This discussion uses a more difficult reaction as the prototype to derive the standard equation for chemical equilibrium. It can be used by students who can understand and use partial derivatives. (CW)

Presents a method using weighted averages to approximate partial sums of alternating series. Examples are included. (PK)

A calculus course was designed to give students an appreciation of mathematics as a social process rather than a set of techniques. Group activities, problem solving sessions, and a new approach to testing were used. (SD)

In this paper, we will discuss the way various features of consciousness interact with each other and with cognition, specifically, the cognition of mathematical reasoning and problem solving. Thus we are interested in how consciousness and cognition "work," in a somewhat mechanistic way, rather than in larger philosophical questions about…

The integration of History in the educational practice can lead to the development of a series of activities exploiting genetic "moments" of the history of Mathematics. Utilizing genetic ideas that developed during the 14th century (Merton College, N. Oresme), activities are developed and mathematical models for solving problems related to uniform…

This research report presents a study of the work of agronomy majors in which an extension of linear models to non-linear contexts can be observed. By linear models we mean the model y=a.x+b, some particular representations of direct proportionality and the diagram for the rule of three. Its presence and persistence in different types of problems…

This volume contains the proceedings of the International Conference on Technology in Mathematics Education (ICTME) held at the Lebanese American University in July, 2000. The conference included a panel discussion on technology and the new curriculum, hands-on workshops, and focus group discussion centered around the themes of the effects of…

This paper presents the results of research that compared the academic achievement of high school students enrolled in an integrated Advanced Placement Biology/Advanced Placement Calculus course with students enrolled in traditional Advanced Placement Biology and Advanced Placement Calculus courses. Study subjects included high school students…

A method of nonmetric multidimensional scaling is described which minimizes pairwise departures from monotonicity. (Author)

A report on the development and use of a course developed by the Center for Research in College Instruction of Science and Mathematics (CRICISAM) at Florida State University. (MM)

Reports basic research on the meaning and measurement of family attitudes and the development of a new measurement instrument, the Family Motivation Test. Theoretical system is called the Investment-Subsidation Model. (Author/DB)

A simple way to introduce natural logarithms and e is presented. The standard approach is outlined, followed by the approach via differentiating the exponential functions that the student knows about. (MNS)

The effectiveness of a distributive model and the conventional method for assigning homework in a first-semester course in calculus is examined. Results indicated a pay-off for the distributive model in terms of improved performance of the student of average or below-average mathematics ability. (MP)

It is noted that all graphs of cubic equations are symmetric about their inflection points. This is proven through the use of some calculus and the fundamental theorem of algebra. A table sums up the nature of symmetry for polynomials of any degree. (MP)

The first idea discusses the use of Pascal's triangle to discover the total number of gifts presented during the 12 days of Christmas. The second idea looks at an approach to viewing L'Hospital's rule that is geared toward helping beginning calculus students develop a feeling as to why it works. (MP)