How to Solve Word Problems in Calculus

How to Solve Word Problems in Calculus
Author: Eugene Don
Publisher: McGraw Hill Professional
Total Pages: 238
Release: 2001-07-21
Genre: Mathematics
ISBN: 0071386807

Considered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines. This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques. How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions. Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems.Each chapter features an introduction to a problem type, definitions, related theorems, and formulas.Topics range from vital pre-calculus review to traditional calculus first-course content.Sample problems with solutions and a 50-problem chapter are ideal for self-testing.Fully explained examples with step-by-step solutions.

How to Solve Word Problems in Calculus

How to Solve Word Problems in Calculus
Author: Eugene Don
Publisher: McGraw-Hill Education
Total Pages: 0
Release: 2001-07-30
Genre: Business & Economics
ISBN: 9780071358972

Considered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines. This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques. How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions. Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems. Each chapter features an introduction to a problem type, definitions, related theorems, and formulas. Topics range from vital pre-calculus review to traditional calculus first-course content. Sample problems with solutions and a 50-problem chapter are ideal for self-testing. Fully explained examples with step-by-step solutions.

Berkeley Problems in Mathematics

Berkeley Problems in Mathematics
Author: Paulo Ney de Souza
Publisher: Springer Science & Business Media
Total Pages: 614
Release: 2004-01-08
Genre: Mathematics
ISBN: 9780387204291

This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.

Math Vitamins

Math Vitamins
Author: Loretta Jean Everhart
Publisher: iUniverse
Total Pages: 164
Release: 2011-08-19
Genre: Education
ISBN: 1462032524

For some students, the mere thought of solving a word problem can transform even the most confident among them into nervous wrecks. In her guidebook, Math Vitamins, retired educator Loretta Jean Everhart shares her methods of success that will help any student from Pre-K to fifth grade effectively solve even the most challenging word problems. Everhart taught elementary students for over thirty years and relies on her diverse experience working with students of all levels to offer useful techniques and step-by-step guidance that will lead parents and teachers through several ways to cope with math anxiety, improve math writing and vocabulary, and use cooperative learning to solve word problems. While providing simple strategies like having children work on jigsaw puzzles to learn guess and test methodologies, Everhart also shares an in-depth exploration of Polya’s four-step model, which helps children first understand the problem and then develop a plan on how to answer it. For the parent of a home-schooled child or for teacher who is searching for new ideas, this innovative guidebook offers practical tips and suggestions that will help lead struggling students out of the often tricky world of word problems and onto a successful path of future problem solving.

Making Sense of Word Problems

Making Sense of Word Problems
Author: Eric de Corte
Publisher: CRC Press
Total Pages: 232
Release: 2000-01-01
Genre: Education
ISBN: 9789026516283

Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.

Problem-Solving Through Problems

Problem-Solving Through Problems
Author: Loren C. Larson
Publisher: Springer Science & Business Media
Total Pages: 322
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461254981

This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Handbook of Research on Mathematics Teaching and Learning

Handbook of Research on Mathematics Teaching and Learning
Author: Douglas Grouws
Publisher: IAP
Total Pages: 784
Release: 2006-11-01
Genre: Mathematics
ISBN: 1607528746

Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.

Teaching and Learning of Calculus

Teaching and Learning of Calculus
Author: David Bressoud
Publisher: Springer
Total Pages: 44
Release: 2016-06-14
Genre: Education
ISBN: 3319329758

This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.