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Mathematics An Integrated View
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Book Synopsis Mathematics: an Integrated View by : Roland Frederick Smith
Download or read book Mathematics: an Integrated View written by Roland Frederick Smith and published by Merrill Publishing Company. This book was released on 1974 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integrating Research on Teaching and Learning Mathematics by : Elizabeth Fennema
Download or read book Integrating Research on Teaching and Learning Mathematics written by Elizabeth Fennema and published by SUNY Press. This book was released on 1991-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.
Book Synopsis Integrated Mathematics by : Edward P. Keenan
Download or read book Integrated Mathematics written by Edward P. Keenan and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cases on Technology Integration in Mathematics Education by : Polly, Drew
Download or read book Cases on Technology Integration in Mathematics Education written by Polly, Drew and published by IGI Global. This book was released on 2014-09-30 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Common Core education standards establish a clear set of specific ideas and skills that all students should be able comprehend at each grade level. In an effort to meet these standards, educators are turning to technology for improved learning outcomes. Cases on Technology and Common Core Mathematics provides a compilation of cases and vignettes about the application of technology in the classroom in order to enhance student understanding of math concepts. This book is a timely reference source for mathematics educators, educational technologists, and school district leaders employed in the mathematics education or educational technology fields.
Book Synopsis Mathematics for High School Teachers by : Zalman Usiskin
Download or read book Mathematics for High School Teachers written by Zalman Usiskin and published by Prentice Hall. This book was released on 2003 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: For algebra or geometry courses for teachers; courses in topics of mathematics; capstone courses for teachers or other students of mathematics; graduate courses for practicing teachers; or students who want a better understanding of mathematics. Filling a wide gap in the market, this text provides current and prospective high school teachers with an advanced treatment of mathematics that will help them understand the connections between the mathematics they will be teaching and the mathematics learned in college. It presents in-depth coverage of the most important concepts in high school mathematics: real numbers, functions, congruence, similarity, and more.
Author :Judit N. Moschkovich Publisher :Information Age Pub Incorporated ISBN 13 :9781617351594 Total Pages :180 pages Book Rating :4.3/5 (515 download)
Book Synopsis Language and Mathematics Education by : Judit N. Moschkovich
Download or read book Language and Mathematics Education written by Judit N. Moschkovich and published by Information Age Pub Incorporated. This book was released on 2010 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, Iowa State University Marketing description: Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutierrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.
Book Synopsis All the Mathematics You Missed by : Thomas A. Garrity
Download or read book All the Mathematics You Missed written by Thomas A. Garrity and published by 清华大学出版社有限公司. This book was released on 2004 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Modern Theory of Integration by : Robert G. Bartle
Download or read book A Modern Theory of Integration written by Robert G. Bartle and published by American Mathematical Soc.. This book was released on 2001-03-21 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Later, graduate students learn that the Lebesgue integral is ``better'' because it removes some restrictions on the integrands and the domains over which we integrate. However, there are still drawbacks to Lebesgue integration, for instance, dealing with the Fundamental Theorem of Calculus, or with ``improper'' integrals. This book is an introduction to a relatively new theory of the integral (called the ``generalized Riemann integral'' or the ``Henstock-Kurzweil integral'') that corrects the defects in the classical Riemann theory and both simplifies and extends the Lebesgue theory of integration. Although this integral includes that of Lebesgue, its definition is very close to the Riemann integral that is familiar to students from calculus. One virtue of the new approach is that no measure theory and virtually no topology is required. Indeed, the book includes a study of measure theory as an application of the integral. Part 1 fully develops the theory of the integral of functions defined on a compact interval. This restriction on the domain is not necessary, but it is the case of most interest and does not exhibit some of the technical problems that can impede the reader's understanding. Part 2 shows how this theory extends to functions defined on the whole real line. The theory of Lebesgue measure from the integral is then developed, and the author makes a connection with some of the traditional approaches to the Lebesgue integral. Thus, readers are given full exposure to the main classical results. The text is suitable for a first-year graduate course, although much of it can be readily mastered by advanced undergraduate students. Included are many examples and a very rich collection of exercises. There are partial solutions to approximately one-third of the exercises. A complete solutions manual is available separately.
Book Synopsis Advanced Calculus by : James J. Callahan
Download or read book Advanced Calculus written by James J. Callahan and published by Springer Science & Business Media. This book was released on 2010-09-09 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.
Book Synopsis Mathematics for Neuroscientists by : Fabrizio Gabbiani
Download or read book Mathematics for Neuroscientists written by Fabrizio Gabbiani and published by Academic Press. This book was released on 2017-02-04 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Neuroscientists, Second Edition, presents a comprehensive introduction to mathematical and computational methods used in neuroscience to describe and model neural components of the brain from ion channels to single neurons, neural networks and their relation to behavior. The book contains more than 200 figures generated using Matlab code available to the student and scholar. Mathematical concepts are introduced hand in hand with neuroscience, emphasizing the connection between experimental results and theory. - Fully revised material and corrected text - Additional chapters on extracellular potentials, motion detection and neurovascular coupling - Revised selection of exercises with solutions - More than 200 Matlab scripts reproducing the figures as well as a selection of equivalent Python scripts
Book Synopsis Mathematics in a Postmodern Age by : Russell W. Howell
Download or read book Mathematics in a Postmodern Age written by Russell W. Howell and published by Eerdmans Publishing Company. This book was released on 2001 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discipline of mathematics has not been spared the sweeping critique of postmodernism. Is mathematical theory true for all time, or are mathematical constructs in fact fallible? This fascinating book examines the tensions that have arisen between modern and postmodern views of mathematics, explores alternative theories of mathematical truth, explains why the issues are important, and shows how a Christian perspective makes a difference. Contributors: W. James Bradley William Dembski Russell W. Howell Calvin Jongsma David Klanderman Christopher Menzel Glen VanBrummelen Scott VanderStoep Michael Veatch Paul Zwier
Book Synopsis Math with Bad Drawings by : Ben Orlin
Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
Book Synopsis Symbolic Integration I by : Manuel Bronstein
Download or read book Symbolic Integration I written by Manuel Bronstein and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume in the series "Algorithms and Computation in Mathematics", is destined to become the standard reference work in the field. Manuel Bronstein is the number-one expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.
Book Synopsis Secondary Mathematics for Mathematicians and Educators by : Michael Weiss
Download or read book Secondary Mathematics for Mathematicians and Educators written by Michael Weiss and published by Routledge. This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this engaging text, Michael Weiss offers an advanced view of the secondary mathematics curriculum through the prism of theory, analysis, and history, aiming to take an intellectually and mathematically mature perspective on the content normally taught in high school mathematics courses. Rather than a secondary mathematics textbook, Weiss presents here a textbook about the secondary mathematics curriculum, written for mathematics educators and mathematicians and presenting a long-overdue modern-day integration of the disparate topics and methods of secondary mathematics into a coherent mathematical theory. Areas covered include: Polynomials and polynomial functions; Geometry, graphs, and symmetry; Abstract algebra, linear algebra, and solving equations; Exponential and logarithmic functions; Complex numbers; The historical development of the secondary mathematics curriculum. Written using precise definitions and proofs throughout on a foundation of advanced content knowledge, Weiss offers a compelling and timely investigation into the secondary mathematics curriculum, relevant for preservice secondary teachers as well as graduate students and scholars in both mathematics and mathematics education.
Book Synopsis Embracing Math by : Deanna Pecaski McLennan
Download or read book Embracing Math written by Deanna Pecaski McLennan and published by . This book was released on 2020-08-18 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gain confidence in your ability to incorporate math into all aspects of your early learning program.
Book Synopsis Intermediate Algebra by : Richard N. Aufmann
Download or read book Intermediate Algebra written by Richard N. Aufmann and published by Brooks Cole. This book was released on 1999-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This worktext for students in Intermediate Algebra or Algebra II is designed specifically to support instructors seeking a cohesive approach to presenting integrated math topics. Throughout the text, the authors weave together themes of logic, geometry, number sense, probability, and trigonometry at increasing levels of sophistication, enabling students to see mathematics as a unified subject.
Book Synopsis Integrating Math and Science in Early Childhood Classrooms Through Big Ideas by : Christine Chaillé
Download or read book Integrating Math and Science in Early Childhood Classrooms Through Big Ideas written by Christine Chaillé and published by . This book was released on 2015-01-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrating Math and Science in Early Childhood Classrooms Through Big Ideas offers teachers a way to think about the future classroom and to meet the needs of children who come to into it with diverse experience, knowledge, and abilities. "Change how we think about math and science for young children," the authors say in their Preface. "Instead of separating the disciplines, planning lessons and topics and projects aimed at math OR science content, let's look at the world the way the child does. Children think in terms of big ideas." In this unique book, the authors focus on big ideas-like patterns, transformation, movement, balance, and relationships-as a way to think about content, and they integrate science and mathematics through these big ideas, rather than linking them topically. The book looks at why it is important to think about thinking, introduces assessment early to help the teacher plan for assessment before teaching even begins, and sets up an environment that will support the construction of the big ideas that integrate math and science. Real-life scenarios provide invaluable insights into the teacher's thinking and planning, and each chapter includes two modules to be used for in-depth exploration of different aspects of the big ideas. It's a unique exploration of thinking and learning. The First Edition of Integrating Math and Science in Early Childhood Classrooms Through Big Ideas includes: Show future teachers why it is important to think about thinking. The first part of the book looks at this new way of teaching--the underlying framework of big ideas as a way to integrate math and science. Help students plan for assessment before teaching begins. Chapter 2 provides the knowledge needed in this critical area of teaching. Help students construct meaningful understandings of how math and science can be integrated through the big ideas that form the structure for any curriculum. Engage students in classroom experiences through real-life scenarios, illustrations, and photos. Introduce students to the ideas that form the foundation of a well-integrated curriculum. In an engaging style, the book is laid out to support real-life planning in a classroom.