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This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics. Computer projects are given when appropriate, including BASIC, spreadsheets, computer algebra systems, and computer-assisted drafting. The graphing calculator has been fully integrated and calculator screens are given to introduce computations. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.
Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its value in the mathematical community. The writing is expository, not technical, and should be accessible and informative to a diverse audience. The primary readership includes all those in departments of mathematical sciences in two or four year colleges and universities, and their administrators, as well as graduate students. Researchers in education may also find topics of interest. Other potential readers include those doing work in mathematics education in schools of education, and teachers of secondary or middle school mathematics as well as those involved in their professional development.
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.
This unique book tells the story of a select group of schools and teachers who have managed to beat the odds in terms of improving elementary students reading achievement. Originating with the CIERA School Change Project directed by Barbara Taylor and David Pearson, it was subsequently expanded to include the work of other research teams doing similar work. It combines large scale studies of effective schools and teachers (Part I) with case studies of individual schools and teachers who have successfully transformed research findings into situation-specific strategies appropriate to their schools and classrooms (Parts II and III). The book's distinct contribution is showing that no matter how consistent the research findings on effective school and classroom practice, groups of teachers must improvise their own situation-specific programs and practices. In short, they must be able to create variations on a common theme. Key features of this outstanding new volume include: *Integration of research and cases--One cannot fully understand research-based general principles without knowing how they play themselves out in specific settings. Similarly, one cannot fully understand cases without seeing the commonalities across different schools and classrooms sharing similar goals. This book provides both perspectives. *Diverse cases--The schools and classrooms depicted in this book are urban, rural, and suburban; poor and middle class; and English-only and bilingual. Rather than telling readers how to beat the odds, it provides them with a wide variety of cases from which they can extrapolate to build their own customized teaching programs and practices. *Summarizing section--The final section contains a summary of research on effective schools and teachers and a concluding chapter by Gerry Duffy and Jim Hoffman in which they reflect on the book's content and possible directions for future research. The book is targeted to both in-service elementary teachers and literacy students in advanced college courses.