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International Journal of Mathematical Education in Science and Technology

2002 Volume 33, Number 2

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Table of Contents

Number of articles: 19

  1. Simulating Harmonic Oscillator and Electrical Circuits: A Didactical Proposal

    Giovannina Albano, Ciro D'Apice & Stefania Tomasiello

    A Mathematica[TM] package is described that uses simulations and animations to illustrate key concepts in harmonic oscillation and electric circuits for students not majoring in physics or... More

    pp. 157-170

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  2. Measurement Model for Division as a Tool in Computing Applications

    Sergei Abramovich & Tracy Strock

    The paper describes the use of a spreadsheet in a mathematics teacher education course. It shows how the tool can serve as a link between seemingly disconnected mathematical concepts. The... More

    pp. 171-185

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  3. From Mathematical Modelling to Design Based Learning; a Bridge too Far?

    Jacob Perrenet & Ivo Adan

    Describes the introduction of the Modelling Track in a Mathematical Engineering curriculum as a response to the employers' complaints about Dutch graduates' poor ability to apply theoretical... More

    pp. 187-197

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  4. An Applied Statistics Course for Systematics and Ecology PhD Students

    Mario Miguel Ojeda & Victoria Sosa

    Statistics education is under review at all educational levels. Statistical concepts, as well as the use of statistical methods and techniques, can be taught in at least two contrasting ways.... More

    pp. 199-211

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  5. Circulant Matrices and Time-Series Analysis

    D S. G. Pollock

    This paper sets forth some salient results in the algebra of circulant matrices which can be used in time-series analysis. It provides easy derivations of some results that are central to the... More

    pp. 213-230

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  6. Some Graphs Containing Unique Hamiltonian Cycles

    Mark A. M. Lynch

    In this paper, two classes of graphs of arbitrary order are described which contain unique Hamiltonian cycles. All the graphs have mean vertex degree greater than one quarter the order of the graph... More

    pp. 231-240

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  7. Solution of Poisson's Equation with Global, Local and Nonlocal Boundary Conditions

    Nihan Aliev & Mohammad Jahanshahi

    Boundary value problems (BVPs) for partial differential equations are common in mathematical physics. The differential equation is often considered in simple and symmetric regions, such as a circle... More

    pp. 241-247

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  8. An Inductive Proof for an Identity involving (nk) and the Partial Sums of some Series

    Bai-Ni Guo & Feng Qi

    In this note involving mathematical induction, an identity involving the combinatorial numbers and the partial sums of the harmonic and related series is verified. (Author) More

    pp. 249-253

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  9. One Interesting Family of Diophantine Triplets

    M N. Deshpande

    In this note properties of two sequences generated by the recurrence relation G[subscript n] +2 = 4 G[subscript n] +1 - G[subscript n], are studied. It is shown that one of the sequences leads to a... More

    pp. 253-256

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  10. Trinomial Formula, Pascal- and Sierpinski-Pyramid

    H Zeitler

    Stimulated by a picture of a Sierpinski-pyramid and an article by Stewart, students were asked about a connection between this pyramid and the well-known trinomial formula. The results of all the... More

    pp. 256-266

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  11. Conditional Convergence of Numerical Series

    E Gomez & A Plaza

    One of the most astonishing properties when studying numerical series is that the sum is not commutative, that is the sum may change when the order of its elements is altered. In this note an... More

    pp. 267-272

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  12. A Magic Decomposition

    James Guyker

    A lively example to use in a first course in linear algebra to clarify vector space notions is the space of square matrices of fixed order with its subspaces of affine, coaffine, doubly affine, and... More

    pp. 272-276

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  13. A Converse of the Mean Value Theorem for Integrals

    Jingcheng Tong & Peter A. Braza

    This note considers continuous functions f on an interval [a, b] and develops sufficient conditions to answer the question, for what points c in the interval is there a rectangle with height f(c)... More

    pp. 277-279

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  14. Dimensional Analysis: an Elegant Technique for Facilitating the Teaching of Mathematical Modelling

    Temple H. Fay & Stephan V. Joubert

    Dimension analysis is promoted as a technique that promotes better understanding of the role of units and dimensions in mathematical modeling problems. Dimensional analysis is shown to lead to... More

    pp. 280-293

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  15. Units of Measurement

    N A. Fava & U Molter

    It is shown that the symbols for the fundamental units of mechanics, namely length, time and mass, are capable of a meaningful interpretation as positive real parameters. Then a suitable parameter ... More

    pp. 293-299

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  16. A Construction Method for Measures of Central Tendency and Dispersion

    K Fazli & J Behboodian

    The purpose of this note is to give a construction method for measures of central tendency and dispersion of a set of data on the basis of some symmetric multivariate functions and distance... More

    pp. 299-302

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  17. A Note on Twin Primes and the Modular Ring Z[subscript 6]

    J V. Leyendekkers & A G. Shannon

    The modular ring Z[subscript 6] defines integers via ( 6r[subscript i] + ( i - 3)) where i is the class and r[subscript i] the row when tabulated in an array. Since only Classes 2[subscipt 6] and 4... More

    pp. 303-306

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  18. On a New Trigonometric Identity

    Hongwei Chen

    A new trigonometric identity derived from factorizations and partial fractions is given. This identity is used to evaluate the Poisson integral via Riemann sum and to establish some trigonometric... More

    pp. 306-309

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  19. Regression Analyses on the Butterfly Ballot Effect: A Statistical Perspective of the US 2000 Election

    Dane W. Wu

    The year 2000 US presidential election between Al Gore and George Bush has been the most intriguing and controversial one in American history. The state of Florida was the trigger for the... More

    pp. 309-317

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