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International Journal of Mathematical Education in Science and Technology

March 2008 Volume 39, Number 2

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Number of articles: 11

1. 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 context-entity-process-object. These facets... More

pp. 161-177

2. On MTE-Model of Mathematics Teaching: Studying the Problems Related to a Plane Division Using the MTE-Model

O Bodroza-Pantic, Snezana Matic-Kekic, Bogdanka Jakovljev & Doko Markovic

In this paper the didactically-methodological procedure named the MTE-model of mathematics teaching (Motivation test-Teaching-Examination test) is suggested and recommended when the teacher has... More

pp. 197-213

3. 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. 215-232

4. 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. 233-238

5. Solving Second-Order 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 second-order differential equations with variable coefficients. By the use of transformations and by... More

pp. 238-243

6. 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. 244-249

7. 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. 249-253

8. Seeing around a Ball: Complex, Technology-Based Problems in Calculus with Applications in Science and Engineering-Redux

Brian Winkel

A complex technology-based 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. 253-263

9. Estimation of Half-Life for Single Compartmental Elimination Models

R E. Mickens & S Rucker

A method is presented to calculate accurate approximations to the half-life values of elimination systems modelled by one compartment. The major advantage of this method is that only algebraic... More

pp. 263-269

10. 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. 269-273

11. 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. 274-276