New materialist ontologies in mathematics education: the body in/of mathematics

In this paper we study the mathematical body as an assemblage of human and non-human mathematical concepts. We argue that learners’ bodies are always in the process of becoming assemblages of diverse and dynamic materialities. Following the work of the historian of science Karen Barad, we argue that mathematical concepts must be considered dynamic material, and we suggest a “pedagogy of the concept” that animates concepts as both logical and ontological. We draw on the philosopher of mathematics Gilles Châtelet in order to pursue this argument, elaborating on the way that mathematical concepts partake of the mobility of the virtual, while learners, in engaging with this mobility, enter a material process of becoming. We show how the concept of virtuality allows us to look at mathematical concepts in school curriculum in new ways.     

Teachers’ motives for learning in networks: costs,rewards and community interest

Background: This paper discusses teachers’ perspectives on learning networks and their motives for participating in these networks. Although it is widely held that teachers’ learning may be developed through learning networks, not all teachers participate in such networks.

Purpose: The theme of reciprocity, central to studies in the area of learning in networks, is often approached from a rational exchange perspective. This study attempts to extend this approach with reference to the concept of symbolic interactionism. The study was guided by the following research question: What is the relationship between teachers’ perceptions of learning networks and their motives for participation or non-participation in these networks?

Design and methods: In order to address this research question, semi-structured interviews among 25 teachers in secondary education in the Netherlands were carried out. The semi-structured interviews consisted of three parts: background information, perspectives on learning networks and personal experiences with those networks. Data were analysed qualitatively and analyses consisted of within-case analysis, and cross-case analysis of interview fragments. Three themes were considered: (1) perspectives on learning networks, (2) motives for participation perceived as rational exchange, (3) motives for participation perceived as related to social order.

Findings: The findings are presented around these three themes. Each theme is discussed in relation to relevant aspects from the literature. Findings indicated that teachers perceived learning networks to be organised both within-school and outside school, and mostly focused around specific content knowledge. Reasons for participation or non-participation were related to rational costs and rewards (such as time, technology, self-efficacy); in symbolic motives (such as joy, sharing and mutual understanding), and also in a sense of meaning that resulted from networking activities.

Conclusions: We conclude that, in addition to social exchange motives, the data suggest that symbolic aspects of communication and interaction play an important role in considerations for participation in learning networks. This may be described in terms of four ‘types’ of networking teachers: the Community focused networking teacher, the Locally focused networking teacher, the Not-yet-networking teacher, and the Non-networking teacher. It is hoped that these exploratory findings could be helpful in supporting the development of learning networks for all teachers.     

How does education have an impact on ethnocentrism? A structural equation analysis of cognitive,occupational status and network mechanisms

Previous studies have distinguished cognitive, occupational status and network mechanisms in the relation between education and ethnocentrism. Hypotheses on these mediating mechanisms are derived from socialization theory, realistic group threat and contact theory. In the current study we use structural equation modeling to investigate the explanatory power of these three mechanisms simultaneously. The analysis is based on a representative population survey from the Netherlands (NELLS 2009, n = 1910). The results show that more than half of the initial association between education and ethnocentrism can be attributed to cognitive ability and occupational status mechanisms. The remaining part of the overall association, however, still has to be modeled as a direct relationship between education and ethnocentrism. This direct association can be attributed either to social desirability or to a direct liberalizing effect of education on social and political attitudes. Our analysis tentatively suggests that the rise of average education levels in Western societies might lead to less ethnocentric attitudes via the cognitive sophistication mechanism.