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International Journal of Mathematical Education in Science and Technology

2002 Volume 33, Number 2

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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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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