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Department of Mathematics

UMass Dartmouth Math Department Research Projects

Mathematcs - Projects

The ATLAST Projects

ATLAST is a National Science Foundation sponsored project to encourage and facilitate the use of software in teaching linear algebra. The project has received the support of two NSF DUE grants as part of their Undergraduate Faculty Enhancement program. The materials on this web page represent the opinions of its authors and not necessarily those of the NSF.

The ATLAST project conducted eighteen faculty workshops during the six summers from 1992 to 1997. The workshops were held at thirteen regional sites. A total of 425 faculty from a wide variety of colleges and universities participated in the workshops.

Workshop participants were trained in the use of the MATLAB software package and how to use software as part of classroom lectures. Participants worked in groups to design computer exercises and projects suitable for use in undergraduate linear algebra courses. These exercises were class tested during the school year following the workshop and then submitted for inclusion in a database. A comprehensive set of exercises from this database covering all aspects of the first course in linear algebra has been selected for a book ATLAST Computer Exercises for Linear Algebra. The editors of the book are Steven Leon, Eugene Herman, and Richard Faulkenberry. The later ATLAST workshops developed a series of lesson plans using software to enhance linear algebra classroom presentations. These lesson plans were adapted into the exercise/project format used in the ATLAST book and included in the second edition of the ATLAST book. The second edition of the ATLAST book is available from Prentice Hall.

The ATLAST Project is coordinated through the University of Massachusetts Dartmouth. The ATLAST Project Director is Steven Leon and the Assistant Director is Richard Faulkenberry. ATLAST Workshops have been presented by Jane Day, San Jose State University, Eugene Herman, Grinnell College, Dave Hill, Temple University, Kermit Sigmon, University of Florida, Lila Roberts, Georgia Southern University, and Steven Leon.

Research Design Seminar

SimCalc Projects

Research and development in technology and curriculum dedicated to democratizing access to the Mathematics of Change and Variation, including ideas underlying Calculus. James J Kaput Memorial Site

TEMATH

TEMATH(Tools for Exploring Mathematics) is a mathematics exploration environment useful for investigating a broad range of mathematical problems. It is effective for solving problems in calculus, differential equations, linear algebra, numerical analysis, and math modeling. TEMATH contains a powerful grapher, a matrix calculator, an expression calculator, a differential equation solver, a facility for handling and manipulating data, numerical mathematical tools, and visual and dynamic exploration tools, and a capability for importing a digital background image or a sequence of background images. A student or researcher can use TEMATH as a laboratory to conduct mathematical experiments to study and discover properties of functions, discrete data, and mathematical systems. As a visualization tool TEMATH can search for patterns that will inspire mathematical conjectures.

The Proof Projects

The Proof Project investigates the development of students’ understanding of proof during the undergraduate experience. Proof, arguably, lies at the heart of mathematics; it pervades all mathematical work and sets mathematics apart from all other sciences. As such, it is necessary for all students to develop both the understanding of concepts related to proof and the skills to read and write proofs. The Proof Project aims to examine the ways in which undergraduate students acquire and develop their understandings of the concept of proof and to provide suggestions for the types of curricular and pedagogical innovations that can make the mathematics of proof accessible to all students.

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