Este artigo tem por objetivo compartilhar o trabalho realizado com bebes de 6 a 18 meses em tres creches municipais, sendo este vinculado ao subprojeto PIBID “Brincadeiras de agora, brincadeiras de outrora: as criancas e a producao das culturas infantis”. Fundamentado em Paulo Freire, em especial nos conceitos de dialogicidade e amorosidade, em uma interlocucao com outros estudos e pesquisas na area da infancia, sao apresentadas aqui algumas atividades realizadas com os bebes no intuito de instigar sua curiosidade, fantasia, imaginacao e inventividade, potencializando assim suas experiencias. Tal trabalho tem possibilitado compreender como os bebes leem e dizem o mundo. Nele verifica-se a ampliacao de espacos instigantes onde aprendem observando, tocando, cheirando, narrando suas descobertas atraves do brincar e de suas multiplas linguagens, o que tem exigido dos/as educadores/as alfabetizarem-se nestas linguagens visando a construcao de praticas dialogicas.

The protection, preservation and restoration of aquatic ecosystems and their functions are of global importance. For European states it became legally binding mainly through the EUWater Framework Directive (WFD). In order to assess the ecological status of a given water body, aquatic biodiversity data are obtained and compared to a reference water body. The quantified mismatch obtained determines the extent of potential management actions. The current approach to biodiversity assessment is based on morpho-taxonomy. This approach has many drawbacks such as being time consuming, limited in temporal and spatial resolution, and error-prone due to the varying individual taxonomic expertise of the analysts. Novel genomic tools can overcome many of the aforementioned problems and could complement or even replace traditional bioassessment. Yet, a plethora of approaches are independently developed in different institutions, thereby hampering any concerted routine application. The goal of this Action is to nucleate a group of researchers across disciplines with the task to identify gold-standard genomic tools and novel ecogenomic indices for routine application in biodiversity assessments of European fresh- and marine water bodies. Furthermore, DNAqua-Net will provide a platform for training of the next generation of European researchers preparing them for the new technologies. Jointly with water managers, politicians, and other stakeholders, the group will develop a DNAqua-Net: Developing new genetic tools for bioassessment and monitoring ... 3 conceptual framework for the standard application of eco-genomic tools as part of legally binding assessments.

In this paper we study extensions between Cohen–Macaulay modules for algebras arising in the categorifications of Grassmannian cluster algebras. We prove that rank 1 modules are periodic, and we give explicit formulas for the computation of the period based solely on the rim of the rank 1 module in question. We determine Exti(LI,LJ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{Ext}^i(L_I, L_J)$$\end{document} for arbitrary rank 1 modules LI\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_I$$\end{document} and LJ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_J$$\end{document}. An explicit combinatorial algorithm is given for the computation of Exti(LI,LJ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{Ext}^i(L_I, L_J)$$\end{document} when i is odd, and when i even, we show that Exti(LI,LJ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{Ext}^i(L_I, L_J)$$\end{document} is cyclic over the centre, and we give an explicit formula for its computation. At the end of the paper we give a vanishing condition of Exti(LI,LJ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{Ext}^i(L_I, L_J)$$\end{document} for any i>0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$i>0$$\end{document}.