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Author: David Spangler Publisher: Good Year Books ISBN: 1596473290 Category : Education Languages : en Pages : 210
Book Description
What are your chances of winning the lottery? How much interest will you end up paying on that credit card purchase? Thought-provoking real-world math problems (and some humorous ones too) require inductive and deductive reasoning as students search for a pattern, break a code, uncover and correct errors, or use clues to solve a mystery. Teacher pages set up full instructions for 27 activities driven by reproducible student handouts and correlated to NCTM standards. A workbook containing all the handouts allows teachers to conveniently collect a students work. Grades 6-9. Bibliography. Answer keys with full solutions. Good Year Books. 199 pages. Second Edition.
Author: Marcia Ascher Publisher: Princeton University Press ISBN: 0691187649 Category : Mathematics Languages : en Pages : 220
Book Description
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.
Author: Don Koks Publisher: Springer Science & Business Media ISBN: 0387309438 Category : Science Languages : en Pages : 549
Book Description
Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
Author: Kristopher Tapp Publisher: Springer Nature ISBN: 3030516695 Category : Mathematics Languages : en Pages : 263
Book Description
This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.
Author: Mr. Slosberg Publisher: Rainbowdash Publishers LLC ISBN: Category : Mathematics Languages : en Pages : 55
Book Description
An assistant examiner and teacher explains to students in simple, practical steps how to earn full marks on their individual exploration for HL or SL Mathematics. This book is intended for students taking either "Applications and Interpretation" or "Analysis and Approaches." Please note: if you are graduating in 2020 or before, you should buy the previous edition of this book. This edition is for the new courses--"Applications and Interpretation" and "Analysis and Approaches"--which will be taught beginning in August 2019 with first exams in May 2021.
Author: Paul Kay Publisher: Mit Press ISBN: 9780262610193 Category : Social Science Languages : en Pages : 304
Book Description
This is an excellent sampling of mathematical, statistical, and computer techniques used by anthropologists to tackle a wide range of substantive problems.The scope of topics considered in this volume is so wide and various as to be an impressive indication of a strong future for mathematics in anthropology. Briefly, such topics include interinformant reliability, cultural distinctiveness in conceptual areas, cultural systems as mental systems of identification, classification, evaluation and action, diffusional versus functional explanations, general interaction theory, kinship terminologies as logical systems, folklore, cultural systems as systems of knowledge and belief, systemic culture patterns, endogamy/exogamy, genealogy, relation of social structure to relational terminology, cultural continuity, and cultural change.
Author: Rozsa Peter Publisher: ISBN: 9780844652351 Category : Languages : en Pages :
Book Description
Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.
Author: Nicola Yelland Publisher: Cambridge University Press ISBN: 1107618827 Category : Education Languages : en Pages : 297
Book Description
This book presents teachers with a sound theoretical framework for encouraging children to explore mathematical concepts and become numerate in the 21st century. It shows that mathematical learning can occur in a variety of ways, including when children explore ideas through play, problem solving and problem posing, engage in a rich variety of multimodal learning experiences, pursue self-directed activities and cooperate with others, and make connections between ideas and experiences in their everyday worlds. - Back cover
Author: Alan F. Beardon
Author: Alan F. Beardon
Author: David Spangler
Author: 
Author: Marcia Ascher
Author: Don Koks
Author: Kristopher Tapp
Author: Mr. Slosberg
Author: Paul Kay
Author: Rozsa Peter
Author: Nicola Yelland