More than meets the eye: patterns and shifts in middle school mathematics teachers’ descriptions of models

Modeling is a major topic of interest in mathematics education. However, the field’s definition of models is diverse. Less is known about what teachers identify as mathematical models, even though it is teachers who ultimately enact modeling activities in the classroom. In this study, we asked nine middle school teachers with a variety of academic backgrounds and teaching experience to collect data related to one familiar physical phenomenon, cooling liquid. We then asked each participant to construct a model of that phenomenon, describe why it was a model, and identify whether a variety of artifacts representing the phenomenon also counted as models during a semi-structured interview. We sought to identify: what do mathematics teachers attend to when describing what constitutes a model? And, how do their attentions shift as they engage in different activities related to models? Using content analysis, we documented what features and purposes teachers attended to when describing a mathematical model. When constructing their own model, they focused on the visual form of the model and what quantitative information it should include. When deciding whether particular representational artifacts constituted models, they focused on how the representations reflected the system under study, and what purposes those representations could serve in further understanding that system. These findings suggest teachers may have multiple understandings of models, which are active at different times and reflect different perspectives. This has implications for research, teacher education, and professional development.     

Simulation in Higher Education: A sociomaterial view

This article presents a sociomaterial account of simulation in higher education. Sociomaterial approaches change the ontological and epistemological bases for understanding learning and offer valuable tools for addressing important questions about relationships between university education and professional practices. Simulation has grown in many disciplines as a means to bring the two closer together. However, the theoretical underpinnings of simulation pedagogy are limited. This paper extends the wider work of applying sociomaterial approaches to educational phenomena, taking up Schatzki’s practice theory as a distinctive basis for doing so. The question ‘What is being simulated?’ is posed, prompting discussion of multiple bodies, performances and experiences. The potential of adopting such a framework for understanding simulation as a pedagogic practice that brings the classroom and workplace together is illustrated with reference to clinical education in nursing.     

Mothers' Beliefs about Feelings and Children's Emotional Understanding

We revised Hyson and Lee's (1996) Caregiver's Beliefs about Feelings questionnaire for use with parents. One hundred and fifteen mothers of 4- to 6- year-old children completed the Parents' Beliefs about Feelings questionnaire (PBAF). We assessed emotional understanding of 60 of the children using Denham's (1986) measure. Factor analysis supported a 2-factor solution for the PBAF. The first subscale (Emotion Language) reflected mothers' belief in socializing emotion language. The second subscale (Developmental Beliefs) assessed mothers' belief that their children were not developmentally ready to control or talk about emotions. Mothers' Developmental Beliefs scores were positively related to mothers' negative emotional expressiveness. Mothers' Emotion Language scores were positively related to children's knowledge of emotion terms. Results may help educators design intervention programs to teach children emotional and social skills.