International Journal of Mathematical Education in Science and Technology
March 2008 Volume 39, Number 2
Table of Contents
Number of articles: 11

Dynamics of a Definition: A Framework to Analyse Student Construction of the Concept of Solution to a Differential Equation
Debasree Raychaudhuri
In this note we develop a framework that makes explicit the inherent dynamic structure of certain mathematical definitions by means of the four facets of contextentityprocessobject. These facets... More
pp. 161177

On MTEModel of Mathematics Teaching: Studying the Problems Related to a Plane Division Using the MTEModel
O BodrozaPantic, Snezana MaticKekic, Bogdanka Jakovljev & Doko Markovic
In this paper the didacticallymethodological procedure named the MTEmodel of mathematics teaching (Motivation testTeachingExamination test) is suggested and recommended when the teacher has... More
pp. 197213

Dynamic Visual Computer Design for Factors and Multiples Word Problem Learning
Chejen Hsieh & Shouhua Lin
This study employs the Excel function to design dynamic visual activities for factors and multiples word problem learning. A teaching experiment was carried out eight times in 4 weeks on three... More
pp. 215232

The Sum of the Squares of the First "n" Natural Numbers: Two Different but Similar Approaches, and a Bonus
Pere Grima & Lluis Marco
This note presents two demonstrations of the known formula for the sum of squares of the first n natural numbers. One demonstration is based on geometrical considerations and the other one uses... More
pp. 233238

Solving SecondOrder Differential Equations with Variable Coefficients
A Wilmer & G B. Costa
A method is developed in which an analytical solution is obtained for certain classes of secondorder differential equations with variable coefficients. By the use of transformations and by... More
pp. 238243

Conversion of a Rhotrix to a "Coupled Matrix"
B Sani
In this note, a method of converting a rhotrix to a special form of matrix termed a "coupled matrix" is proposed. The special matrix can be used to solve various problems involving n x n and (n  1... More
pp. 244249

How Long Was the Coast of Ireland? Investigating the Variation of the Fractal Dimension of Maps over Time
M McCartney, D Myers & Y Sun
The divider dimensions of a range of maps of Ireland dating from 1567 to 1893 are evaluated, and it is shown that for maps produced before 1650 the fractal dimension of the map can be correlated to... More
pp. 249253

Seeing around a Ball: Complex, TechnologyBased Problems in Calculus with Applications in Science and EngineeringRedux
Brian Winkel
A complex technologybased problem in visualization and computation for students in calculus is presented. Strategies are shown for its solution and the opportunities for students to put together... More
pp. 253263

Estimation of HalfLife for Single Compartmental Elimination Models
R E. Mickens & S Rucker
A method is presented to calculate accurate approximations to the halflife values of elimination systems modelled by one compartment. The major advantage of this method is that only algebraic... More
pp. 263269

Derivation of the Hypergeometric Distribution: An Alternative Reasoning Approach
D S. Broca
This note presents an alternative approach to the reasoning process and derivation of the hypergeometric probability mass function (pmf), and contrasts it with a binomial model. It utilizes the... More
pp. 269273

Another Formulation of Euler's Formula and Its Application
Shozo Niizeki & Makoto Araki
This note gives an alternative formulation of Euler's formula. More
pp. 274276