A utilização da tecnologia na sala de aula como instrumento de visualização e algebrização dos objetos matemáticos

No presente relatório da Prática de Ensino Supervisionada são referidas opções de ensino, procedimentos e reações dos alunos ao processo de ensino. É dada uma grande ênfase ao ambiente de aprendizagem baseado na tecnologia e suportado por uma comunidade de aprendizagem, que tem lugar na própria sala de aula ou na sala de informática. A tecnologia é assumida como um recurso constante na maior parte das aulas através do recurso a tarefas escolhidas intencionalmente tendo em vista a possibilidade de introdução da tecnologia na sua resolução. Esta implementação assumiu várias formas, tais como a exploração de calculadoras, a manipulação do GeoGebra ou simplesmente através da apresentação de ficheiros acabados, o que constitui uma forma de obter uma boa visualização dos objetos matemáticos. A aplicação dos recursos tecnológicos foi progressivamente tornada mais intensiva, atingindo o seu culminar no Projeto de Estágio, designação atribuída a duas aulas concebidas explicitamente para a exploração da temática: “Estabelecimento de um Paralelismo entre a Geometria Tridimensional Dinâmica e as Funções”; Abstract: The Use of Technology in the Classroom as an Instrument of Visualization and Algebrization of the Mathematical Objects In this paper we refer to teaching options, procedures, and to students’ reactions to the teaching processes. We give a lot of reinforcement in the learning environment based on technology and supported by a community of learners, which take place in their own classroom or in the Informatics Class. Technology is assumed as a constant resource in most part of the classes through the intentional tasks’ choosing taking into account the possibility of technology introduction in their resolution. This implementation has assumed several forms, like calculators’ exploration, GeoGebra manipulation or simply by presenting finished files, which is a way of getting a great visualization of mathematical objects. The technological resources’ application turned itself progressively more intensive, presenting its center point on Practice Project, name who was gave to two classes conceived explicitly for the thematic exploration: “The establishment of a parallelism between Dynamic Tridimensional Geometry and the Functions”.

The flora and vegetation of rocky outcrops in three municipalities in the northern region of Ceará, Brazil: phytosociological characterization

This study aims to identify the flora and vegetation of rocky outcrops of low altitude and confined in the municipalities of Sobral, Groaíras and Santa Quitéria (Ceará state, Brazil), to propose a phytosociological classification for the xerophilous communities. We selected five stations in areas with high proportion of bare rock (> 80%), and the field work were conducted in March 2014 and 2015 respectively (3º 56’ S and 40º 23’ W, 4º 01’ S and 40º 05’ W, 4º 07’’ S and 40º 08’ W, 4º 09’ S and 40º 09’ W and 4º 03’ S and 40º 00’ W). Floristic relevés were made following the Braun-Blanquet classic sigmatist method. The minimum areas of the floristic relevés vary between 8 e 16 m². All the plant species growing in cracks, crevices and vegetation "spots" that can be found in these habitats were identified. The classification of the relevés was made through the Twinspan. The floristic list is composed of 89 species, distributed in 61 genera and 29 families. Fabaceae was the most representative in species richness, 20 species, followed by Poaceae (10 spp.), Euphorbiaceae (7 spp.) and Convolvulaceae (6 spp.). 22 Brazilian endemisms have been identified. Based in the phytosociological analysis and in the classification results we identified five groups and two communities can be clearly distinguished: community of Pilosocereus gounellei FA.C.Weber) Byles & Rowley and Encholirium spectabile Mart. ex Schult. & Schult.f. and the community of Crateva tapia L. and Combretum leprosum Mart..

Federative dynamics in the EU under the influence of EU citizenship rights in times of crisis

The federative debate has been tied to the history of the EU integration from the start. Even though the EU is a polity in formation, the comparison with the state model has limited usefulness in assessing the evolution of federative dynamics in the EU. In the context of the EU, federalism should not be regarded as a static arrangement, but rather as a process that has been unfolding despite or because of EU integration setbacks. By the same token, EU citizenship is necessarily distinct from national citizenship. Our purpose in this article is to understand the federative dynamics of the EU in relation to the emergence of a “community of rights”. We also aim to establish if, and how, the on-going crisis has triggered a change in the EU federative process as a result of the weakening/strengthening of citizenship rights.