Identifying Reading Disabilities: A Survey of Practitioners

Accurate and timely identification of reading disabilities (RDs) is essential for providing appropriate and effective remediation for struggling readers. However, practices for identifying RDs lack sufficient documentation within and across educational and clinical settings. The wide range of possible practices intended to identify struggling readers can render the field vulnerable to inconsistencies in how the needs of struggling readers are recognized and supported. To better understand the range of current practices used to identify RDs in school-age children, we created and disseminated a survey nationally, and analyzed data from 965 practitioners. The findings indicate lengthy timelines to identify RDs; substantial variability in the composition of assessment teams, identification criteria, and diagnostic labels; and notable opportunities for enhancing practitioner training experiences. This study aims to promote cross-contextual dialogue about the identification of RDs and their implications for students’ educational experiences

Stochastic dynamics and non-equilibrium thermodynamics of a bistable chemical system: the Schlögl model revisited

Schlögl's model is the canonical example of a chemical reaction system that exhibits bistability. Because the biological examples of bistability and switching behaviour are increasingly numerous, this paper presents an integrated deterministic, stochastic and thermodynamic analysis of the model. After a brief review of the deterministic and stochastic modelling frameworks, the concepts of chemical and mathematical detailed balances are discussed and non-equilibrium conditions are shown to be necessary for bistability. Thermodynamic quantities such as the flux, chemical potential and entropy production rate are defined and compared across the two models. In the bistable region, the stochastic model exhibits an exchange of the global stability between the two stable states under changes in the pump parameters and volume size. The stochastic entropy production rate shows a sharp transition that mirrors this exchange. A new hybrid model that includes continuous diffusion and discrete jumps is suggested to deal with the multiscale dynamics of the bistable system. Accurate approximations of the exponentially small eigenvalue associated with the time scale of this switching and the full time-dependent solution are calculated using Matlab. A breakdown of previously known asymptotic approximations on small volume scales is observed through comparison with these and Monte Carlo results. Finally, in the appendix section is an illustration of how the diffusion approximation of the chemical master equation can fail to represent correctly the mesoscopically interesting steady-state behaviour of the system