Problem Solving Strategies In Mathematics From Common Approaches To Exemplary Strategies
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Author | : Alfred S Posamentier |
Publisher | : World Scientific Publishing Company |
Total Pages | : 188 |
Release | : 2015-03-05 |
Genre | : Mathematics |
ISBN | : 9814651656 |
This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics. In doing so, first the common approach is shown, and then a more elegant strategy is provided. Elementary mathematics is used so that the reader can focus on the strategy and not be distracted by some more sophisticated mathematics.
Author | : Arthur Engel |
Publisher | : Springer Science & Business Media |
Total Pages | : 404 |
Release | : 2008-01-19 |
Genre | : Mathematics |
ISBN | : 0387226419 |
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.
Author | : Alfred S. Posamentier |
Publisher | : Corwin |
Total Pages | : 288 |
Release | : 2008-03-27 |
Genre | : Education |
ISBN | : |
This updated edition presents ten strategies that are effective tools for teaching students how to solve problems, both in mathematics and in real-life situations. The authors demonstrate how the strategies can be used to solve a wide range of problems and provide about 200 examples that illustrate how teachers can include these techniques in their mathematics curriculum. In many cases, the methods presented make the solution of a problem easier, neater, and more understandable-and thereby more enjoyable. This new edition includes references to current standards, revisions and clarifications throughout the text, and a number of new problems that can be used to teach the different strategies.
Author | : Arthur Engel |
Publisher | : |
Total Pages | : 0 |
Release | : 1998 |
Genre | : Problem solving |
ISBN | : |
Author | : Peter Liljedahl |
Publisher | : Springer |
Total Pages | : 362 |
Release | : 2019-02-12 |
Genre | : Education |
ISBN | : 3030104729 |
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.
Author | : Globe Fearon |
Publisher | : Globe Fearon Company |
Total Pages | : |
Release | : 1999-01-01 |
Genre | : Juvenile Nonfiction |
ISBN | : 9780835915380 |
Author | : Virgadamo Danielle Sauro |
Publisher | : World Scientific |
Total Pages | : 168 |
Release | : 2019-08-21 |
Genre | : Mathematics |
ISBN | : 9811205728 |
The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.
Author | : Alfred S. Posamentier |
Publisher | : Corwin |
Total Pages | : 272 |
Release | : 1998-07-09 |
Genre | : Education |
ISBN | : 9780803966987 |
Foreword by Nobel Laureate Herbert A. Hauptman The authors present ten strategies, illustrated through 200 problems, that you can incorporate into your curriculum to help your students become effective problem solvers.
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.
Author | : Maria Nogin |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 150 |
Release | : 2014-06-24 |
Genre | : Mathematics |
ISBN | : 9781500642228 |
Solving mathematical problems is both a science and an art. It is a science because we need to learn some basic concepts and skills, and use proper terminology when explaining our solution to other people. It is also an art because very often we need to be creative. There are infinitely many types of math problems, and it is impossible to learn how to solve every problem in the world. However, there are a few basic principles that are good to know. There are a few approaches and methods that are often useful. In this book, we discuss the major ones, including various types of proofs, the pigeon hole principle, the principle of mathematical induction, invariants, coloring, etc. In each chapter, we provide basic definitions and facts to get you started. We do not prove most of the well-known facts given in this book, since our main goal is to learn how to solve problems, i.e. use these facts. They are usually proved in other college courses such as abstract algebra, number theory, and analysis. Sometimes, however, the idea of a proof of a theorem can be used for solving many problems. In such cases we provide the proof. The book contains over 300 problems on various topics and detailed solutions of approximately half of them. This book is primarily intended for high school and college students and mathematics teachers. Most chapters are accessible to middle school students as well. It would especially be helpful for those competing in mathematics contests and wishing to improve their problem solving skills. The first edition contained some minor errors which have been fixed in the second edition. More problems were also added.