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Shapes are everywhere, and understanding geometric properties is an essential part of math education. A comprehensive introduction to geometry is told through relatable narratives and real-world situations, teaching readers how to recognize geometry in everyday life. Engaging visuals and age-appropriate content work together to reinforce complex math concepts. Polygons are all around us, and readers will learn how to recognize them and their attributes after reading this exciting narrative. This volume meets CCSS Math Standard 2.G.A.1.
Shapes are everywhere, and understanding geometric properties is an essential part of math education. A comprehensive introduction to geometry is told through relatable narratives and real-world situations, teaching readers how to recognize geometry in everyday life. Engaging visuals and age-appropriate content work together to reinforce complex math concepts. Polygons are all around us, and readers will learn how to recognize them and their attributes after reading this exciting narrative. This volume meets CCSS Math Standard 2.G.A.1.
Geographic data models are digital frameworks that describe the location and characteristics of things in the world around us. With a geographic information system, we can use these models as lenses to see, interpret, and analyze the infinite complexity of our natural and man-made environments. With the geodatabase, a new geographic data model introduced with ArcInfo 8, you can extend significantly the level of detail and range of accuracy with which you can model geographic reality in a database environment.
This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects. The authors believe that through dialogues between students and mathematicians, readers may discover the processes by which the founders of the theories came to their various conclusions―their trials, errors, tribulations, and triumphs. The goal is for readers to refine their mathematical sense of how to find good questions and how to grapple with these problems. Another aim is to provide enjoyment in the process of applying mathematical rules to beautiful art and design by examples that highlight the wonders and mysteries from our daily lives. To fulfill these aims, this book deals with the latest unique and beautiful results in polygons and polyhedra and the dynamism of geometrical research history that can be found around us. The term "intuitive geometry" was coined by Lászlo Fejes Tóth to refer to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book allows people to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity.
Learn how to identify congruent polygons, similar polygons, and lines of symmetry on flags from around the world.
This book is written in a style that uncovers the mathematical theories hidden in our daily lives, using examples of patterns that appear in nature, arts, traditional crafts, as well as mathematical mechanics in architectural techniques. The authors believe that through conversations between students and mathematicians, readers may learn about the methods used by the originators of these theoriestheir trials, errors, and triumphsin reaching their various conclusions. The goal is to help readers refine their mathematical sense in terms of formulating valuable questions and pursuing them. In addition, the book aims to provide enjoyment in the application of mathematical principles to beautiful art and design by using examples that highlight the wonders and mysteries of these works found in our daily lives. To achieve these goals, the book tackles the latest exquisite results on polygons and polyhedra and the dynamic history of geometric research found around us. The term "intuitive geometry" was coined by Lszlo Fejes Tth and refers to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book enables readers to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity. In this second edition, many new results, and elegant proofs on a variety of topics have been added, enhancing the books rich content even further.
Encyclopedia of the World’s Biomes is a unique, five volume reference that provides a global synthesis of biomes, including the latest science. All of the book's chapters follow a common thematic order that spans biodiversity importance, principal anthropogenic stressors and trends, changing climatic conditions, and conservation strategies for maintaining biomes in an increasingly human-dominated world. This work is a one-stop shop that gives users access to up-to-date, informative articles that go deeper in content than any currently available publication. Offers students and researchers a one-stop shop for information currently only available in scattered or non-technical sources Authored and edited by top scientists in the field Concisely written to guide the reader though the topic Includes meaningful illustrations and suggests further reading for those needing more specific information
This important book demonstrates why geography matters in the modern-day world through its examination of 100 moments throughout history that had a significant impact on the study of geography-literally, "writing about the earth." Geography is not simply accounts of the lands of earth and their features; it's about discovering everything there is to know about our planet. This book shows why geography is of critical importance to our world's 21st-century inhabitants through an exploration of the past and present discoveries that have been made about the earth. It pinpoints 100 moments throughout history that had a significant impact on the study of geography and the understanding of our world, including widely accepted maps of the ancient world, writings and discoveries of key thinkers and philosophers, key exploration events and findings during the Age of Discovery, the foundations of important geographic organizations, and new inventions in digital mapping today. The book begins with a clear explanation of geography as a discipline, a framework, and a way of viewing the world, followed by coverage of each of the 100 discoveries and innovations that provides sufficient background and content for readers to understand each topic. The book concludes with a concise synopsis of why it all matters and a look forward to 10 possible future discoveries in the next 50 years of geography. Students will gain a clear sense of what is truly revolutionary about geography, perhaps challenging their preconceived notion of what geography actually is, and grasp how important discoveries revolutionized not only the past but the present day as well.