International Journal of Mathematical Education in Science and Technology
Sep 15, 2006 Volume 37, Number 6
Table of Contents
Number of articles: 11
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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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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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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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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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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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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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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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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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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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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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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