Algebra Through Problem Solving
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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.
Challenging Problems in Algebra
Author | : Alfred S. Posamentier |
Publisher | : Courier Corporation |
Total Pages | : 296 |
Release | : 2012-05-04 |
Genre | : Mathematics |
ISBN | : 0486131548 |
Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.
Prealgebra Solutions Manual
Author | : Richard Rusczyk |
Publisher | : |
Total Pages | : 224 |
Release | : 2011-08 |
Genre | : Algebra |
ISBN | : 9781934124222 |
Problem Solving Through Recreational Mathematics
Author | : Bonnie Averbach |
Publisher | : Courier Corporation |
Total Pages | : 482 |
Release | : 2012-03-15 |
Genre | : Mathematics |
ISBN | : 0486131742 |
Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.
Linear Algebra Problem Book
Author | : Paul R. Halmos |
Publisher | : American Mathematical Soc. |
Total Pages | : 349 |
Release | : 1995-12-31 |
Genre | : Mathematics |
ISBN | : 1614442126 |
Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.
Approaches to Algebra
Author | : N. Bednarz |
Publisher | : Springer Science & Business Media |
Total Pages | : 342 |
Release | : 2012-12-06 |
Genre | : Education |
ISBN | : 9400917325 |
In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
Powerful Problem Solving
Author | : Max Ray |
Publisher | : Heinemann Educational Books |
Total Pages | : 0 |
Release | : 2013 |
Genre | : Education |
ISBN | : 9780325050904 |
How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray-Riek and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and turn the Practices into activities that teachers can use to foster habits of mind required by the Common Core: communicating ideas and listening to the reflections of others estimating and reasoning to see the "big picture" of a problem organizing information to promote problem solving using modeling and representations to visualize abstract concepts reflecting on, revising, justifying, and extending the work. Powerful Problem Solving shows what's possible when students become active doers rather than passive consumers of mathematics. Max argues that the process of sense-making truly begins when we create questioning, curious classrooms full of students' own thoughts and ideas. By asking "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems. Read a sample chapter.
The Humongous Book of Algebra Problems
Author | : W. Michael Kelley |
Publisher | : Penguin |
Total Pages | : 576 |
Release | : 2008-07 |
Genre | : Mathematics |
ISBN | : 9781592577224 |
Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics.
How to Solve Word Problems in Algebra, 2nd Edition
Author | : Mildred Johnson |
Publisher | : McGraw Hill Professional |
Total Pages | : 209 |
Release | : 1993-01-21 |
Genre | : Mathematics |
ISBN | : 0071368213 |
Solving word problems has never been easier than with Schaum's How to Solve Word Problems in Algebra! This popular study guide shows students easy ways to solve what they struggle with most in algebra: word problems. How to Solve Word Problems in Algebra, Second Edition, is ideal for anyone who wants to master these skills. Completely updated, with contemporary language and examples, features solution methods that are easy to learn and remember, plus a self-test.