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Mathematical Time Capsules by Dick Jardine,Amy Shell-Gellasch Pdf
Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description.
Time capsules have been used for thousands of years to store for posterity a selection of objects thought to be representative of life at a particular time. Such vessels have the dual purpose of causing participants to ponder their own cultural era and think about those to come. This work is a cultural history of five thousand years of time capsules and other related time-information transfer experiences. It examines both the formal and the popular culture aspects of the time capsule, from its roots in ancient Mesopotamian and Egyptian building foundation deposits to the present utilization of spacecraft probes and other extreme locations. The deposits of 3000 BCE deliberately had no definite date and time to be opened; in 1876 CE came the idea of target-dated deposits. Also discussed are how “real” time capsules work, notional and archaeological time capsules, the height of the time capsule’s popularity from 1935 to 1982, the preservation of writings in time capsules, keeping time in a perpetual futurescape, and turn of the century hype surrounding millennium time capsules.
This book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics. In accordance with the heuristic approach, the philosophy of mathematics must concern itself with the making of mathematics and in particular with mathematical discovery. In the past century, mainstream philosophy of mathematics has claimed that the philosophy of mathematics cannot concern itself with the making of mathematics but only with finished mathematics, namely mathematics as presented in published works. On this basis, mainstream philosophy of mathematics has maintained that mathematics is theorem proving by the axiomatic method. This view has turned out to be untenable because of Gödel’s incompleteness theorems, which have shown that the view that mathematics is theorem proving by the axiomatic method does not account for a large number of basic features of mathematics. By using the heuristic approach, this book argues that mathematics is not theorem proving by the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.
Origins of Mathematical Words by Anthony Lo Bello Pdf
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.
Mathematics, Education and History by Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis Pdf
This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.
The Case of the Locked Time Capsule by Thomas K. Adamson,Heather Adamson Pdf
"Workers discover a time capsule at Lincoln Elementary, but it's locked! What could be inside? Whoever made it left a trail of geometry clues based on shapes. Be a math detective along with the kids at Lincoln Elementary and help solve this pick-your-own-path mystery"--
Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition by William P. Berlinghoff,Fernando Q. Gouvêa Pdf
Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.
This second volume of papers on Thomas Harriot edited by Professor Robert Fox is based on the annual Harriot lectures delivered at Oriel College, Oxford between 2000 and 2009. It complements the previous volume, published as Thomas Harriot: An Elizabethan Man of Science in 2000. The focus in several of the papers is on Harriot's outstanding achievements as a mathematician; others consider why he has never received the recognition accorded to his great contemporary, Galileo; others again examine his association with his entrepreneurial patron Walter Ralegh and his contributions to the intensely practical world of exploration and seamanship, as exemplified in his voyage to the coast of present-day North Carolina in 1585. The volume adds significantly to our understanding of a true Renaissance man who wrote accomplished Latin, earned the respect of Europe's leading mathematicians and astronomers, and moved easily in circles close to the English court and whose 'Brief and true report of the new found land of Virginia' (1588) was the first detailed description of America to be published in the English language.
José Celestino Mutis and Newtonianism in New Granada, 1762–1808 by Sebastián Molina-Betancur Pdf
This book presents the process of circulation and adoption of Newtonianism in the Viceroyalty of New Granada (modern-day Colombia) in the eighteenth century by examining José Celestino Mutis’s lectures at the Colegio del Rosario between the 1760s and 1770s. Mostly famous for his botanical activities as director of the botanical expedition, Mutis lectured the first course of mathematics ever created in New Granada on his arrival in Bogota in 1762, in which he included several lectures on physics that encompassed multiple aspects of his interpretation of Newton’s experimental physics.
The Shape and Size of the Earth by Dino Boccaletti Pdf
This book describes in detail the various theories on the shape of the Earth from classical antiquity to the present day and examines how measurements of its form and dimensions have evolved throughout this period. The origins of the notion of the sphericity of the Earth are explained, dating back to Eratosthenes and beyond, and detailed attention is paid to the struggle to establish key discoveries as part of the cultural heritage of humanity. In this context, the roles played by the Catholic Church and the philosophers of the Middle Ages are scrutinized. Later contributions by such luminaries as Richer, Newton, Clairaut, Maupertuis, and Delambre are thoroughly reviewed, with exploration of the importance of mathematics in their geodetic enterprises. The culmination of progress in scientific research is the recognition that the reference figure is not a sphere but rather a geoid and that the earth’s shape is oblate. Today, satellite geodesy permits the solution of geodetic problems by means of precise measurements. Narrating this fascinating story from the very beginning not only casts light on our emerging understanding of the figure of the Earth but also offers profound insights into the broader evolution of human thought.
Teachers, Tricks, and Time Capsules by Brittany E. Brinegar Pdf
Secrets in a time capsule aren’t meant to stay dead and buried. Lizzie always lived in her brilliant twin sister’s shadow until she was elected senior class president. Now’s her chance to be more than a carbon copy. Her first official duty is a cakewalk - hosting the Back to School Festival. But when the opening of a time capsule unearths a decades-old town secret, her spectacular shindig is in jeopardy. A mysterious note from “the future” threatens to spark the small-town gossip mill and send residents into a frenzy. To prevent disaster, Lizzie enlists the help of her fellow amateur sleuths to solve the puzzle. But the deeper they dive into the hoax, the more real the danger becomes. Can Lizzie unravel the hoax before the festival is ruined? Or will her failure crown the town as the class clown of the county? ---------------- Teachers, Tricks, and Time Capsules is a stand-alone case in the Twin Bluebonnet Ranch Mysteries. If you love quirky small-town characters, best friend shenanigans, and a Dalmatian sidekick, this series is for you! Twin Bluebonnet Ranch Mysteries Teachers, Tricks, and Time Capsules Silent Nights and Shoplifting Antiques, Alibis, and Auctions Rodeo, Ransom, and Fireworks Ghostwriters and Gravediggers Secrets, Lies, and Poisonberry Pies Friday Night Frights Turkey, Thievery, and Twins ----------------- small town cozy mystery, female sleuths mystery, funny cozy mystery, whodunit cozy mysteries, Texas, bluebonnets, novella, short stories, hour reads, short mysteries, dalmatian dog, ranch, cowgirls, private investigators, whimsical women sleuths, back to school, festival, fair, end of summer
Democracy and Mathematics Education by Kurt Stemhagen,Catherine Henney Pdf
In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students’ math abilities and democratic potential. They locate mathematics’ origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book’s humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics’ Choice Book Award.
Dialogues on The Nature of Time by Sanjar Ali Khan Pdf
This book is about nature - specifically on the impact of time on nature's various aspects. A novel approach is attempted to present new ideas through the medium of imaginary discussions principally between two animal characters - a hare and a tortoise. These characters have been accorded certain human characteristics - language, basic education and knowledge of scientific concepts as put forward through quotations from scientists, scholars and philosophers. The ideas and concepts about time and natural phenomena are exemplified through a series of meetings between the two animal characters who sort out their own ideas and beliefs about the mysteries of time.
Applications of Mathematics in Economics by Warren Page Pdf
Shows instructors what mathematics is used at the undergraduate level in various parts of economics. Separate sections provide students with opportunities to apply their mathematics in relevant economics contexts. Brings together many different mathematics applications to such varied economics topics.