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Author: Edward Hurst Publisher: Springer Science & Business Media ISBN: 1848002904 Category : Mathematics Languages : en Pages : 347
Book Description
Helps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete. A range of exercises, complete with full solutions, makes the book ideal for self-study.
Author: Edward Hurst Publisher: Springer Science & Business Media ISBN: 1848002904 Category : Mathematics Languages : en Pages : 347
Book Description
Helps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete. A range of exercises, complete with full solutions, makes the book ideal for self-study.
Author: Colin McGregor Publisher: Elsevier ISBN: 0857092243 Category : Mathematics Languages : en Pages : 564
Book Description
The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems.The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. One volume, unified treatment of essential topics Clearly and comprehensively covers material beyond standard textbooks Worked examples, challenges and exercises throughout
Author: H. W. Wyld Publisher: CRC Press ISBN: 0429978642 Category : Science Languages : en Pages : 296
Book Description
This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
Author: Bradley S. Witzel Publisher: Council For Exceptional Children ISBN: 0865865086 Category : Education Languages : en Pages : 200
Book Description
Although two federal panels have concluded that all students can learn mathematics and most can succeed through Algebra 2, the abstractness of algebra and missing precursor understandings may be overwhelming to many students … and their teachers. Bridging the Gap Between Arithmetic & Algebra responds to this need for instruction and interventions that go beyond typical math lesson plans. Providing a review of evidence-based practices, the book is an essential reference for mathematics teachers and special education teachers when teaching mathematics to students who struggle with the critical concepts and skills necessary for success in algebra. Audiences: General education (mathematics) teachers, special education teachers, administrators, teacher educators.
Author: Page Keeley Publisher: Corwin Press ISBN: 1483351793 Category : Education Languages : en Pages : 257
Book Description
"This book addresses the needs of teachers at every level in their teaching careers, as well as those who support and work with teachers. The processes can be used individually to guide professional learning and teaching, or within almost any professional development structure for facilitating group learning. " -Katherine E. Stiles, Senior Program Associate, WestEd "This resource supports continual professional growth of both content and pedagogical knowledge and will help teachers focus on the appropriate research. What a time saver this is!" -Rhonda Naylor, National Board Certified Mathematics Teacher Campus Middle School, Englewood, CO Attain the tools to plan and incorporate standards-based instruction that positively impacts student achievement! Becoming an accomplished mathematics teacher requires not only a thorough understanding of content, but also a familiarity with mathematics standards and research. However, a strategy for translating standards and research into instructional practice has been lacking since the advent of standards-based education reform. Mathematics Curriculum Topic Study provides a systematic professional development strategy that links mathematics standards and research to curriculum, instruction, and assessment. Developed by authors Page Keeley and Cheryl M. Rose of the Maine Mathematics and Science Alliance, the NSF-funded Curriculum Topic Study (CTS) process can help educators align their practice with research-based concepts and skills required in local, state, and national standards. Successfully field-tested with hundreds of teachers, mathematics coordinators, and staff developers, this book contains 92 ready-to-use CTS guides arranged in seven categories that are aligned with NCTM content and process standards. Designed to work in a variety of contexts, the CTS process will help teachers: Increase their content and pedagogical knowledge Better understand and access mathematics research Translate standards to the classroom in a conscious, scholarly way Learn to recognize and address learning difficulties Increase opportunities for all students to achieve mathematical literacy An essential investment toward improving student achievement in mathematics for K-12 teachers, staff developers, directors of curriculum, department chairs and math educators, this innovative resource is also appropriate for preservice teachers and preservice higher education faculty.
Author: Joseph E. Gaugler Publisher: Academic Press ISBN: 0128138998 Category : Psychology Languages : en Pages : 498
Book Description
Bridging the Family Care Gap explores expected future shortages of family caregivers of older persons and identifies potential solutions. The book examines the sustainability and availability of care management models and whether they can be effectively scaled up to meet community needs. It identifies newly emerging policy initiatives at local, state, and federal levels. The book addresses the state of family caregiving science, dissemination and implementation of promising programs and supports, technological innovations, and other strategies to offset the family care gap. This edited volume also explores lay healthcare workers as guides, interpreters, and advocates in healthcare systems that provide continuity of contact for family caregivers. Details threats to family caregiving-sociodemographic, chronic disease, and socioeconomic challenges Presents solutions to the caregiving gap in a systematic, synthesized manner Addresses the intersection of family caregiving and technology Discusses chronic disease management to offset and reduce the need for family caregiving Describes models of caregiver support in work settings Reimagines the delivery of long-term services and supports with novel initiatives
Author: Caroline B. Ebby Publisher: Routledge ISBN: 1000220931 Category : Education Languages : en Pages : 245
Book Description
This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K–3. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A focus on the OGAP Addition, Subtraction, and Base Ten Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; An accompanying eResource, available online, offers an answer key to Looking Back questions, as well as a copy of the OGAP Additive Framework and the OGAP Number Line Continuum. A Focus on Addition and Subtraction marks the fourth installment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
Author: Bettina Richmond Publisher: American Mathematical Society ISBN: 147047204X Category : Mathematics Languages : en Pages : 540
Book Description
This textbook bridges the gap between lower-division mathematics courses and advanced mathematical thinking. Featuring clear writing and appealing topics, the book introduces techniques for writing proofs in the context of discrete mathematics. By illuminating the concepts behind techniques, the authors create opportunities for readers to sharpen critical thinking skills and develop mathematical maturity. Beginning with an introduction to sets and logic, the book goes on to establish the basics of proof techniques. From here, chapters explore proofs in the context of number theory, combinatorics, functions and cardinality, and graph theory. A selection of extension topics concludes the book, including continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio. A Discrete Transition to Advanced Mathematics is suitable for an introduction to proof course or a course in discrete mathematics. Abundant examples and exercises invite readers to get involved, and the wealth of topics allows for course customization and further reading. This new edition has been expanded and modernized throughout. New features include a chapter on combinatorial geometry, a more in-depth treatment of counting, and over 365 new exercises.
Author: Edward Hurst
Author: Edward Hurst
Author: Colin McGregor
Author: H. W. Wyld
Author: Bradley S. Witzel
Author: Timothy J. Ross
Author: Page Keeley
Author: Joseph E. Gaugler
Author: Caroline B. Ebby
Author: Guerino Mazzola
Author: Bettina Richmond