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A middle school math program consisting of three courses: course 1 focuses on numerical reasoning; course two focuses on proportional reasoning;; course 3 focuses on algebraic reasoning.
With the publication of the National Science Education Standards and the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards for School Mathematics, a clear set of goals and guidelines for achieving literacy in mathematics and science was established. Designing Mathematics or Science Curriculum Programs has been developed to help state- and district-level education leaders create coherent, multi-year curriculum programs that provide students with opportunities to learn both mathematics and science in a connected and cumulative way throughout their schooling. Researchers have confirmed that as U.S. students move through the grade levels, they slip further and further behind students of other nations in mathematics and science achievement. Experts now believe that U.S. student performance is hindered by the lack of coherence in the mathematics and science curricula in many American schools. By structuring curriculum programs that capitalize on what students have already learned, the new concepts and processes that they can learn will be richer, more complex, and at a higher level. Designing Mathematics or Science Curriculum Programs outlines: Components of effective mathematics and science programs. Criteria by which these components can be judged. A process for developing curriculum that is structured, focused, and coherent. Perhaps most important, this book emphasizes the need for designing curricula across the entire 13-year span that our children spend in elementary and secondary school as a way to improve the quality of education. Ultimately, it will help state and district educators use national and state standards to design or re-build mathematics and science curriculum programs that develop new ideas and skills based on earlier onesâ€"from lesson to lesson, unit to unit, year to year. Anyone responsible for designing or influencing mathematics or science curriculum programs will find this guide valuable.
This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.
Since the early twentieth century, American educators have been engaged in a heated debate over what schools should teach and how they should teach it. The partisans—"education progressives" and "education traditionalists"—have usually kept their disagreements within the walls of the nation's schools of education. Periodically, however, arguments have erupted which have generated headlines and attracted public attention, making clear the potential for bitterness and rancor in education politics. In the 1990s, progressives and traditionalists squared off in a dispute over reading and mathematics. Arguments over how best to teach these two subjects is detailed in The Great Curriculum Debate: How Should We Teach Reading and Math? This book includes contributions from distinguished scholars from both sides of the debate, as well as influential nonpartisans. The proponents of "whole language" and "phonics" present their opposing views on reading. Advocates and opponents of "NCTM math reform"—the agenda of the National Council of Teachers of Mathematics (NCTM)—discuss their differing opinions about math. Although the authors disagree on many of the most important aspects of learning, they agree on one point: the school curriculum matters. Decisions made now about the content of reading and mathematics will have long term consequences, not only for students and schools, but for society as a whole. Contributors include E. D. Hirsch Jr. (University of Virginia), Gail Burrill (Mathematical Sciences Education Board), Michael T. Battista (Kent State University), David C. Geary (University of Missouri, Columbia), Roger Shouse (Penn State University), Adam Gamoran (University of Wisconsin, Madison), Richard Askey (University of Wisconsin, Madison), Diane Ravitch (New York University), Catherine E. Snow (Harvard University), Margaret Moustafa (California State University, LA), Richard L. Allington (University of Florida), William Lowe Boyd (Penn State University), a
Education is a hot topic. From the stage of presidential debates to tonight's dinner table, it is an issue that most Americans are deeply concerned about. While there are many strategies for improving the educational process, we need a way to find out what works and what doesn't work as well. Educational assessment seeks to determine just how well students are learning and is an integral part of our quest for improved education. The nation is pinning greater expectations on educational assessment than ever before. We look to these assessment tools when documenting whether students and institutions are truly meeting education goals. But we must stop and ask a crucial question: What kind of assessment is most effective? At a time when traditional testing is subject to increasing criticism, research suggests that new, exciting approaches to assessment may be on the horizon. Advances in the sciences of how people learn and how to measure such learning offer the hope of developing new kinds of assessments-assessments that help students succeed in school by making as clear as possible the nature of their accomplishments and the progress of their learning. Knowing What Students Know essentially explains how expanding knowledge in the scientific fields of human learning and educational measurement can form the foundations of an improved approach to assessment. These advances suggest ways that the targets of assessment-what students know and how well they know it-as well as the methods used to make inferences about student learning can be made more valid and instructionally useful. Principles for designing and using these new kinds of assessments are presented, and examples are used to illustrate the principles. Implications for policy, practice, and research are also explored. With the promise of a productive research-based approach to assessment of student learning, Knowing What Students Know will be important to education administrators, assessment designers, teachers and teacher educators, and education advocates.
Since 1989, with the publication of Curriculum and Evaluation Standards for Mathematics by the National Council of Teachers of Mathematics, standards have been at the forefront of the education reform movement in the United States. The mathematics standards, which were revised in 2000, have been joined by standards in many subjects, including the National Research Council's National Science Education Standards published in 1996 and the Standards for Technical Literacy issued by the International Technology Education Association in 2000. There is no doubt that standards have begun to influence the education system. The question remains, however, what the nature of that influence is and, most importantly, whether standards truly improve student learning. To answer those questions, one must begin to examine the ways in which components of the system have been influenced by the standards. Investigating the Influence of Standards provides a framework to guide the design, conduct, and interpretation of research regarding the influences of nationally promulgated standards in mathematics, science, and technology education on student learning. Researchers and consumers of research such as teachers, teacher educators, and administrators will find the framework useful as they work toward developing an understanding of the influence of standards.
The issues surrounding the comparability of various tests used to assess performance in schools received broad public attention during congressional debate over the Voluntary National Tests proposed by President Clinton in his 1997 State of the Union Address. Proponents of Voluntary National Tests argue that there is no widely understood, challenging benchmark of individual student performance in 4th-grade reading and 8th-grade mathematics, thus the need for a new test. Opponents argue that a statistical linkage among tests already used by states and districts might provide the sort of comparability called for by the president's proposal. Public Law 105-78 requested that the National Research Council study whether an equivalency scale could be developed that would allow test scores from existing commercial tests and state assessments to be compared with each other and with the National Assessment of Education Progress. In this book, the committee reviewed research literature on the statistical and technical aspects of creating valid links between tests and how the content, use, and purposes of education testing in the United States influences the quality and meaning of those links. The book summarizes relevant prior linkage studies and presents a picture of the diversity of state testing programs. It also looks at the unique characteristics of the National Assessment of Educational Progress. Uncommon Measures provides an answer to the question posed by Congress in Public Law 105-78, suggests criteria for evaluating the quality of linkages, and calls for further research to determine the level of precision needed to make inferences about linked tests. In arriving at its conclusions, the committee acknowledged that ultimately policymakers and educators must take responsibility for determining the degree of imprecision they are willing to tolerate in testing and linking. This book provides science-based information with which to make those decisions.
This book reviews the evaluation research literature that has accumulated around 19 K-12 mathematics curricula and breaks new ground in framing an ambitious and rigorous approach to curriculum evaluation that has relevance beyond mathematics. The committee that produced this book consisted of mathematicians, mathematics educators, and methodologists who began with the following charge: Evaluate the quality of the evaluations of the thirteen National Science Foundation (NSF)-supported and six commercially generated mathematics curriculum materials; Determine whether the available data are sufficient for evaluating the efficacy of these materials, and if not; Develop recommendations about the design of a project that could result in the generation of more reliable and valid data for evaluating such materials. The committee collected, reviewed, and classified almost 700 studies, solicited expert testimony during two workshops, developed an evaluation framework, established dimensions/criteria for three methodologies (content analyses, comparative studies, and case studies), drew conclusions on the corpus of studies, and made recommendations for future research.
Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.