A survey about experiments on notions of time in children k-1 and k-2

In this paper we explore the importance of analyzing the exercises that the manuals have in Mathematics study, because the difficulty of identifying some errors on them can interfere with the capabilities of children. We work with some exercises related to the theme of temporal notions, based on a survey of textbooks from the 1st and 2nd grade (K-1 and K-2). Our concern is to alert about the importance of reflecting on the content of the books, in order to promote a teaching-learning process tailored to the needs of children. The activities present in the manuals should allow children to develop their logical- mathematical reasoning, for later be able to understand and apply Mathematics. To this end, we present some reflection about the exercises of manuals, and we give our opinion about what is the correct and incorrect. Also, some activities are suggested, among which were implemented with children of the 2nd grade, K- 2, along the experiments that support our work.

The Bergsonian intuition of duration : the time of science is space

According to Bergson, the philosophical tradition had been unanimous in declaring the question of time essential. However, it had neglected its correct framing which, for the author, lies in the metaphysical approach of an immediate and inner experience of concrete duration. In the current paper, we shall present Henri Bergson's concept of time, particularly the author's critique to the scope scientific discourse has of this concept. Simultaneously, we shall explore the central role of time in the Bergsonian thought, metaphorically understood as the very stuff of reality. We shall not, therefore, explore Bergson's ideas on Physics, but some of the metaphysical consequences that he withdraws from certain physics' concepts or theories.

Um olhar sociológico sobre a fibromialgia: vivências e representações

Dissertação de Mestrado, Sociologia, 25 de Março de 2014, Universidade dos Açores.

Building the «true evolutionism»: Darwin's impact on Henri Bergson's thought

The paper focuses on the importance of Darwin’s work for the shaping of Henri Bergson’s philosophy, bearing on mind that the two authors first intercepted symbolically in 1859, when On the Origin of Species was published and Bergson was born. Bergson studied the biological sciences of his time, whose results were integrated in a metaphysical thought. He belonged to spiritualistic positivism, a philosophy that goes from the positive data of sciences and finds the ultimate explanation of reality in a spiritual principle. He was interested in the positive evolution of the natural world and in the works of naturalists such as Lamarck, De Vries or Eimer. Darwin was among these authors, being responsible for a vision of evolution that went from the scientific level to other domains. Bergson defends the “insufficiency of pure Darwinism” by pointing out the necessity to compensate scientific evolution with an internal metaphysical reading of the real, which he considered to be “true evolutionism”. This criticism is the most visible aspect of the relations between both works. However, an attentive look verifies that Darwin’s influence overcomes the divergence of positions concerning the extent of “evolution”. The French philosopher knew not only the 1859’s bestseller, but also studies by Darwin about ethology, entomology and botany, which contributed to the fact that the naturalist’s impact gained fundamental importance in Bergson’s philosophical perspective.

Patterns, mathematics and culture : the search for symmetry in Azorean sidewalks and traditional crafts

In the hustle and bustle of daily life, how often do we stop to pay attention to the tiny details around us, some of them right beneath our feet? Such is the case of interesting decorative patterns that can be found in squares and sidewalks beautified by the traditional Portuguese pavement. Its most common colors are the black and the white of the basalt and the limestone used; the result is a large variety and richness in patterns. No doubt, it is worth devoting some of our time enjoying the lovely Portuguese pavement, a true worldwide attraction. The interesting patterns found on the Azorean handicrafts are as fascinating and substantial from the cultural point of view. Patterns existing in the sidewalks and crafts can be studied from the mathematical point of view, thus allowing a thorough and rigorous cataloguing of such heritage. The mathematical classification is based on the concept of symmetry, a unifying principle of geometry. Symmetry is a unique tool for helping us relate things that at first glance may appear to have no common ground at all. By interlacing different fields of endeavor, the mathematical approach to sidewalks and crafts is particularly interesting, and an excellent source of inspiration for the development of highly motivated recreational activities. This text is an invitation to visit the nine islands of the Azores and to identify a wide range of patterns, namely rosettes and friezes, by getting to know different arts and crafts and sidewalks.