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International Journal of Mathematical Education in Science and Technology

March 2008 Volume 39, Number 2

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Table of Contents

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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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