The main goal of this work is to characterize how the knowledge of pre-service teachers about the characteristics of the tasks and the role of technology evolves. Based on a case study carried out around a pair of pre-service teachers, the main conclusions point to the contribution of the reflection around a set of six tasks on Functions selected by the pre-service teachers. Central to this reflection was an analyze of the role technology can play in tasks, the comments made by the colleagues to their tasks and some experiences on modeling and open-ended tasks. These elements provided the development of a greater awareness regarding aspects such as the level of structuring of the task and its degree of challenge. And this was determinant for an appropriation of the different characteristics of the tasks and to the development of the pre-service teachers’ knowledge.

This paper reports the application of additive manufacturing technology to fabricate bidimensional
lightweight composite meshes capable of demonstrating auxetic properties
(negative Poisson’s ratio (NPR)) in combination with negative thermal expansion (NTE)
behaviour, using as constituent materials polymers that do not exhibit NTE behaviour. To
describe the combination of NPR and NTE characteristics, the designation of ‘anepectic’ is being
proposed. Each mesh, obtained from varying either the material combination or the design
parameters, was tested on a heated silicone bath to study the effects of the different combinations
on the coefficient of thermal expansion (CTE). It was found that all meshes studied demonstrated
a successful combination of NPR and NTE behaviours, and it was revealed that there is a
possibility to tailor the meshes to activate the NTE behaviour within a chosen range of
temperatures. For an extreme case, a Poisson’s ratio of −0.056, along with a CTE of
−1568×10^−6 K−1 has been achieved.

https://docentes.fct.unl.pt/lblm/files/jib-2019-196-110694.pdf

Isolated theropod teeth are some of the most common fossils in the dinosaur fossil record and are continually reported in the literature. Recently developed quantitative methods have improved our ability to test the affinities of isolated teeth in a repeatable framework. But in most studies, teeth are diagnosed on qualitative characters. This can be problematic because the distribution of theropod dental characters is still poorly documented, and often restricted to one lineage. To help in the identification of isolated theropod teeth, and to more rigorously evaluate their taxonomic and phylogenetic potential, we evaluated dental features in two ways. We first analyzed the distribution of 34 qualitative dental characters in a broad sample of taxa. Functional properties for each dental feature were included to assess how functional similarity generates homoplasy. We then compiled a quantitative data matrix of 145 dental characters for 97 saurischian taxa. The latter was used to assess the degree of homoplasy of qualitative dental characters, address longstanding questions on the taxonomic and biostratigraphic value of theropod teeth, and explore the major evolutionary trends in the theropod dentition.

In smaller phylogenetic datasets for Theropoda, dental characters exhibit higher levels of homoplasy than non-dental characters, yet they still provide useful grouping information and optimize as local synapomorphies of smaller clades. In broader phylogenetic datasets, the degree of homoplasy displayed by dental and non-dental characters is not significantly different. Dental features on crown ornamentations, enamel texture and tooth microstructure have significantly less homoplasy than other dental features and can be used to identify many theropod taxa to ‘family’ or ‘sub-family’ level, and some taxa to genus or species. These features should, therefore, be a priority for investigations seeking to classify isolated teeth.

Our observations improve the taxonomic utility of theropod teeth and in some cases can help make isolated teeth useful as biostratigraphic markers. This proposed list of dental features in theropods should, therefore, facilitate future studies on the systematic paleontology of isolated teeth.

https://docentes.fct.unl.pt/lblm/files/bioelectrochem-2019-125-8.pdf

In this paper we characterize the monoids of endomorphisms of the semigroups PO_n and POI_n of all order-preserving partial transformations and of all order-preserving partial permutations, respectively, of a finite n-chain.

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This chapter provides an overview of the alpha paleobiodiversity of Angola based on the available fossil record that is limited to the sedimentary rocks, ranging in age from Precambrian to the present. The geological period with the highest paleobiodiversity in the Angolan fossil record is the Cretaceous, with more than 80{%} of the total known fossil taxa, especially marine molluscs, including ammonites as a majority among them. The vertebrates represent about 15{%} of the known fauna and about one tenth of them are species firstly described based on specimens from Angola.

Accumulative Roll Bonding (ARB) was used to fabricate Graphene Oxide-reinforced Al-matrix composites.
Graphene Oxide reinforcement was suspended in a stabilized aqueous solution and applied, prior to each ARB
cycle, through airgun spraying. Different concentrations (graphene oxide/milipore water) were used and for
each concentration, samples produced have undergone up to 5 rolling cycles.
Optical and electron scanning microscopies were used for microstructural characterization which revealed a
non-homogenous deformation of the layers across the composite's thickness.
Although the presence of graphene-oxide promoted an increase in the microhardness, higher values were
obtained with its lowest concentration for similar samples. The number of ARB cycles and the direction of the
tested sections also influenced the microhardness results since the 5-cycle samples and the rolling direction
sections for all the samples achieved higher hardness results. Graphene Oxide revealed to be a major contributor
to the increase of stiffness during bending of the tested samples.

In 1900, Hilbert gave a lecture at the International Congress of Mathematicians in Paris, for which he prepared 23 problems that mathematicians should solve during the twentieth century. It was found that there was a note on a 24th Problem focusing on the problem of simplicity of proofs. One of the lines of research that was generated from this problem was the identification of proofs. In this article, we present a possible method for exploring the identification of proofs based on the membership problem original from the theory of polynomial rings. To show this, we start by giving a complete worked-out example of a membership problem, that is, the problem of checking if a given polynomial belongs to an ideal generated by finitely many polynomials. This problem can be solved by considering Gröbner bases and the corresponding reductions. Each reduction is a simplification of the polynomial and it corresponds to a rewriting step. In proving that a polynomial is a member of an ideal, a rewriting process is used, and many different such processes can be considered. To better illustrate this, we consider a graph where each rewriting step corresponds to an edge, and thus a path corresponds to a rewriting process. In this paper, we consider the identification of paths, within the context of the membership problem, to propose a criterion of identification of proofs.
This article is part of the theme issue ‘The notion of ‘simple proof’ - Hilbert’s 24th problem’.