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International Journal of Mathematical Education in Science and Technology

June 2008 Volume 39, Number 4

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Table of Contents

Number of articles: 13

  1. Integrating Supplementary Application-Based Tutorials in the Multivariable Calculus Course

    I M. Verner, S Aroshas & A Berman

    This article presents a study in which applications were integrated in the Multivariable Calculus course at the Technion in the framework of supplementary tutorials. The purpose of the study was to... More

    pp. 427-442

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  2. If Not, What Yes?

    Boris Koichu

    This article presents an instructional approach to constructing discovery-oriented activities. The cornerstone of the approach is a systematically asked question "If a mathematical statement under ... More

    pp. 443-454

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  3. Mathematical E-Learning: State of the Art and Experiences at the Open University of Catalonia

    A Juan, A Huertas, C Steegmann, C Corcoles & C Serrat

    In this article we present a review of the state of the art in mathematical e-learning and some personal experiences on this area developed during the last eleven years at the Open University of... More

    pp. 455-471

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  4. Unique Factorization in Cyclotomic Integers of Degree Seven

    W Ethan Duckworth

    This article provides a survey of some basic results in algebraic number theory and applies this material to prove that the cyclotomic integers generated by a seventh root of unity are a unique... More

    pp. 473-490

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  5. A College Lesson Study in Calculus, Preliminary Report

    Joy Becker, Petre Ghenciu, Matt Horak & Helen Schroeder

    Lesson Study is a process by which a team of instructors works collaboratively to plan, teach, observe and revise one particular lesson. A successful lesson study will not only result in a student-... More

    pp. 491-503

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  6. Introducing the Boundary Element Method with MATLAB

    Keng-Cheng Ang

    The boundary element method provides an excellent platform for learning and teaching a computational method for solving problems in physical and engineering science. However, it is often left out... More

    pp. 505-519

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  7. Modelling Truck Camper Production

    G R. Kramlich, G Kobylski & D Ahner

    This note describes an interdisciplinary project designed to enhance students' knowledge of the basic techniques taught in a multivariable calculus course. The note discusses the four main... More

    pp. 519-533

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  8. Identities for the Fibonacci Powers

    Alex Chen & Hongwei Chen

    Based on the generating functions, for any positive integers "n" and "k", identities are established and the explicit formula for a[subscript i](k) in terms of Fibonomial coefficients are presented... More

    pp. 534-541

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  9. Out of l'Hopital Clutches: An Example

    Jozef Dobos

    How to establish the limit lim[subscript x[right arrow]0](x minus sin x) divided by (x[superscript 3]) before learning about l'Hopital rule? The aim of this note is to answer this very reasonable... More

    pp. 541-544

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  10. Illustration of Regression towards the Means

    K Govindaraju & S J. Haslett

    This article presents a procedure for generating a sequence of data sets which will yield exactly the same fitted simple linear regression equation y = a + bx. Unless rescaled, the generated data... More

    pp. 544-550

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  11. Uniform Continuity on Unbounded Intervals

    Rodrigo Lopez Pouso

    We present a teaching approach to uniform continuity on unbounded intervals which, hopefully, may help to meet the following pedagogical objectives: (i) To provide students with efficient and... More

    pp. 551-557

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  12. Computing the Moore-Penrose Inverse of a Matrix with a Computer Algebra System

    Karsten Schmidt

    In this paper "Derive" functions are provided for the computation of the Moore-Penrose inverse of a matrix, as well as for solving systems of linear equations by means of the Moore-Penrose inverse.... More

    pp. 557-562

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  13. Identities for Generalized Fibonacci Numbers: A Combinatorial Approach

    A Plaza & S Falcon

    This note shows a combinatorial approach to some identities for generalized Fibonacci numbers. While it is a straightforward task to prove these identities with induction, and also by arithmetical ... More

    pp. 563-566

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