This paper documents how eight high school students in a precalculus class enhanced with graphing calculators think about functions. Three models of thinking about functions emerged from students' function images observed over a period of 9 months. In the graph model, students believed that functions are essentially graphs; in the equation model,…

This yearbook focuses on the role of technology in school mathematics. Chapters are replete with classroom-tested ideas for using technology to teach new mathematical ideas and to teach familiar mathematical ideas better. Chapters included: (1) "Using the Graphing Calculator in the Classroom: Helping Students Solve the "Unsolvable" (Eric Milou,…

Many believe that technology offers the most benefit to students and teachers when it is integrated into the core curriculum rather than being taught as a separate discipline. This publication is intended to assist teachers in incorporating technology into learning activities in mathematics and science. Chapters emphasize issues concerning…

The introduction of technology resources into mathematics classrooms promises to create opportunities for enhancing students' learning through active engagement with mathematical ideas; however, little consideration has been given to the potential for technology to promote a more collaborative approach to learning. This paper draws on data from a…

Education has traditionally studied the world by bringing it into the classroom. This method can result in situated learning that appears to students to have no relevance outside the classroom. Students acquire inert, decontextualized knowledge that they cannot apply to real problems. The obvious solution to this shortcoming is to reverse the…

Describes a rugby problem designed to help students understand the maximum-minimum situation. Presents a series of explorations that locate an optimal place for kicking the ball to maximize the angle at the goalposts. Uses interactive geometry software to construct a model of the situation. Includes a sample student activity. (KHR)

Outlines several recommendations for teaching probability in the secondary school. Offers an activity that employs simulation by hand and using a programmable calculator in which geometry, analytical geometry, and discrete mathematics are explored. (KHR)

An approach to finding the rational roots of polynomial equations based on computer graphing is given. It integrates graphing with the purely algebraic approach. Either computers or graphing calculators can be used. (MNS)

Compares the trends of women's and men's world records for the 800-meter run using the linear and power regression capabilities of a graphing calculator. (MDH)

Reports on the use of technology to enhance the teaching of ordinary differential equations, gives examples of laboratory activities using cooperative learning, and discusses assessment of student learning. MacMath, TI-81 graphing calculators, and Maple were used in the course. (Author/MKR)

Presents cost analyses of building a patio, incorporating manipulatives, pattern building, graphing calculators, matrix applications, and functions. Includes reproducible student worksheet. (MKR)

Uses a TI-82 graphics calculator to model the air drag of plastic, wood, cork, and foam balls during projectiles experiments. Provides equations and typical data table. (MVL)

Computer spreadsheets, computer graphing software, and programable graphing calculators are each demonstrated in the computational process of numerical iteration as a problem-solving method. Examples, illustrations, practical tips, and a typical calculator program are included. (JJK)

Argues that teachers and lecturers need to identify essential skills which are technology-independent and need to determine the most effective use of new technology in the classroom. Examines prospects for change using the newer technology of graphing calculators for mathematics courses. Contains 15 references. (ASK)

Presents an activity in which students use mathematical ideas to understand how the intensity of light changes as light passes through water or similar partial barriers, by using a calculator-based laboratory device to record light intensity. Continues with a structured series of questions involving the use of difference equations with which…