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Written by two of the world's foremost authorities on mental calculation, The Mental Calculator's Handbook is essential reading for aspiring calculating prodigies. From multiplying fractions to extracting square roots, all the techniques are presented and explained in a clear and rigorous way.
No author has gone as far as Doerfler in covering methods of mental calculation beyond simple arithmetic. Even if you have no interest in competing with computers you'll learn a great deal about number theory and the art of efficient computer programming. —Martin Gardner
How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.
These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.
64 new traditional Holmes adventures in three simultaneously published volumes In 2018, MX Publishing presented Parts XI and XII of this acclaimed and ongoing series, Some Untold Cases. Now that theme is revisited with 64 new Sherlock Holmes adventures that explore those many tantalizing references to some of Holmes's other cases, as mentioned in The Canon. "Somewhere in the vaults of the bank of Cox and Co., at Charing Cross, there is a travel-worn and battered tin dispatch box with my name, John H. Watson, M.D., Late Indian Army, painted upon the lid. It is crammed with papers, nearly all of which are records of cases to illustrate the curious problems which Mr. Sherlock Holmes had at various times to examine . . . ." - Dr. John H. Watson So wrote Dr. Watson in "The Problem of Thor Bridge" - and ever since, Sherlockians have been seeking to know more about these tales from the legendary tin dispatch box. While Watson's original Literary Agent only edited the pitifully few sixty stories that make up the original Canon, there have since been literally thousands of traditional adventures about the true Sherlock Holmes - and yet there will never be enough! Throughout the original Holmes Canon, there were hints and teases of other intriguing cases - The Giant Rat of Sumatra . . . The Abernetty Tragedy . . . The Manor House Case. Watson mentions well over one-hundred of these, which have collectively come to be known as The Untold Cases. Now, once again MX Publishing brings us sixty-four of these adventures in three simultaneously published volumes, with all royalties going to support the Stepping Stones School at Undershaw, one of Sir Arthur Conan Doyle's former homes. Join us as we return to Baker Street and discover more authentic adventures of Sherlock Holmes, described by the estimable Dr. Watson as "the best and wisest . . . whom I have ever known." Each volume contains forwards by Otto Penzler, Roger Johnson, Stepping Stones School, Steve Emecz, and David Marcum, as well as stories by the following contributors: Will Murray (2 stories), Tim Gambrell (2 stories), Craig Janacek, I.A. Watson, Jane Rubino, Paul Hiscock, Hugh Ashton, Mike Chinn, Shane Simmons, Dacre Stoker and Leverett Butts, David Marcum, Matthew J. Elliott, Paul D. Gilbert, Tracy J. Revels, Margaret Walsh, Arthur Hall, Barry Clay, Steven Philip Jones, Jan van Koningsveld, and Marcia Wilson, and a poem by John Linwood Grant
Examines the psychological roots of the ability to perform feats of mathematical calculation and discusses the methods used by gifted individuals for mental calculating
Title I of the Improving America's Schools Act (IASA) of 1994 provides funds for schools with large concentrations of children from low-income families. A fundamental requirement is that children served by Title I funds must be educated according to the same academic standards as all other students. This handbook focuses on methods for developing performance standards in the aligned system of standards and assessments required by IASA Title I. The handbook aims to capture the best of current practice, without relying solely on the published literature, by drawing on the experiences of educators and recent research. The first section (chapters 1-4) defines performance standards in the context of an aligned education system and provides advice for developing a system of performance standards. Chapters introduce the idea of performance standards as a system, provide background about Title I legislation, and define terms related to performance standards. The second section (chapters 5-8) contains several state stories about initiating and developing performance standards and standards-based assessment programs. Chapters focus on Colorado, Maryland, Oregon, and Wyoming. The third section (chapters 9-10) contains the work of nationally recognized researchers in the field of assessment. Chapter 9, "Creating Descriptions of Desired Student Achievement When Setting Performance Standards" by Craig N. Mills and Richard M. Jaeger, describes a method for developing performance standards. Chapter 10, "Setting Performance Standards on Achievement Tests: Meeting the Requirements of Title I" by Ronald K. Hambleton, synthesizes research related to cutting scores. Most chapters contain references. Four appendixes present the instruments. (Contains 16 figures and 4 tables.) (SLD)
