Learning through patterns: a powerful approach to algebraic thinking

We are engaged in a project named Mathematics and patterns in elementary schools: perspectives and classroom experiences of students and teachers. Our aim is to analyze the impact of an intervention centered on the study of patterns in the learning of mathematics concepts and on the development of communication and development of higher order thinking skills. In this paper we present part of an ongoing research with pre-service teachers concerning the development of teachers’ algebraic thinking, in particular how they move through pattern tasks involving generalization. We will present some of the tasks used in the didactical experience and some preliminary conclusions of its implementation in the mathematics didactics classes of a mathematics elementary teachers’ course of a School of Education

For a Typology of Participation in Community Artistic Practices: the experience of three theater groups in Brazil and Portugal

The article aims to address the participatory dimension as a central feature in contemporary artistic creation, deepening the relationship between processes and results. It has as a starting point the practices of three theater groups in Brazil and Portugal, articulating them with the literature on community artistic practices and civic and political participation. From empirical data, based on participant and non-participant observation and gathering of field notes, structural dimensions of the qualities of the participation experiences in artistic processes were identified, namely: forms of participation of communities (non-professional); dynamics of creative processes; core themes; relationship between professionals and communities; and spaces of creation and presentation

Estimating the Recreation Value of Ecosystems by Using a Travel Cost Method Approach

Recreation is one of the ecosystem’s secondary values of a well conserved natural ecosystem, associated with the direct use individuals make of these natural assets. In this paper we define and estimate the total economic recreation value to visitors of a particular natural area, a national park. An on-site individual observation Travel Cost Model, Count Data distributions, and a version of hyperbolic discounting framework distribution were used to estimate a measure for the present recreation use of the site and the total discounted recreation value for a 50 years period. The empirical estimates of the average representative visitor’s present equivalent surplus willingness to pay, based on the impact assumption of closure or loss of access to the park were 123 € per day per visit, and 593 € per each average five days length visit, per visitor. These values suggest that recreation use of nature has a higher value than certain economic activities in the area.Recreation Use Value; Ecosystem; Estimation; Travel Cost Method; Welfare Measures; Count Data Models.

The Distorted Lens: Immigrant Maladies and Mythical Norms in Edwidge Danticat’s Breath, Eyes, Memory

The immigrant experience is riddled with the complexities of uprooting, and the challenges of fitting into a new environment where the issue of difference plays an important role. An immigrant’s life is multireferential in terms of how he or she views difference and is viewed as different. Haitian-American writer Edwidge Danticat’s first novel, Breath, Eyes, Memory has instances of extreme disfunctionality due to the interplay of past experiences in Haiti and new encounters in New York City, and it includes many scenes in which characters express and negotiate different sets of cultural expectations, trying to reconcile their differences. [excerpt

Search for ttˉHt\bar{t}H and tHtH production with H→γγH\to \gamma \gamma at s\sqrt{s} = 13 TeV with the ATLAS experiment

The measurement of the Yukawa coupling of the top quark is one important goal of particle physics after the discovery of the Higgs boson. There are two processes that offer the possibility to directly measure the Yukawa coupling of the top quark at the LHC. These are the production of a top-antitop-quark pair in association with a Higgs boson via the strong interaction ($t\bar{t}H$) and the electroweak production of a single top quark and a Higgs boson ($tH$). In the Standard Model, the cross section for $tH$ production is much smaller than the cross section for $t\bar{t}H$ production as there is a destructive interference between diagrams where the Higgs boson is radiated off a top quark and diagrams where it is radiated off a $W$ boson. Despite the reduced cross section, this interference provides additional sensitivity to the sign of the Yukawa coupling. The considered Higgs boson decay into photons is promising due to the good energy resolution of the photons and the relatively small backgrounds. But it is also challenging due to the small branching ratio. The analysis strategy and the latest results on the search for $t\bar{t}H/tH$ production in the diphoton channel at the ATLAS experiment are presented.Comment: 4 pages, 2 figures, TOP2017 conferenc

Review of Roots of Entanglement: Essays in the History of Native-Newcomer Relations edited by Myra Rutherdale, Kerry Abel and P. Whitney Lackenbauer

Review of Roots of Entanglement: Essays in the History of Native-Newcomer Relations edited by Myra Rutherdale, Kerry Abel and P. Whitney Lackenbaue

Uncertainty under a multivariate nested-error regression model with logarithmic transformation

Assuming a multivariate linear regression model with one random factor, we consider the parameters defined as exponentials of mixed effects, i.e., linear combinations of fixed and random effects. Such parameters are of particular interest in prediction problems where the dependent variable is the logarithm of the variable that is the object of inference. We derive bias-corrected empirical predictors of such parameters. A second order approximation for the mean crossed product error of the predictors of two of these parameters is obtained, and an estimator is derived from it. The mean squared error is obtained as a particular case

Abelian varieties isogenous to a power of an elliptic curve over a Galois extension

Given an elliptic curve $E/k$ and a Galois extension $k'/k$, we construct an exact functor from torsion-free modules over the endomorphism ring ${\rm End}(E_{k'})$ with a semilinear ${\rm Gal}(k'/k)$ action to abelian varieties over $k$ that are $k'$-isogenous to a power of $E$. As an application, we show that every elliptic curve with complex multiplication geometrically is isogenous over the ground field to one with complex multiplication by a maximal order.Comment: 6 pages, added reference

Opening borders!

On the centenay of Yehudi Menuhin we want to enlighten his role in rescuing artistic practices of cultural minorities and its contributions to fight against violence, racism and xenophobia at european schools and communities. We discuss our research artistic action in the last 20 years through the MUS-E program in Portugal, focus on Évora multicultural neighborhood.FC