This paper presents the conceptualisation of infinity as a multi-faceted concept, discussing two examples. The first is from history and illustrates the work of Euler, when using infinity in an algebraic context. The second sketches an activity in a school context, namely students who approach the definite integral with symbolic-graphic…

The purpose of this study was to determine the effects of an implementation plan that would support middle school science teachers as they integrated a specific technological tool, Calculator-Based Laboratory (CBL) probeware. The final goal of the implementation process was pedagogical and curricula transformation by the participants. The…

This paper discusses different ways of using statistics more creatively. One method begins with two conflicting headlines from newspapers and analyzes them statistically by using a graphing calculator. Other activities using graphing calculators are also presented. (ASK)

This study compared the test scores of AP Calculus students. Two methods were used to work the calculus problems: the traditional pencil and paper method and the graphing calculator method. Four researcher-constructed assessments on various calculus topics were administered over a six-week period to two sections of high school AP Calculus…

This paper presents three activities on how to analyze rates of change in real-life situations using TI-83 calculators and computer-based laboratories. Activities include 24 hour temperature data, the temperature of a light bulb, and an M&M toss. Each section contains descriptions of equipment/materials, data collection, and data analysis. The…

As part of the Electrical Engineering program at the Univesity of Southern Maine, students are typically introduced to Two's Complement algebra and representation, a method to include negative numbers in the binary representation of integers that is widely used in microprocessors and related digital systems. The traditional, procedural method to…

This issue of Mathematics Education Dialogues focuses on the use of calculators in the mathematics classroom. The eleven articles on this theme include: (1) "Groping and Hoping for a Consensus on Calculator Use" (Zalman Usiskin); (2) "Let's Abolish Pencil-and-Paper Arithmetic" (Anthony Ralston); (3) "Do We Need Calculators?" (Kim Mackey); (4) "How…

A method is described for finding those numbers which are both triangular and square (named trisqy numbers). A program for a programmable calculator is given, as well as a proof. (MNS)

A method for finding logarithms is outlined. Four-function calculators are used to simplify the computation for those who enjoy experimenting with numbers. (MNS)

A procedure for helping students to calculate logarithms with any calculator that has a square root function is outlined. (MNS)

Provided are some ideas on teaching elementary numerical methods to sixth-form students. Comments are included on the syllabus recently introduced at Advanced Level in Hong Kong. (MNS)

This brief review of research on calculators indicates that they will not harm achievement and that they are helpful in problem solving and for teaching other mathematical ideas. (MNS)

A procedure using calculators is described to test Ulam's conjecture that all positive integers converge to 1, if subject to certain iterated transformations. (MNS)

Presents the uses of pocket calculators, programmable calculators, and microcomputers in teaching of statistical physics in unit 9 of the Nuffield advanced physics course. (SK)