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)

This paper describes the Learning IN Communities (LINC) integrated curriculum project implemented at the University of Central Florida. The report reviews two programs initiated in the fall of 1998, a Biology-English-Statistics class and a Calculus-English-Humanities class. The paper discusses the rationale for attempting this alternate teaching…

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)

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.…

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

To build understanding of, and the ability to use, first-year science and engineering calculus, students were introduced to differential equations and asked to carry out research on differential equation modeling projects. Describes a model for the research paper; appendices provide a copy of the student handout and five examples of student…

This set of five papers, written in German with abstracts in English, was collected by the Institut fuer Didaktit der Mathematik (Institute for the Teaching of Mathematics) at the University of Bielefeld in West Germany. In the first paper, Bauersfeld considers domains of subjective experiences as the best issue for an interactive theory of…

This paper uses inquiry-based learning to introduce primary students to the concepts and terminology found in four introductory engineering courses: Differential Equations, Circuit Analysis, Thermodynamics, and Dynamics. Simple electronic sensors coupled with everyday objects, such as a troll doll, demonstrate and reinforce the physical principles…

"How can this Abstract Algebra course help me to teach Algebra in high school?" To professors of prospective mathematics teachers, this type of question has a resounding familiarity. Because students are unclear as to the relationship between upper division mathematics courses and the high school curriculum, answering the opening question to the…

Based on the assumption that each student learns in a unique way, this paper outlines the factors to be considered before selecting the methods of instruction for particular mathematics courses and their students. The advantages and disadvantages of the lecture/textbook and question/answer method, individualized instruction, self-pacing,…

This issue of "Investigations in Mathematics Education" contains: (1) a review of E. Fischbein's book "The Intuitive Sources of Probabilistic Thinking in Children;" (2) nine abstracts of research studies in mathematics education; (3) a list (by EJ number) of mathematics education research studies reported in the January to…

In the late 1990s failure rates in a first-year introductory calculus course at the Norwegian University of Science and Technology reached peak levels. This paper reports on findings from an action research project that was set up in 2002/2003 to improve the situation. The study confirms that students approach their tasks differently which…

This article describes the Jaime Escalante Math Program, a system that in 1989 helped an East Los Angeles high school set a record by administering over 450 Advanced Placement exams, having administered only 10 tests in 1978. The article is presented in three sections. The first section describes the program, discussing origins and backgrounds:…

This study is grounded in a reform calculus movement funded by grants from the National Science Foundation to find ways to improve student learning in mathematics, specifically in calculus. The study examines reasons why faculty accept or reject reform calculus teaching techniques, and what they consider to be the challenges and outcomes of these…