Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators

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Publisher : Springer
ISBN 13 : 3319733966
Total Pages : 471 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators by : Alexei Volkov

Download or read book Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators written by Alexei Volkov and published by Springer. This book was released on 2019-01-11 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.

The Palgrave Handbook of Embodiment and Learning

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Publisher : Springer Nature
ISBN 13 : 3030930017
Total Pages : 594 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis The Palgrave Handbook of Embodiment and Learning by : Anja Kraus

Download or read book The Palgrave Handbook of Embodiment and Learning written by Anja Kraus and published by Springer Nature. This book was released on 2022-12-06 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides an important overview of corporeality, embodiment and learning in education from both theoretical and empirical perspectives. Situating the body at the centre of educational practice, the editors and contributors introduce the concept of ‘tact’ as a practical corporeal language. The chapters provide a spectrum of historical, conceptual, empirical and practical educational approaches for embodied pedagogical engagement. Tact and embodied knowledge form a significant component of a teacher’s capability and professionalism: interacting with students, a pedagogue responds to them tactfully, emotionally, sensitively, and reflectively searching for the right thing to do, the right words to say, improvising in aural, linguistic, spatial, and visual way that are as restrained as they are enabled by the body. This handbook questions the familiar and established essentialist and naturalist view of the body to allow new perspectives on how corporeality affects learners. It will be of interest to scholars in education and philosophy as well as those researching in across social sciences.

Advances In The History Of Mathematics Education

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Publisher : Springer Nature
ISBN 13 : 3030952355
Total Pages : 262 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Advances In The History Of Mathematics Education by : Alexander Karp

Download or read book Advances In The History Of Mathematics Education written by Alexander Karp and published by Springer Nature. This book was released on 2022-06-20 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of scholarly studies in the history of mathematics education, very abbreviated versions of which were presented at the ICMI Congress in 2021. The book discusses issues in education in Brazil and Belgium, in Poland and Spain, in Russia and the United States. Probably the main factor that unifies the chapters of the book is their attention to key moments in the formation of the field of mathematics education. Topics discussed in the book include the formation and development of mathematics education for women; the role of the research mathematician in the formation of standards for writing textbooks; the formation of curricula and the most active figures in this formation during the New Math period; the formation of certain distinctive features of curricula in Poland; the formation of the views of David Eugene Smith and the influence of European mathematics education on him; the formation of the American mathematics community; and the creation of such forms of student assessment as entrance exams to higher educational institutions. The book is of interest not only to historians of mathematics education, but also to wide segments of specialists in other areas of mathematics education.

Researching the History of Mathematics Education

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Author :
Publisher : Springer
ISBN 13 : 3319682946
Total Pages : 314 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Researching the History of Mathematics Education by : Fulvia Furinghetti

Download or read book Researching the History of Mathematics Education written by Fulvia Furinghetti and published by Springer. This book was released on 2017-12-04 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Digital Games and Mathematics Learning

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Publisher : Springer
ISBN 13 : 9401795177
Total Pages : 309 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Digital Games and Mathematics Learning by : Tom Lowrie

Download or read book Digital Games and Mathematics Learning written by Tom Lowrie and published by Springer. This book was released on 2015-10-05 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital games offer enormous potential for learning and engagement in mathematics ideas and processes. This volume offers multidisciplinary perspectives—of educators, cognitive scientists, psychologists and sociologists—on how digital games influence the social activities and mathematical ideas of learners/gamers. Contributing authors identify opportunities for broadening current understandings of how mathematical ideas are fostered (and embedded) within digital game environments. In particular, the volume advocates for new and different ways of thinking about mathematics in our digital age—proposing that these mathematical ideas and numeracy practices are distinct from new literacies or multiliteracies. The authors acknowledge that the promise of digital games has not always been realised/fulfilled. There is emerging, and considerable, evidence to suggest that traditional discipline boundaries restrict opportunities for mathematical learning. Throughout the book, what constitutes mathematics learnings and pedagogy is contested. Multidisciplinary viewpoints are used to describe and understand the potential of digital games for learning mathematics and identify current tensions within the field. Mathematics learning is defined as being about problem solving; engagement in mathematical ideas and processes; and social engagement. The artefact, which is the game, shapes the ways in which the gamers engage with the social activity of gaming. In parallel, the book (as a te xtual artefact) will be supported by Springer’s online platform—allowing for video and digital communication (including links to relevant websites) to be used as supplementary material and establish a dynamic communication space.

Mathematics as the Science of Patterns

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Publisher : IAP
ISBN 13 : 1648027466
Total Pages : 265 pages
Book Rating : 4.6/5 (48 download)

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Book Synopsis Mathematics as the Science of Patterns by : Patrick M. Jenlink

Download or read book Mathematics as the Science of Patterns written by Patrick M. Jenlink and published by IAP. This book was released on 2022-02-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers’ patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students’ learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov’s Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.

Manuscripts and Performances in Religions, Arts, and Sciences

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311134388X
Total Pages : 507 pages
Book Rating : 4.1/5 (113 download)

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Book Synopsis Manuscripts and Performances in Religions, Arts, and Sciences by : Antonella Brita, Janina Karolewski, Matthieu Husson, Laure Miolo, Hanna Wimmer

Download or read book Manuscripts and Performances in Religions, Arts, and Sciences written by Antonella Brita, Janina Karolewski, Matthieu Husson, Laure Miolo, Hanna Wimmer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-12-04 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Zetetics and the Art of Mathematical Enquiry

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 144385722X
Total Pages : 261 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Zetetics and the Art of Mathematical Enquiry by : Peter Merrotsy

Download or read book Zetetics and the Art of Mathematical Enquiry written by Peter Merrotsy and published by Cambridge Scholars Publishing. This book was released on 2023-03-28 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has a rich history from cultures around the world, which can extend and enrich the appreciation and learning of mathematical concepts. This book provides inspiration for mathematics educators by exploring the development of mathematical concepts from historical and cultural perspectives. It will also be of interest to general readers with an interest in mathematics. Each chapter uses original historical material to introduce a mathematical concept that is then explored through new and unusual perspectives. The book presents several new mathematical “discoveries and inventions”, and offers a re-interpretation of traditional approaches to a range of mathematical problems, doing so in a rigorous way. Topics discussed here include numeracy, the abacus, Mesopotamian mathematics, public-key cryptography, Pythagoras’ theorem, the holistic nature of trigonometry, and an introduction to integral calculus, among many others. Throughout is reflected the author’s enthusiastic style of teaching and his entertaining approach to mathematics, serving to highlight active engagement with significant mathematical problems and hands-on modelling to build deep understanding of the concepts.

The Oxford Handbook of Science and Medicine in the Classical World

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Publisher : Oxford University Press
ISBN 13 : 0190878827
Total Pages : 1200 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis The Oxford Handbook of Science and Medicine in the Classical World by : Paul Keyser

Download or read book The Oxford Handbook of Science and Medicine in the Classical World written by Paul Keyser and published by Oxford University Press. This book was released on 2018-06-26 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a focus on science in the ancient societies of Greece and Rome, including glimpses into Egypt, Mesopotamia, India and China, The Oxford Handbook of Science and Medicine in the Classical World offers an in depth synthesis of science and medicine circa 650 BCE to 650 CE. The Handbook comprises five sections, each with a specific focus on ancient science and medicine. The second section covers the early Greek era, up through Plato and the mid-fourth century bce. The third section covers the long Hellenistic era, from Aristotle through the end of the Roman Republic, acknowledging that the political shift does not mark a sharp intellectual break. The fourth section covers the Roman era from the late Republic through the transition to Late Antiquity. The final section covers the era of Late Antiquity, including the early Byzantine centuries. The Handbook provides through each of its approximately four dozen essays, a synthesis and synopsis of the concepts and models of the various ancient natural sciences, covering the early Greek era through the fall of the Roman Republic, including essays that explore topics such as music theory, ancient philosophers, astrology, and alchemy. The Oxford Handbook of Science and Medicine in the Classical World guides the reader to further exploration of the concepts and models of the ancient sciences, how they evolved and changed over time, and how they relate to one another and to their antecedents. There are a total of four dozen or so topical essays in the five sections, each of which takes as its focus the primary texts, explaining what is now known as well as indicating what future generations of scholars may come to know. Contributors suggest the ranges of scholarly disagreements and have been free to advocate their own positions. Readers are led into further literature (both primary and secondary) through the comprehensive and extensive bibliographies provided with each chapter.

Commentary on Aristotle, ›Nicomachean Ethics‹

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110643065
Total Pages : 386 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Commentary on Aristotle, ›Nicomachean Ethics‹ by : Georgios Pachymeres

Download or read book Commentary on Aristotle, ›Nicomachean Ethics‹ written by Georgios Pachymeres and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-09-05 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Greek commentary tradition devoted to explicating Aristotle’s Nicomachean Ethics (NE) was extensive. It began in antiquity with Aspasius and reached a point of immense sophistication in the twelfth century with the commentaries of Eustratius of Nicaea and Michael of Ephesus, which primarily served educational purposes. The use of Aristotle’s ethics in the classroom continued into the late Byzantine period, but until recently scholastic use of the NE was known mostly through George Pachymeres’ epitome of the NE (Book 11 of his Philosophia). This volume radically changes the landscape by providing the editio princeps of the last surviving exegetical commentary on the NE stricto sensu, also penned by Pachymeres. This represents a new witness to the importance of Aristotelian studies in the cultural revival of late Byzantium. The editio princeps is accompanied by an English translation and a thorough introduction, which offers an informed reading of the commentary’s genre and layout, relationship to its sources, exegetical strategies, and philosophical originality. This book also includes the edition of diagrams and scholia accompanying Pachymeres’ exegesis, whose paratextual function is key to a full understanding of the work.

Cultures of Computation and Quantification in the Ancient World

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Publisher : Springer Nature
ISBN 13 : 3030983617
Total Pages : 764 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Cultures of Computation and Quantification in the Ancient World by : Karine Chemla

Download or read book Cultures of Computation and Quantification in the Ancient World written by Karine Chemla and published by Springer Nature. This book was released on 2023-01-01 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within “civilizational” blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds.

Vector

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Publisher : University of Chicago Press
ISBN 13 : 0226821102
Total Pages : 474 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis Vector by : Robyn Arianrhod

Download or read book Vector written by Robyn Arianrhod and published by University of Chicago Press. This book was released on 2024-05-30 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The stars of the latest book by award-winning science writer and mathematician Robyn Arianrhod are unlikely celebrities--vectors and tensors. If you took a high school physics course, the word "vector" might remind you of the mathematics needed to determine forces on an amusement park ride, say; or of cross products, a special kind of multiplication using a bespoke table and a right-hand rule. You might also remember the introductory definition of a vector as a quantity that has magnitude and (this is the key) direction. Velocity--for example, 25 miles per hour northwest--is a vector; speed, such as 25 miles per hour, is not. Put another way, a velocity vector in space contains not one number, but three-a measurement of speed along each of three dimensions. It sounds simple, in hindsight--yet, as Arianrhod shows in this intriguing story, the idea of a single symbol expressing several things at once is a sophisticated one, millennia in the making. Vectors are examples of an even more sophisticated idea, the tensor. And it's not just space that vectors and tensors can represent, but information, too. Which means that whenever you use a search engine, say, or AI bot, computer graphics, or a host of other digital applications, vectors and tensors are there somewhere in the software. As for physics, there's much more to it than velocities and simple forces! Arianrhod shows how the discovery of vectors and tensors enabled physicists and mathematicians to think brand new thoughts-such as Maxwell did when he ushered in the wireless electromagnetic age, and Einstein when he predicted the curving of four-dimensional space-time and the existence of gravitational waves. Quantum theory, too, makes fine use of these ideas. In other words, vectors and tensors have been critical not only to the way we see our universe, but also to the invention of Wi-Fi, GPS, micro-technology, and so much else that we take for granted today. In exploring the history and significance of vectors and tensors-and introducing the fascinating people who gave them to us--Arianrhod takes readers on an extraordinary, five-thousand-year journey through the human imagination. A celebration of an idea, Vector shows the genius required to imagine the world in new dimensions-and how a clever mathematical construct can direct the future of discovery"--

The Didactical Challenge of Symbolic Calculators

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Publisher : Springer
ISBN 13 : 9781441935823
Total Pages : 0 pages
Book Rating : 4.9/5 (358 download)

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Book Synopsis The Didactical Challenge of Symbolic Calculators by : Dominique Guin

Download or read book The Didactical Challenge of Symbolic Calculators written by Dominique Guin and published by Springer. This book was released on 2010-12-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A significant driver of recent growth in the use of mathematics in the professions has been the support brought by new technologies. Not only has this facilitated the application of established methods of mathematical and statistical analysis but it has stimulated the development of innovative approaches. These changes have produced a marked evolution in the professional practice of mathematics, an evolution which has not yet provoked a corresponding adaptation in mathematical education, particularly at school level. In particular, although calculators -- first arithmetic and scientific, then graphic, now symbolic -- have been found well suited in many respects to the working conditions of pupils and teachers, and have even achieved a degree of official recognition, the integration of new technologies into the mathematical practice of schools remains marginal. It is this situation which has motivated the research and development work to be reported in this volume. The appearance of ever more powerful and portable computational tools has certainly given rise to continuing research and development activity at all levels of mathematical education. Amongst pioneers, such innovation has often been seen as an opportunity to renew the teaching and learning of mathematics. Equally, however, the institutionalization of computational tools within educational practice has proceeded at a strikingly slow pace over many years.

Mathematics and Computation

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Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Computing Before Computers

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Publisher : Wiley-Blackwell
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Computing Before Computers by : William Aspray

Download or read book Computing Before Computers written by William Aspray and published by Wiley-Blackwell. This book was released on 1990 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Math(s) Fix

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Author :
Publisher : Wolfram Media
ISBN 13 : 9781579550295
Total Pages : pages
Book Rating : 4.5/5 (52 download)

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Book Synopsis The Math(s) Fix by : Conrad Wolfram

Download or read book The Math(s) Fix written by Conrad Wolfram and published by Wolfram Media. This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Why are we all taught maths for years of our lives? Does it really empower everyone? Or fail most and disenfranchise many? Is it crucial for the AI age or an obsolete rite of passage? The Math(s) Fix: An Education Blueprint for the AI Age is a groundbreaking book that exposes why maths education is in crisis worldwide and how the only fix is a fundamentally new mainstream subject. It argues that today's maths education is not working to elevate society with modern computation, data science and AI. Instead, students are subjugated to compete with what computers do best, and lose. This is the only book to explain why being "bad at maths" may be as much the subject's fault as the learner's: how a stuck educational ecosystem has students, parents, teachers, schools, employers and policymakers running in the wrong direction to catch up with real-world requirements. But it goes further too"¬‚¬"for the first time setting out a completely alternative vision for a core computational school subject to fix the problem and seed more general reformation of education for the AI age.

Using Information Technology in Mathematics Education

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Publisher : CRC Press
ISBN 13 : 9780789013767
Total Pages : 204 pages
Book Rating : 4.0/5 (137 download)

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Book Synopsis Using Information Technology in Mathematics Education by : James Tooke

Download or read book Using Information Technology in Mathematics Education written by James Tooke and published by CRC Press. This book was released on 2001-10-11 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computers have changed the ways that mathematics are taught and learned. Is your institution taking advantage of what today's technology offers? With contributions from researchers and practitioners alike, Using Information Technology in Mathematics Education explores the impact of the computer on the curriculum, the teaching and learning of mathematics, and the professional development of teachers, both pre-service and in-service. As editor James Tooke states: “The connection between mathematics and the computer is obvious. Elementary notions of mathematics gave rise to the computer; advanced notions gave it a more powerful state. As the computer advanced, it expanded mathematics, allowing the creation of further branches of the field; for instance, fractal geometry had no reality until the advent of high-speed computers.” In its look at the relationship between mathematics, the computer, and mathematics education, Using Information Technology in Mathematics Education: addresses the computer as a vehicle for teaching calculus at Texas A&M includes reports from several programs that have utilized the computer when teaching mathematics at lower levels of content than calculus such as intermediate algebra and geometry examines the computer's role in student learning probability discusses the use of computers in the professional development of teachers explores ways to use computers to reduce mathematics anxiety Using Information Technology in Mathematics Education examines the history and impact of computers in mathematics and mathematics education--from the early, crude computer-assisted instruction efforts through LOGO software for elementary schools, through MAPLE for the university, to the Web-based calculus courses now being offered by outstanding universities. Use it to facilitate learning and teacher growth in your institution!