Download or read book Math Discoveries about Fractions written by Beth A. Scholten and published by . This book was released on 1996 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helps students build mathematical concepts and understandings through hands-on activities with concrete models and tools.

Download or read book Math Discoveries with Money written by Shirley Hoogeboom and published by . This book was released on 1995 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Math Discoveries about Geometry with Manipulatives written by Jillayne Prince Wallaker and published by Ideal School Supply. This book was released on 1996 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helps students build mathematical concepts and understandings through hands-on activities with concrete models and tools.

Download or read book Mathematical Methods for Knowledge Discovery and Data Mining written by Felici, Giovanni and published by IGI Global. This book was released on 2007-10-31 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book focuses on the mathematical models and methods that support most data mining applications and solution techniques, covering such topics as association rules; Bayesian methods; data visualization; kernel methods; neural networks; text, speech, and image recognition; an invaluable resource for scholars and practitioners in the fields of biomedicine, engineering, finance, manufacturing, marketing, performance measurement, and telecommunications"--Provided by publisher.

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: From the winner of the Turing Award and the Abel Prize, 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

Download or read book Humanizing Mathematics and its Philosophy written by Bharath Sriraman and published by Birkhäuser. This book was released on 2017-11-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.

Download or read book Historical Modules for the Teaching and Learning of Mathematics written by Victor J. Katz and published by American Mathematical Soc.. This book was released on 2020-03-02 with total page 1378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 11 modules consist of a number of activities designed to demonstrate the use of the history of mathematics in the teaching of mathematics. Objectives of the Modules: To enable students to develop a much richer understanding of mathematics and its applications by viewing the same phenomena from multiple mathematical perspectives; To enable students to understand the historical background and connections among historical ideas leading to the development of mathematics; To enable students to see how mathematical concepts evolved over periods of time; To provide students with opportunities to apply their knowledge of mathematics to various concrete situations and problems in a historical context; To develop in students an appreciation of the history connected with the development of different mathematical concepts; To enable students to recognize and use connections among mathematical ideas; To enable students to understand how mathematical ideas interconnect and build on one another to produce a coherent whole; To lead students to recognize and apply mathematics in contexts outside of mathematics.--Publisher.

Download or read book The Survival of a Mathematician written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2009 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.

Download or read book The Weil Conjectures written by Karen Olsson and published by Macmillan + ORM. This book was released on 2019-07-16 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A New York Times Editors' Pick and Paris Review Staff Pick "A wonderful book." --Patti Smith "I was riveted. Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on knowledge." --Parul Sehgal, The New York Times An eloquent blend of memoir and biography exploring the Weil siblings, math, and creative inspiration Karen Olsson’s stirring and unusual third book, The Weil Conjectures, tells the story of the brilliant Weil siblings—Simone, a philosopher, mystic, and social activist, and André, an influential mathematician—while also recalling the years Olsson spent studying math. As she delves into the lives of these two singular French thinkers, she grapples with their intellectual obsessions and rekindles one of her own. For Olsson, as a math major in college and a writer now, it’s the odd detours that lead to discovery, to moments of insight. Thus The Weil Conjectures—an elegant blend of biography and memoir and a meditation on the creative life. Personal, revealing, and approachable, The Weil Conjectures eloquently explores math as it relates to intellectual history, and shows how sometimes the most inexplicable pursuits turn out to be the most rewarding.

Download or read book Refining the Mathematics Knowledge Base written by Bindu Elizabeth Pothen and published by Stanford University. This book was released on 2011 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the knowledge that teachers must bring to their classrooms is critical to the advancement of the field of teacher education. Understanding how teacher knowledge impacts various aspects of teacher practice is also critical. Understanding the interplay between teacher knowledge and practice, and consequently the result that this relationship has on student learning is most important. This dissertation attempts to advance our collective understanding of the complex relationship between teacher knowledge, teacher practice, and student learning in the field of elementary mathematics. Four third-grade teachers were followed as they taught a subset of lessons in a unit on fractions. The study first investigates the types of knowledge that the teachers brought to their classrooms. Then, an examination is conducted of the way in which these types of knowledge impacted their teaching practice. Finally, the student learning that resulted over the course of these lessons is discussed. This study supports the widespread belief that teacher knowledge is important to instruction. The descriptions of the case study teachers highlight that their varying levels of knowledge resulted in unique aspects of practice being emphasized in their classrooms. This dissertation documents the differences in teaching practice and the trade-offs that produce differences in student learning. Interesting student learning patterns emerged, based on qualitative student interviews. Medium students from classrooms in which teachers focused for more sustained periods on mathematical concepts seemed to demonstrate greater procedural fluency and deeper conceptual understanding than their peers in the other classrooms. Low students in classrooms where fluency was the focus seemed to show slightly greater procedural fluency, though less conceptual understanding, than their peers in the classrooms that spent more time on concepts. High students showed no appreciable difference across all classrooms. This study adds to the field by introducing a new construct, the conceptual threshold, to offer an explanation of these student learning trends.

Download or read book The History of Mathematics written by David M. Burton and published by WCB/McGraw-Hill. This book was released on 1985 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The History of Mathematics: An Introduction," Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics'greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.

Download or read book Implementing Standards based Mathematics Instruction written by Mary Kay Stein and published by Teachers College Press. This book was released on 2000 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents prevalent cases of maths instruction drawn from research of classroom lessons. The "Mathematical Tasks Framework", developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes.

Download or read book Exemplary Practices for Secondary Math Teachers written by Alfred S. Posamentier and published by ASCD. This book was released on 2007-03-15 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every year new secondary mathematics teachers take up positions in middle and high schools. The luckiest novices receive assistance from a coach or mentor: a master mathematics teacher who makes constructive comments, models effective approaches, and illuminates other practical aspects of teaching secondary math. But many new teachers don't have this advantage and must further their development on their own. If you are one of these teachers, this is the book you need. In these pages, veteran mathematics educators Alfred S. Posamentier, Daniel Jaye, and Stephen Krulik present a treasure chest of ideas to guide new secondary math teachers through the challenging first few months and also provide more experienced teachers with interesting alternatives to familiar methods. The topics covered include * The most effective instructional practices * The best uses of the textbook * Designing successful lessons * Creating homework that promotes learning * Incorporating challenge * Teaching reasoning and problem solving * Strategies for assessment and grading * Specific innovative ideas for teaching key concepts * Options for extracurricular activities * Long-term professional enrichment and growth. It's during the first few years of a teacher's experience that he or she develops the habits, methods, procedures, and techniques that tend to define a career. Exemplary Practices for Secondary Math Teachers provides both a foundation for excellence and a touchstone for years to come. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.

Download or read book Hands On Mathematics Grade 3 written by Jennifer Lawson and published by Portage & Main Press. This book was released on 2006 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: This teacher resource offers a detailed introduction to the Hands-On Mathematics program (guiding principles, implementation guidelines, an overview of the processes that grade 3 students use and develop during mathematics inquiry), and a classroom assessment plan complete with record-keeping templates and connections to the Achievement Levels outlined in the Ontario Mathematics Curriculum. It also provides strategies and visual resources for developing students' mental math skills. Each unit is divided into lessons that focus on specific curricular expectations. Each lesson has materials lists, activity descriptions, questioning techniques problem-solving examples, activity centre and extension ideas, assessment suggestions, activity sheets and visuals.--Portage & Main Press.

Download or read book The Mathematician s Brain written by David Ruelle and published by Princeton University Press. This book was released on 2007-08-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.

Download or read book The SimCalc Vision and Contributions written by Stephen J. Hegedus and published by Springer Science & Business Media. This book was released on 2012-12-16 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides essential guidance for transforming mathematics learning in schools through the use of innovative technology, pedagogy, and curriculum. It presents clear, rigorous evidence of the impact technology can have in improving students learning of important yet complex mathematical concepts -- and goes beyond a focus on technology alone to clearly explain how teacher professional development, pedagogy, curriculum, and student participation and identity each play an essential role in transforming mathematics classrooms with technology. Further, evidence of effectiveness is complemented by insightful case studies of how key factors lead to enhancing learning, including the contributions of design research, classroom discourse, and meaningful assessment. The volume organizes over 15 years of sustained research by multiple investigators in different states and countries who together developed an approach called "SimCalc" that radically transforms how Algebra and Calculus are taught. The SimCalc program engages students around simulated motions, such as races on a soccer field, and builds understanding using visual representations such as graphs, and familiar representations such as stories to help students to develop meaning for more abstract mathematical symbols. Further, the SimCalc program leverages classroom wireless networks to increase participation by all students in doing, talking about, and reflecting on mathematics. Unlike many technology programs, SimCalc research shows the benefits of balanced attention to curriculum, pedagogy, teacher professional development, assessment and technology -- and has proven effectiveness results at the scale of hundreds of schools and classrooms. Combining the findings of multiple investigators in one accessible volume reveals the depth and breadth of the research program, and engages readers interested in: * Engaging students in deeply learning the important concepts in mathematics * Designing innovative curriculum, software, and professional development · Effective uses of technology to improve mathematics education * Creating integrated systems of teaching that transform mathematics classrooms * Scaling up new pedagogies to hundreds of schools and classrooms * Conducting research that really matters for the future of mathematics learning ​ * Engaging students in deeply learning the important concepts in mathematics * Designing innovative curriculum, software, and professional development · Effective uses of technology to improve mathematics education * Creating integrated systems of teaching that transform mathematics classrooms * Scaling up new pedagogies to hundreds of schools and classrooms * Conducting research that really matters for the future of mathematics learning ​ ​

Download or read book Mathematical Sorcery written by Calvin C. Clawson and published by Basic Books. This book was released on 2009-04-28 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two kinds of people: those who can do mathematics, and then there's the rest of us. Math is boring. Females have no facility for mathematics (and really don't need it, anyway).For many people who do not like math, these myths ring true. Calvin Clawson, the celebrated author of Mathematical Mysteries , has a unique talent for opening the door for the uninitiated to the splendors of mathematics. A writer in love with his subject, Clawson offers readers the perfect antidote to the phobias and misconceptions surrounding mathematics in Mathmatical Sorcery . Contending that the power and beauty of mathematics are gifts in which we all can partake, he shows that the field of mathematics holds a bounty of wonder that can be reaped by any one of us in the hopes of discovering new truths. In this captivating quest for pure knowledge, Clawson takes us on a journey to the amazing discoveries of our ancient ancestors. He divulges the wisdom of the Ancient Greeks, Sumerians, Babylonians, and Egyptians, whose stunning revelations still have deep meaning to us today. The secrets of the constellations, the enigma of the golden mean, and the brilliance of a proof are just some of the breakthroughs he explores with unbridled delight. Enabling us to appreciate the achievements of Newton and other intellectual giants, Clawson inspires us through his eloquence and zeal to actually do mathematics, urging us to leap to the next level. He helps us intuitively comprehend and follow the very building blocks that too long have been a mystery to most of us, including infinity, functions, and the limit. As he elegantly states: "Mathematics is pursued not only for the sheer joy of the pursuit, as with the Ancient Greeks, but for the truths it reveals about our universe." Through Mathmatical Sorcery , we taste the fruit of knowledge that has eluded us until now.