Download or read book Prealgebra 2e written by Lynn Marecek and published by . This book was released on 2020-03-11 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.

Download or read book Standards based School Mathematics Curricula written by Sharon L. Senk and published by Routledge. This book was released on 2020-07-24 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curriculum and Evaluation Standards for School Mathematics published by the National Council of Teachers of Mathematics in 1989 set forth a broad vision of mathematical content and pedagogy for grades K-12 in the United States. These Standards prompted the development of Standards-based mathematics curricula. What features characterize Standards-based curricula? How well do such curricula work? To answer these questions, the editors invited researchers who had investigated the implementation of 12 different Standards-based mathematics curricula to describe the effects of these curricula on students' learning and achievement, and to provide evidence for any claims they made. In particular, authors were asked to identify content on which performance of students using Standards-based materials differed from that of students using more traditional materials, and content on which performance of these two groups of students was virtually identical. Additionally, four scholars not involved with the development of any of the materials were invited to write critical commentaries on the work reported in the other chapters. Section I of Standards-Based School Mathematics Curricula provides a historical background to place the current curriculum reform efforts in perspective, a summary of recent recommendations to reform school mathematics, and a discussion of issues that arise when conducting research on student outcomes. Sections II, III, and IV are devoted to research on mathematics curriculum projects for elementary, middle, and high schools, respectively. The final section is a commentary by Jeremy Kilpatrick, Regents Professor of Mathematics Education at the University of Georgia, on the research reported in this book. It provides a historical perspective on the use of research to guide mathematics curriculum reform in schools, and makes additional recommendations for further research. In addition to the references provided at the end of each chapter, other references about the Standards-based curriculum projects are provided at the end of the book. This volume is a valuable resource for all participants in discussions about school mathematics curricula--including professors and graduate students interested in mathematics education, curriculum development, program evaluation, or the history of education; educational policy makers; teachers; parents; principals and other school administrators. The editors hope that the large body of empirical evidence and the thoughtful discussion of educational values found in this book will enable readers to engage in informed civil discourse about the goals and methods of school mathematics curricula and related research.

Download or read book Time Dependent CP Violation Measurements written by Markus Röhrken and published by Springer Science & Business Media. This book was released on 2013-10-17 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis describes a high-quality, high-precision method for the data analysis of an interesting elementary particle reaction. The data was collected at the Japanese B-meson factory KEKB with the Belle detector, one of the most successful large-scale experiments worldwide. CP violation is a subtle quantum effect that makes the world look different when simultaneously left and right and matter and antimatter are exchanged. This being a prerequisite for our own world to have developed from the big bang, there are only a few experimental indications of such effects, and their detection requires very intricate techniques. The discovery of CP violation in B meson decays garnered Kobayashi and Maskawa, who had predicted these findings as early as 1973, the 2008 Nobel prize in physics. This thesis describes in great detail what are by far the best measurements of branching ratios and CP violation parameters in two special reactions with two charm mesons in the final state. It presents an in-depth but accessible overview of the theory, phenomenology, experimental setup, data collection, Monte Carlo simulations, (blind) statistical data analysis, and systematic uncertainty studies.

Download or read book Probability Measure on Groups VII written by H. Heyer and published by Springer. This book was released on 2006-11-14 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Reflections on Statistics written by Susanne P. Lajoie and published by Routledge. This book was released on 2012-10-12 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: An issue in the current push for reform in mathematics education is the call to address statistics at the precollege level. This volume represents the emerging findings of an interdisciplinary collaboration among a group of mathematics educators, cognitive scientists, teachers, and statisticians to construct an understanding of how to introduce statistics education and assessment for students in elementary and secondary schools. A premise shared by the contributors to this volume is that when students are introduced to statistics at the K-12 level and provided with opportunities to do statistics that are related to actual life situations, they will be better prepared for decision making in the real world. The interdisciplinary nature of the group of researchers stimulated a lively interchange of ideas for enhancing the learning, teaching, and assessment of statistical understanding, which is reflected in this volume. Mathematics educators contribute their insights into how teachers teach mathematical ideas and heighten our awareness of the ecological needs of the current mathematics classroom. Cognitive scientists share their understanding of developmental differences in learning and present theoretical perspectives that contribute to the design of effective learning environments. Classroom teachers share their ideas about classroom activities and assessment of student learning, as well as their concerns for in-service training and workshops to help teachers acquire skills in this new content area. Statisticians offer their understanding of what is feasible to teach in the early grades, and what their view is of statistical literacy. The book is organized around four interdependent themes: content, teaching, learning, and assessment. By focusing their respective chapters on particular themes, the authors intend to cultivate a better understanding of how each relates to improvements in statistics education. This is the first book to: * address statistics learning in grades K-12, * address issues of statistical curriculum content in grades K-12, * address issues of assessment of statistics learning in grades K-12, * bring issues of technology instruction and assessment in statistics education in grades K-12, and * look at teacher education for statistics instruction in grades K-12. This is a must-read book for both practitioners and researchers involved in K-12 mathematics education.

Download or read book A Profile of American Eighth grade Mathematics and Science Instruction written by Laura Horn and published by Claitor's Pub Division. This book was released on 1992 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The National Education Longitudinal Study of 1988 (NELS:88) is the third in a series of longitudinal studies sponsored by the National Center for Education Statistics. This report profiles the mathematics and science instruction received by eighth graders (11,414 surveyed in mathematics and 10,686 in science) in public and private schools in 1988 and proposes to trace the participants into the 10th and 12th grades. A preface lists highlighted findings, tables, and figures included in the document. The body of the report consists of five chapters. Chapter I discusses the purpose and format of the report and limitations of the study. Chapters II and III examine the relationship of various aspects of mathematics and science instruction to students' socioeconomic status and race-ethnicity and type of school attended. Among the aspects examined were the major topics taught, average class size, hours per week attended, allocation of class time, assigned homework, availability of instructional materials, student attitudes toward mathematics and science, and teacher characteristics and qualifications. Chapter IV examines mathematics and science achievement test scores in relation to the various components of instruction measured in the study. Chapter V provides a descriptive profile of the mathematics curriculum, the science curriculum, teacher characteristics and qualifications, classroom characteristics, school type differences, and students' opportunity to learn based on the findings. Appendices that describe the methodology employed and standard errors of estimates reported in tables and figures in the text are provided. (MDH)

Download or read book Guide to Math Materials written by Phyllis J. Perry and published by Bloomsbury Publishing USA. This book was released on 1997-02-15 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now it's easy to locate the materials you need to implement the new NCTM math standards. Organized by such math topics as problem solving, estimation, number sense and numeration, and geometry and spatial relationships, this book shows users where to find manipulatives and materials, such as attribute blocks, pattern blocks, clocks, scales, multilink cubes and prisms, calculators, and sorting toys. It also lists specialized math books, computer software, and a host of other learning materials (e.g., activity cards, puzzles, posters, games, reproducibles). The author briefly describes each product, cites grade level when given, and explains possible applications. Products of exceptional quality and value are highlighted, and the addresses of publishers and suppliers are given. A real time-saver! Grades K-4.

Download or read book Optimal State Estimation written by Dan Simon and published by John Wiley & Sons. This book was released on 2006-06-19 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bottom-up approach that enables readers to master and apply the latest techniques in state estimation This book offers the best mathematical approaches to estimating the state of a general system. The author presents state estimation theory clearly and rigorously, providing the right amount of advanced material, recent research results, and references to enable the reader to apply state estimation techniques confidently across a variety of fields in science and engineering. While there are other textbooks that treat state estimation, this one offers special features and a unique perspective and pedagogical approach that speed learning: * Straightforward, bottom-up approach begins with basic concepts and then builds step by step to more advanced topics for a clear understanding of state estimation * Simple examples and problems that require only paper and pen to solve lead to an intuitive understanding of how theory works in practice * MATLAB(r)-based source code that corresponds to examples in the book, available on the author's Web site, enables readers to recreate results and experiment with other simulation setups and parameters Armed with a solid foundation in the basics, readers are presented with a careful treatment of advanced topics, including unscented filtering, high order nonlinear filtering, particle filtering, constrained state estimation, reduced order filtering, robust Kalman filtering, and mixed Kalman/H? filtering. Problems at the end of each chapter include both written exercises and computer exercises. Written exercises focus on improving the reader's understanding of theory and key concepts, whereas computer exercises help readers apply theory to problems similar to ones they are likely to encounter in industry. With its expert blend of theory and practice, coupled with its presentation of recent research results, Optimal State Estimation is strongly recommended for undergraduate and graduate-level courses in optimal control and state estimation theory. It also serves as a reference for engineers and science professionals across a wide array of industries.

Download or read book Common Core Standards For Parents For Dummies written by Jared Myracle and published by John Wiley & Sons. This book was released on 2014-03-03 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: A parent's guide to understanding the Common Core educational standards Designed to ensure a similar level of job and college preparedness for students from all backgrounds and regions, the Common Core standards have been adopted in 45 states from coast to coast. These new common standards are designed to bring many diverse state standards into alignment with each other in math and English to create a set of national educational standards. Common Core Standards For Parents For Dummies explains this new set of standards, what it means for students, and how parents can get their children prepared for the school year. Explains what changes to expect in the classroom Includes a grade-by-grade explanation of the new math and English standards Provides tips and exercises for helping students succeed For parents who want to help their kids excel at school, Common Core Standards For Parents For Dummies is a handy, straightforward guide that explains everything they need to know.

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Download or read book Probability and Measure written by Patrick Billingsley and published by John Wiley & Sons. This book was released on 2017 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its new third edition, Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Retaining the unique approach of the previous editions, this text interweaves material on probability and measure, so that probability problems generate an interest in measure theory and measure theory is then developed and applied to probability. Probability and Measure provides thorough coverage of probability, measure, integration, random variables and expected values, convergence of distributions, derivatives and conditional probability, and stochastic processes. The Third Edition features an improved treatment of Brownian motion and the replacement of queuing theory with ergodic theory.· Probability· Measure· Integration· Random Variables and Expected Values· Convergence of Distributions· Derivatives and Conditional Probability· Stochastic Processes

Download or read book SAT Test Excellerator in Mathematics written by Instructivision, Incorporated and published by Instructivision. This book was released on 2005 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Measuring Statistical Evidence Using Relative Belief written by Michael Evans and published by CRC Press. This book was released on 2015-06-23 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of recent work on developing a theory of statistical inference based on measuring statistical evidence. It attempts to establish a gold standard for how a statistical analysis should proceed. The book illustrates relative belief theory using many examples and describes the strengths and weaknesses of the theory. The author also addresses fundamental statistical issues, including the meaning of probability, the role of subjectivity, the meaning of objectivity, and the role of infinity and continuity.

Download or read book CONTINUED FRACTIONS written by Haakon Waadeland and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continued Fractions consists of two volumes — Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given. This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient.

Download or read book Learning Pathways within the Multiplicative Conceptual Field written by Caroline Long and published by Waxmann Verlag. This book was released on 2015 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transition from whole numbers to rational numbers and the associated mastery of the multiplicative conceptual field constitute an important development in lower secondary schooling. This study draws primarily on the theory of conceptual fields as a framework that is mathematical and enables a cognitive perspective by identifying the concepts- and theorems-in-action that lead to underlying concepts and theorems. Application of the Rasch model configures the location of both item difficulty and learner proficiency on one scale. Diagnostics explore the validity of the instrument for measurement. The ordering of items enables the analysis of hierarchical conceptual strands and additional insights into the mastery of concepts by subsets of learners at particular levels. The resulting matrix, of interactions of learner proficiency and item complexity, provides an overview of the concepts attained and not yet mastered. These insights permit teacher interventions specific to each learner subset at a shared common current zone of proximal development along the scale. Caroline Long has received her doctorate in Mathematics Education from the University of Cape Town in 2011 and is Senior Lecturer in the Faculty of Education at the University of Pretoria, where she is responsible for teaching mathematics education courses, and modules on assessment. She is also Deputy Director at the Centre for Evaluation and Assessment. Her primary research foci are mathematics education, professional development, teacher agency and assessment. Current work relies on collaboration with researchers at other South African institutions, and in Australia, Canada, England, Germany, India, the Netherlands, Scotland and the USA.

Download or read book Continued Fractions written by Lisa Lorentzen and published by atlantis press. This book was released on 2008 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continued Fractions consists of two volumes -- Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given.This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient.

Download or read book Trauma Psychosis and Posttraumatic Stress Disorder written by Kate V. Hardy and published by Frontiers Media SA. This book was released on 2017-12-21 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is abundant evidence showing a strong association between trauma exposure, psychotic symptoms, and posttraumatic stress disorder (PTSD). Early trauma exposure contributes to the formation of psychotic symptoms and the development of psychotic disorders or severe mental illnesses such as schizophrenia, bipolar disorder, and treatment-refractory major depression. Furthermore, among persons with psychotic disorders, multiple traumatization over the lifetime is common, due to factors such as social stigma, the criminalization of severe mental illness, and increased vulnerability to interpersonal victimization. In addition to these factors is the traumatic nature of experiencing psychotic symptoms and coercive treatments such as involuntary hospitalization and being placed in seclusion or restraints. Not surprisingly, these high rates of trauma lead to high rates of PTSD in people with psychotic disorders, which are associated with more severe symptoms, worse functioning, and greater use of acute care services. In addition to the impact of trauma on the development of psychotic disorders and comorbid PTSD, traumatic experiences such as childhood sexual and physical abuse can shape the nature of prominent psychotic symptoms such as the content of auditory hallucinations and delusional beliefs. Additionally, traumatic experiences have been implicated in the role of ‘stress responsivity’ and increased risk for transition to psychosis in those identified as being at clinical high risk of developing psychosis. Finally, although the diagnostic criteria for PTSD primarily emphasize the effects of trauma on anxiety, avoidance, physiological over-arousal, and negative thoughts, it is well established that PTSD is frequently accompanied by psychotic symptoms such as hallucinations and delusions that cannot be attributed to another DSM-V Axis I disorder such as psychotic depression or schizophrenia. Understanding the contribution of traumatic experiences to the etiology of psychosis and other symptoms can inform the provision of cognitive behavioral therapy for psychosis, including the development of a shared formulation of the events leading up to the onset of the disorder, as well as other trauma-informed treatments that address distressing and disabling symptoms associated with trauma and psychosis. Until recently the trauma treatment needs of this population have been neglected, despite the high rates of trauma and PTSD in persons with psychotic disorders, and in spite of substantial gains made in the treatment of PTSD in the general population. Fortunately, progress in recent years has provided encouraging evidence that PTSD can be effectively treated in people with psychotic disorders using interventions adapted from PTSD treatments developed for the general population. In contrast to clinician fears about the untoward effects of trauma-focused treatments on persons with a psychotic disorder, research indicates that post-traumatic disorders can be safely treated, and that participants frequently experience symptom relief and improved functioning. There is a need to develop a better understanding of the interface between trauma, psychosis, and post-traumatic disorder. This Frontiers Research Topic is devoted to research addressing this interface.