Adventures in Learning: Creating Role Playing Video Games to Teach and Learn Economics

This article examines pedagogical lessons derived from the learning theory embodied in commercially successfully video games and their link to reported increases in 'fluid intelligence' of student populations. The scholarly literature in this area is reviewed in order to elicit practical principles by which to guide the development of instructional video game modules for the teaching of economics. The authors' experiences in developing and pilot testing such a module, and in subsequently guiding student research efforts to develop an additional module, are then reviewed. The paper concludes that harnessing the benefits of video game technologies in the service of teaching and learning economics is both pedagogically sound and feasible for individual instructors.

Integrals of a C-1-compatible triangular surface element

Definite integrals are evaluated for the cardinal functions of an interpolation method which provides C sup 1 continuity over a triangular grid

Study of the accuracy of the double-precision arithmetic operations on the IBM 7094 computer

Accuracy of double-precision arithmetic operations on IBM 7094 compute

Some properties of n-dimensional triangulations

A number of mathematical results relevant to the problem of constructing a triangulation, i.e., a simplicial tessellation, of the convex hull of an arbitrary finite set of points in n-space are described. The principal results achieved are: (1) a set of n+2 points in n-space may be triangulated in at most 2 different ways; (2) the sphere test defined in this report selects a preferred one of these two triangulations; (3) a set of parameters is defined that permits the characterization and enumeration of all sets of n+2 points in n-space that are significantly different from the point of view of their possible triangulation; (4) the local sphere test induces a global sphere test property for a triangulation; and (5) a triangulation satisfying the global sphere property is dual to the n-dimensional Dirichlet tesselation, i.e., it is a Delaunay triangulation

The covariance matrix for the solution vector of an equality-constrained least-squares problem

Methods are given for computing the covariance matrix for the solution vector of an equality-constrained least squares problem. The methods are matched to the solution algorithms given in the book, 'Solving Least Squares Problems.

Sparse matrix methods based on orthogonality and conjugacy

A matrix having a high percentage of zero elements is called spares. In the solution of systems of linear equations or linear least squares problems involving large sparse matrices, significant saving of computer cost can be achieved by taking advantage of the sparsity. The conjugate gradient algorithm and a set of related algorithms are described

C super 1: Compatible interpolation over a triangle

An elementary derivation and a complete description is given of an algorithm for interpolation over a plane triangle when function values and first partial derivatives are given at the vertices. The method gives C1 continuity with neighboring triangles. The interpolation method is mathematically equivalent to one that has been discussed previously in the literature; however, the algorithmic form given here is more efficient than has previously been described

Ways of seeing evaluation

Copyright @ 2011 Brunel UniversityThis report summarises the evaluation of Ways of Seeing, a community arts project funded by the Heritage Lottery Fund and hosted by the Lightbox, Woking, Surrey from 2008-11. The people involved have had remarkable experiences, choosing how to take part in each stage of preparations for a major public art exhibition. All those involved had disabilities, primarily arising from mental health issues but also including physical disabilities. The project was skilfully designed and led to enable them to make a significant contribution, enhancing their well-being and resulting in the Ways of Seeing exhibition which was widely appreciated. The Lightbox is an award-winning museum, housing a permanent local history exhibition as well as touring major art exhibitions. The Ingram Modern Art collection is on permanent loan, with regular exhibitions of work from the collection. Since the Lightbox opened in 2007, it has had a stated intention to promote local community involvement, successfully obtaining external funding to support this work. Ways of Seeing was the most ambitious project to date, aiming to exhibit selected work from the Ingram Collection alongside art created as part of the project by local disabled people. The emphasis on ways of seeing reflected an interest in their diverse perspectives, especially in relation to long term mental health problems. A steering group was set up, with members from local mental health initiatives and an evaluation team from Brunel University. The project started by orientating participants to how art is created and exhibited, with a series of visits and workshops on major art collections and artists’ studios. This stage successfully attracted a range of people and was followed by taster workshops of different art techniques. Then participants examined every item in the Ingram Collection and agreed a selection to inspire their own artistic responses. All-day workshops were convened, covering the same techniques as before and giving everyone space and time to get started. Curation of the exhibition gathered pace as final selections were made from participants’ art works and the Ingram Collection. The exhibition offered opportunities for everyone to have selections of their work exhibited to the public alongside the selected work from the Ingram Collection. A video artist captured the project in film and an MSc occupational therapy student from Brunel University undertook independent interviews of participants. It is clear that this multi-stage and carefully considered approach was highly successful in engaging people who are often excluded from arts events and venues. It was also successful in engaging the public in an innovative and thought-provoking exhibition, challenging assumptions about mental health and promoting the benefits of participation. The willingness of the Lightbox to host and support the project was essential. Based on tolerance, respect and a sympathetic curiosity, with clear and skilled leadership, the project enabled participants to make significant changes in their own lives.This study was funded by the Heritage Lottery Fund

Implementation of a block Lanczos algorithm for Eigenproblem solution of gyroscopic systems

The details of implementation of a general numerical procedure developed for the accurate and economical computation of natural frequencies and associated modes of any elastic structure rotating along an arbitrary axis are described. A block version of the Lanczos algorithm is derived for the solution that fully exploits associated matrix sparsity and employs only real numbers in all relevant computations. It is also capable of determining multiple roots and proves to be most efficient when compared to other, similar, exisiting techniques