Social competence at the playground: Preschoolers during recess

Social interactions at the playground have been represented as a rich learning opportunity to hone and master social skills at pre- school years. Specifically, all forms of social play (fantasy, role, ex- ercise or rough-and-tumble) have been related to children’s social competence. The main goal of this study was to examine whether it is a certain kind of social play which facilitates the development of social competence, or if it is just the opportunity for interacting during recess that provides children with an optimal environment for social learning. A total of 73 preschoolers (4–6 years old) were videotaped at the school’s playground. Teachers provided assess- ments of children’s social competence. Children’s interactions at the playground were assessed through an innovative measuring method, based on radio-frequency identification devices. The results showed a positive association between exercise play and children’s social competence. In contrast with the literature, both forms of pretend play, fantasy and role play were unrelated to children’s social competence. Smaller peer groups and longer interactions also demonstrated a positive association with these preschoolers’ social competence. The study shows the importance of outdoor physical play for preschoolers’ social success. More- over, the study suggests that the environment in which children play has an important effect on the adaptive nature of their play.

Social competence at the playground: Preschoolers during recess

Social interactions at the playground have been represented as a rich learning opportunity to hone and master social skills at preschool years. Specifically, all forms of social play (fantasy, role, exercise or rough-and-tumble) have been related to children’s social competence. The main goal of this study was to examine whether it is a certain kind of social play which facilitates the development of social competence, or if it is just the opportunity for interacting during recess that provides children with an optimal environment for social learning. A total of 73 preschoolers (4–6 years old) were videotaped at the school’s playground. Teachers provided assessments of children’s social competence. Children’s interactions at the playground were assessed through an innovative measuring method, based on radio-frequency identification devices. The results showed a positive association between exercise play and children’s social competence. In contrast with the literature, both forms of pretend play, fantasy and role play were unrelated to children’s social competence. Smaller peer groups and longer interactions also demonstrated a positive association with these preschoolers’ social competence. The study shows the importance of outdoor physical play for preschoolers’ social success. Moreover, the study suggests that the environment in which children play has an important effect on the adaptive nature of their play.

Detailed analysis of a conservative difference approximation for the time fractional diffusion equation

Diffusion equations that use time fractional derivatives are attractive because they describe a wealth of problems involving non-Markovian Random walks. The time fractional diffusion equation (TFDE) is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order α ∈ (0, 1). Developing numerical methods for solving fractional partial differential equations is a new research field and the theoretical analysis of the numerical methods associated with them is not fully developed. In this paper an explicit conservative difference approximation (ECDA) for TFDE is proposed. We give a detailed analysis for this ECDA and generate discrete models of random walk suitable for simulating random variables whose spatial probability density evolves in time according to this fractional diffusion equation. The stability and convergence of the ECDA for TFDE in a bounded domain are discussed. Finally, some numerical examples are presented to show the application of the present technique.