Author: Steven P. Meiring
Publisher:
Published: 1981
Total Pages: 88
ISBN-13:
DOWNLOAD EBOOK →Designed as an in-service tool for teachers, introducing techniques and materials to improve student problem.solving abilities and suggestions for improved curriculum and instruction organisation.
Author: Sanjoy Mahajan
Publisher: MIT Press
Published: 2010-03-05
Total Pages: 152
ISBN-13: 0262265591
DOWNLOAD EBOOK →An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
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: 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: Wisconsin. Department of Public Instruction
Publisher:
Published: 1981
Total Pages: 68
ISBN-13:
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