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International Journal of Mathematical Education in Science and Technology

2010 Volume 41, Number 8

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Table of Contents

Number of articles: 14

  1. Characterizing Student Mathematics Teachers' Levels of Understanding in Spherical Geometry

    Bulent Guven & Adnan Baki

    This article presents an exploratory study aimed at the identification of students' levels of understanding in spherical geometry as van Hiele did for Euclidean geometry. To do this, we developed... More

    pp. 991-1013

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  2. The Effects of Formalism on Teacher Trainees' Algebraic and Geometric Interpretation of the Notions of Linear Dependency/Independency

    E Ertekin, S Solak & E Yazici

    The aim of this study is to identify the effects of formalism in teaching on primary and secondary school mathematics teacher trainees' algebraic and geometric interpretations of the notions of... More

    pp. 1015-1035

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  3. Chances of Success in and Engagement with Mathematics for Students Who Enter University with a Weak Mathematics Background

    Cristina Varsavsky

    An increasing number of Australian students elect not to undertake studies in mathematical methods in the final years of their secondary schooling. Some higher education providers now offer... More

    pp. 1037-1049

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  4. Use of Total Possibilistic Uncertainty as a Measure of Students' Modelling Capacities

    Michael Gr. Voskoglou

    We represent the main stages of the process of mathematical modelling as fuzzy sets in the set of the linguistic labels of negligible, low intermediate, high and complete success by students in... More

    pp. 1051-1060

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  5. Teaching Calculus with Wolfram|Alpha

    Vincent E. Dimiceli, Andrew S. I. D. Lang & LeighAnne Locke

    This article describes the benefits and drawbacks of using Wolfram|Alpha as the platform for teaching calculus concepts in the lab setting. It is a result of our experiences designing and creating ... More

    pp. 1061-1071

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  6. Concerning the Integral dx/x[superscript m] (1+x)

    William Walters & Michael Huber

    Consider the integral dx/x[superscript m] (1+x). In the "CRC Standard Mathematical Tables," this integral can require repeated integral evaluations. Enter this integral into your favourite computer... More

    pp. 1073-1076

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  7. Making the Tent Function Complex

    David J. Sprows

    This note can be used to illustrate to the student such concepts as periodicity in the complex plane. The basic construction makes use of the Tent function which requires only that the student have... More

    pp. 1076-1078

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  8. A New Look at the Convergence of a Famous Sequence

    Mihaela Dobrescu

    A new proof for the monotonicity of the sequence [image omitted] is given as a special case of a large family of monotomic and bounded, hence convergent sequences. The new proof is based on basic... More

    pp. 1079-1085

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  9. Modelling the Spread of an Oil-Slick with Irregular Information

    Brian Winkel

    We describe a modelling activity for students in a course in which modelling with differential equations is appropriate. We have used this model in our coursework for years and have found that it... More

    pp. 1085-1096

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  10. On Counting the Rational Numbers

    Carlos Almada

    In this study, we show how to construct a function from the set N of natural numbers that explicitly counts the set Q[superscript +] of all positive rational numbers using a very intuitive approach... More

    pp. 1096-1101

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  11. Building Generalized Inverses of Matrices Using Only Row and Column Operations

    Jeffrey Stuart

    Most students complete their first and only course in linear algebra with the understanding that a real, square matrix "A" has an inverse if and only if "rref"("A"), the reduced row echelon form of... More

    pp. 1102-1113

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  12. Elementary Theory of Factoring Trinomials with Integer Coefficients over the Integers

    William A. Donnell

    An important component of intermediate and college algebra courses involves teaching students methods to factor a trinomial with integer coefficients over the integers. The aim of this article is... More

    pp. 1114-1121

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  13. log det "A" = tr log "A"

    Christopher S. Withers & Saralees Nadarajah

    We extend the well-known identity, log det A = tr log A, for any square non-singular matrix A. More

    pp. 1121-1124

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  14. A Short Remark on Fibonacci-Type Sequences, Mobius Strips and the [psi]-Function

    K T. Atanassov & A G. Shannon

    A base for linear recursive sequences, such as the sequence of Fibonacci numbers, is defined within the framework of the sum of the digits of a number. Examples of bases of a number of such... More

    pp. 1125-1127

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