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International Journal of Mathematical Education in Science and Technology

July 2007 Volume 38, Number 5

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Table of Contents

Number of articles: 15

  1. Undergraduate Research in Mathematics as a Curricular Option

    D Brown & O Yurekli

    In this paper, a model is outlined for integrating research activities with undergraduates within the mathematics curriculum. Introducing a sequence of courses designed to engage students in... More

    pp. 571-580

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  2. Team Teaching and Cooperative Groups in Abstract Algebra: Nurturing a New Generation of Confident Mathematics Teachers

    R Grassl & T T. Y. Mingus

    Experiences in designing and teaching a reformed abstract algebra course are described. This effort was partially a result of a five year statewide National Science Foundation (NSF) grant entitled ... More

    pp. 581-597

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  3. Using Dynamic Geometry to Stimulate Students to Provide Proofs

    A Wares

    The purpose of this paper is to provide examples of "non-traditional conjectures" in a dynamic geometry environment that can be used to stimulate students to provide proofs. The author believes... More

    pp. 599-608

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  4. Interpreting a Graph and Constructing Its Derivative Graph: Stability and Change in Students' Conceptions

    Behiye Ubuz

    This present study investigated engineering students' conceptions and misconceptions related to derivative, particularly interpreting the graph of a function and constructing its derivative graph. ... More

    pp. 609-637

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  5. Writing in Groups as a Tool for Non-Routine Problem Solving in First Year University Mathematics

    J A. Taylor & C McDonald

    Development of mathematical problem solving skills is an age old problem in mathematics. This paper details the design of a component of a first year university mathematics course in which group... More

    pp. 639-655

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  6. The Row-Column Multiplication of High Dimensional Rhotrices

    B Sani

    This paper presents the row-column multiplication of rhotrices that are of high dimension. This is an extension of the same multiplication carried out on rhotrices of dimension three, considered to... More

    pp. 657-662

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  7. The Dynamics of Odd Sawtooth Functions

    D Sprows

    This note considers a family of piece-wise linear functions that can be used in the classroom to illustrate various concepts involved in iteration theory such as periodicity. These functions... More

    pp. 663-666

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  8. The Remainder Method for Sample Percentiles

    A H. Joarder & M R. Abujiya

    A method called the Remainder Method is proposed for the calculation of sample quantiles of a given order, for example, quartiles, hexatiles, octatiles, deciles and percentiles assuming that all... More

    pp. 667-676

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  9. Fibonacci Imposters

    C S. Simons & M Wright

    With Simson's 1753 paper as a starting point, the current paper reports investigations of Simson's identity (also known as Cassini's) for the Fibonacci sequence as a means to explore some... More

    pp. 677-682

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  10. Magic Squares with Magic Inverses

    James Guyker

    Characteristic polynomials are used to determine when magic squares have magic inverses. A resulting method constructs arbitrary examples of such squares. More

    pp. 683-688

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  11. A Simple Game to Derive Lognormal Distribution

    E Omey & S Van Gulck

    In the paper we present a simple game that students can play in the classroom. The game can be used to show that random variables can behave in an unexpected way: the expected mean can tend to zero... More

    pp. 689-695

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  12. Relations between Roots and Coefficients of Cubic Equations with One Root Negative the Reciprocal of Another

    M A. Asiru

    Under predetermined conditions on the roots and coefficients, necessary and sufficient conditions relating the coefficients of a given cubic equation x[cubed] + ax[squared] + bx + c = 0 can be... More

    pp. 695-699

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  13. Divisibility by 4 and 8 for Smaller Natural Numbers

    S Chakraborty

    This short note demonstrates that even for smaller natural numbers, one can have some rule to follow when it comes to studying the divisibility by 4 and 8. One need not actually divide the number. More

    pp. 699-701

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  14. Affine Contractions on the Plane

    D Celik, Y Ozdemir & M Ureyen

    Contractions play a considerable role in the theory of fractals. However, it is not easy to find contractions which are not similitudes. In this study, it is shown by counter examples that an... More

    pp. 701-707

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  15. The Effect of Data Scaling on Dual Prices and Sensitivity Analysis in Linear Programs

    V G. Adlakha & R R. Vemuganti

    In many practical situations scaling the data is necessary to solve linear programs. This note explores the relationships in translating the sensitivity analysis between the original and the scaled... More

    pp. 708-713

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