Mathematics and mathematics education: Content and people, relation and difference

A broad view of mathematics education takes it as the study of how people learn and do mathematics. Starting with this view, the actual and potential relationships of mathematics education as are search discipline to mathematics as a field of knowledge and activity and to the mathematicians carrying out that activity are analyzed. This leads to the picture of a gulf between the two scientific communities which are based in different cultures of thinking and research. A (meta-)study of mathematics and all its facets termed here mathematicology is proposed. It could serve as common ground for cooperative studies by mathematicians and mathematics educators. Thereby the gulf will not necessarily become narrower but abridge over the differences and mutual misunderstandings could be built.     

Mnemonic-strategy reduction of prose-learning interference

One hundred and sixty college students read three fictitious biographical passages according to either imagery-mnemonic or no-strategy control instructions. In one mnemonic condition, subjects formed separate images involving each biographical name and its associated facts: in another mnemonic condition, the biographical name and its associated facts were integrated within a single composite image. Relative to an interference-control condition, integrated mnemonic subjects recalled more factual information, whereas separate mnemonic subjects did not. In addition, the recall of integrated mnemonic subjects was statistically no different from that of a noninterference control condition, whereas the recall of separate mnemonic subjects was lower. Both theoretical and educational implications of the results are discussed. The first author’s contribution to this work was supported by an Organized Research Grant from the Graduate School of Illinois State University. The second author’s contribution was supported by the National Institute of Education under Grant No. NIE-G-81-0009 to the Wisconsin Center for Education Research and was facilitated by a Romnes Faculty Fellowship from the Graduate School of the University of Wisconsin, Madison.     

Equality and excellence. Hegemonic discourses of economisation within the German education system

Looking to conflicting constitutions of education systems through the terms equality and excellence, this paper examines the discursive formation of two political rationalities in the contemporary German education system. While early childhood and primary education discourses are dominated by a terminology of equality, tertiary education institutions such as universities are described using a terminology of excellence that has become a reference point for political interventions and institutional reform processes. Drawing from hegemony theory, governmentality studies and systems theory, this paper analyses the rules of justification referred to by such hegemonic discourses. It presents a policy discourse analysis of strategic, conceptional and institutional texts produced between 2003 and 2010. Through this analysis, the paper suggests that ‘mobilising’ and ‘optimising’ represent the common principles of equality and excellence as economic rationalities.     

Identity policies of education: struggles for inclusion and exclusion in Peru and Colombia

ABSTRACT

Policy initiatives that seek to account for ethno-cultural differences in education and schooling have become increasingly popular over the past few decades. These include affirmative action measures and bilingual education models. The rationale for the implementation of these policies focuses on their potential to rectify historical discrimination by both levelling horizontal inequalities and granting equal value to different cultures and languages in the schooling process. In this framework, however, ethnic communities are often treated as discrete and static social aggregates, and social heterogeneity and spillover effects between groups are disregarded. This paper draws on empirical case studies from Colombia and Peru to show how identity policies of education can increase inter-ethnic competition, leading to protracted social conflicts. These outcomes, beyond negatively impacting local communities, raise important dilemmas surrounding the theoretical and operational foundations of these popular policy measures.