University of Warwick

About: University of Warwick is a education organization based out in Coventry, Warwickshire, United Kingdom. It is known for research contribution in the topics: Population & White dwarf. The organization has 26212 authors who have published 77127 publications receiving 2666552 citations. The organization is also known as: Warwick University & The University of Warwick.

Duality, Ambiguity and Flexibility: A Proceptual View of Simple Arithmetic

Abstract: In this paper we consider the duality between process and concept in mathematics, in particular using the same symbolism to represent both a process (such as the addition of two numbers 3+2) and the product of that process (the sum 3+2). The ambiguity of notation allows the successful thinker the flexibility in thought to move between the process to carry out a mathematical task and the concept to be mentally manipulated as part of a wider mental schema. We hypothesise that the successful mathematical thinker uses a mental structure which is an amalgam of process and concept which we call a procept. We give empirical evidence from simple arithmetic to show that this leads to a qualitatively different kind of mathematical thought between the more able and the less able, in which the less able are actually doing a more difficult form of mathematics, causing a divergence in performance between success and failure.

Prevalence of human papillomavirus in oropharyngeal and nonoropharyngeal head and neck cancer--systematic review and meta-analysis of trends by time and region.

Abstract: Background Little information has been reported on regional and time trends of human papillomavirus (HPV) prevalence rates of oropharyngeal cancer (OPC) and non-OPC. Methods The study consisted of a systematic review and meta-analysis using random effects logistic regression models. Results Overall HPV prevalence in OPC (47.7%; 95% confidence interval [CI], 42.9-52.5%) increased significantly over time: from 40.5% (95% CI, 35.1-46.1) before 2000, to 64.3% (95% CI, 56.7-71.3) between 2000 and 2004, and 72.2% (95% CI, 52.9-85.7) between 2005 and 2009 (p Conclusions The sharp increase in the proportion of HPV-positive OPC over the last decade has occurred at a faster rate in Europe compared with that in North America. In contrast, the relatively low prevalence of HPV in non-OPC remains unchanged.