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This book explains the origins of over 1500 mathematical terms used in English.
Explains the orgins of over 1500 mathematical terms used in English. This book concentrates on where those terms come from and what their literal meanings are.
The most comprehensive math root dictionary ever published. Outstanding Academic Title, Choice Do you ever wonder about the origins of mathematical terms such as ergodic, biholomorphic, and strophoid? Here Anthony Lo Bello explains the roots of these and better-known words like asymmetric, gradient, and average. He provides Greek, Latin, and Arabic text in its original form to enhance each explanation. This sophisticated, one-of-a-kind reference for mathematicians and word lovers is based on decades of the author's painstaking research and work. Origins of Mathematical Words supplies definitions for words such as conchoid (a shell-shaped curve derived from the Greek noun for "mussel") and zenith (Arabic for "way overhead"), as well as approximation (from the Latin proximus, meaning "nearest"). These and hundreds of other terms wait to be discovered within the pages of this mathematical and etymological treasure chest.
Provides educators with instructions on applying response-to-intervention (RTI) while teaching and planning curriculum for students with learning disabilities.
What makes mathematics so confusing to students? To succeed in the study of arithmetic, geometry, or algebra, students must learn what is effectively a second language of mathematical terms and symbols. In Literacy Strategies for Improving Mathematics Instruction, Joan M. Kenney and her coauthors describe common ways in which students misinterpret the language of mathematics, and show teachers what they can do to ensure that their students become fluent in that language. The authors synthesize the research on what it takes to decode mathematical text, explain how teachers can use guided discourse and graphic representations to help students develop mathematical literacy skills, offer guidance on using action research to enhance mathematics instruction, and discuss the importance of student-centered learning and concept-building skills in the classroom. Real-life vignettes of student struggles illuminate the profound effect of literacy problems on student achievement in mathematics. This book will help teachers better understand their students' difficulties with mathematics and take the steps necessary to alleviate them. Abundantly researched and filled with helpful strategies and resources, it is an invaluable resource for mathematics teachers at all levels.
An engaging new approach to teaching algebra that takes students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations
Annotation The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems.Jumps right in with the needed vocabulary-gets students thinking like mathematicians from the beginningOffers a large variety of examples and problems with solutions for students to work through on their ownIncludes a collection of exercises without solutions to help instructors prepare assignmentsContains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics.
Authoritative and reliable, this A-Z provides jargon-free definitions for even the most technical mathematical terms. With over 3,000 entries ranging from Achilles paradox to zero matrix, it covers all commonly encountered terms and concepts from pure and applied mathematics and statistics, for example, linear algebra, optimisation, nonlinear equations, and differential equations. In addition, there are entries on major mathematicians and on topics of more general interest, such as fractals, game theory, and chaos. Using graphs, diagrams, and charts to render definitions as comprehensible as possible, entries are clear and accessible. Almost 200 new entries have been added to this edition, including terms such as arrow paradox, nested set, and symbolic logic. Useful appendices follow the A-Z dictionary and include lists of Nobel Prize winners and Fields' medallists, Greek letters, formulae, and tables of inequalities, moments of inertia, Roman numerals, a geometry summary, additional trigonometric values of special angles, and many more. This edition contains recommended web links, which are accessible and kept up to date via the Dictionary of Mathematics companion website. Fully revised and updated in line with curriculum and degree requirements, this dictionary is indispensable for students and teachers of mathematics, and for anyone encountering mathematics in the workplace.
When Kate L. Turabian first put her famous guidelines to paper, she could hardly have imagined the world in which today’s students would be conducting research. Yet while the ways in which we research and compose papers may have changed, the fundamentals remain the same: writers need to have a strong research question, construct an evidence-based argument, cite their sources, and structure their work in a logical way. A Manual for Writers of Research Papers, Theses, and Dissertations—also known as “Turabian”—remains one of the most popular books for writers because of its timeless focus on achieving these goals. This new edition filters decades of expertise into modern standards. While previous editions incorporated digital forms of research and writing, this edition goes even further to build information literacy, recognizing that most students will be doing their work largely or entirely online and on screens. Chapters include updated advice on finding, evaluating, and citing a wide range of digital sources and also recognize the evolving use of software for citation management, graphics, and paper format and submission. The ninth edition is fully aligned with the recently released Chicago Manual of Style, 17th edition, as well as with the latest edition of The Craft of Research. Teachers and users of the previous editions will recognize the familiar three-part structure. Part 1 covers every step of the research and writing process, including drafting and revising. Part 2 offers a comprehensive guide to Chicago’s two methods of source citation: notes-bibliography and author-date. Part 3 gets into matters of editorial style and the correct way to present quotations and visual material. A Manual for Writers also covers an issue familiar to writers of all levels: how to conquer the fear of tackling a major writing project. Through eight decades and millions of copies, A Manual for Writers has helped generations shape their ideas into compelling research papers. This new edition will continue to be the gold standard for college and graduate students in virtually all academic disciplines. Bestselling, trusted, and time-tested advice for writing research papers The best interpretation of Chicago style for higher education students and researchers Definitive, clear, and easy to read, with plenty of examples Shows how to compose a strong research question, construct an evidence-based argument, cite sources, and structure work in a logical way Essential for anyone interested in learning about research Everything any student or teacher needs to know concerning paper writing