International Journal of Mathematical Education in Science and Technology
2004 Volume 35, Number 1
Table of Contents
Number of articles: 15

Conjectures and Proofs in a Dynamic Geometry Environment
Arsalan Wares
Students' difficulty with reasoning and justification in the context of proofs in geometry has been well documented. Studies reveal that many of the ideas that students are asked to prove are known... More
pp. 110

Applications of Differential Geometry to Cartography
Julio Benitez & Nestor Thome
This work introduces an application of differential geometry to cartography. The mathematical aspects of some geographical projections of Earth surface are revealed together with some of its more... More
pp. 2938

Computers in Abstract Algebra
Kenneth K. Nwabueze
The current emphasis on flexible modes of mathematics delivery involving new information and communication technology (ICT) at the university level is perhaps a reaction to the recent change in the... More
pp. 3949

Convergence of a Linear Recursive Sequence
E G. Tay, T L. Toh, F M. Dong & T Y. Lee
A necessary and sufficient condition is found for a linear recursive sequence to be convergent, no matter what initial values are given. Its limit is also obtained when the sequence is convergent. ... More
pp. 5163

Learning Statistical Concepts
Muhammad Akram, Asim Jamal Siddiqui & Farah Yasmeen
In order to learn the concept of statistical techniques one needs to run real experiments that generate reliable data. In practice, the data from some welldefined process or system is very costly ... More
pp. 6572

What Is FirstYear Mathematics Students' Actual Knowledge about Improper Integrals?
Alejandro S. GonzalezMartin & Matias Camacho
This paper analyses the answers of a group of firstyear university Mathematics students to a questionnaire, with the aim of determining the difficulties they have when carrying out nonroutine... More
pp. 7389

A Comparison of the Method of Least Squares and the Method of Averages. Classroom Notes
P Glaister
Two techniques for determining a straight line fit to data are compared. This article reviews two simple techniques for fitting a straight line to a set of data, namely the method of averages and... More
pp. 101111

Another Intuitive Approach to Stirling's Formula. Classroom Notes
Thomas J. Osler
An intuitive derivation of Stirling's formula is presented, together with a modification that greatly improves its accuracy. The derivation is based on the closed form evaluation of the gamma... More
pp. 111118

The Number "c" in Cauchy's Average Value Theorem. Classroom Notes
Peter R. Mercer
The location of the number "c" arising from Cauchy's Average Value Theorem is described when the size of the interval is small. This article discusses various generalizations of theorem 1, to the... More
pp. 118122

Sawtooth Functions. Classroom Notes
Keith Hirst
Using MAPLE enables students to consider many examples which would be very tedious to work out by hand. This applies to graph plotting as well as to algebraic manipulation. The challenge is to use ... More
pp. 122126

Maple[R] Version of the "Indian Rope Trick". Classroom Notes
D G. Knight
If the point of suspension of a multiple pendulum is suitably oscillated then the pendulum can remain in motion in an upsidedown position. Since such pendulums can model flexible materials, this... More
pp. 126134

Area of Convex Regions as a Unifying Theme for the Review of Some Topics in FirstYear College Courses. Classroom Notes
Miriam Amit, Michael N. Fried & Pavel Satianov
Teachers of firstyear college mathematics and engineering courses must often spend considerable time reviewing material originally taught in high school. Instead of this being a mere exercise in... More
pp. 135144

An Alternative Approach to the Total Probability Formula. Classroom Notes
Dane W. Wu Wu & Laura M. Bangerter
Given a set of urns, each filled with a mix of black chips and white chips, what is the probability of drawing a black chip from the last urn after some sequential random shifts of chips among the ... More
pp. 144147

On an Acoustic Wave Equation Arising in NonEquilibrium Gasdynamics. Classroom Notes
Pallath Chandran
The sixthorder wave equation governing the propagation of onedimensional acoustic waves in a viscous, heat conducting gaseous medium subject to relaxation effects has been considered. It has been... More
pp. 148153

Recognizing Exponential Growth. Classroom Notes
David E. Dobbs
Two heuristic and three rigorous arguments are given for the fact that functions of the form Ce[kx], with C an arbitrary constant, are the only solutions of the equation dy/dx=ky where k is... More
pp. 153158