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Author: Terence Tao
Publisher: OUP Oxford
Published: 2006-07-28
Total Pages: 116
ISBN-13: 0191568694
DOWNLOAD EBOOK →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.
Author: Arthur Engel
Publisher: Springer Science & Business Media
Published: 2008-01-19
Total Pages: 404
ISBN-13: 0387226419
DOWNLOAD EBOOK →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: Wayne A. Wickelgren
Publisher: W.H. Freeman
Published: 1974-01-01
Total Pages: 262
ISBN-13: 9780716708452
DOWNLOAD EBOOK →Examples help explain the seven basic mathematical problem-solving methods, including inference, classification of action sequences, working backward, and contradiction
Author: Wayne A. Wickelgren
Publisher: Courier Corporation
Published: 2012-04-19
Total Pages: 288
ISBN-13: 0486152685
DOWNLOAD EBOOK →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.
Author: Paul Zeitz
Publisher: John Wiley & Sons
Published: 2017
Total Pages: 389
ISBN-13: 1119239907
DOWNLOAD EBOOK →This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.
Author: David Linker
Publisher: World Scientific
Published: 2016-02-25
Total Pages: 196
ISBN-13: 981473005X
DOWNLOAD EBOOK →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.
Author: Loren C. Larson
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 322
ISBN-13: 1461254981
DOWNLOAD EBOOK →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: George Polya
Publisher: Courier Corporation
Published: 2013-04-09
Total Pages: 80
ISBN-13: 048631832X
DOWNLOAD EBOOK →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: Robert Kaplinsky
Publisher: Taylor & Francis
Published: 2023-10-10
Total Pages: 193
ISBN-13: 1003839886
DOWNLOAD EBOOK →This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.
Author: Peter Liljedahl
Publisher: Springer
Published: 2019-02-12
Total Pages: 362
ISBN-13: 3030104729
DOWNLOAD EBOOK →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.
