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Provides over 300 useful lists for developing instructional materials and planning lessons for elementary and secondary students.
Silva (mathematics education, San Jose State U.) provides an expanded framework of understanding for K-6 educators and educational specialists to use when teaching students who are having difficulties learning mathematics.
Unexpected lists that propel your teaching into refreshingly new directions! From lesson planning and assessment strategies to ideas for changing the world, there is something for everybody at every level and age of mathematics – entertaining humor, deeply serious provocations to push you out of the box, and good, clean wholesome tips for creative experiments in classroom organization.
This is the second edition of the bestselling resource for mathematics teachers. This time-saving reference provides over 300 useful lists for developing instructional materials and planning lessons for middle school and secondary students. Some of the lists supply teacher background; others are to copy for student use, and many offer new twists to traditional classroom topics. For quick access and easy use, the lists are numbered consecutively, organized into sections focusing on the different areas of math, and printed in a large 8-1/2" x 11" lay-flat format for easy photocopying. Here's an overview of the ready-to-use lists you'll find in each section: I. NUMBERS: THEORY AND OPERATIONS presents 40 lists including classification of real numbers, types of fractions, types of decimals, rules for various operations, big numbers, and mathematical signs and symbols. II. MEASUREMENT contains over 30 lists including, things that measure, measurement abbreviations, the English and Metric Systems, and U.S. money3⁄4coins and bills. III. GEOMETRY offers more than 50 lists covering topics such as lines and planes, types of polygons, types of quadrilaterals, circles, Pythagorean triples, and formulas for finding area and volume. IV. ALGEBRA gives you over 40 lists including how to express operations algebraically, powers and roots, common factoring formulas, quadratic functions, and types of matrices. V. TRIGONOMETRY AND CALCULUS provides more than 30 lists including the quadrant signs of the functions, reduction formulas, integration rules, and natural logarithmic functions. VI. MATH IN OTHER AREAS offers more than 30 lists that tie math to other content areas, such as descriptive statistics, probability and odds, numbers in popular sports, and some mathematical facts about space. VII. POTPOURRI features 16 lists that explore the various aspects of math including, famous mathematicians through history, world firsts, math and superstition, and the Greek alphabet. VIII. SPECIAL REFERENCE LISTS FOR STUDENTS provides 10 lists of interest to students such as overcoming math anxiety, steps for solving word problems, and math web sites for students. IX. LISTS FOR TEACHERS’ REFERENCE contains 25 lists such as how to manage a cooperative math class, sources of problems-of-the-day, how to have a parents’ math night, and math web sites for teachers. X. REPRODUCIBLE TECHING AIDS contains an assortment of helpful reproducibles including number lines, fraction strips, algebra tiles, and various nets for making 3-D geometric shapes.
This revised and corrected second edition of a classic on special matrices provides researchers in numerical linear algebra and students of general computational mathematics with an essential reference. 1986 edition.
This brief monograph on the gamma function was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the gamma function in a manner he described as both sketchy and overly complicated. Author Emil Artin, one of the twentieth century's leading mathematicians, wrote in his Preface to this book, "I feel that this monograph will help to show that the gamma function can be thought of as one of the elementary functions, and that all of its basic properties can be established using elementary methods of the calculus." Generations of teachers and students have benefitted from Artin's masterly arguments and precise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.
The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.
This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.
An extensive summary of mathematical functions that occur in physical and engineering problems