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: OUP Oxford

ISBN: 0199205612

Page: 103

View: 223

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 of14 years and above in pure mathematics.

Mathematical Problem Solving

This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore.

Mathematical Problem Solving

Author: Berinderjeet Kaur

Publisher: World Scientific

ISBN: 9814277207

Page: 278

View: 548

This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book, illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies. The thirteen chapters of the book illustrate how mathematical problems may be crafted and infused in classroom teaching. Several novel pedagogies, such as learning mathematics through productive failure, problem posing and generative activities are presented in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers of mathematics. The book is an invaluable contribution towards the already established field of research of mathematical problem solving. It is also a must read for graduate research students and mathematics educators.

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: 676

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.

What s Your Problem

This book contains material that will help any primary-grade teacher improve the problem-solving section of the mathematics program.

What s Your Problem

Author: Penny Skinner

Publisher: Heinemann

ISBN:

Page: 128

View: 375

This book contains material that will help any primary-grade teacher improve the problem-solving section of the mathematics program.

Methods for Solving Mathematical Physics Problems

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, ...

Methods for Solving Mathematical Physics Problems

Author: V. I. Agoshkov

Publisher: Cambridge Int Science Publishing

ISBN: 1904602053

Page: 320

View: 218

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.

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 ...

How to Solve Mathematical Problems

Author: Wayne A. Wickelgren

Publisher: Courier Corporation

ISBN: 0486152685

Page: 288

View: 406

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.

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: 363

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.

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: 0387226419

Page: 403

View: 201

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.

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: 929

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.

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: 651

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.

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: 943

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.

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

Solving Applied Mathematical Problems with MATLAB

Author:

Publisher: CRC Press

ISBN: 9781420082517

Page: 446

View: 827

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.

Exploring Mathematics

Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics.

Exploring Mathematics

Author: Daniel Grieser

Publisher: Springer

ISBN: 3319903217

Page: 298

View: 559

Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.

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.

The Hard Mathematical Olympiad Problems and Their Solutions

Author: Steve Dinh

Publisher:

ISBN: 9781463444907

Page: 320

View: 505

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.

Problem Solving in Primary Mathematics

This book provides an introduction to methods of mathematical problem solving.

Problem Solving in Primary Mathematics

Author: John Desmond West

Publisher:

ISBN: 9780648190707

Page: 120

View: 267

This book provides an introduction to methods of mathematical problem solving. Each chapter covers a different problem solving strategy. This book contains more than 45 fully worked examples and over 200 problems (with solutions) appropriate for primary school students of a wide range of abilities. It is anticipated that the book will be a valuable resource for teachers, parents or students wishing to develop their mathematical problem solving skills.

Solving Problems in Mathematical Analysis Part II

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 II

Author: Tomasz Radożycki

Publisher: Springer Nature

ISBN: 3030368483

Page: 384

View: 642

This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more. 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.

Leveled Text Dependent Question Stems Mathematics Problem Solving

This book includes a variety of high-interest mathematics texts as well as specific text-dependent questions that are provided at four different levels to meet the needs of all students.

Leveled Text Dependent Question Stems  Mathematics Problem Solving

Author: Lisa M. Sill

Publisher: Teacher Created Materials

ISBN: 1425816444

Page: 160

View: 557

Help boost kindergarten through twelfth grade students' critical-thinking and comprehension skills with Leveled Text-Dependent Question Stems: Mathematics. This book includes a variety of high-interest mathematics texts as well as specific text-dependent questions that are provided at four different levels to meet the needs of all students. With this easy-to-use resource, teachers will learn strategies to effectively guide students in analyzing informational text and mathematical problems to build their comprehension skills and use evidence to justify their responses.

Teaching Mathematics through Problem Solving in K 12 Classrooms

This book shows how problems can be the vehicle for learning mathematics itself, and presents a comprehensive pedagogy based on classroom discourse, assessment, critical and creative thinking.

Teaching Mathematics through Problem Solving in K   12 Classrooms

Author: Matthew Oldridge

Publisher: Rowman & Littlefield

ISBN: 1475843348

Page: 134

View: 489

This book shows how problems can be the vehicle for learning mathematics itself, and presents a comprehensive pedagogy based on classroom discourse, assessment, critical and creative thinking.