category: Mathematics

Page: 403

View: 922

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.
Categories: Mathematics

Methods for Solving Mathematical Physics Problems

Methods for Solving Mathematical Physics Problems

The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case.

Author: V. I. Agoshkov

Publisher: Cambridge Int Science Publishing

ISBN: 9781904602057

Category: Science

Page: 320

View: 559

The book examines the classic and generally accepted methods for solving mathematical physics problems (method of the potential theory, the eigenfunction method, integral transformation methods, discretisation characterisation methods, splitting methods). A separate chapter is devoted to methods for solving nonlinear equations. The book offers a large number of examples of how these methods are applied to the solution of specific mathematical physics problems, applied in the areas of science and social activities, such as energy, environmental protection, hydrodynamics, theory of elasticity, etc.
Categories: Science

Problem Solving

Problem Solving

Presents fifty mathematical puzzles and problems, encouraging readers to think analytically about mathematical problems.

Author: Thomas Canavan

Publisher: The Rosen Publishing Group, Inc

ISBN: 9781448866755

Category: Juvenile Nonfiction

Page: 48

View: 848

Presents fifty mathematical puzzles and problems, encouraging readers to think analytically about mathematical problems.
Categories: Juvenile Nonfiction

Posing and Solving Mathematical 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.

Author: Patricio Felmer

Publisher: Springer

ISBN: 331928021X

Category: Education

Page: 402

View: 963

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.
Categories: Education

Solving Applied Mathematical Problems with MATLAB

Solving Applied Mathematical Problems with MATLAB

The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experi

Author:

Publisher: CRC Press

ISBN: 1420082515

Category: Mathematics

Page: 446

View: 515

This textbook presents a variety of applied mathematics topics in science and engineering with an emphasis on problem solving techniques using MATLAB®. The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experience. They explain how to generate code suitable for various applications so that readers can apply the techniques to problems not covered in the book. Examples, figures, and MATLAB scripts enable readers with basic mathematics knowledge to solve various applied math problems in their fields while avoiding unnecessary technical details.
Categories: Mathematics

Youngsters Solving Mathematical Problems with Technology

Youngsters Solving Mathematical Problems with Technology

Abstract Given that solving mathematical problems entails developing ways of
thinking and expressing thoughts about challenging situations where a
mathematical approach is appropriate, this chapter unveils a theoretical
framework that ...

Author: Susana Carreira

Publisher: Springer

ISBN: 9783319249100

Category: Education

Page: 255

View: 514

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.
Categories: Education

How to Solve Mathematical Problems

How to Solve Mathematical Problems

the time (and think today) that my theoretical (mathematical) understanding of
problems and problem solving was immeasurably increased and that this greatly
enhanced my ability to solve all kinds of mathematical problems. Shortly after ...

Author: Wayne A. Wickelgren

Publisher: Courier Corporation

ISBN: 9780486152684

Category: Science

Page: 288

View: 394

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.
Categories: Science

Solving Problems in Mathematical Analysis Part I

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.

Author: Tomasz Radożycki

Publisher: Springer Nature

ISBN: 9783030358440

Category:

Page:

View: 222

Categories:

Mathematical Problem Solving Tests

Mathematical Problem Solving Tests

Measures student's approach to solving mathematical problems. student writes down entire solution to problems, including those that do not work. each problem is followed by questions about student's approach to the problem.

Author: Alan H. Schoenfeld

Publisher:

ISBN: OCLC:1130980929

Category: Mathematics

Page:

View: 818

Measures student's approach to solving mathematical problems. student writes down entire solution to problems, including those that do not work. each problem is followed by questions about student's approach to the problem.
Categories: Mathematics

Understanding Mathematics Through Problem Solving

Understanding Mathematics Through Problem Solving

This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership.

Author: Posamentier Alfred S

Publisher: World Scientific

ISBN: 9789814663694

Category: Mathematics

Page: 532

View: 740

This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership. Problems will be selected largely for the unusual and unexpected solutions to which they lend themselves. Some interesting contents included: All in all, the book is meant to entertain the general readership and to convince them about the power and beauty of mathematics.
Categories: Mathematics

Making Mathematics Practical

Making Mathematics Practical

This book includes a set of scheme of work, lesson plans and a choice of mathematics problems that teachers can actually use in teaching problem solving. Certain pedagogical considerations are developed and suggested in this book.

Author: Tin Lam Toh

Publisher: World Scientific

ISBN: 9789814355001

Category: Mathematics

Page: 155

View: 868

This book is the first of its kind, as it includes both mathematics content and pedagogy. It is a professional instructional manual on how mathematical problem solving curriculum can be implemented in the classrooms. The book develops from the theoretical work of Polya and Schoenfeld, and explicates how these can be translated to the actual implementation in schools. It represents the work of a group of researchers from the Singapore National Institute of Education, after experimenting with it in the Singapore school classrooms. This book includes a set of scheme of work, lesson plans and a choice of mathematics problems that teachers can actually use in teaching problem solving. Certain pedagogical considerations are developed and suggested in this book. In addition, the book includes an assessment framework on how mathematical problem solving can be assessed.
Categories: Mathematics

The Hard Mathematical Olympiad Problems and Their Solutions

The Hard Mathematical Olympiad Problems and Their Solutions

The approaches in the book build understanding and not just methods in solving problems. This book is a must read for many math students and is useful for many teachers around the world.

Author: Steve Dinh

Publisher:

ISBN: 1463444907

Category: Mathematics

Page: 320

View: 592

This book shows the approaches to solving many difficult Mathematical Olympiad and other international problems posted at the www.mathlinks.ro, the largest mathematical webpage that has most of the problems used to select the talented students of the world. At the time of this book's publication, the solutions to many of these problems are not yet available. This book is not only as much about methods of solving mathematical problems as it is about various approaches to solving the difficult problems in general. It is a first step in examining the creativity that goes into problem-solving. The real points of the book are the enumeration of problem-solving strategies and the tricks applied to solve the problems. The approaches in the book build understanding and not just methods in solving problems. This book is a must read for many math students and is useful for many teachers around the world.
Categories: Mathematics

Affect and Mathematical Problem Solving

Affect and Mathematical Problem Solving

The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving.

Author: Douglas B. McLeod

Publisher: Springer Science & Business Media

ISBN: 9781461236146

Category: Mathematics

Page: 268

View: 568

Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.
Categories: Mathematics

The Stanford Mathematics Problem Book

The Stanford Mathematics Problem Book

Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

Author: George Pólya

Publisher: Courier Corporation

ISBN: 9780486469249

Category: Mathematics

Page: 68

View: 825

Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.
Categories: Mathematics

Teaching and Learning Mathematical Problem Solving

Teaching and Learning Mathematical Problem Solving

A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study.

Author: Edward A. Silver

Publisher: Routledge

ISBN: 9781136561238

Category: Education

Page: 484

View: 463

A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.
Categories: Education

Maths Olympiad Contest Problems

Maths Olympiad Contest Problems

Development of such skills enhances understanding, intuition and glexible thinking which increases the enjoyment, thrill and satisfaction of solving mathematical challenges.

Author: Australasian Problem Solving Mathematical Olympiads (APSMO) Inc.

Publisher:

ISBN: 0975731637

Category: Australian Mathematical Olympiad

Page:

View: 476

Categories: Australian Mathematical Olympiad

The Red Book of Mathematical Problems

The Red Book of Mathematical Problems

Problems suggested by a variety of sources: Crux Mathematicorum, Mathematics Magazine, The American Mathematical Monthly and others. Preface to the First Edition. Sources. 1988 edition.

Author: Kenneth S. Williams

Publisher: Courier Corporation

ISBN: 0486694151

Category: Mathematics

Page: 174

View: 362

Handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the William Lowell Putnam and other mathematical competitions. Problems suggested by a variety of sources: Crux Mathematicorum, Mathematics Magazine, The American Mathematical Monthly and others. Preface to the First Edition. Sources. 1988 edition.
Categories: Mathematics

Solving Problems in Geometry

Solving Problems in Geometry

'This book is a useful reference for faculty members involved in contest preparation or teaching Euclidean geometry at the college level.'MAA ReviewsThis new volume of the Mathematical Olympiad Series focuses on the topic of geometry.

Author: Kim Hoo Hang

Publisher: World Scientific Publishing Company

ISBN: 9789814583763

Category:

Page: 356

View: 901

This new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems. This book is suitable for any reader with elementary geometrical knowledge at the lower secondary level. Each chapter includes sufficient scaffolding and is comprehensive enough for the purpose of self-study. Readers who complete the chapters on the basic theorems and techniques would acquire a good foundation in geometry and may attempt to solve many geometrical problems in various mathematical competitions. Meanwhile, experienced contestants in Mathematical Olympiad competitions will find a large collection of problems pitched at competitions at the international level, with opportunities to practise and sharpen their problem-solving skills in geometry. Request Inspection Copy
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