International Journal of Mathematical Education in Science and Technology
2002 Volume 33, Number 2
Table of Contents
Number of articles: 19

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. 157170

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. 171185

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. 187197

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. 199211

Circulant Matrices and TimeSeries Analysis
D S. G. Pollock
This paper sets forth some salient results in the algebra of circulant matrices which can be used in timeseries analysis. It provides easy derivations of some results that are central to the... More
pp. 213230

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. 231240

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. 241247

An Inductive Proof for an Identity involving (nk) and the Partial Sums of some Series
BaiNi 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. 249253

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. 253256

Trinomial Formula, Pascal and SierpinskiPyramid
H Zeitler
Stimulated by a picture of a Sierpinskipyramid and an article by Stewart, students were asked about a connection between this pyramid and the wellknown trinomial formula. The results of all the... More
pp. 256266

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. 267272

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. 272276

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. 277279

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. 280293

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. 293299

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. 299302

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. 303306

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. 306309

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. 309317