The doodle of a finitely determined map germ from R(2) to R(3)

Let f : U subset of R(2) -> R(3) be a representative of a finitely determined map germ f : (R(2), 0) -> (R(3), 0). Consider the curve obtained as the intersection of the image of the mapping f with a sufficiently small sphere s(epsilon)(2) centered at the origin in R(3), call this curve the associated doodle of the map germ f. For a large class of map germs the associated doodle has many transversal self-intersections. The topological classification of such map germs is considered from the point of view of the associated doodles. (C) 2009 Elsevier Inc. All rights reserved.

A randomised control trial evaluation of a literacy after-school programme for struggling beginning readers

While there is evidence for effective in-school programmes
for struggling beginning readers, the evidence in relation to after-schools
interventions focusing on academic outcomes is particularly weak. This study
seeks to contribute to this body of evidence through a randomized trial (n=464)
of an after-school literacy programme (DoodleDen) for struggling beginning readers in a deprived area of Dublin, Ireland.

The programme based on a balanced literacy framework, was delivered in group
settings, and had a strong focus on staff development. Doodle Den was found to improve the children’s overall literacy (d=+0.17), teacher assessments of their literacy ability (d=+0.28) and to positively impact on problem behaviours in regular school class (d=-0.18). The implications for
the development of after-school programmes are discussed.