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Explores controversies in the history of numbers, especially the so-called negative and ''impossible'' numbers. This book uses history, puzzles, and lively debates to demonstrate how it is possible to devise new artificial systems of mathematical rules. It contends that departures from traditional rules can even be the basis for new applications.
A student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once considered contrived, imaginary, absurd, or just plain wrong. Even today, he writes, not all parts of math correspond to things, relations, or operations that we can actually observe or carry out in everyday life. Negative Math ponders such issues by exploring controversies in the history of numbers, especially the so-called negative and "impossible" numbers. It uses history, puzzles, and lively debates to demonstrate how it is still possible to devise new artificial systems of mathematical rules. In fact, the book contends, departures from traditional rules can even be the basis for new applications. For example, by using an algebra in which minus times minus makes minus, mathematicians can describe curves or trajectories that are not represented by traditional coordinate geometry. Clear and accessible, Negative Math expects from its readers only a passing acquaintance with basic high school algebra. It will prove pleasurable reading not only for those who enjoy popular math, but also for historians, philosophers, and educators. Key Features? Uses history, puzzles, and lively debates to devise new mathematical systems Shows how departures from rules can underlie new practical applications Clear and accessible Requires a background only in basic high school algebra
Positive and negative numbers are addressed in this fun book with rhyming text. Learn all about absolute value, how to compare and order numbers, rational values, and four quadrant graphing, with easy to understand examples and practice exercises. So, hop on the number line and start hopping on your way to learning more about numbers. This book will allow students to recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
Flummoxed by formulas? Queasy about equations? Perturbed by pi? Now you can stop cursing over calculus and start cackling over Math, the newest volume in Bill RobertsonOCOs accurate but amusing Stop Faking It best sellers. As Robertson sees it, too many people view mathematics as a set of rules to be followed, procedures to memorize, and theorems to apply. This book focuses on the reasoning behind the rules, from math basics all the way up to a brief introduction to calculus."
From the author of the runaway bestseller Math Doesn’t Suck, the next step in the math curriculum-- pre-Algebra. Last year, actress and math genius Danica McKellar made waves nationwide, challenging the “math nerd” stereotype—and giving girls the tools to ace tests and homework in her unique just-us-girls style. Now, in Kiss My Math, McKellar empowers a new crop of girls—7th to 9th graders—taking on the next level of mathematics: pre-Algebra. Stepping up not only the math, but also the sass and style, Kiss My Mathwill help math-phobic teenagers everywhere chill outabout math, and finally “get” negative numbers, variables, absolute values, exponents, and more. Each chapter features: " Step-by-step instruction " Time-saving tips and tricks " Illuminating practice problems with detailed solutions " Real-world examples " True stories from Danica’s own life as a student and actress Kiss My Mathalso includes more fun extras--including personality quizzes, reader polls, and real-life testimonials-- ultimately revealing why pre-Algebra is easier, more relevant, and more glamorous than girls think.
An independent book written and self-published by former math teacher and private math tutor Larry Zafran. Students are justified in proclaiming that "math is hard," but there is a specific reason why they feel this way. The author maintains that the struggle can be lessened by following the roadmap presented, but it will take time and effort on the part of the student. Since math is often not properly taught, it is often not properly learned. Anything that hasn't truly been learned, regardless of subject, is "hard." Once the various concepts are more secure, and the student's gaps in understanding have been addressed, math will have been made "a bit easier" as promised by the book's title. However, the book does not imply that learning math is fast, fun, or easy. Most of the book's content is comprised of the roadmap of topics for a student to work through at his/her own pace. Like all paths, it begins at the beginning, in this case starting with a review of basic arithmetic, followed by basic operations, negative numbers, fractions, decimals, percents, and basic probability and statistics. This is the foundation of all math. The space devoted to each topic is proportional to how difficult most students find the topic, as well as how important the topic is in preparation for later math studies. The material is explained conversationally and "in plain English" as promised by the book's subtitle, without talking down to the reader, and without the use of contrived examples or cartoonish illustrations. The book concludes with a chapter on how to effectively study math and improve scores on exams. Like the rest of the book, the chapter takes a unique standpoint on the matter, and offers suggestions which include how to get oneself into the proper mental and emotional mindset for being successful with math.