Understanding decimal numbers : a foundation for correct calculations

This paper reports on the effectiveness of an intervention designed to improve nursing students’ conceptual understanding of decimal numbers. Results of recent intervention studies have indicated some success at improving nursing students’ numeracy through practice in applying procedural rules for calculation and working in real or simulated practical contexts. However, in this we identified a fundamental problem: a significant minority of students had an inadequate understanding of decimal numbers. The intervention aimed to improve nursing students’ basic understanding of the size of decimal numbers, so that, firstly, calculation rules are more meaningful, and secondly, students can interpret decimal numbers (whether digital output or results of calculations) sensibly. A well-researched, time-efficient diagnostic instrument was used to identify individuals with an inadequate understanding of decimal numbers. We describe a remedial intervention that resulted in significant improvement on a delayed post-intervention test. We conclude that nurse educators should consider diagnosing and, as necessary, plan for remediation of students’ foundational understanding of decimal numbers before teaching procedural rules.

Contests with the probability of a draw : a stochastic foundation

This article proposes a stochastic foundation for the contest success function (CSF for short) with a richer structure on the set of possible outcomes of the contest. Specifically, the analysis allows for the possibility of a draw, so that no contestant can claim a victory over all other players. Under plausible conditions, this article not only discovers new functional forms of CSFs, but also shows the newly derived CSFs have very different properties in equilibrium to those of conventional CSFs. For example, in contrast to the CSFs discussed in the contest literature, which always generate a unique pure strategy Nash equilibrium, the newly discovered CSFs admit the possibility of multiple equilibria.