Development of prospective mathematics teachers’ professional noticing in a specific domain: proportional reasoning

The aim of this research is to identify aspects that support the development of prospective mathematics teachers’ professional noticing in a b-learning context. The study presented here investigates the extent to which prospective secondary mathematics teachers attend and interpret secondary school students’ proportional reasoning and decide how to respond. Results show that interactions in an on-line discussion improve prospective mathematics teachers’ ability to identify and interpret important aspects of secondary school students’ mathematical thinking.

Forecasting Elections with High Volatility

This article uses data from the social survey Allbus 1998 to introduce a method of forecasting elections in a context of electoral volatility. The approach models the processes of change in electoral behaviour, exploring patterns in order to model the volatility expressed by voters. The forecast is based on the matrix of transition probabilities, following the logic of Markov chains. The power of the matrix, and the use of the mover-stayer model, is debated for alternative forecasts. As an example of high volatility, the model uses data from the German general election of 1998. The unification of two German states in 1990 caused the incorporation of around 15 million new voters from East Germany who had limited familiarity and no direct experience of the political culture in West Germany. Under these circumstances, voters were expected to show high volatility.

Elections to the European Parliament and the trouble with vox populi. EPIN Commentary No. 12, 22 August 2013

Declining support for the European Union in many member states is causing some disquiet about the possibility of an even lower voter turnout in the upcoming European Parliament (EP) elections to be held next May. This discontent might well be exploited by populist anti-European parties and boost protest-vote participation, cautions Sonia Piedrafita in this EPIN Commentary, and this would pose a serious risk for EU decision-making and undermine the sense of common identity and any plans for further integration. This Commentary, which looks at the elections from an EU perspective, is the first in a series of Commentaries by EPIN (European Policy Institutes Network) that will examine the outlook for the European Parliament elections in various member states.

The 2014 European Elections in Poland: Are we in for another uninspiring campaign? EPIN Commentary No. 15, 20 December 2013

In previous European elections, Polish political parties were not able to draw a large number of voters to the polling stations. Poland stood out in the European Union mainly by its extremely low turnout. In light of the current situation in the Polish political scene, this EPIN Commentary predicts that the chances are that the 2014 electoral campaign will also be lacklustre, focused on domestic issues, resulting yet again in a disappointing turnout.