In this article, a classroom teacher discusses ambiguities in mathematics vocabulary and strategies for ELL students in building understanding. The authors note that mathematics vocabulary may be more difficult to learn than other academic vocabulary for several reasons: (1) definitions are filled with technical vocabulary, symbols, and diagrams;…

Card tricks based on mathematical principles can be a great way to get students interested in exploring some important mathematical ideas. In this article, the author discusses a simple spreadsheet implementation that shows students why the card trick works and allows them to explore several variations. As an added bonus, students are introduced…

Most students love to play games. Ernest (1986) believed that games could be used to teach mathematics effectively in four areas: motivation, concept development, reinforcement of skills, and practice of problem-solving strategies. Fifteen is an interesting and thought-provoking game that helps students learn mathematics at the same time. Playing…

Discusses two concrete models that have been useful in helping students understand operations with percentages. Includes information on materials needed, procedures for students, limitations, and instructional strategies. (JN)

Plane figures constructed with curves of constant width "roll" evenly. The circle is but one example of such figures. Presented is an activity to direct students in the construction of a plane figure with curves of constant width which is not a circle. (JP)

A method of demonstrating computer programming and computer capability by using students to execute the commands of a computer program is explained. Serveral programs are specified and suggestions for 12 programs covering other topics are made. (DT)

Examines a root-approximation method using fixed points as a pedagogical tool for reinforcing and expanding students' conception of functions. (KHR)

Techniques are suggested for preparing practice exercises in algebra and trigonometry. (JP)

Homework assignment procedures most often used in mathematics classes are analyzed, research results in this area are cited, and corrective measures are proposed. (DT)

An unusual algorithm for approximating square roots is presented and investigated using techniques common in algebra. The material is presented as a tool to interest high school students in the logic behind mathematics. (MP)

Demonstrates how students' power to recognize and express patterns and generality can be exploited in a variety of different ways that are connected to both arithmetic and algebra. Uses the Tunja sequence approach to teach multiplication of negative numbers and simplification of factors. (KHR)

Describes an activity that allows students to investigate families of linear functions and families of quadratic functions. Offers an opportunity for students to conjecture, explain, and justify in an environment based on Euclidean geometry. Includes a teacher's guide, answers, and student worksheets. (KHR)

Describes some interesting features of the book "Sumario Compendioso," first written in North America so that others can use it to enrich their classes and forge links between mathematics and other subjects. (KHR)