The impact of behavior-specific praise on student engagement

Behavior-specific praise (BSP) is one motivational tool that has the potential to increase student engagement and eagerness to learn. In this study, the use of BSP was explored. Over a one- month study, third-grade students were given BSP during math instruction. Student nonverbal cues (i.e., eye contact, completing seatwork), peer interaction, and class participation were observed and tracked to determine if the use of BSP increased student engagement. Key findings in students’ responses to BSP included: 1) acquired perseverance and confidence to complete a given task; 2) increased student initiative to exceed teacher expectations as demonstrated by their use of strategies; and 3) strengthened peer communication during group work. Reflecting on my teaching practice, the study findings also indicated that increasing the amount of praise I gave to my students influenced the learning environment allowing for students to facilitate their own learning and giving BSP resulted in valuable student feedback necessary in order for me to implement this process long term

THE BIOSAFETY PROTOCOL AND INTERNATIONAL TRADE IN GENETICALLY MODIFIED ORGANISMS

International Relations/Trade,

Density results for Sobolev, Besov and Triebel--Lizorkin spaces on rough sets

We investigate two density questions for Sobolev, Besov and Triebel--Lizorkin spaces on rough sets. Our main results, stated in the simplest Sobolev space setting, are that: (i) for an open set $\Omega\subset\mathbb R^n$, $\mathcal{D}(\Omega)$ is dense in $\{u\in H^s(\mathbb R^n):{\rm supp}\, u\subset \overline{\Omega}\}$ whenever $\partial\Omega$ has zero Lebesgue measure and $\Omega$ is "thick" (in the sense of Triebel); and (ii) for a $d$-set $\Gamma\subset\mathbb R^n$ ($0<d<n$), $\{u\in H^{s_1}(\mathbb R^n):{\rm supp}\, u\subset \Gamma\}$ is dense in $\{u\in H^{s_2}(\mathbb R^n):{\rm supp}\, u\subset \Gamma\}$ whenever $-\frac{n-d}{2}-m-1<s_{2}\leq s_{1}<-\frac{n-d}{2}-m$ for some $m\in\mathbb N_0$. For (ii), we provide concrete examples, for any $m\in\mathbb N_0$, where density fails when $s_1$ and $s_2$ are on opposite sides of $-\frac{n-d}{2}-m$. The results (i) and (ii) are related in a number of ways, including via their connection to the question of whether $\{u\in H^s(\mathbb R^n):{\rm supp}\, u\subset \Gamma\}=\{0\}$ for a given closed set $\Gamma\subset\mathbb R^n$ and $s\in \mathbb R$. They also both arise naturally in the study of boundary integral equation formulations of acoustic wave scattering by fractal screens. We additionally provide analogous results in the more general setting of Besov and Triebel--Lizorkin spaces.Comment: 38 pages, 6 figure

Pensioner poverty over the next decade: what role for tax and benefit reform?

Recent falls in poverty amongst those aged 65 and over are unlikely to continue after 2007-08, even after the implementation of the proposals outlined in the Government's Pensions White Paper. This report looks at the prospects for pensioner poverty in England over the next decade. The authors find that that the proportion of those aged 65 and over living in poverty is set to remain at its current level - around one-in-five - between 2007-08 and 2017-18. This is despite the overall increase in the generosity of state pensions arising from the Pensions White Paper, and the fact that younger cohorts are expected to have more private pension income and higher employment rates at older ages than those preceding them