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Book Mathematics Assessment and Evaluation

Download or read book Mathematics Assessment and Evaluation written by Thomas A. Romberg and published by SUNY Press. This book was released on 1992-01-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are current testing practices consistent with the goals of the reform movement in school mathematics? If not, what are the alternatives? How can authentic performance in mathematics be assessed? These and similar questions about tests and their uses have forced those advocating change to examine the way in which mathematical performance data is gathered and used in American schools. This book provides recent views on the issues surrounding mathematics tests, such as the need for valid performance data, the implications of the Curriculum and Evaluation Standards for School Mathematics for test development, the identification of valid items and tests in terms of the Standards, the procedures now being used to construct a sample of state assessment tests, gender differences in test taking, and methods of reporting student achievement.

Book The Number Sense

    Book Details:
  • Author : Stanislas Dehaene
  • Publisher : OUP USA
  • Release : 2011-04-29
  • ISBN : 0199753873
  • Pages : 339 pages

Download or read book The Number Sense written by Stanislas Dehaene and published by OUP USA. This book was released on 2011-04-29 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind"--Provided by publisher.

Book The Crest of the Peacock

Download or read book The Crest of the Peacock written by George Gheverghese Joseph and published by Penguin Group. This book was released on 1992 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book How Learning Works

    Book Details:
  • Author : Susan A. Ambrose
  • Publisher : John Wiley & Sons
  • Release : 2010-04-16
  • ISBN : 0470617608
  • Pages : 336 pages

Download or read book How Learning Works written by Susan A. Ambrose and published by John Wiley & Sons. This book was released on 2010-04-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for How Learning Works "How Learning Works is the perfect title for this excellent book. Drawing upon new research in psychology, education, and cognitive science, the authors have demystified a complex topic into clear explanations of seven powerful learning principles. Full of great ideas and practical suggestions, all based on solid research evidence, this book is essential reading for instructors at all levels who wish to improve their students' learning." —Barbara Gross Davis, assistant vice chancellor for educational development, University of California, Berkeley, and author, Tools for Teaching "This book is a must-read for every instructor, new or experienced. Although I have been teaching for almost thirty years, as I read this book I found myself resonating with many of its ideas, and I discovered new ways of thinking about teaching." —Eugenia T. Paulus, professor of chemistry, North Hennepin Community College, and 2008 U.S. Community Colleges Professor of the Year from The Carnegie Foundation for the Advancement of Teaching and the Council for Advancement and Support of Education "Thank you Carnegie Mellon for making accessible what has previously been inaccessible to those of us who are not learning scientists. Your focus on the essence of learning combined with concrete examples of the daily challenges of teaching and clear tactical strategies for faculty to consider is a welcome work. I will recommend this book to all my colleagues." —Catherine M. Casserly, senior partner, The Carnegie Foundation for the Advancement of Teaching "As you read about each of the seven basic learning principles in this book, you will find advice that is grounded in learning theory, based on research evidence, relevant to college teaching, and easy to understand. The authors have extensive knowledge and experience in applying the science of learning to college teaching, and they graciously share it with you in this organized and readable book." —From the Foreword by Richard E. Mayer, professor of psychology, University of California, Santa Barbara; coauthor, e-Learning and the Science of Instruction; and author, Multimedia Learning

Book History in Mathematics Education

Download or read book History in Mathematics Education written by John Fauvel and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.

Book The Pea and the Sun

    Book Details:
  • Author : Leonard M. Wapner
  • Publisher : CRC Press
  • Release : 2005-04-29
  • ISBN : 1439864845
  • Pages : 233 pages

Download or read book The Pea and the Sun written by Leonard M. Wapner and published by CRC Press. This book was released on 2005-04-29 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

Book Reform in School Mathematics and Authentic Assessment

Download or read book Reform in School Mathematics and Authentic Assessment written by Thomas A. Romberg and published by SUNY Press. This book was released on 1995-01-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today new ways of thinking about learning call for new ways for monitoring learning. Reform in School Mathematics builds from the vision that assessment can become the bridge for instructional activity, accountability, and teacher development. It places teachers in key roles while developing the theme that we cannot reform the way in which school mathematics is taught without radically reforming the ways the effects of that teaching are monitored. Among others, this volume addresses the issues of the specification of performance standards, the development of authentic tasks, the measure of status and growth or a combination, the development of psychometric models, and the development of scoring rubrics. The new models proposed in this book give teachers a wealth of nontraditional assessment strategies and concrete ways to obtain measures of both group and individual differences in growth.

Book On Their Own Terms

    Book Details:
  • Author : Benjamin A. Elman
  • Publisher : Harvard University Press
  • Release : 2009-07-01
  • ISBN : 0674036476
  • Pages : 606 pages

Download or read book On Their Own Terms written by Benjamin A. Elman and published by Harvard University Press. This book was released on 2009-07-01 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: In On Their Own Terms, Benjamin A. Elman offers a much-needed synthesis of early Chinese science during the Jesuit period (1600-1800) and the modern sciences as they evolved in China under Protestant influence (1840s-1900). By 1600 Europe was ahead of Asia in producing basic machines, such as clocks, levers, and pulleys, that would be necessary for the mechanization of agriculture and industry. In the seventeenth and eighteenth centuries, Elman shows, Europeans still sought from the Chinese their secrets of producing silk, fine textiles, and porcelain, as well as large-scale tea cultivation. Chinese literati borrowed in turn new algebraic notations of Hindu-Arabic origin, Tychonic cosmology, Euclidian geometry, and various computational advances. Since the middle of the nineteenth century, imperial reformers, early Republicans, Guomindang party cadres, and Chinese Communists have all prioritized science and technology. In this book, Elman gives a nuanced account of the ways in which native Chinese science evolved over four centuries, under the influence of both Jesuit and Protestant missionaries. In the end, he argues, the Chinese produced modern science on their own terms.

Book Helping Children Learn Mathematics

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.

Book Basic Methods of Policy Analysis and Planning

Download or read book Basic Methods of Policy Analysis and Planning written by Carl Patton and published by Routledge. This book was released on 2015-08-26 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated in its 3rd edition, Basic Methods of Policy Analysis and Planning presents quickly applied methods for analyzing and resolving planning and policy issues at state, regional, and urban levels. Divided into two parts, Methods which presents quick methods in nine chapters and is organized around the steps in the policy analysis process, and Cases which presents seven policy cases, ranging in degree of complexity, the text provides readers with the resources they need for effective policy planning and analysis. Quantitative and qualitative methods are systematically combined to address policy dilemmas and urban planning problems. Readers and analysts utilizing this text gain comprehensive skills and background needed to impact public policy.

Book Curriculum and Evaluation Standards for School Mathematics

Download or read book Curriculum and Evaluation Standards for School Mathematics written by National Council of Teachers of Mathematics. Commission on Standards for School Mathematics and published by National Council of Teachers of Mathematics. This book was released on 1989 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curriculum standards for mathematics for grades K-4, 5-8, and 9-12 are presented which suggest areas of instructional emphasis for specific student outcomes. Also discusses evaluation standards for both the curriculum and student achievement. K-12.

Book Schools of Thought

    Book Details:
  • Author : Rexford Brown
  • Publisher : Jossey-Bass
  • Release : 1993-08-10
  • ISBN :
  • Pages : 322 pages

Download or read book Schools of Thought written by Rexford Brown and published by Jossey-Bass. This book was released on 1993-08-10 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a result of his visits to classrooms across the nation, Brown has compiled an engaging, thought-provoking collection of classroom vignettes which show the ways in which national, state, and local school politics translate into changed classroom practices. "Captures the breadth, depth, and urgency of education reform".--Bill Clinton.

Book Prime Obsession

    Book Details:
  • Author : John Derbyshire
  • Publisher : Joseph Henry Press
  • Release : 2003-04-15
  • ISBN : 0309141257
  • Pages : 447 pages

Download or read book Prime Obsession written by John Derbyshire and published by Joseph Henry Press. This book was released on 2003-04-15 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.

Book Number Talks

    Book Details:
  • Author : Sherry Parrish
  • Publisher : Math Solutions
  • Release : 2010
  • ISBN : 1935099116
  • Pages : 434 pages

Download or read book Number Talks written by Sherry Parrish and published by Math Solutions. This book was released on 2010 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A multimedia professional learning resource"--Cover.

Book Mathematical Cognition

Download or read book Mathematical Cognition written by James M. Royer and published by IAP. This book was released on 2003-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Women Succeeding in the Sciences

Download or read book Women Succeeding in the Sciences written by Jody Bart and published by Purdue University Press. This book was released on 2000 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ample evidence has been provided that women historically have suffered numerous social, political, and institutional barriers to their entrance and success in the sciences. The articles in this anthology refocus the discussion and reflect the interdisciplinary nature of the issues surrounding women in the sciences. While the barriers that women have faced as researchers, subjects of research, students of science, and theorists have been well documented, this anthology breaks new ground. It presents the ways women succeed in the sciences, overcome these historical barriers, and contribute to the social practice of science and the philosophy of science in both theory and practice.