Shows how technologies are essential in a new algebra curriculum based on the NCTM Standards. This article is one of the keynote addresses of the Algebra Working Group of the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. (24 references) (MKR)

Describes two thought experiments, involving visualizing the behavior of functions, that can be turned into computer experiments. (MKR)

Studies two classrooms, one of which uses computers as a student tool for mathematics exploration and the other which utilizes the computer as a presentation tool. Concludes that technology utilization was tightly linked with the underlying instructional philosophy and approach. Contains 32 references. (Author/ASK)

Describes teaching methods in a computer-based learning environment called WORDMATH, designed to teach word-problem solving to 9-to 12-year-old students in Singapore primary schools. Discusses the results of a formative study of the tutor. (Author/ASK)

Compares students of average ability in three high school geometry classes that utilized computer software in varying amounts. Reports that using computer software may not be beneficial when teaching certain topics in geometry and that using computer software did improve student interest and participation. Contains 13 references. (Author/ASK)

Presents an activity that integrates biology and mathematics. Involves students in actual biological research and uses geometry, statistics, and computers to interpret data about the leaves of a tree. (ASK)

Describes four 50-minute lessons in which complex numbers are introduced to year-12 calculus students using hand-held calculators and laptop computers. (ASK)

Describes a study in which two groups of high-ability eighth-grade male students explored different kinds of functions independently using computer graphing technology. Reports that students in the treatment group scored higher than did students in the text-based typical control group. Contains 14 references. (Author/ASK)

Addresses the development and delivery of an introductory-level mathematics course for the liberal arts student over a Distance Learning Network. Discusses advisement guidelines for students, types of communication among students and between students and the instructor, testing, and links to World Wide Web sites for both the course material and…

While many technological capabilities are under development and may turn out to be an optimal future microworld, it is necessary to study the current widespread solution of supporting exploration and learning of school algebra with packages of mathematics software components. Describes and discusses software tools for school algebra. (Contains 45…

Describes three labs designed to help students in a first course on ordinary differential equations with three of the most common numerical difficulties they might encounter when solving initial value problems with a numerical software package. The goal of these labs is to help students advance to independent work on common numerical anomalies.…

Describes a spreadsheet model for approximating square roots then extends that model into the intriguing domain of chaos. Focuses on the use of a dynamic model to promote habits of mathematical reasoning, conjecturing, and graphing analysis that support mathematics learning across grade levels. (ASK)

Describes two activities that involve thinking of slope as rate of change. Uses a calculator-based laboratory, graphing calculator, appropriate probes, and web sites to make the concepts of slope and y-intercept come alive for middle grade students. (ASK)

Uses a traditional approach with problem solving, a concrete approach with manipulatives, and a visual approach with computer spreadsheets to teach the arithmetic mean to 22 children in grades 4-6 in three multiage groups. Differences among pretest, posttest, and interview performances suggest some advantage to the use of a visual instructional…

Reports on a case study investigating how secondary preservice mathematics teachers perceive the need for and the benefits of formal proof when given geometric tasks in the context of dynamic geometry software. Results indicate that preservice teachers are concerned that after using dynamic software, high school students will not see the need for…