Feeling number: grounding number sense in a sense of quantity

Drawing on results from psychology and from cultural and linguistic studies, we argue for an increased focus on developing quantity sense in school mathematics. We explore the notion of “feeling number”, a phrase that we offer in a twofold sense—resisting tendencies to feel numb-er (more numb) by developing a feeling for numbers and the quantities they represent. First, we distinguish between quantity sense and the relatively vague notion of number sense. Second, we consider the human capacity for quantity sense and place that in the context of related cultural issues, including verbal and symbolic representations of number. Third and more pragmatically, we offer teaching strategies that seem helpful in the development of quantity sense coupled with number sense. Finally, we argue that there is a moral imperative to connect number sense with such a quantity sense that allows students to feel the weight of numbers. It is important that learners develop a feeling for number, which includes a sense of what numbers are and what they can do.     

Effects of organizational pictures and modality as a feedback strategy on learner comprehension and satisfaction

One of the strongest instructional interventions documented in educational literature is the use of feedback to influence learning outcomes. However, there is lack of empirical research specifically pertaining to the use of multimedia in the feedback message. The purpose of this research was to test whether organizational pictures and modality as a feedback strategy had an effect on learner comprehension and satisfaction. The research design was a 2 Multimedia (Picture Present vs. Picture Absent) × 2 Modality (Narration vs. On-screen Text) × Trial (Trial 1 vs. Trial 2) with Multimedia and Modality serving as between-subject conditions and Trial serving as a repeated measure. One-hundred fifteen university students participated in the study. Findings show statistically significant increases in comprehension scores from Trial 1 to Trial 2 assessments for all four treatment conditions. Learners in the Picture present conditions were statistically more satisfied with the learning experience. Additionally, we used eye-tracking to verify the extent to which the pictures were used in the feedback message. A discussion and recommendations for future research and feedback design are provided.     

Problematizing the processes of participation in networks: working through the rhetoric

Participation in networks, both as a concept and process, is widely supported in environmental education as a democratic and equitable pathway to individual and social change for sustainability. However, the processes of participation in networks are rarely problematized. Rather, it is assumed that we inherently know how to participate in networks. This assumption means that participation is seldom questioned. Underlying support for participation in networks is a belief that it allows individuals to connect in new and meaningful ways, individuals can engage in making decisions and in bringing about change in arenas that affect them and that they will be engaging in new, non-hierarchical and equitable relationships. In this paper, we problematize participation in networks. As an example, we use research into a decentralized network – described as such in its own literature – the Queensland Environmentally Sustainable Schools Initiative Alliance in Australia – to argue that while network participants were engaged and committed to participation in this network, ‘old’ forms of top-down engagement and relationships needed to be unlearnt. This paper thus proposes that for participation in decentralized networks to be meaningful, new learning about how to participate needs to occur.     

Interleukin-6 and Delayed Onset Muscle Soreness Do Not Vary During the Menstrual Cycle

The purpose of this study was to determine if a difference in interleukin-6 (IL-6) and delayed onset muscles soreness (DOMS) exists in two different phases of the menstrual cycle. Nine runners performed one 75-min high-intensity interval running session during the early follicular (EF) phase and once during the midluteal (ML) phase of the menstrual cycle. Estrogen and progesterone levels were significantly reduced in the EF phase when compared to the ML phase. IL-6 levels increased from pre- to postexercise in the EF and ML phases (p < .001). There was no relationship between the IL-6 level and DOMS. The results suggest that menstruating female runners need not vary training throughout the month to reduce DOMS.