'How Round is your Circle?' includes chapters on: hard lines; how to draw a straight line; four-bar variations; building the world's first rules; dividing the circle; falling aprat; follow my leader; all approximations are rational; all a matter of balance; and finding some equilibrium.
The book constitutes an elementary course on Plane Euclidean Geometry, pitched at pre-university or at advanced high school level. It is a concise book treating the subject axiomatically, but since it is meant to be a first introduction to the subject, excessive rigour is avoided, making it appealing to a younger audience as well. The aim is to cover the basics of the subject, while keeping the subject lively by means of challenging and interesting exercises. This makes it relevant also for students participating in mathematics circles and in mathematics olympiads. Each section contains several problems, which are not purely drill exercises, but are intended to introduce a sense of "play" in mathematics, and inculcate appreciation of the elegance and beauty of geometric results. There is an abundance of colour pictures illustrating results and their proofs. A section on hints and a further section on detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study.
An exploration of one of the most celebrated and well-known theorems in mathematics By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.
Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in response to questions. In order to automate such assessment, the relevant criteria must be encoded and, in articulating precisely the desired criteria, the teacher needs to think very carefully about the goals of the task. Hence CAA acts as a vehicle to examine assessment and mathematics education in detail and from a fresh perspective. One example is how it is natural for busy teachers to set only those questions that can be marked by hand in a straightforward way, even though the constraints of paper-based formats restrict what they do and why. There are other kinds of questions, such as those with non-unique correct answers, or where assessing the properties requires the marker themselves to undertake a significant computation. It is simply not sensible for a person to set these to large groups of students when marking by hand. However, such questions have their place and value in provoking thought and learning. This book, aimed at teachers in both schools and universities, explores how, in certain cases, different question types can be automatically assessed. Case studies of existing systems have been included to illustrate this in a concrete and practical way.
The New York Times–bestselling author of Stitch ’n Bitch conquers crochet with forty original patterns in her sassy, sexy, signature style—fully illustrated. Stitch ’n Bitch Crochet is chock-full of instruction, inspiration, and to-die-for designs, from lacy, sexy summer tops to chic, cozy sweaters, chunky, funky hats, and colorfully crafty afghans. And, as Debbie Stoller demonstrates with her easy-to-follow instructions, it all starts with the simple act of wrapping a hook around a strand of yarn. Full of color photographs and instructional illustrations, Stitch ’n Bitch Crochet is the perfect primer on knitting’s sister craft—from tools and uses for the different gauges to all the cool yarns available. She also takes you through basic techniques and stitch patterns including the chain stitch, picot, flowers, filet crochet, changing yarns, and finishing. Then come forty fabulous projects for everyone from beginners to experienced crocheters: A pom-pom capelet, a retro clutch purse, an “Anarchy Irony Hat,” an “Orange You Glad Bag,” a “Doris Daymat,” a beach-ready bikini, animal iPod cozies, a kid’s sock monkey afghan, and so much more! These are definitely not your grandma’s doilies.
Eric Marker had a plan for his life, and it sure as hell didn't include any of this. Last year his parents and fiancee were brutally murdered, and all of the evidence points to him. But it couldn't have been him, because Eric saw the people responsible. It will only prove his guilt to most people, but he knows that the only way to prove his innocence is to take off for halfway across the country, running from a series of carefully created lies while he slowly uncovers the biggest one yet.Written with heart attack pacing and a lyrical, machine gun style, Round Full Circle is the kind of thriller, and Matt Webber the kind of writer that grabs you by the throat and shakes you from the opening pages and doesn't let you catch your breath until the final word has been read.Matt Webber lives in Colorado with his wife and son. This is his first novel.
Tools and topics included in 'How Well Does Your Child Read?' are a pre-test to determine a child's learning style; phonics and reading assessments with scoring; grade level guidelines; a National Assessment of reading standards; and frequent reading troubles and their solutions. 'How Well Does Your Child Write?' offers solutions to common writing problems, featuring a skills test, assessment, and scoring for grades Kindergarten through 5; a National Assessment of writing standards; a review and explanation of the components of writing such as outlining, idea flow, formatting, and presentation; and grade level guidelines.