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International Journal of Mathematical Education in Science and Technology

Sep 15, 2006 Volume 37, Number 6

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Table of Contents

Number of articles: 11

  1. A Tale of Two Algorithms

    T Leviatan

    Real numbers are often a missing link in mathematical education. The standard working assumption in calculus courses is that there exists a system of "numbers", extending the rational number system... More

    pp. 629-642

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  2. Limits and the System of Near-Numbers

    Frank J. Swenton

    The paper details a comprehensive system for the treatment of the topic of limits--conceptually, computationally, and formally. The system addresses fundamental linguistic flaws in the standard... More

    pp. 643-663

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  3. Dragging as a Conceptual Tool in Dynamic Geometry Environments

    F Lopez-Real & A Leung

    Some "drag-to-fit" solutions given by student teachers to three geometric construction problems in a dynamic geometry environment (DGE) are analysed. The responses of a group of experienced... More

    pp. 665-679

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  4. Geometric and Algebraic Approaches in the Concept of Complex Numbers

    A Panaoura, Elia , A Gagatsis & G-P Giatilis

    This study explores pupils' performance and processes in tasks involving equations and inequalities of complex numbers requiring conversions from a geometric representation to an algebraic... More

    pp. 681-706

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  5. The Forced Soft Spring Equation

    T H. Fay

    Through numerical investigations, this paper studies examples of the forced Duffing type spring equation with [epsilon] negative. By performing trial-and-error numerical experiments, the existence ... More

    pp. 707-720

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  6. The Effect of Using Microsoft Excel in a High School Algebra Class

    Rachel A. Neurath & Larry J. Stephens

    The purpose of this study was to investigate the effect of integrating Microsoft Excel into a high school algebra class. The results indicate a slight increase in student achievement when Excel was... More

    pp. 721-726

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  7. Plane Transformations in a Complex Setting I: Homotheties-Translations

    T Dana-Picard

    A previous note described how complex numbers can be used for elementary analytic geometry in the plane, describing lines, circles and their intersections using complex Cartesian equations. In the ... More

    pp. 726-734

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  8. Statistical Estimation of Some Irrational Numbers Using an Extension of Buffon's Needle Experiment

    S Velasco, F L. Roman, A Gonzalez & J A. White

    In the nineteenth century many people tried to seek a value for the most famous irrational number, [pi], by means of an experiment known as Buffon's needle, consisting of throwing randomly a needle... More

    pp. 735-740

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  9. On the Local Maxima of a Constrained Quadratic Form

    Jahar L. Bhowmik

    This note presents a brief and partial review of the work of Broom, Cannings and Vickers [1]. It also presents some simple examples of an extension of the their formalism to non-symmetric matrices.... More

    pp. 740-745

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  10. Fast Modular Exponentiation and Elliptic Curve Group Operation in Maple

    S Y. Yan & G James

    The modular exponentiation, y[equivalent to]x[superscript k](mod n) with x,y,k,n integers and n [greater than] 1; is the most fundamental operation in RSA and ElGamal public-key cryptographic... More

    pp. 745-753

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  11. Fibonacci Cubes

    R L. Ollerton

    Two visual proofs illustrating a cubic Fibonacci number identity are given. These provide a basis for further activities and consideration of the use of visual approaches to other identities. More

    pp. 754-756

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