In this study we examined how two students viewed the general nature of their proportional reasoning errors as they attempted to generalize numeric situations. Using a teaching experiment methodology we studied the reasoning of two students over 18 instructional sessions. One student, Dallas, appeared to recognize that the proportional reasoning…

A gamut of mathematical subjects and concepts are taught within a handful of courses formally required of the typical engineering student who so often questions the relevancy of being bound to certain lower-division prerequisites. Basic classes at the undergraduate level, in this context, include: Integral and Differential Calculus, Differential…

Many children enjoy collecting items such as seashells, state quarters, and trading cards. Asking students to think about the ways in which similar items differ, how objects can be grouped by a common characteristic, and how groups can be subsets of a larger category leads to an understanding of fundamental mathematics and science concepts: sets,…

This textbook presents readings in geometry and the theory of infinitesimals.

This textbook presents principles, ratios and proportions, the circle and measurement of angles, the proportions of figures and the measurement of areas, regular polygons and measurement of the circle, planes and solid angles, polyhedrons, the three round bodies, spherical triangles and spherical polygons, regular polyhedrons, plane and spherical…

The first report of the Metrication Board, published summer 1970, leads Mr. Frost to reflect on the history of weights and measurements and the factors leading to Britain's present course toward decimalisation and metrication, with its implications for adult education. (Editor/NL)

This essay investigates the rhetoric surrounding the appearance of the concept of the infinitesimal in the seventeenth-century Calculus of Sir Isaac Newton and Gottfried Wilhelm Leibniz. Although historians often have positioned rhetoric as a supplemental discipline, this essay shows that rhetoric is the "material" out of which a new and powerful…