BECTA research project: International Baccalaureate E-Learning Laboratory (iBEL): evaluation report

The International Baccalaureate E-Learning Laboratory (iBEL) investigated the role that design-for-learning (D4L) plays in fostering independent learning on the International Baccalaureate programme using integrated open source platforms, namely Moodle and LAMS. Results from the project indicate these technologies increased independent learning, especially when teachers provided a clear framework by linking to pre-selected, reliable resources, and structured these through appropriate activities. Visual design was highly valued and learners enjoyed using resources containing rich media. In subject disciplines such as Modern Foreign Languages and English they were motivated by the integration of social learning tools, notably forum, glossary tools and chat. Students expected the use of technologies to form a part of their learning. Some teachers found that the use of the technologies assisted with long-term planning and enhanced their relationships with students. Adoption of a D4L system is more likely to succeed if introduced as a repository for existing content to which activities are later added and where it supports flexibility, fits the way that practitioners normally plan for learning, integrates easily with F2F teaching, contains a variety of easy to use tools, and accommodates the integration and updating of existing resources created by staff, such as Word, pdf and PowerPoint

A spinor approach to Walker geometry

A four-dimensional Walker geometry is a four-dimensional manifold M with a neutral metric g and a parallel distribution of totally null two-planes. This distribution has a natural characterization as a projective spinor field subject to a certain constraint. Spinors therefore provide a natural tool for studying Walker geometry, which we exploit to draw together several themes in recent explicit studies of Walker geometry and in other work of Dunajski (2002) and Plebanski (1975) in which Walker geometry is implicit. In addition to studying local Walker geometry, we address a global question raised by the use of spinors.Comment: 41 pages. Typos which persisted into published version corrected, notably at (2.15

Dynamical spacetimes in conformal gravity

The conformal gravity remarkably boosts our prehension of gravity theories. We find a series of dynamical solutions in the $W^2$-conformal gravity, including generalized Schwarzschild-Friedmann-Robertson-Walker (GSFRW), charged generalized Schwarzschild-Friedmann-Robertson-Walker (CGSFRW), especially rotating Friedmann-Robertson-Walker (RFRW), charged rotating Friedmann-Robertson-Walker (CRFRW), and a dynamical cylindrically symmetric solutions. The RFRW, CRFRW and the dynamical cylindrically symmetric solutions are never found in the Einstein gravity and modified gravities. The GSFRW and CGSFRW solutions take different forms from the corresponding solutions in the Einstein gravity.Comment: 13 pages, no fi

Scaling Properties of Random Walks on Small-World Networks

Using both numerical simulations and scaling arguments, we study the behavior of a random walker on a one-dimensional small-world network. For the properties we study, we find that the random walk obeys a characteristic scaling form. These properties include the average number of distinct sites visited by the random walker, the mean-square displacement of the walker, and the distribution of first-return times. The scaling form has three characteristic time regimes. At short times, the walker does not see the small-world shortcuts and effectively probes an ordinary Euclidean network in $d$-dimensions. At intermediate times, the properties of the walker shows scaling behavior characteristic of an infinite small-world network. Finally, at long times, the finite size of the network becomes important, and many of the properties of the walker saturate. We propose general analytical forms for the scaling properties in all three regimes, and show that these analytical forms are consistent with our numerical simulations.Comment: 7 pages, 8 figures, two-column format. Submitted to PR

Compliant walker

A compliant walker is provided for humans having limited use of their legs and lower back. It includes an upright wheel frame which at least partially surrounds an upright user wearing a partial body harness. It is attached to the frame by means of cable compliant apparatus consisting of sets of cable segments and angle bracket members connected between opposite side members of the frame and adjacent side portions of the harness. Novelty is believed to exist in the combination of a wheeled frame including a side support structure, a body harness, and compliance means connecting the body harness to the side support structure for flexibility holding and supporting a person in a substantially upright position when the user sags in the frame when taking weight off the lower extremities