International Journal of Mathematical Education in Science and Technology
April 2008 Volume 39, Number 3
Table of Contents
Number of articles: 17

Mathematics Instruction and the Tablet PC
K Renee Fister & Maeve L. McCarthy
The use of tablet PCs in teaching is a relatively new phenomenon. A cross between a notebook computer and a personal digital assistant (PDA), the tablet PC has all of the features of a notebook... More
pp. 285292

Predicting Mathematical Aptitude for Higher Education
Betty McDonald
This present study seeks to predict mathematical aptitude for higher education by examining the relationship between mathematics results from the Caribbean Examinations Council (CXC) general... More
pp. 293299

Comparison among Different Patterns of Priority Vectors Estimation Methods
Stan Lipovetsky
Benford's law of the "first digits" states that in spite of intuitively expected equal frequency of 1/9 of the decimal digits r = 1, ... , 9 appearance on the first place of any number, various... More
pp. 301311

Behind the Scenes of PseudoProportionality
Modestina Modestou, Iliada Elia, Athanasios Gagatsis & Giorgos Spanoudis
In this study, we attempt to put in question students' spontaneous and uncritical application of the simple and neat mathematical formula of linearity. This is impelled with the help of a written... More
pp. 313324

How Does One Assess the Accuracy of Academic Success Predictors? ROC Analysis Applied to University Entrance Factors
JuanaMaria Vivo & Manuel Franco
This article attempts to present a novel application of a method of measuring accuracy for academic success predictors that could be used as a standard. This procedure is known as the receiver... More
pp. 325340

ComputerAided Assessment Questions in Engineering Mathematics Using "MapleTA"[R]
I S. Jones
The use of "MapleTA"[R] in the assessment of engineering mathematics at Liverpool John Moores University (JMU) is discussed with particular reference to the design of questions. Key aspects in the ... More
pp. 341356

Estimation of Return Values of Wave Height: Consequences of Missing Observations
Jesper Ryden
Extremevalue statistics is often used to estimate socalled return values (actually related to quantiles) for environmental quantities like wind speed or wave height. A basic method for estimation... More
pp. 357363

Intuitive Understanding of Solutions of Partially Differential Equations
Y Kobayashi
This article uses diagrams that help the observer see how solutions of the wave equation and heat conduction equation are obtained. The analytical approach cannot necessarily show the mechanisms of... More
pp. 365371

Nearest Neighbour: A Test to See if Data Points Attract Each Other, Repel Each Other or Are Randomly Distributed
P Belcher
In this note the Nearest Neighbour Index is investigated in three cases, linear, 2dimensional and 3dimensional. In each case the formula is investigated and the numerical values for the data... More
pp. 371383

Alternative Proofs for Inequalities of Some Trigonometric Functions
BaiNi Guo & Feng Qi
By using an identity relating to Bernoulli's numbers and power series expansions of cotangent function and logarithms of functions involving sine function, cosine function and tangent function,... More
pp. 384389

The Implicit Function Theorem and NonExistence of Limit of Functions of Several Variables
A L. C. dos Santos & P N. da Silva
We use the Implicit Function Theorem to establish a result of nonexistence of limit to a certain class of functions of several variables. We consider functions given by quotients such that both... More
pp. 389394

On a Particular Case of Series
E Capelas de Oliveira
We present a general formula for a triple product involving four real numbers. As a particular case, we get the sum of a triple product of four odd integers. Some interesting results are recovered.... More
pp. 394399

Generalized Laplace Transforms and Extended Heaviside Calculus
Michael A. B. Deakin
An extended Heaviside calculus proposed by Peraire in a recent paper is similar to a generalization of the Laplace transform proposed by the present author. This similarity will be illustrated by... More
pp. 400403

A Proof of the Collatz Conjecture
Paul S. Bruckman
An elementary proof by contradiction of the Collatz Conjecture (CC) (also known as the "3X + 1" Conjecture), is presented. A modified form of the Collatz transformation is formulated, leading to... More
pp. 403407

The Law of Cosines for an "n"Dimensional Simplex
Yiren Ding
Using the divergence theorem technique of L. Eifler and N.H. Rhee, "The ndimensional Pythagorean Theorem via the Divergence Theorem" (to appear: Amer. Math. Monthly), we extend the law of cosines ... More
pp. 407410

Systems of Differential Equations with SkewSymmetric, Orthogonal Matrices
P Glaister
The solution of a system of linear, inhomogeneous differential equations is discussed. The particular class considered is where the coefficient matrix is skewsymmetric and orthogonal, and where... More
pp. 410418

Orthocenters of Triangle on the Unit Hypersphere
Young Joon Ahn & Ji Hye Lee
In this note, we present a property of the orthocenters of triangle on the unit hypersphere. More
pp. 419421