As I approach my 70th year in physics, let me tell my younger colleagues about my adventures with computation. When I was 14, my father gave me a slide rule because I appeared to be headed toward a career in physics. Since then, I have had experience with many other calculating devices.

Computer Algebra Systems (CAS) can be used to help understand the behavior of cubics and other families of curves. The analysis of the parameters associated with a family of curves can give insight into the behavior of the family and can be used within the context of a mathematical model to determine a policy for the implementation of the model in…

This paper discusses TI-89 and TI-92 graphing calculators as a tool for teaching mathematics. How this technology is likely to affect the teaching of mathematics and the role of technology in general is described. Discussion begins with a comparison of two areas, mathematics and moving/transportation, from a technological aspect, and focuses on…

Discusses the overuse of calculators in mathematics classrooms. Argues that the sole purpose of teaching mathematics is for thinking and discipline and these goals cannot be obtained when using calculators. (ASK)

In this article, the authors describe how to use a TI-73/83/84 graphing calculator and Vernier's LabPro/CBL2 probe system to take pH readings. This is not an endorsement of these products, but simply the authors' attempt to give readers an idea of what is involved in using this technology in the classroom. This activity can be accomplished using a…

This essay describes the role of graphing calculators in mathematics reform. Among the topics discussed are the history of graphing calculators in mathematics education, recent technological innovations, and professional development opportunities. The case is made for a balanced approach between calculator use and paper-and-pencil techniques.…

Not so long ago, the common response of teachers to high school use of computer algebra systems (CAS) was invariably along the lines of, "What will be left to teach if our students have access to devices which solve, factorise, do calculus and more?" and "If students use such tools, then they will never learn how to do their mathematics, and their…

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)

Asserts that there are numerous advantages to using graphing calculators, including the teaching of higher-level thinking skills and allowing students to draw conclusions about what they are learning. However, mathematics educators face such challenges as teaching students when it is appropriate to use graphing calculators, course-content…

Students undertaking mathematics courses in their final year of secondary education in Victoria are assessed using a combination of school based coursework assessment and examinations. Over the last decade, students have used technology such as graphics calculators, statistical software, spreadsheets, and computer algebra systems (CAS) extensively…

Concern is expressed that educators are rushing to purchase computers while calculators are being forgotten. The approach promoted is schools should make both calculators and computers an integral part of the mathematics curriculum. Calculators are noted as accepted learning tools that don't have deleterious effects on computation skills.…

A Maryland middle-school teacher can no longer imagine a math classroom without computers, word processing programs, graphing calculators, graphic design programs, and colored printers and monitors. Aided by these devices, her students made great leaps toward the 21st-century technology goals spelled out by the Department of Education in 1995.…

Characterizes algebra as a way of reasoning involving variables/functional relationships, generalization/modes of representation, and mathematical investigation/argument. Examines curricular goals; considers contributions of technology to reconceptualize algebra; and suggests directions for future development of tools and models, research agendas,…

Applies Gresham's Law ("bad money drives out good") to educators' overreliance on technology. Introducing more advanced "learning" technology without a concomitant emphasis on knowledge acquisition allows some students to operate at increasingly lower thought levels. Higher order thought processes will be displaced (and…

Programmable calculators are useful tools in the classroom that are often overlooked. This report gives examples of problems and activities that can be brought within the scope of such calculators. (MP)