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If you are preparing for a teaching career in Massachusetts, passing the Massachusetts Tests for Educator Licensure (MTEL) Communication and Literacy Skills (01) test is an essential part of the certification process. This easy-to-use e-book helps you develop and practice the skills needed to achieve success on the MTEL. It provides a fully updated, comprehensive review of all areas tested on the official Communication and Literacy Skills (01) assessment, helpful information on the Massachusetts teacher certification and licensing process, and the LearningExpress Test Preparation System, with proven techniques for overcoming test anxiety, planning study time, and improving your results.
A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
***Includes Practice Test Questions*** MTEL General Curriculum (03) Exam Secrets helps you ace the Massachusetts Tests for Educator Licensure, without weeks and months of endless studying. Our comprehensive MTEL General Curriculum (03) Exam Secrets study guide is written by our exam experts, who painstakingly researched every topic and concept that you need to know to ace your test. Our original research reveals specific weaknesses that you can exploit to increase your exam score more than you've ever imagined. MTEL General Curriculum (03) Exam Secrets includes: The 5 Secret Keys to MTEL Success: Time is Your Greatest Enemy, Guessing is Not Guesswork, Practice Smarter, Not Harder, Prepare, Don't Procrastinate, Test Yourself; Introduction to the MTEL Series including: MTEL Assessment Explanation, Two Kinds of MTEL Assessments; A comprehensive General Strategy review including: Make Predictions, Answer the Question, Benchmark, Valid Information, Avoid Fact Traps, Milk the Question, The Trap of Familiarity, Eliminate Answers, Tough Questions, Brainstorm, Read Carefully, Face Value, Prefixes, Hedge Phrases, Switchback Words, New Information, Time Management, Contextual Clues, Don't Panic, Pace Yourself, Answer Selection, Check Your Work, Beware of Directly Quoted Answers, Slang, Extreme Statements, Answer Choice Families; Along with a complete, in-depth study guide for your specific MTEL exam, and much more...
Presents basic information about the geography, wildlife, people, history, and customs of the state of Massachusetts.
This book is designed to help you succeed on the Massachusetts Tests for Educator Licensure (MTEL) Middle School Mathematics (47) Exam. It covers all the essential topics to develop a deep understanding of math fundamentals including functions, algebra, geometry, statistics, graphing, trigonometry, calculus, and discrete math. The book contains 800 practice questions, 50 lessons, detailed explanations, quizzes, and comprehensive exams to ensure a complete grasp of all objectives tested on the exam. Please visit www.prepforward.com for more information on this book, to contact the author, or to find out about online, interactive, self-paced review courses for the MTEL 47 and other MTEL exams.