Eye-popping, color-in kaleidoscope designs like Spinning Pinwheels, Dancing Butterflies, and Wandering Stars will inspire every kid to look forward to math time! Each reproducible activity sheet lets kids explore symmetry, and practice important skills in addition, subtraction, multiplication, and division. For use with Grades 2-3.
Kids will get a kick out of solving math problems to create these colorful and amazing kaleidoscope designs. Each activity in this motivating collection starts with a math worksheet that lets kids practice skills in multiplication, division, fractions, or decimals. Then, on an accompanying page, kids use their answers to “color by numbers,” creating intricate and dazzling works of art! For use with Grades 4-6.
The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphasis is on the practical applications of theory in the problem-solving process. The chapters cover a myriad of topics among which are the classic theorems and formulas such as Archimedes' Law of the Lever, the Pythagorean Theorem, Heron's formula, Brahmagupta's formula, Appollonius's Theorem, Euler's line properties, the Nine-Point Circle, Fagnano's Problem, the Steiner-Lehmus Theorem, Napoleon's Theorem, Ceva's Theorem, Menelaus's Theorem, Pompeiu's Theorem, and Morley's Miracle. The book focuses on geometric thinking — what it means, how to develop it, and how to recognize it. 'Geometrical Kaleidoscope' consists of a kaleidoscope of topics that seem to not be related at first glance. However, that perception disappears as you go from chapter to chapter and explore the multitude of surprising relationships, unexpected connections, and links. Readers solving a chain of problems will learn from them general techniques, rather than isolated instances of the application of a technique. In spite of the many problems' challenging character, their solutions require no more than a basic knowledge covered in a high school geometry curriculum. There are plenty of problems for readers to work out for themselves (solutions are provided at the end of the book).In the 2nd edition of the book there are many new ideas and additional explanations that help the reader better understand the solutions of problems and connect the chapters to one another. A new chapter 'Alternative proofs of the Pythagorean Theorem' is added. It covers seven different proofs of the famous theorem and discusses its generalizations and applications. There is also Appendix and Index added, which were missing in the first edition of the book.
This text embodies at advanced and postgraduate level the professional and technical experience of two experienced mathematicians. It covers a wide range of applications relevant in many areas, including actuarial science, communications, engineering, finance, gambling, house purchase, lotteries, management, operational research, pursuit and search.In mathematical studies drawn from algebra, geometry, analysis, statistics and computational methodology, applications are discussed in separate chapters, each prefaced by a summary of content and relevance. Some branches of the mathematics covered might be regarded as old-fashioned but they are still vigorous and relevant today.The material is original, either in content, presentations or both, and includes topics not usually found in other texts. It treats serious mathematics respectfully and, if sometimes light in its touch, maintains the instructive tenor. - Examines a wide range of mathematical applications in many areas, including actuarial science, communications, engineering, finance, gambling, management, operational research, pursuit and search - Includes a chapter of 'mathematical teasers' - Each chapter is prefaced by a summary of its context and relevance
A visual journey to the intersection of math and imagination, guided by an award-winning author Mathematics is right brain work, art left brain, right? Not so. This intriguing book shows how intertwined the disciplines are. Portraying the work of many contemporary artists in media from metals to glass to snow, Fragments of Infinity draws us into the mysteries of one-sided surfaces, four-dimensional spaces, self-similar structures, and other bizarre or seemingly impossible features of modern mathematics as they are given visible expression. Featuring more than 250 beautiful illustrations and photographs of artworks ranging from sculptures both massive and minute to elaborate geometric tapestries and mosaics of startling complexity, this is an enthralling exploration of abstract shapes, space, and time made tangible. Ivars Peterson (Washington, DC) is the mathematics writer and online editor of Science News and the author of The Jungles of Randomness (Wiley: 0-471-16449-6), as well as four previous trade books.
Embrace the diverse spectrum of abilities, interests, and learning styles among students with this powerful series. Each book offers practical, research-based guidance to differentiating instruction in the mathematics classroom. The authors provide: dozens of ready-to-use differentiated tasks (including reproducibles), along with ways to scaffold mathematical learning; strategies for providing and structuring choice within classrooms; guidance in leading large-group discussions when students are completing different activities; and engaging ways to address NCTM's Principles and Standards for School Mathematics and Curriculum Focal Points.
