This paper discusses experience with alternative assessment strategies for an introductory course in dynamical systems, where the use of computer algebra and calculus is fully integrated into the learning process, so that the standard written examination would not be appropriate. Instead, students' competence was assessed by grading three large…

The possibility of approximating a function with a linear combination of exponential functions of the form e[superscript x], e[superscript 2x], ... is considered as a parallel development to the notion of Taylor polynomials which approximate a function with a linear combination of power function terms. The sinusoidal functions sin "x" and cos "x"…

We examine the behavior of the curvature function associated with most common families of functions and curves, with the focus on establishing where maximum curvature occurs. Many examples are included for student illustrations. (Contains 18 figures.)

Using Freudenthal's method of historical phenomenology, the history of statistics was investigated as a source of inspiration for instructional design. Based on systematically selected historical examples, hypotheses were formulated about how students could be supported in learning to reason with particular statistical concepts and graphs. Such a…

The description about the changed instruction to encourage student exploration of the graphical and then the algebraic representations of functions is presented, which enables the students to understand how the graph, equation, and table of a function are related. The activity addresses both the Learning Principle and the Connection standard and…

The research on which this study is based found that 50% of the errors in English of French-speaking students were due to interlingual causes and 50% had their source within the target language itself. The question of a correlation between the errors and the teaching method used is explored. Five methods are discussed and evaluated:…

This paper contains sample exercises that investigate weather and air quality relationships for use in college-level introductory courses in climatology and meteorology. The exercises will provide students with an opportunity to apply meteorological principles to a specific geographic location, in an effort to better understand the significant…

Presentation of a methodology for instruction in reading and interpreting graphs and charts in a foreign language class. Illustrated by several demographic charts, the discussion includes an explanation of graphic semiology, several pedagogical approaches, the relationship between written text and graph and a bibliography. (Text is in French.)…

Describes a series of activities without conclusions to introduce scientific reasoning in a ninth grade physical science course. Uses popcorn popping to get students to think about the concepts of graphing, histograms, frequency, probability, and scientific methodology. (CW)

This article is the result of an investigation of students' conceptualizations of calculus graphing techniques after they had completed at least two semesters of calculus. The work and responses of 27 students to a series of questions that solicit information about the graphical implications of the first derivative, second derivative, continuity,…

Describes three classroom games for elementary school mathematics. Two are geoboard activities using a coordinate system; the third combines a knowledge of number facts with a game of tag. (RS)

A framework is presented for integrating use of a microcomputer into a statistics unit. Descriptions of some programs suitable for the Apple microcomputer and ideas for lessons are included. (MNS)

Examples of the use of hieroglyphics (glyphs) in science and medicine are presented. Suggests having academically talented science students use glyphs to make their own pictorial representations of their own data. (JN)

How graph paper has been used to illustrate the algorithm for division of fractions is presented. The combined use of graph paper and an overhead projector can make the presentation even more convincing. A review of whole number division is recommended prior to the lesson. (MP)

Differing treatments of graphs in mathematics and science are discussed. A teaching sequence to develop contrasts between real and ideal data is suggested. (MP)