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International Journal of Mathematical Education in Science and Technology

2004 Volume 35, Number 1

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Table of Contents

Number of articles: 15

  1. Conjectures and Proofs in a Dynamic Geometry Environment

    Arsalan Wares

    Students' difficulty with reasoning and justification in the context of proofs in geometry has been well documented. Studies reveal that many of the ideas that students are asked to prove are known... More

    pp. 1-10

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  2. Applications of Differential Geometry to Cartography

    Julio Benitez & Nestor Thome

    This work introduces an application of differential geometry to cartography. The mathematical aspects of some geographical projections of Earth surface are revealed together with some of its more... More

    pp. 29-38

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  3. Computers in Abstract Algebra

    Kenneth K. Nwabueze

    The current emphasis on flexible modes of mathematics delivery involving new information and communication technology (ICT) at the university level is perhaps a reaction to the recent change in the... More

    pp. 39-49

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  4. Convergence of a Linear Recursive Sequence

    E G. Tay, T L. Toh, F M. Dong & T Y. Lee

    A necessary and sufficient condition is found for a linear recursive sequence to be convergent, no matter what initial values are given. Its limit is also obtained when the sequence is convergent. ... More

    pp. 51-63

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  5. Learning Statistical Concepts

    Muhammad Akram, Asim Jamal Siddiqui & Farah Yasmeen

    In order to learn the concept of statistical techniques one needs to run real experiments that generate reliable data. In practice, the data from some well-defined process or system is very costly ... More

    pp. 65-72

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  6. What Is First-Year Mathematics Students' Actual Knowledge about Improper Integrals?

    Alejandro S. Gonzalez-Martin & Matias Camacho

    This paper analyses the answers of a group of first-year university Mathematics students to a questionnaire, with the aim of determining the difficulties they have when carrying out non-routine... More

    pp. 73-89

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  7. A Comparison of the Method of Least Squares and the Method of Averages. Classroom Notes

    P Glaister

    Two techniques for determining a straight line fit to data are compared. This article reviews two simple techniques for fitting a straight line to a set of data, namely the method of averages and... More

    pp. 101-111

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  8. Another Intuitive Approach to Stirling's Formula. Classroom Notes

    Thomas J. Osler

    An intuitive derivation of Stirling's formula is presented, together with a modification that greatly improves its accuracy. The derivation is based on the closed form evaluation of the gamma... More

    pp. 111-118

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  9. The Number "c" in Cauchy's Average Value Theorem. Classroom Notes

    Peter R. Mercer

    The location of the number "c" arising from Cauchy's Average Value Theorem is described when the size of the interval is small. This article discusses various generalizations of theorem 1, to the... More

    pp. 118-122

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  10. Sawtooth Functions. Classroom Notes

    Keith Hirst

    Using MAPLE enables students to consider many examples which would be very tedious to work out by hand. This applies to graph plotting as well as to algebraic manipulation. The challenge is to use ... More

    pp. 122-126

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  11. Maple[R] Version of the "Indian Rope Trick". Classroom Notes

    D G. Knight

    If the point of suspension of a multiple pendulum is suitably oscillated then the pendulum can remain in motion in an upside-down position. Since such pendulums can model flexible materials, this... More

    pp. 126-134

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  12. Area of Convex Regions as a Unifying Theme for the Review of Some Topics in First-Year College Courses. Classroom Notes

    Miriam Amit, Michael N. Fried & Pavel Satianov

    Teachers of first-year college mathematics and engineering courses must often spend considerable time reviewing material originally taught in high school. Instead of this being a mere exercise in... More

    pp. 135-144

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  13. An Alternative Approach to the Total Probability Formula. Classroom Notes

    Dane W. Wu Wu & Laura M. Bangerter

    Given a set of urns, each filled with a mix of black chips and white chips, what is the probability of drawing a black chip from the last urn after some sequential random shifts of chips among the ... More

    pp. 144-147

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  14. On an Acoustic Wave Equation Arising in Non-Equilibrium Gasdynamics. Classroom Notes

    Pallath Chandran

    The sixth-order wave equation governing the propagation of one-dimensional acoustic waves in a viscous, heat conducting gaseous medium subject to relaxation effects has been considered. It has been... More

    pp. 148-153

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  15. Recognizing Exponential Growth. Classroom Notes

    David E. Dobbs

    Two heuristic and three rigorous arguments are given for the fact that functions of the form Ce[kx], with C an arbitrary constant, are the only solutions of the equation dy/dx=ky where k is... More

    pp. 153-158

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