International Journal of Mathematical Education in Science and Technology
September 2008 Volume 39, Number 6
Table of Contents
Number of articles: 12
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The Effect of Motion Analysis Activities in a Video-Based Laboratory in Students' Understanding of Position, Velocity and Frames of Reference
Eugenia Koleza & John Pappas
In this article, we present the results of a qualitative research project on the effect of motion analysis activities in a Video-Based Laboratory (VBL) on students' understanding of position,... More
pp. 701-723
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The Singing Wineglass: An Exercise in Mathematical Modelling
E L. Voges & S V. Joubert
Lecturers in mathematical modelling courses are always on the lookout for new examples to illustrate the modelling process. A physical phenomenon, documented as early as the nineteenth century, was... More
pp. 725-739
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The Mean as the Balance Point: Thought Experiments with Measuring Sticks
A Flores
This article presents activities to help students establish a connection between the mean and the balance point of a lever. The lever and its law are discussed briefly. Thought experiments with a... More
pp. 741-748
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Fibonacci Numbers Revisited: Technology-Motivated Inquiry into a Two-Parametric Difference Equation
Sergei Abramovich & Gennady A. Leonov
This article demonstrates how within an educational context, supported by the notion of hidden mathematics curriculum and enhanced by the use of technology, new mathematical knowledge can be... More
pp. 749-766
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Algorithmic Contexts and Learning Potentiality: A Case Study of Students' Understanding of Calculus
Kerstin Pettersson & Max Scheja
The study explores the nature of students' conceptual understanding of calculus. Twenty students of engineering were asked to reflect in writing on the meaning of the concepts of limit and integral... More
pp. 767-784
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Combinatorial Proofs of Honsberger-Type Identities
A Plaza & S Falcon
In this article, we consider some generalizations of Fibonacci numbers. We consider k-Fibonacci numbers (that follow the recurrence rule F[subscript k,n + 2] = kF[subscript k,n + 1] + F[subscript k... More
pp. 785-792
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The Effects of Designing Webquests on the Motivation of Pre-Service Elementary School Teachers
Erdogan Halat
The purpose of this study was to examine the effects of webquest-based applications on the pre-service elementary school teachers' motivation in mathematics. There were a total of 202 pre-service... More
pp. 793-802
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General Power Sums of Integers That Are, and Are Not, Represented in the Two-Element Frobenius Problem
N Gauthier
A general method is presented for evaluating the sums of "m"th powers of the integers that can, and that cannot, be represented in the two-element Frobenius problem. Generating functions are... More
pp. 803-814
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Conjectures Pertaining to Repeated Partitioning of a Triangle
Arsalan Wares
This note describes two conjectures pertaining to repeated partitioning of an arbitrary triangle. The first conjecture turns out to be true, and hence gives rise to a new, more general, conjecture ... More
pp. 814-819
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Sequences with M-Bonacci Property and Their Finite Sums
Muniru A. Asiru
The note introduces sequences having M-bonacci property. Two summation formulas for sequences with M-bonacci property are derived. The formulas are generalizations of corresponding summation... More
pp. 819-829
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On Integer Solutions of an Arctan Problem
P Glaister
A generalization of a well-known result for the arctangent function poses a number of interesting questions concerning the existence of integer solutions of related problems. More
pp. 829-833
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On the Dirichlet's Box Principle
Kin-Keung Poon & Wai-Chee Shiu
In this note, we will focus on several applications on the Dirichlet's box principle in Discrete Mathematics lesson and number theory lesson. In addition, the main result is an innovative game on a... More
pp. 833-838
