Equity in the Classroom

When discussing how teachers should pursue equity among, in, and through education in their current educational system, many go straight to discussing the lessons. These are very important, and the planning of these lessons can very much influence students to think more openly about equity, but there is something that must be established first before even thinking about executing a lesson plan, and that is the classroom itself. After all, “a large part of the work of teaching is constructing the laboratory for learning.” (Campbell & Demorest, 2008, p. 87). Postman & Weingartner also say that “the most important impressions made on a human nervous system come from… the environment itself [which] conveys the critical and dominant messages by controlling the perceptions and attitudes of those who participate in it” (1969, p. 17). This paper focuses on the creation of a classroom that creates an opportunity for every student to contribute to the environment in which they learn

Suggestions For A Parametric Typology Of Dance

Dance and language are produced/performed by the body and governed by cognitive faculties. Yet regrettably little scholarship applies tools of formal analysis in one field to the other. This paper aims to enrich dialogue between the two fields. We introduce an approach to dance typology formed on analogy with the parametric theory of language analysis, useful in typologizing languages. This initial exploration paves the way for a physiological typology of dance, without reference to culture

Elementary proofs of Embedding Theorems for Potential Spaces of Radial Functions

We present elementary proofs of weighted embedding theorems for radial potential spaces and some generalizations of Ni's and Strauss' inequalities in this setting.Comment: 19 page

Quantification of Dehydroepiandrosterone, 17β-Estradiol, Testosterone, and Their Sulfates in Mouse Tissues by LC-MS/MS.

We report a high-performance, liquid chromatography/tandem mass spectrometry (HPLC-MS/MS) assay to quantify without derivatizaton dehyroepiandrosterone (DHEA), 17β-estradiol (E2), testosterone (T), and their sulfates in serum and tissues. This assay functions well with multiple adipose depots, a previously unattained analysis. To delipidate and facilitate recovery, tissues were homogenized in acetonitrile, and the homogenate was frozen. The supernatant was evaporated, resuspended in an aqueous acetate buffer, and extracted with hexane to separate free (unconjugated) from sulfated steroids. Sulfated steroids in the aqueous medium were then hydrolyzed with sulfatase and extracted with hexane. Each extract was analyzed separately. HPLC resolution combined with the sensitivity and specificity of MS/MS allowed quantification of DHEA, E2, and T with 10, 10, and 5 fmol lower limits of quantification and linear ranges to 1 pmol. Application of the method to mouse serum and tissues reveals ranges of DHEA, E2, and T and their sulfates, and tissue-specific differences in steroid profile, especially white versus brown adipose. In addition, marginal decreases of T in all tissues and considerable increases in DHEA in male iWAT and eWAT in response to a high-fat diet further strengthen the inference regarding the role of steroid metabolism in adipogenesis. This assay permits detailed studies of interactions between adiposity and sex steroids in serum and tissues, including adipose

Lyapunov-type Inequalities for Partial Differential Equations

In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $\Omega$. We also consider singular and degenerate elliptic problems with $A_p$ coefficients involving the $p-$Laplace operator with zero Dirichlet boundary condition. As an application of the inequalities obtained, we derive lower bounds for the first eigenvalue of the $p-$Laplacian, and compare them with the usual ones in the literature

Radial Solutions for Hamiltonian Elliptic Systems with Weights

We prove the existence of infinitely many radial solutions for elliptic systems in Rn with power weights. A key tool for the proof will be a weighted imbedding theorem for fractional-order Sobolev spaces, that could be of independent interest.Comment: 13 page

Fractional differentiability for solutions of nonlinear elliptic equations

We study nonlinear elliptic equations in divergence form $${\operatorname{div}}{\mathcal A}(x,Du)={\operatorname{div}}G.$$ When ${\mathcal A}$ has linear growth in $Du$, and assuming that $x\mapsto{\mathcal A}(x,\xi)$ enjoys $B^\alpha_{\frac{n}\alpha, q}$ smoothness, local well-posedness is found in $B^\alpha_{p,q}$ for certain values of $p\in[2,\frac{n}{\alpha})$ and $q\in[1,\infty]$. In the particular case ${\mathcal A}(x,\xi)=A(x)\xi$, $G=0$ and $A\in B^\alpha_{\frac{n}\alpha,q}$, $1\leq q\leq\infty$, we obtain $Du\in B^\alpha_{p,q}$ for each $p<\frac{n}\alpha$. Our main tool in the proof is a more general result, that holds also if ${\mathcal A}$ has growth $s-1$ in $Du$, $2\leq s\leq n$, and asserts local well-posedness in $L^q$ for each $q>s$, provided that $x\mapsto{\mathcal A}(x,\xi)$ satisfies a locally uniform $VMO$ condition

Association between diverticulosis and colonic neoplastic lesions in individuals with a positive faecal immunochemical test

Background The association between diverticulosis and colonic neoplastic lesions has been suggested, but data in literature are conflicting. This study aimed to investigate such a relationship in patients participating in a colorectal cancer screening program who underwent high-quality colonoscopy.Methods Data from consecutive individuals 50-75 years of age with a positive faecal immunological test were considered. Diverticulosis was categorised as present or absent. The prevalence of neoplastic lesions (adenoma, advanced adenoma, and cancer) between individuals with and those without diverticula was compared. A multivariate analysis was performed.Results Overall, data from 970 consecutive individuals were evaluated, and diverticulosis was detected in 354 (36.5%) cases. At least one adenoma was detected in 490 (50.5%) people, at least one advanced adenoma in 264 (27.2%), multiple adenoma in 71 (7.3%), whilst a cancer was diagnosed in 48 (4.9%) cases. At univariate analysis, the adenoma detection rate in patients with diverticula was significantly higher than in controls (55.9% vs 47.4%; p=0.011). At multivariate analysis, presence of diverticulosis was an independent risk factor for both adenoma detection rate (OR=1.58; 95% CI=1.14-2.18; p=0.006) and advanced adenoma (OR=1.57; 95% CI=1.10-2.24; p=0.013), but not for colorectal cancer.Conclusions In a colorectal screening setting, the adenoma detection rate was significantly higher in individuals with diverticulosis than in controls

Deaf Children, Humor And Education Policy

Deaf children need true inclusion to learn, entailing consistent, pervasive use of visual-learning techniques. This is achieved via bilingual education policies that enforce deaf children’s rights to use sign language, permitting teachers to engage in deaf pedagogy using sign language. Educational policies advocating inclusion via an interpreter in the mainstreamed classroom create the “illusion of inclusion” (Glickman 2003). We argue that, in either case, humor can aid inclusion. Understanding humor is a developmental ability, related to cognitive, social, linguistic, and metalinguistic competence. Additionally, learning how humor is understood and expressed contributes to language mastery. However, we find little discussion of humor in deaf education. We contend that deaf students have the right to learn through humor and play, throughout school. Educational and linguistic rights policies should reflect that. Educators understand that games are important for learning at any age, and especially for the very young where play is learning, and learning is play. We offer examples of how to modify common classroom activities to extend their effectiveness to deaf children and enhance their effectiveness with hearing children, from dance making mathematical concepts visually apparent, through sign language play encouraging creativity, to mime and theatre techniques illustrating geological facts