Processes using linear measurement can be adapted to teach complex topics such as polynomial multiplication, rational exponents, and logarithms.
Walter J. Whiteley and Ami Mamolo
Investigating rates of change in volume without calculation leads to an enriched sense of the optimization process and encourages reflection and connection among different approaches.
Gregory D. Foley
Ellipses vary in shape from circular to nearly parabolic. An ellipse's eccentricity indicates the location of its foci, but its aspect ratio is a direct measure of its shape.
John F. Mahoney
The author presents an activity in which the lines in students' hands are analyzed, with curves and lines fit to each one.
Eileen Fernández and Kristi A. Geist
Logistic growth displays an interesting pattern: It starts fast, exhibiting the rapid growth characteristic of exponential models. As time passes, it slows in response to constraints such as limited resources or reallocation of energy (see fig. 1). The growth continues to slow until it reaches a limit, called capacity. When the growth describes a population, capacity is defined as “the maximum population that the environment is capable of sustaining in the long run” (Stewart 2008, p. 628).