Suggests an approach to understanding the integrals associated with teaching electricity and magnetism at the college level. Categorizes integrals that are commonly used, explains the significance of paired usage and presents a method for introducing concepts. Provides a review of symbols and for integrals in college textbooks. (CW)

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

Described is a weekly computer algebra laboratory course for Calculus I students during the 10-week spring semester, 1990, at Trinity University. Advice on the establishment and management of this type of laboratory including descriptions of student participation trends and student reactions is presented. (JJK)

Describes the results of a study that tracked college algebra students who had previously completed an Academic Assistance mathematics course that facilitated collaborative learning. Only 53% of all students who enrolled in college algebra in fall 1994 earned grades of C or higher, but 95% of students who had previously participated in the…

Ontario's elementary and secondary school mathematics curriculum was implemented in Fall 2000 having been revised according to the key principles of the social-constructivist view of mathematics education. This change in pedagogy has implications for teaching and learning mathematics, the use of technology and the emphasis in problem-solving. In…

As the pedagogical-effectiveness of information technology (IT) in mathematics education is carefully established the topic of discourse among mathematicians and mathematics educators is no longer a dispute about whether or not to use IT in the teaching and learning of mathematics but a shift to some debate about the when and how of its usage.…

The emphasis on writing in the teaching of mathematics and science can empower teachers to reach all sectors of the pupil population. The use of ordinary language can help break the cultural barriers that have prevented minorities and women from achieving well in proportionate numbers in these fields. This volume focuses on pedagogical issues of…

For this study, nine mental factors were selected from Guilford's structure of intellect model, and eight interest factors identified from a factor analysis of the Thinking Interest Survey. These factors were then treated as dependent variables in the assessment of two methods of teaching algebra to 244 college students. Students were assigned to…

Presents several ways that the microcomputer can be used as an aid in teaching various topics in calculus, including graphing functions, solving equations, finding limits and derivatives, and solving optimization problems. Emphasizes the use of computer software that tends to maximize the potential of computer graphics in mathematics instruction.…

Discusses a course taken at the University of Illinois (Champaign-Urbana) by undergraduates majoring in elementary education. The course attempts to combine theory and practice, emphasizing teaching methods which stress that learners make use of "mental representations" in assembling a working understanding of various components of their…

Discussed is the process of translating situations involving changing quantities into mathematical relationships. This process, called dynamical modeling, allows students to learn new mathematics while sharpening their algebraic skills. A description of dynamical systems, problem-solving methods, a graphical analysis, and available classroom…

Describes the collegewide academic program at Maharishi International University that incorporates speaking and writing into the undergraduate curriculum. The impact of the key features of this successful program upon the mathematics curriculum are discussed in detail. (JJK)

Many students doubt that statistical distributions are of practical value. Simulation makes it possible for students to tackle challenging, understandable projects that illustrate how distributions can be used to answer "what-if" questions of the type often posed by analysts. Course materials that have been developed over two years of classroom…

In fall 1992, a study was performed at Evergreen Valley College, in San Jose, California, to determine whether the presence of full-time instructional aides and part-time matriculation aides in four specific courses (English 321, 322, 330, and Math 12) led to increases in student success. Success was defined as receipt of a grade of…

This study was an initial effort at Brenau College (Georgia) to analyze the relative effectiveness of a self-paced math lab approach to developmental pre-college algebra. Students enrolled in 1988-89 were taught under the lecture method; this applied to students needing both developmental arithmetic and developmental algebra. During the subsequent…