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Do word problems and math vocabulary confuse students in your mathematics classes? Do simple keywords like "value" and "portion" seem to mislead them? Many words that students already know can have a different meaning in mathematics. To grasp that difference, students need to connect English literacy skills to math. Successful students speak, read, write, and listen to each other so they can understand, retain, and apply mathematics concepts. This book explains how to use 10 classroom-ready literacy strategies in concert with your mathematics instruction. You’ll learn how to develop students who are able to explain to themselves - and communicate to others - what problems mean and how to attack them. Embedding these strategies in your instruction will help your students gain the literacy skills required to achieve the eight Common Core State Standards for Mathematics. You’ll discover the best answer to their question, "When am I ever going to use this?" The 10 Strategies: 1. Teaching mathematical words explicitly 2. Teaching academic words implicitly 3. Reinforcing reading comprehension skills that apply to mathematics 4. Teaching mathematics with metaphor and gesture 5. Unlocking the meaning of word problems 6. Teaching note-taking skills for mathematics 7. Using language-based formative assessment in mathematics 8. Connecting memorization to meaning in mathematics 9. Incorporating writing-to-learn activities in mathematics 10. Preparing students for algebraic thinking
Many, if not most, American high school students have a difficult time with mathematics. The question becomes why. When comparing the math abilities of incoming foreign-born students with native-born students, one apparent distinct difference was that the foreign-born students were becoming bilingual as they were studying math in school. The foreign-born students had to learn the alphabet to form words in English. Does mathematics have an alphabet, and if it does, how is it used to form mathematical sentences? Is there a correlation between the two because mathematics is considered to be the universal language? The germination of that idea is the rationale for this effort.
An eyeopening look at how teachers can use literacy strategies to help students better understand mathematics.
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.
This book is meant to be a supplement to a more detailed statistics textbook, such as that recommended for a statistics course in the social sciences. Also, as a reference book to refresh your memory about statistical concepts.
The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.
What is mathematics? How are things done in mathematics? What is the meaning of words or terms used in mathematics? What is the real meaning of Equations as we see them in mathematics? There are things a student is supposed to know or understand first about mathematics before he or she can understand usual mathematics. It is lack of knowledge of these certain 'things' that usually makes the subject difficult to understand - for many students. Unknowingly, students usually move into mathematics without first hearing what mathematics is about, its origins, how things are done in the subject, why alphabets are used in mathematics and their meaning, the meaning of words in mathematics and the real meaning of equations in mathematics explained in plain English Language. Lack of knowledge of these and more surely makes the subject to be like an unknown ground for many students. Students without the basic foundation information on mathematics try and try to understand what they see done in books and in the classroom. This book provides an end to all that. Mathematics is a simple straightforward subject if the basic foundation information about the subject are known, including information on how things are done in the subject and the meaning of everything you see in the subject. All these are explained in simple English Language in this book. After reading this book thoroughly, a student would find things in usual mathematics textbooks and what mathematics teachers say or do in a math class to be plain and understandable. The book is planned to bring a student thoroughly into regular school mathematics.It is written for: (1) New High school (secondary school) students, so as to find mathematics easy from the start.(2) Students who are finding mathematics difficult, so as to trace their way into mathematics and start to find the subject easy.(3) And for whoever wishes to know what mathematics is about, meaning of things in mathematics, and how things are done in mathematics.
Calculus is the basis of all advanced science and math. But it can be very intimidating, especially if you're learning it for the first time! If finding derivatives or understanding integrals has you stumped, this book can guide you through it. This indispensable resource offers hundreds of practice exercises and covers all the key concepts of calculus, including: Limits of a function Derivatives of a function Monomials and polynomials Calculating maxima and minima Logarithmic differentials Integrals Finding the volume of irregularly shaped objects By breaking down challenging concepts and presenting clear explanations, you'll solidify your knowledge base--and face calculus without fear!
Plain English for Doctors shows how to write about medical science in a clear and vivid way. It can help a medical writer at any level, from beginner to veteran, since it gives specific, practical advice. Writing in plain English can help your writing reach a wider audience, including people in other specialties, levels of training, other fields, and other countries around the world. What makes medical writing hard to read? Is it complex science or complex grammar? This book shows how to keep good science but avoid complex grammar. It describes the symptoms of medicus incomprehensibilis, those over-used writing habits that tend to make medical writing hard to read. It shows how to treat each symptom using a proven plain English writing tip. Each tip is easy to apply and comes with exercises. The exercises are based on excerpts from articles published in leading medical journals. Model revisions vastly improve reading ease and grade level. The book looks at medical writing from three angles. Concept 1, Take charge of your reading ease score, shows how to manage reading ease. Concept 2, Write vividly, shows how to write more vividly by focusing on real world objects and actions. Concept 3, Present logical reasoning clearly, gives tips on how to choose a clear narrative pathway and forge a strong chain of logical reasoning. This book is a must for anyone who writes about medical science. The ability to express complex ideas in simple language is not a remedial skill. Rather, it can only be seen as a sign of mastery.