calculus renewal issues for undergraduate mathematics education in the next decade

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Calculus Renewal

Author : Susan L. Ganter
ISBN : 9781475746983
Genre : Education
File Size : 49. 76 MB
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Calculus Reform. Or, as many would prefer, calculus renewal. These are terms that, for better or worse, have become a part of the vocabulary in mathematics departments across the country. The movement to change the nature of the calculus course at the undergraduate and secondary levels has sparked discussion and controversy in ways as diverse as the actual changes. Such interactions range from "coffee pot conversations" to university curriculum committee agendas to special sessions on calculus renewal at regional and national conferences. But what is the significance of these activities? Where have we been and where are we going with calculus and, more importantly, the entire scope of undergraduate mathematics education? In April 1996, I received a fellowship from the American Educational Research Association (AERA) and the National Science Foundation (NSF). This fellowship afforded me the opportunity to work in residence at NSF on a number of evaluation projects, including the national impact of the calculus reform movement since 1988. That project resulted in countless communications with the mathematics community and others about the status of calculus as a course in isolation and as a significant player in the overall undergraduate mathematics and science experience for students (and faculty). While at NSF (and through a second NSF grant received while at the American Association for Higher Education), I also was part of an evaluation project for the Institution-wide Reform (IR) program.

The Teaching And Learning Of Mathematics At University Level

Author : Derek Holton
ISBN : 9780306472312
Genre : Education
File Size : 50. 37 MB
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This is a text that contains the latest in thinking and the best in practice. It provides a state-of-the-art statement on tertiary teaching from a multi-perspective standpoint. No previous book has attempted to take such a wide view of the topic. The book will be of special interest to academic mathematicians, mathematics educators, and educational researchers. It arose from the ICMI Study into the teaching and learning of mathematics at university level (initiated at the conference in Singapore, 1998).

Changing Core Mathematics

Author : David C. Arney
ISBN : 0883851725
Genre : Mathematics
File Size : 82. 28 MB
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Journal For Research In Mathematics Education

Author :
ISBN : OSU:32435076876325
Genre : Mathematics
File Size : 62. 21 MB
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Scholarship Of Multicultural Teaching And Learning

Author : Matthew Kaplan
ISBN : 0470223820
Genre : Education
File Size : 24. 18 MB
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This volume will appeal to new and experienced practitioners of multicultural teaching. It offers documented illustrations of how such teaching is designed, carried out, and applied effectively in a variety of higher education contexts and in a wide range of disciplines representing the humanities, the social sciences, engineering, mathematics, and the arts. Because effective approaches to multicultural teaching and learning are still being developed in institutions across the United States and around the world, it is essential to study and document promising practices. It is only through rigorous research and comparative studies that we can be assured that the significant investments many institutions are making in multicultural education will work effective toward the development of individual student and faculty skills and the overall betterment of society. This volume provides the valuable results of such research as well as models for the types of research that others could carry out in this area. This is the 111th issue of the Jossey Bass quarterly report series New Directions for Teaching and Learning.

A Fresh Start For Collegiate Mathematics

Author : Nancy Baxter Hastings
ISBN : 0883851792
Genre : Mathematics
File Size : 47. 84 MB
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Each year, over 1,000,000 students take college-level courses below calculus such as precalculus, college algebra and others that fulfill general education requirements. Most college algebra courses, and certainly all precalculus courses, were originally intended to prepare students for calculus. Most are still offered in this spirit, even though only a small percentage of students have any intention of taking calculus. This volume examines how the courses below calculus might be refocused to provide better mathematical experiences for all students. This initiative involves a greater emphasis on conceptual understanding with a de-emphasizing on rote manipulation. It encourages the use of realistic applications, math modeling and data analysis that reflect the ways mathematics is used in other disciplines. It promotes the use of active learning approaches, including group work, exploratory activities and projects. It emphasizes communication skills: reading, writing, presenting and listening. It endorses the appropriate use of technology to enhance conceptual understanding, visualization, and to enable students to tackle real-world problems.The 49 papers in this volume seek to focus attention on the problems and needs of the courses and to provide guidance to the mathematics community. Major themes include: new visions for introductory collegiate mathematics, transition from high school to college, needs of other disciplines, research on student learning, implementation issues, and ideas and projects that work.

Moving Beyond Myths

Author : Committee on the Mathematical Sciences in the Year 2000
ISBN : 9780309583336
Genre : Education
File Size : 31. 45 MB
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Over the next decade, the mathematical community and the nation's colleges and unversities must restructure fundamentally the culture, content, and context of undergraduate mathematics. Acknowledging the weaknesses in the present college mathematics curriculum and the ways in which it is taught, this book cites exemplary programs that point the way toward achieving the same world-wide preeminence for mathematics education that the United States enjoys in mathematical research. Moving Beyond Myths sets forth ambitious goals for collegiate mathematics by the year 2000 and provides a sweeping plan of action to accomplish them. It calls on mathematics faculty, their departments, their professional societies, colleges and universities, and government agencies to do their parts to implement the plan, help the public move beyond commonly held myths about mathematics, and bring about a revitalization of undergraduate mathematics.

Contemporary Issues In Mathematics Education

Author : Estela A. Gavosto
ISBN : 0521654718
Genre : Education
File Size : 36. 53 MB
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This volume presents a serious discussion of educational issues, with representations of opposing ideas.

Banach Algebra Techniques In Operator Theory

Author : Ronald G. Douglas
ISBN : 9781461216568
Genre : Mathematics
File Size : 81. 29 MB
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A discussion of certain advanced topics in operator theory, providing the necessary background while assuming only standard senior-first year graduate courses in general topology, measure theory, and algebra. Each chapter ends with source notes which suggest additional reading along with comments on who proved what and when, followed by a large number of problems of varying difficulty. This new edition will appeal to a whole new generation of students seeking an introduction to this topic.

Functions Data And Models

Author : Sheldon P. Gordon
ISBN : 9780883857670
Genre : Mathematics
File Size : 76. 90 MB
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This is a college algebra-level textbook written to provide the kind of mathematical knowledge and experiences that students will need for courses in other fields, such as biology, chemistry, business, finance, economics, and other areas that are heavily dependent on data either from laboratory experiments or from other studies. The focus is on the fundamental mathematical concepts and the realistic problem-solving via mathematical modeling rather than the development of algebraic skills that might be needed in calculus.Functions, Data, and Models presents college algebra in a way that differs from almost all college algebra books available today. Rather than going over material covered in high school courses the Gordons teach something new. Students are given an introduction to data analysis and mathematical modeling presented at a level that students with limited algebraic skills can understand. The book contains a rich set of exercises, many of which use real data. Also included are thought experiments or what if questions that are meant to stretch the student's mathematical thinking.

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