Diagram, gesture, agency: theorizing embodiment in the mathematics classroom

In this paper, we use the work of philosopher Gilles Chatelet to rethink the gesture/diagram relationship and to explore the ways mathematical agency is constituted through it. We argue for a fundamental philosophical shift to better conceptualize the relationship between gesture and diagram, and suggest that such an approach might open up new ways of conceptualizing the very idea of mathematical embodiment. We draw on contemporary attempts to rethink embodiment, such as Rotman’s work on a “material semiotics,” Radford’s work on “sensuous cognition”, and Roth’s work on “material phenomenology”. After discussing this work and its intersections with that of Chatelet, we discuss data collected from a research experiment as a way to demonstrate the viability of this new theoretical framework.     

Role of Significant Life Experiences in Building Environmental Knowledge and Behavior Among Middle School Students

Significant life experience research suggests that the presence of role models, time outdoors, and nature-related media foster pro-environmental behavior, but most research is qualitative. Based on a random sample of middle school students in North Carolina, USA, we found limited positive associations between presence of a role model and time outdoors with behavior and a negative association between watching nature television and environmental knowledge. The strongest predictors of environmental knowledge and behavior were student/teacher ratio and county income levels, respectively. We also found that Native Americans engaged in environmental behaviors more than Caucasians, and that African American and Hispanic students had lower levels of environmental knowledge. Accordingly, life experiences appear less important than promoting small class sizes and addressing challenges associated with lower incomes in schools.     

Adaptación recíproca niño-nodriza

RESUMEN

El artículo analiza la adaptación en los procesos de adopción. Es importante tener en cuenta las características del niño: no para cualquier niño el mismo entorno “medio” permite un desarrollo armonioso. Por ello, deberá producirse un ajuste permanente de la madre y viceversa. Los padres deben proporcionar una estimulación dosificada en función del niño. Pero en definitiva, la “calidad” de las familias está en función de las características de los niños que acogen.     

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.     

The Vocational Turn in Adult Literacy Education and the Impact of the International Adult Literacy Survey

The authors critically examine some of the underlying epistemological and theoretical assumptions of the IALS. In doing so, they distinguish among two basic orientations towards literacy. First, the standard approach (of which IALS is an example) subscribes to the possibility of measuring literacy as abstract, cognitive skills, and endorses the claim that there is an important relationship between literacy skills and economic success in the so-called 'knowledge society.' The second, called a socio-cultural approach, insists on the contextual and power-related character of people's literacy practices. The authors further illustrate that the assumptions of the IALS are rooted in a neo-liberal ideology that forces all members of society to adjust to the exigencies of the globalised economy. In the current, contingent conditions of the risk society, however, it does not seem very wise to limit the learning of adults to enhancing labour-market competencies. Adult education should relate to the concrete literacy practices people already have in their lives. It should make its learners co-responsible actors of their own learning process and participants in a democratic debate on defining the kind of society people want to build.     

Analysis and conservation of modern modeling materials found in Auguste Rodin's sculptures

Prior to the exhibition Portrait-making, Rodin and his models (2009), the Rodin museum wanted to restore two busts of Hanako and Clemenceau. Interestingly, these two sculptures contain pieces of modern modeling materials (MMMs) invented at the end of the nineteenth century as an alternative to clay or waxes. The poor state of conservation of the two portraits made any handling and exhibition impossible. Accordingly, the purpose of this article is twofold: to contribute to technical art history and conservation. Elemental and chemical analyses were done on samples from 12 sculptures (SEM–EDX, FTIR, GC–MS, GC–FID, XRD, synchrotron-based µXRF, µXANES, and µFTIR) aimed at identifying the composition of MMMs used by Rodin on plaster sculptures and establishing hypotheses about the origins of their degradation. This thorough study of their composition and degradation was necessary to implement an appropriate restoration plan. The development of conservation protocols adapted to such materials is rarely documented. Different tests were performed on mock-ups (pH, solubility, adhesion, consolidation, and cleaning). In particular, a protocol based on laser cleaning was developed and successfully applied to remove superficial dust and crusts so that the sculptures regained their original aspect.     

What makes a problem mathematically interesting? Inviting prospective teachers to pose better problems

School students of all ages, including those who subsequently become teachers, have limited experience posing their own mathematical problems. Yet problem posing, both as an act of mathematical inquiry and of mathematics teaching, is part of the mathematics education reform vision that seeks to promote mathematics as an worthy intellectual activity. In this study, the authors explored the problem-posing behavior of elementary prospective teachers, which entailed analyzing the kinds of problems they posed as a result of two interventions. The interventions were designed to probe the effects of (a) exploration of a mathematical situation as a precursor to mathematical problem posing, and (b) development of aesthetic criteria to judge the mathematical quality of the problems posed. Results show that both interventions led to improved problem posing and mathematically richer understandings of what makes a problem ‘good.’     

Institutional change and resource endowments to science-based entrepreneurial firms

This paper considers the question of whether the resource endowments of science-based entrepreneurial firms are influenced by the way technology transfer is organised at the parent organisation. We studied one public research organisation in detail (IMEC, Belgium), by questioning all managers involved in technology transfer and the founders of all science-based entrepreneurial firms set up between 1986 and 2002. This research identifies three generations of companies at IMEC, mirroring the organisational changes in technology transfer policies and displaying distinct resource characteristics. Establishing an incubator structure for spin-offs seems to be a learning process during which little decision making can be exerted over senior management's social network in the financial and business community for securing the financial, technological and human resources for the science-based entrepreneurial firms.     

Strength in numbers? Women and mathematics

Two studies were conducted to test the link between numerical distinctiveness, stereotype threat and mathematical performance among women. In the first study, stereotype threat was measured with a stereotype activation task. Women in a solo, non-solo or control condition completed word fragments and a mathematical activity. Solo women, rather than their non-solo counterparts showed mathematical performance deficits. Evidence did not support the mediating role of stereotype activation. In the second study, stereotype anxiety was assessed. According to analyses, solo women reported greater stereotype-related anxiety than non-solo women. A link between stereotype anxiety and mathematical performance deficits was also uncovered. Finally, mathematical underperformance was associated with greater interest in feminine activities. Strategies to buffer the effects of stereotype threat are discussed.