During the years 2000-2003, a course on Exploring Quantitative Relationships (EQR) was created at Queens College under the support of the U.S. Department of Education Fund for the Improvement of Post-Secondary Education (DOE-FIPSE Grant No. P116B000772). Exploratory in nature, the course goals were to acquaint liberal arts students with…

Traditional peer-to-peer Supplemental Instruction (SI) was introduced into higher education over a quarter of a century ago and promptly became an integral part of the developmental mathematics curricula in many senior and community colleges. Later, some colleges introduced Video-based Supplemental Instruction (VSI) and, in recent years,…

Computer Aided Learning of Mathematics (CALM) has been in use for some time in the Prep-Year Mathematics Program at King Fahd University of Petroleum & Minerals. Different kinds of software (both locally designed and imported) have been used in the quest of optimizing the recitation/problem session hour of the mathematics classes. This paper…

For this FIPSE funded project, mathematics faculty attended allied health classes and allied health faculty attended developmental mathematics courses to incorporate health examples into the developmental mathematics curriculum. Through the course of this grant a 450-page developmental mathematics book was written with many problems from a variety…

M.Y. Math Project is a developmental mathematics program that is aimed at: (1) fostering fundamental and problem-solving skills in developmental mathematics students by helping them to learn when and how to create and use algorithms; and (2) providing on-the-job training for developmental mathematics instructors through an instructional framework…

For over a decade mathematics instructors have been using graphing calculators in courses ranging from developmental mathematics (Beginning and Intermediate Algebra) to Calculus and Statistics. One of the key functions that make them so powerful in the teaching and learning process is their ability to find curves of best fit. Instructors may use…

Many colleges and universities have adopted e-learning platforms to utilize computers as an instructional tool in developmental (i.e., beginning and intermediate algebra) mathematics courses. An e-learning platform is a computer program used to enhance course instruction via computers and the Internet. Allegany College of Maryland is currently…

A current project for the Allegany College of Maryland Mathematics Department is using spreadsheets in some of their General Education Mathematics courses. It is important to note that one of the key features of this project is that is does not require an introductory computer course as a prerequisite for any of the mathematics courses that will…

Not too many years ago the author started out to study the students' own perspectives on their experience with the intent to answer the question, "How do college remedial math students define success, and what are they striving for in their math classes?" The author did not quite manage to answer such a grand question, but did gain some very…

The method of Least Squares is the most widely used technique for fitting a straight line to data, and it is typically discussed in several undergraduate courses. This article focuses on three developmentally different approaches for solving the Least Squares problem that are suitable for classroom exposition.

This article shows how Pythagorean triples can be generated naturally from a class of infinite series whose sums are zero, making surprising and interesting connections between different areas mathematics. This material can be suitable for use by teachers and students at various levels, but the simplest forms of the ideas may be best understood at…

The rapid rate of expansion of the disciplines of biotechnology, genomics, and bioinformatics emphasizes the increased interdependency between computer science and biology, with mathematics serving as the bridge between these disciplines. This paper demonstrates this inter-relationship within the context of a computational model for a biological…

In discussions with leading educators from many different fields, MAA's CRAFTY (Curriculum Renewal Across the First Two Years) committee found that one of the most common mathematical themes in those other disciplines is the idea of fitting a function to a set of data in the least squares sense. The representatives of those partner disciplines…

The advent of powerful Computer Algebra Systems (CAS) continues to dramatically affect curricula, pedagogy, and epistemology in secondary and college algebra classrooms. However, epistemological and pedagogical research regarding the role and effectiveness of CAS in the learning of algebra lags behind. This paper investigates concerns regarding…

This paper describes a "learning community" designed for sophomore computer science majors who are simultaneously studying discrete mathematics. The learning community consists of three courses: Discrete Mathematics, Data Structures and an Integrative Seminar/Lab. The seminar functions as a link that integrates the two disciplines. Participation…