Does use of touch screen computer technology improve classroom engagement in children?

Many studies have shown that the use of technology in the classroom may influence pupil engagement. Despite the recent widespread use of tablet technology, however, very little research has been carried out into their use in a primary school setting. We investigated the use of tablet computers, specifically Apple’s ‘iPad’, in an upper primary school setting with regard to children’s engagement. Cognitive, emotional and general engagement was higher in lessons based on iPads than those which were not. There was no difference in behavioral engagement. Of particular significance was the increase in engagement seen in boys, which resulted in their engagement levels increasing to levels comparable to those seen in girls. These findings suggest that tablet technology has potential as a tool in the classroom setting

The 2008 R-ISEW (regional index of sustainable economic well-being) for all the English regions

This report presents new data calculated in 2008 for the years 1994–2006. The latest data, which also includes the updating of several sets of figures which previously had to be estimated for 2005, show that a 10-year increase in R-ISEW since 1994 has come to a halt, and that R-ISEW per capita actually began declining between 2004 and 2006 despite increasing GVA

Borel circle squaring

We give a completely constructive solution to Tarski's circle squaring problem. More generally, we prove a Borel version of an equidecomposition theorem due to Laczkovich. If $k \geq 1$ and $A, B \subseteq \mathbb{R}^k$ are bounded Borel sets with the same positive Lebesgue measure whose boundaries have upper Minkowski dimension less than $k$, then $A$ and $B$ are equidecomposable by translations using Borel pieces. This answers a question of Wagon. Our proof uses ideas from the study of flows in graphs, and a recent result of Gao, Jackson, Krohne, and Seward on special types of witnesses to the hyperfiniteness of free Borel actions of $\mathbb{Z}^d$.Comment: Minor typos correcte

Measurable realizations of abstract systems of congruences

An abstract system of congruences describes a way of partitioning a space into finitely many pieces satisfying certain congruence relations. Examples of abstract systems of congruences include paradoxical decompositions and $n$-divisibility of actions. We consider the general question of when there are realizations of abstract systems of congruences satisfying various measurability constraints. We completely characterize which abstract systems of congruences can be realized by nonmeager Baire measurable pieces of the sphere under the action of rotations on the $2$-sphere. This answers a question of Wagon. We also construct Borel realizations of abstract systems of congruences for the action of $\mathsf{PSL}_2(\mathbb{Z})$ on $\mathsf{P}^1(\mathbb{R})$. The combinatorial underpinnings of our proof are certain types of decomposition of Borel graphs into paths. We also use these decompositions to obtain some results about measurable unfriendly colorings.Comment: minor correction

The 2009 R-ISEW (regional index of sustainable economic well-being) for all the English regions

This latest report presents new data calculated in 2009 for the years 1994–2007. The data, which also includes the updating of several sets of figures that previously had to be estimated for 2006, show that a nine-year increase in the English R-ISEW since 1994, began to peter out in 2003, such that total per capita growth between 2003 and 2007 was only 2.4%. Indeed, between 2005 and 2006, per capita R-ISEW fell slightly

Measuring regional progress: regional index of sustainable economic well-being (R-ISEW) for all the English regions

This report describes the development and application of a Regional Index of Sustainable Economic Well-Being (R-ISEW), and calculates it for all English regions

The 2010 R-ISEW (regional index of sustainable economic well-being) for all the English regions

This is the fourth consecutive report presenting R-ISEW (regional index of sustainable economic well-being) calculations for the nine Government Office Regions (GORs) of England.1 New data available in the summer of 2010 allows a continuous time series from 1994 to 2008 – 15 years. Because of the nature of the data required for the R-ISEW, there is always a two-year lag before results for any given year can be completed