This paper focuses on student understanding and learning of the algebraic concept--rate of change. Teachers' knowledge about their students and current literature on students' understanding is used to design and assess the instruments. Data were obtained as part of two-year research program that focused on how the study of students' understanding…

This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…

This textbook's goal is to train and develop the mind by means of the science of numbers. Numbers are the instruments here employed to strengthen the memory, to cultivate the faculty of abstraction, and to sharpen and develop the reasoning powers.

The goals, objects, materials and grade levels are specified in this description of a laboratory activity involving analytic geometry concepts. Students mark out bicycle gymkhana courses in which directions to participants are given by Cartesian coordinates. (JP)

A probability problem concerned with drawing balls of a given color from an urn is discussed. Two methods of solution result from two different views of the problem. (JP)

Given two interesecting lines, the "pencil" of this interesection is the family of all lines passing through the point of intersection. Presented is a characterization of all lines both in the plane and lying in opposite sectors of the plane as determined by one of the original intersecting lines. (JP)

Students calculate the speed of cars moving on a highway as a lab activity. Directions for teachers, objectives, goals, grade level (7-12), materials and procedures are detailed. (JP)