From the creators of the bestselling "The Explorabook" come innovative, hands-on math and science activities of many cultures. With instructions in this book, one can construct a Brazilian carnival instrument, play a peg solitaire game from Madagascar, or count like an Egyptian. Illustrations throughout.

Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

Mathematics Elsewhere is a fascinating and important contribution to a global view of mathematics. Presenting mathematical ideas of peoples from a variety of small-scale and traditional cultures, it humanizes our view of mathematics and expands our conception of what is mathematical. Through engaging examples of how particular societies structure time, reach decisions about the future, make models and maps, systematize relationships, and create intriguing figures, Marcia Ascher demonstrates that traditional cultures have mathematical ideas that are far more substantial and sophisticated than is generally acknowledged. Malagasy divination rituals, for example, rely on complex algebraic algorithms. And some cultures use calendars far more abstract and elegant than our own. Ascher also shows that certain concepts assumed to be universal--that time is a single progression, for instance, or that equality is a static relationship--are not. The Basque notion of equivalence, for example, is a dynamic and temporal one not adequately captured by the familiar equal sign. Other ideas taken to be the exclusive province of professionally trained Western mathematicians are, in fact, shared by people in many societies. The ideas discussed come from geographically varied cultures, including the Borana and Malagasy of Africa, the Tongans and Marshall Islanders of Oceania, the Tamil of South India, the Basques of Western Europe, and the Balinese and Kodi of Indonesia. This book belongs on the shelves of mathematicians, math students, and math educators, and in the hands of anyone interested in traditional societies or how people think. Illustrating how mathematical ideas play a vital role in diverse human endeavors from navigation to social interaction to religion, it offers--through the vehicle of mathematics--unique cultural encounters to any reader.

The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.

STEM, STEAM, Make, Dream explores the ways that science, technology, engineering, and mathematics can transform all young people's lives through learning. This includes reimagining our collective relationship to STEM by presenting it as more accepting and accessible than previously acknowledged. Beginning with the ways that STEM has been used to marginalize many children, the book examines the need for the arts - including culture - to serve as an anchor for instruction. It also describes the need for "making" (hands-on creation and tinkering) in establishing relevance in learning. Then, through an experiential approach, the book articulates the value of dreaming of a future that is inclusive of all young people, especially those furthest from opportunity. To help all children claim their STEM identity, the book provides educators, policy makers, and community leaders with tangible ways to honor culture, increase equity, and encourage curiosity. The book demystifies STEM and shows a clear pathway to empowering children with the skills needed to succeed in a science and tech-based world. In addition, it offers educators a roadmap to developing future creators, innovators, scientists, and entrepreneurs. This includes providing the tools and knowledge necessary to advocate for sustainable change and address inequity, apathy, and the many other real problems in education. To do so, the book combines real-world stories, observations, and research in a visually-rich package that includes activities, inspiring quotes, and key takeaways. To help ground research and theory, readers will hear from - and be inspired by - practitioners, activists, and artists ranging from renowned astrophysicist Neil deGrasse Tyson to founding Wu-Tang Clan member GZA to acclaimed educator Gholdy Muhammad. In profiling these innovators, the book reveals how readers can nurture creativity, spark joy, and promote perseverance in all children.

Science in the Forest, Science in the Past: Further Interdisciplinary Explorations comprises of papers from the second of two workshops involving a group of scholars united in the conviction that the great diversity of knowledge claims and practices for which we have evidence must be taken seriously in their own terms rather than by the yardstick of Western modernity. Bringing to bear social anthropology, history and philosophy of science, computer science, classics and sinology among other fields, they argue that the use of such dismissive labels as ‘magic’, ‘superstition’ and the ‘irrational’ masks rather than solves the problem and reject counsels of despair which assume or argue that radically alien beliefs are strictly unintelligible to outsiders and can be understood only from within the system in question. At the same time, they accept that how to proceed to a better understanding of the data in question poses a formidable challenge. Key problems identified in the inaugural workshop, whose proceedings were published in HAU: Journal of Ethnographic Theory (2019) and in HAU Books (2020), provided the basis for asking how obvious pitfalls might be avoided and a new or revised framework within which to pursue these problems proposed. The chapters in this book were originally published in Interdisciplinary Science Reviews.

This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

While the physical sciences are a continuously evolving source of technology and of understanding about our world, they have become so specialized and rely on so much prerequisite knowledge that for many people today the divide between the sciences and the humanities seems even greater than it was when C. P. Snow delivered his famous 1959 lecture,

Does two and two equal four? Ask someone and they should answer yes. An equation such as this seems the very definition of certainty, but is it? In this book, Helen Verran addresses precisely that question.

The first comprehensive and statistically significant analysis of the predictive powers of each cross-cultural model, based on nation-level variables from a range of large-scale database sources such as the World Values Survey, the Pew Research Center, the World Bank, the World Health Organization, the UN Statistics Division, UNDP, the UN Office on Drugs and Crime, TIMSS, OECD PISA. Tables with scores for all culture-level dimensions in all major cross-cultural analyses (involving 20 countries or more) that have been published so far in academic journals or books. The book will be an invaluable resource to masters and PhD students taking advanced courses in cross-cultural research and analysis in Management, Psychology, Sociology, Anthropology, and related programs. It will also be a must-have reference for academics studying cross-cultural dimensions and differences across the social and behavioral sciences.