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A report on the state of current thinking on curriculum and policy issues affecting the mathematical education of teachers, with the goal of stimulating campus efforts to improve programs for prospective K-12 teachers. Its primary audience is members of the mathematics faculties and administrators at colleges and universities, but the report may also be of interest to math supervisors in school districts and state education departments, to education policy bodies at the state and national levels, and to accreditation and certification organizations. c. Book News Inc.
The book deals with teaching mathematics, a core activity of the contemporary university. It is suitable for the library of every university and mathematician. It features a broad range of topics (technology, pedagogy, philosophy, course content) of interest and value to all who teach university mathematics. This is one of the few books dealing with this essential subject.
This book is the first to focus specifically on doctoral programs in mathematics education. It reflects the proceedings of a National Conference on Doctoral Programs in Mathematics Education (Lake Ozark, MO) which was sponsored by the National Science Foundation. This conference was proceeded by a comprehensive survey of programs conducted over the preceding year. The meeting was designed to generate dialog regarding the nature of current doctoral programs in mathematics education, to discuss ways to strengthen such programs, and to detail suggestions and guidelines for faculty engaged in restructuring an existing program or in creating a new one.
Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: By analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the Case Studies of the title. Just as a good mathematician seeks both to understand the details of a particular problem and to put it in a broader context, the examples...
This fourth volume of Research in Collegiate Mathematics Education (RCME IV) reflects the themes of student learning and calculus. Included are overviews of calculus reform in France and in the U.S. and large-scale and small-scale longitudinal comparisons of students enrolled in first-year reform courses and in traditional courses. The work continues with detailed studies relating students' understanding of calculus and associated topics. Direct focus is then placed on instruction and student comprehension of courses other than calculus, namely abstract algebra and number theory. The volume concludes with a study of a concept that overlaps the areas of focus, quantifiers. The book clearly reflects the trend towards a growing community of researchers who systematically gather and distill data regarding collegiate mathematics' teaching and learning. This series is published in cooperation with the Mathematical Association of America.
Presents teaching situations for analysis so that mathematicians can develop teaching skills. Examples are chosen to afford analysis from a broad perspective. Each case raises a variety of pedagogical and communication issues that may be explored either individually or in a group facilitated by a faculty member. Issues include weak student knowledge of prerequisites, cheating, grading, helping struggling students, and teaching specific concepts. Friedberg is director of the Boston College Mathematics Case Studies Project. c. Book News Inc.
Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.
The sixth volume of Research in Collegiate Mathematics Education presents state-of-the-art research on understanding, teaching, and learning mathematics at the postsecondary level. The articles advance our understanding of collegiate mathematics education while being readable by a wide audience of mathematicians interested in issues affecting their own students. This is a collection of useful and informative research regarding the ways our students think about and learn mathematics.The volume opens with studies on students' experiences with calculus reform and on the effects of concept-based calculus instruction. The next study uses technology and the van Hiele framework to help students con...
In America, more money is spent from all sources on K-12 education than on the U.S. Department of Defense. Why then are so many children suffering what amounts to educational malpractice? Why are they crippled for life with a substandard education and a life-altering vision of themselves as 'incapable'? Betrayed is a passionate, well-researched and frank accounting of how a failing public-education system continues to be forced on teachers and students, despite its nearly complete lack of supporting research or successful student outcomes. Betrayed roots out the self-styled 'stakeholders' whose personal, professional and financial interests are served by this failing system. It sympathizes with teachers_many of whom aren't allowed to do their jobs, yet are constantly threatened with removal for 'ineffectiveness' or 'insubordination.' Betrayed is an expose, but it's also a beacon of commonsense and hope. Through the 'Square of Effective Learning,' Betrayed offers practical methods for teachers, parents, advocates and legislators to stand up against this broken system, to effect positive change, and to ensure a good-quality education for all of our children.