Calculus Renewal

Calculus Renewal
Author: Susan L. Ganter
Publisher: Springer Science & Business Media
Total Pages: 192
Release: 2013-06-29
Genre: Education
ISBN: 1475746989

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

The Teaching and Learning of Mathematics at University Level
Author: Derek Holton
Publisher: Springer Science & Business Media
Total Pages: 559
Release: 2006-04-11
Genre: Education
ISBN: 0306472317

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).

Non-Life Insurance Mathematics

Non-Life Insurance Mathematics
Author: Thomas Mikosch
Publisher: Springer Science & Business Media
Total Pages: 435
Release: 2009-04-21
Genre: Mathematics
ISBN: 3540882332

"Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy." --Zentralblatt für Didaktik der Mathematik

Special Functions: Fractional Calculus and the Pathway for Entropy

Special Functions: Fractional Calculus and the Pathway for Entropy
Author: Hans J. Haubold
Publisher: MDPI
Total Pages: 305
Release: 2018-03-23
Genre: Mathematics
ISBN: 3038426652

This book is a printed edition of the Special Issue "Special Functions: Fractional Calculus and the Pathway for Entropy Dedicated to Professor Dr. A.M. Mathai on the occasion of his 80th Birthday" that was published in Axioms

Encyclopedia of Mathematics Education

Encyclopedia of Mathematics Education
Author: Louise Grinstein
Publisher: Routledge
Total Pages: 911
Release: 2001-03-15
Genre: Education
ISBN: 1136787224

This single-volume reference is designed for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. It contains more than 400 entries, arranged alphabetically by headings of greatest pertinence to mathematics education. The scope is comprehensive, encompassing all major areas of mathematics education, including assessment, content and instructional procedures, curriculum, enrichment, international comparisons, and psychology of learning and instruction.

Uncertain Differential Equations

Uncertain Differential Equations
Author: Kai Yao
Publisher: Springer
Total Pages: 166
Release: 2016-08-29
Genre: Technology & Engineering
ISBN: 3662527294

This book introduces readers to the basic concepts of and latest findings in the area of differential equations with uncertain factors. It covers the analytic method and numerical method for solving uncertain differential equations, as well as their applications in the field of finance. Furthermore, the book provides a number of new potential research directions for uncertain differential equation. It will be of interest to researchers, engineers and students in the fields of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, automation, economics, and management science.

A Fresh Start for Collegiate Mathematics

A Fresh Start for Collegiate Mathematics
Author: Nancy Baxter Hastings
Publisher: Mathematical Association of America (MAA)
Total Pages: 412
Release: 2006
Genre: Mathematics
ISBN:

"This volume is an outcome of the NSF-funded conference, 'Rethinking the Preparation for Calculus,' which took place in Washington, DC, in October 2001"--P. vi

The Development of Arabic Mathematics: Between Arithmetic and Algebra

The Development of Arabic Mathematics: Between Arithmetic and Algebra
Author: R. Rashed
Publisher: Springer Science & Business Media
Total Pages: 392
Release: 2013-04-18
Genre: History
ISBN: 9401732744

An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical mathematics. This book draws together more than ten studies to highlight one of the major developments in Arabic mathematical thinking, provoked by the double fecondation between arithmetic and the algebra of al-Khwarizmi, which led to the foundation of diverse chapters of mathematics: polynomial algebra, combinatorial analysis, algebraic geometry, algebraic theory of numbers, diophantine analysis and numerical calculus. Thanks to epistemological analysis, and the discovery of hitherto unknown material, the author has brought these chapters into the light, proposes another periodization for classical mathematics, and questions current ideology in writing its history. Since the publication of the French version of these studies and of this book, its main results have been admitted by historians of Arabic mathematics, and integrated into their recent publications. This book is already a vital reference for anyone seeking to understand history of Arabic mathematics, and its contribution to Latin as well as to later mathematics. The English translation will be of particular value to historians and philosophers of mathematics and of science.

Amongst Mathematicians

Amongst Mathematicians
Author: Elena Nardi
Publisher: Springer Science & Business Media
Total Pages: 349
Release: 2008
Genre: Education
ISBN: 0387371419

This book offers a unique perspective on ways in which mathematicians: perceive their students' learning; teach; reflect on their teaching practice. Elena Nardi achieves this by employing two fictional, yet entirely data-grounded, characters to create a conversation on these important issues. The construction of these characters is based on large bodies of data including intense focused group interviews with mathematicians and extensive analyses of students' written work, collected and analyzed over a substantial period.