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: Oxford University Press on Demand

ISBN: 0199205604

Category: Mathematics

Page: 103

View: 353

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.

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

Author: Martin J. Erickson

Publisher: Pearson College Division

ISBN: 013096445X

Category: Mathematics

Page: 252

View: 870

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.

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.

Author: Berinderjeet Kaur

Publisher: World Scientific

ISBN: 9789814467612

Category: Education

Page: 288

View: 229

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 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.

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

Author: Alexander Soifer

Publisher: Springer Science & Business Media

ISBN: 9780387746470

Category: Mathematics

Page: 106

View: 684

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.

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.

Author: Richard M. Beekman

Publisher: Lulu.com

ISBN: 9781329428904

Category:

Page: 266

View: 940

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.

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: 561

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.

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

Author: Peter Liljedahl

Publisher: Springer

ISBN: 9783030104726

Category: Education

Page: 362

View: 998

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.

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

Author: David Linker

Publisher: World Scientific

ISBN: 9789814730051

Category: Mathematics

Page: 196

View: 941

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.

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: 685

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.

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: 9783319280233

Category: Education

Page: 402

View: 890

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.

Problem solving is the most important goal of the mathematics curricula, the focus of the five National Council of Teachers of Mathematics (NCTM) standards, and a key component of high-stakes tests. Ten high-impact lessons on solving words problems begin each book, giving students ample practice with the kinds of questions that appear regularly on standardized tests. Worked-out examples lead students step by step to the solution, providing crucial modeling of the correct thinking process. Examples are followed by practice exercises in the standardized test formats of multiple choice, open response, and grid-in response. These Coach books provide comprehensive, in-depth instruction and practice, helping students succeed in the challenging field of problem solving.

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.

Author: Susana Carreira

Publisher: Springer

ISBN: 9783319249100

Category: Education

Page: 255

View: 357

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.

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: Mathematics

Page: 369

View: 526

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.

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: 9783030368487

Category: Mathematics

Page: 384

View: 804

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.

Author: Consortium for Foundation MathematicsPublish On: 2003-05

This text is based on standards in the AMATYC Crossroads document. The first in a three-book series, this text presents mathematical concepts and skills through relevant activities derived from real-life situations.

Author: Consortium for Foundation Mathematics

Publisher: Addison-Wesley

ISBN: 0201785854

Category: Mathematics

Page: 649

View: 518

This text is based on standards in the AMATYC Crossroads document. The first in a three-book series, this text presents mathematical concepts and skills through relevant activities derived from real-life situations. These activities are meaningful because they illustrate how mathematics arises naturally from real-world situations and problems. Prealgebra Problem Solving is based on the assumption that you learn mathematics best by deriving concepts themselves in a meaningful context. Therefore, the text takes a collaborative approach to learning. Take an active role in your own learning by working in groups, thereby developing communication skills, a sense of independence, and a "can-do" attitude about mathematics. Technology is integrated throughout the book as appropriate so that you learn to interpret real-life data numerically and symbolically. Though the book is driven by the activities, there is a significant amount of practice of skill-based content through the many "Skills Checks," "What Have I Learned?" and "How Can I Practice?" exercises.