PDF Toward a Lean and Lively Calculus Download
- Author: Ronald G. Douglas
- Publisher: MAA Press
- ISBN:
- Category : Calculus
- Languages : en
- Pages : 300
Toward a Lean and Lively Calculus
How to Solve A Problem
PDF How to Solve A Problem Download
- Author: Kelling J. Donald
- Publisher: CRC Press
- ISBN: 1000860124
- Category : Education
- Languages : en
- Pages : 138
This concise and accessible resource offers new college students, especially those in science degree programs, guidance on engaging successfully with the classroom experience and skillfully tackling technical or scientific questions. The author provides insights on identifying, from the outset, individual markers for what success in college will look like for students, how to think about the engagement with professors as a partnership, and how to function effectively in that partnership toward achieving their pre-defined goals or markers of success. It is an ideal companion for science degree prospects and first-generation students seeking insight into the college experience. Offers transferable problem-solving ideas and skills applicable for other disciplines and future careers. Provides new students with support and inspiration for their college experience. Includes guidance for successful interactions with professors, peers, professionals, and others. Encourages thoughtful determination of desired outcomes from the college experience and shaping one's actions toward accomplishing those objectives.
Calculus Renewal
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- Author: Susan L. Ganter
- Publisher: Springer Science & Business Media
- ISBN: 1475746989
- Category : Education
- Languages : en
- Pages : 168
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.
Using Information Technology in Mathematics Education
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- Author: James Tooke
- Publisher: CRC Press
- ISBN: 9780789013767
- Category : Business & Economics
- Languages : en
- Pages : 204
Computers have changed the ways that mathematics are taught and learned. Is your institution taking advantage of what today's technology offers? With contributions from researchers and practitioners alike, Using Information Technology in Mathematics Education explores the impact of the computer on the curriculum, the teaching and learning of mathematics, and the professional development of teachers, both pre-service and in-service. As editor James Tooke states: “The connection between mathematics and the computer is obvious. Elementary notions of mathematics gave rise to the computer; advanced notions gave it a more powerful state. As the computer advanced, it expanded mathematics, allowing the creation of further branches of the field; for instance, fractal geometry had no reality until the advent of high-speed computers.” In its look at the relationship between mathematics, the computer, and mathematics education, Using Information Technology in Mathematics Education: addresses the computer as a vehicle for teaching calculus at Texas A&M includes reports from several programs that have utilized the computer when teaching mathematics at lower levels of content than calculus such as intermediate algebra and geometry examines the computer's role in student learning probability discusses the use of computers in the professional development of teachers explores ways to use computers to reduce mathematics anxiety Using Information Technology in Mathematics Education examines the history and impact of computers in mathematics and mathematics education--from the early, crude computer-assisted instruction efforts through LOGO software for elementary schools, through MAPLE for the university, to the Web-based calculus courses now being offered by outstanding universities. Use it to facilitate learning and teacher growth in your institution!
Making the Connection
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- Author: Marilyn Paula Carlson
- Publisher: MAA
- ISBN: 9780883851838
- Category : Mathematics
- Languages : en
- Pages : 340
The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.
A Century of Advancing Mathematics
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- Author: Paul Zorn
- Publisher: The Mathematical Association of America
- ISBN: 0883855887
- Category : Mathematics
- Languages : en
- Pages : 436
The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more than just mathematics; we have, as this volume tries to make evident, investigated mathematical connections to pedagogy, history, the arts, technology, literature, every field of intellectual endeavor. Essays, all commissioned for this volume, include exposition by Bob Devaney, Robin Wilson, and Frank Morgan; history from Karen Parshall, Della Dumbaugh, and Bill Dunham; pedagogical discussion from Paul Zorn, Joe Gallian, and Michael Starbird, and cultural commentary from Bonnie Gold, Jon Borwein, and Steve Abbott. This volume contains 35 essays by all-star writers and expositors writing to celebrate an extraordinary century for mathematics-more mathematics has been created and published since 1915 than in all of previous recorded history. We've solved age-old mysteries, created entire new fields of study, and changed our conception of what mathematics is. Many of those stories are told in this volume as the contributors paint a portrait of the broad cultural sweep of mathematics during the MAA's first century. Mathematics is the most thrilling, the most human, area of intellectual inquiry; you will find in this volume compelling proof of that claim.
Mathematical Computation with Maple V: Ideas and Applications
PDF Mathematical Computation with Maple V: Ideas and Applications Download
- Author: Thomas Lee
- Publisher: Springer Science & Business Media
- ISBN: 1461203511
- Category : Computers
- Languages : en
- Pages : 202
Developments in both computer hardware and Perhaps the greatest impact has been felt by the software over the decades have fundamentally education community. Today, it is nearly changed the way people solve problems. impossible to find a college or university that has Technical professionals have greatly benefited not introduced mathematical computation in from new tools and techniques that have allowed some form, into the curriculum. Students now them to be more efficient, accurate, and creative have regular access to the amount of in their work. computational power that were available to a very exclusive set of researchers five years ago. This Maple V and the new generation of mathematical has produced tremendous pedagogical computation systems have the potential of challenges and opportunities. having the same kind of revolutionary impact as high-level general purpose programming Comparisons to the calculator revolution of the languages (e.g. FORTRAN, BASIC, C), 70's are inescapable. Calculators have application software (e.g. spreadsheets, extended the average person's ability to solve Computer Aided Design - CAD), and even common problems more efficiently, and calculators have had. Maple V has amplified our arguably, in better ways. Today, one needs at mathematical abilities: we can solve more least a calculator to deal with standard problems problems more accurately, and more often. In in life -budgets, mortgages, gas mileage, etc. specific disciplines, this amplification has taken For business people or professionals, the excitingly different forms.
Interdisciplinary Lively Application Projects
PDF Interdisciplinary Lively Application Projects Download
- Author: David C. Arney
- Publisher: American Mathematical Soc.
- ISBN: 0883857065
- Category : Mathematics
- Languages : en
- Pages : 236
The ILAPs provide supplemental classroom resource materials in the form of eight project handouts that you can use as student homework assignments. They require students to use scientific and quantitative reasoning, mathematical modeling, symbolic manipulation skills, and computational tools to solve and analyze scenarios, issues, and questions involving one or more disciplines. The prerequisite skills for the eight projects presented in the book range from freshman-level algebra, trigonometry, and precalculus; through calculus, elementary and intermediate differential equations, and discrete mathematics to advanced calculus and partial differential equations.
