The prospective kindergarten and elementary school teachers’ understanding of the ratio concept

Este artigo centra-se na compreensão que futuros educadores e professores dos primeiros anos de escolaridade evidenciam do conceito de razão. No estudo participaram 81 estudantes do 2º ano da Licenciatura em Educação Básica, de uma universidade portuguesa, aos quais foi aplicado um questionário, incidindo em quatro dimensões: significado de razão; usos do conceito de razão; representação simbólica de razão; e representações para explicação do conceito de razão. Em termos de resultados, as maiores frequências foram obtidas para a: ideia de razão como comparação/relação entre grandezas; crença em que o conceito de razão pode ser usado em contextos diversificados; crença em que pode ser representado através de operações envolvendo letras, números ou apenas os sinais das operações, quando é pedida a sua representação simbólica, e através de diagramas e representações gráficas, quando é solicitada a descrição da sua explicação. Estes resultados revelam fragilidades no conhecimento matemático dos estudantes, sobretudo no que se refere à definição do conceito de razão e às suas representações.This paper focuses on the prospective kindergarten and elementary school teachers’ understanding of the ratio concept. Eighty-one undergraduates preparing to become kindergarten and primary school teachers, in a Portuguese university, participated in the study. They answered to a questionnaire aiming at evaluating their understanding of the ratio concept based on four dimensions: meaning of ratio; use of the ratio concept; symbolic representations of ratio; and representations for explaining the ratio concept. As far as results are concerned, the highest frequencies were obtained for: the idea of ratio as a comparison/relationship between two magnitudes; the belief that this concept is used in several contexts; the belief that it can be represented through operations with letters, figures or operation signals, as in symbolic representations; and through diagrams and graphical representations, as in representations for explaining the ratio concept. The results show weaknesses in prospective teachers’ mathematical knowledge of ratio, namely with regard to its definition and representations.Este trabalho contou com o apoio de Fundos Nacionais através da FCT – Fundação para a Ciência e a Tecnologia no âmbito do projecto PEst-OE/CED/UI1661/2014 do CIEd-UM.info:eu-repo/semantics/publishedVersio

Variance in Centrality within Rock Hyrax Social Networks Predicts Adult Longevity

BACKGROUND: In communal mammals the levels of social interaction among group members vary considerably. In recent years, biologists have realized that within-group interactions may affect survival of the group members. Several recent studies have demonstrated that the social integration of adult females is positively associated with infant survival, and female longevity is affected by the strength and stability of the individual social bonds. Our aim was to determine the social factors that influence adult longevity in social mammals. METHODOLOGY/PRINCIPAL FINDINGS: As a model system, we studied the social rock hyrax (Procavia capensis), a plural breeder with low reproductive skew, whose groups are mainly composed of females. We applied network theory using 11 years of behavioral data to quantify the centrality of individuals within groups, and found adult longevity to be inversely correlated to the variance in centrality. In other words, animals in groups with more equal associations lived longer. Individual centrality was not correlated with longevity, implying that social tension may affect all group members and not only the weakest or less connected ones. CONCLUSIONS/SIGNIFICANCE: Our novel findings support previous studies emphasizing the adaptive value of social associations and the consequences of inequality among adults within social groups. However, contrary to previous studies, we suggest that it is not the number or strength of associations that an adult individual has (i.e. centrality) that is important, but the overall configuration of social relationships within the group (i.e. centrality SD) that is a key factor in influencing longevity

Acoustic sequences in non-human animals: a tutorial review and prospectus.

Animal acoustic communication often takes the form of complex sequences, made up of multiple distinct acoustic units. Apart from the well-known example of birdsong, other animals such as insects, amphibians, and mammals (including bats, rodents, primates, and cetaceans) also generate complex acoustic sequences. Occasionally, such as with birdsong, the adaptive role of these sequences seems clear (e.g. mate attraction and territorial defence). More often however, researchers have only begun to characterise - let alone understand - the significance and meaning of acoustic sequences. Hypotheses abound, but there is little agreement as to how sequences should be defined and analysed. Our review aims to outline suitable methods for testing these hypotheses, and to describe the major limitations to our current and near-future knowledge on questions of acoustic sequences. This review and prospectus is the result of a collaborative effort between 43 scientists from the fields of animal behaviour, ecology and evolution, signal processing, machine learning, quantitative linguistics, and information theory, who gathered for a 2013 workshop entitled, 'Analysing vocal sequences in animals'. Our goal is to present not just a review of the state of the art, but to propose a methodological framework that summarises what we suggest are the best practices for research in this field, across taxa and across disciplines. We also provide a tutorial-style introduction to some of the most promising algorithmic approaches for analysing sequences. We divide our review into three sections: identifying the distinct units of an acoustic sequence, describing the different ways that information can be contained within a sequence, and analysing the structure of that sequence. Each of these sections is further subdivided to address the key questions and approaches in that area. We propose a uniform, systematic, and comprehensive approach to studying sequences, with the goal of clarifying research terms used in different fields, and facilitating collaboration and comparative studies. Allowing greater interdisciplinary collaboration will facilitate the investigation of many important questions in the evolution of communication and sociality.This review was developed at an investigative workshop, “Analyzing Animal Vocal Communication Sequences” that took place on October 21–23 2013 in Knoxville, Tennessee, sponsored by the National Institute for Mathematical and Biological Synthesis (NIMBioS). NIMBioS is an Institute sponsored by the National Science Foundation, the U.S. Department of Homeland Security, and the U.S. Department of Agriculture through NSF Awards #EF-0832858 and #DBI-1300426, with additional support from The University of Tennessee, Knoxville. In addition to the authors, Vincent Janik participated in the workshop. D.T.B.’s research is currently supported by NSF DEB-1119660. M.A.B.’s research is currently supported by NSF IOS-0842759 and NIH R01DC009582. M.A.R.’s research is supported by ONR N0001411IP20086 and NOPP (ONR/BOEM) N00014-11-1-0697. S.L.DeR.’s research is supported by the U.S. Office of Naval Research. R.F.-i-C.’s research was supported by the grant BASMATI (TIN2011-27479-C04-03) from the Spanish Ministry of Science and Innovation. E.C.G.’s research is currently supported by a National Research Council postdoctoral fellowship. E.E.V.’s research is supported by CONACYT, Mexico, award number I010/214/2012.This is the accepted manuscript. The final version is available at http://dx.doi.org/10.1111/brv.1216

Genetic Biomarkers for ALS Disease in Transgenic SOD1G93A Mice

The pathophysiological mechanisms of both familial and sporadic Amyotrophic Lateral Sclerosis (ALS) are unknown, although growing evidence suggests that skeletal muscle tissue is a primary target of ALS toxicity. Skeletal muscle biopsies were performed on transgenic SOD1G93A mice, a mouse model of ALS, to determine genetic biomarkers of disease longevity. Mice were anesthetized with isoflurane, and three biopsy samples were obtained per animal at the three main stages of the disease. Transcriptional expression levels of seventeen genes, Ankrd1, Calm1, Col19a1, Fbxo32, Gsr, Impa1, Mef2c, Mt2, Myf5, Myod1, Myog, Nnt, Nogo A, Pax7, Rrad, Sln and Snx10, were tested in each muscle biopsy sample. Total RNA was extracted using TRIzol Reagent according to the manufacturer's protocol, and variations in gene expression were assayed by real-time PCR for all of the samples. The Pearson correlation coefficient was used to determine the linear correlation between transcriptional expression levels throughout disease progression and longevity. Consistent with the results obtained from total skeletal muscle of transgenic SOD1G93A mice and 74-day-old denervated mice, five genes (Mef2c, Gsr, Col19a1, Calm1 and Snx10) could be considered potential genetic biomarkers of longevity in transgenic SOD1G93A mice. These results are important because they may lead to the exploration of previously unexamined tissues in the search for new disease biomarkers and even to the application of these findings in human studies

Hawk Eyes II: Diurnal Raptors Differ in Head Movement Strategies When Scanning from Perches

Background Relatively little is known about the degree of inter-specific variability in visual scanning strategies in species with laterally placed eyes (e.g., birds). This is relevant because many species detect prey while perching; therefore, head movement behavior may be an indicator of prey detection rate, a central parameter in foraging models. We studied head movement strategies in three diurnal raptors belonging to the Accipitridae and Falconidae families. Methodology/Principal Findings We used behavioral recording of individuals under field and captive conditions to calculate the rate of two types of head movements and the interval between consecutive head movements. Cooper\u27s Hawks had the highest rate of regular head movements, which can facilitate tracking prey items in the visually cluttered environment they inhabit (e.g., forested habitats). On the other hand, Red-tailed Hawks showed long intervals between consecutive head movements, which is consistent with prey searching in less visually obstructed environments (e.g., open habitats) and with detecting prey movement from a distance with their central foveae. Finally, American Kestrels have the highest rates of translational head movements (vertical or frontal displacements of the head keeping the bill in the same direction), which have been associated with depth perception through motion parallax. Higher translational head movement rates may be a strategy to compensate for the reduced degree of eye movement of this species. Conclusions Cooper\u27s Hawks, Red-tailed Hawks, and American Kestrels use both regular and translational head movements, but to different extents. We conclude that these diurnal raptors have species-specific strategies to gather visual information while perching. These strategies may optimize prey search and detection with different visual systems in habitat types with different degrees of visual obstruction

Individual, social, and sexual niche traits affect copulation success in a polygynandrous mating system

In polygynandrous mating systems, the factors that mediate copulation success and the use of alternative mating tactics, such as mate guarding, are still poorly understood. In the rock hyrax (Procavia capensis), both sexes mate annually with multiple partners during a single month. In order to examine the factors that drive copulation success, we used 494 mating-related observations that were collected over a decade. In our analysis, we used the traits of individual hyraxes as well as the traits of members of their sexual niche, which we defined as their local competitors and potential mates. Using individual traits, we found that overall, female hyraxes rejected copulation attempts more frequently than males, supporting predictions from sexual selection theory. Females who had been mothers in previous years were mate-guarded more by resident males. When we considered the traits of competitors and potential mates in individuals' sexual niche, we found that when resident males had higher-ranking competitors, their copulation success decreased, irrespective of their own traits. Bachelor male copulation success was not influenced by their competitor's social status. Female copulation success was positively affected by maternal status and by social network position. Females that were central in the social network and those that had central female competitors had higher copulation success, supporting the benefits of social cohesion and the importance of the social niche. Thus, our results suggest that in polygynandrous mating systems, copulation success is determined not only by individual quality but also by the social and sexual niches that the individual occupies. Social networks describe with whom individuals consort. The complex patterns of sexual relationships in animal societies can also be expressed as networks of mating-related interactions. During our long-term study on the dynamic social relationships of wild rock hyraxes, we observed complex sexual interactions. Our results show that hyraxes choose mating partners from their available mate pool (or sexual niche) taking into account the traits of their actual mates, other potential mates, and those of their competitors. These findings suggest that the sexual niche, describing the subset of available mating partners, is important for mate choice, with significant implications to the study of sexual selection

Lifetime changes in vocal syntactic complexity of rock hyrax males are determined by social class

© 2019 The ontogeny of quality-based signals has been studied in numerous animal systems but the degradation of vocal signals with age has received much less attention. Investigating age-related changes in quality-based acoustic signals and the associated social processes (e.g. rank changes, competition intensity) can expand our understanding of the information content of signals and their perception by receivers. To address this issue, we monitored the changes in syntactic complexity of songs in male rock hyraxes, Procavia capensis, over their lifetime. These songs are known to reflect the signallers' identity and quality. We found that age, residency and tenure had a combined effect on the syntactic structure of signals. Progression trends differed according to the signallers’ social status. For mature bachelor males song complexity increased with age, whereas it decreased for resident males, which had performed complex songs at the beginning of their residency tenure. This decline in complexity, potentially indicating fatigue, has also been associated with increased competition pressure, reflected in males' increased tendency to become involved in fights. In previous studies on animal vocal signalling and human speech, no effects of senescence on syntactic complexity were detected. Our current findings, however, suggest that vocal complexity is informative and could be reflective of the condition and competitive abilities of the signallers. However, an alternative explanation of lower signal complexity due to decreasing competitive motivation is also discussed

Male hyraxes increase song complexity and duration in the presence of alert individuals

The goal of vocal communication is the efficient delivery of signals to a target audience. Long and complex vocalizations are especially challenging because they are subject to environmental interference and may incur significant costs for the signaler. One of the various ways of increasing the efficiency of signal delivery is enhancement of communicational efforts only when potential audience is perceived nearby in an attempt to maximize the benefit over the cost of signaling (audience effect). Another way is signaling subsequently to events that intensify individual alertness in order to ensure audience attentiveness and sensitivity to the transmitted information. Rock hyraxes (Procavia capensis) are social mammals that use complex acoustic signals to communicate. Adult male hyraxes produce elaborate vocalizations (known as songs) that serve as honest advertisements of their quality. By combining analysis of male hyrax songs recorded in the field over a period of 11 years and playback experiments, we found that songs performed during and following attention-grabbing events (agonistic interactions, alarm calls, predator presence, and songs performed as a reply to conspecific singing) have an increased structural and syntactic complexity in comparison to spontaneous singing. Male hyraxes demonstrate a cognitive ability to optimize their advertising efforts in response to multiple types of events. This signaling strategy exploits the effective communication window created by attention-grabbing events and by the presence of an alert audience to delivers structurally and syntactically enhanced signal. To our knowledge, this is the first report of syntactic complexity of vocal signaling being altered following various triggers that change conspecifics mental state in terrestrial mammals.Male rock hyraxes (small, short-tailed, herbivorous social mammals) produce enhanced songs when an attentive audience is present. These long and complex songs advertise male quality and rank but can potentially expose the caller to predation. To optimize advertising efforts, males enhance their songs following external attention-grabbing events, which increase the probability of being noted by potential listeners. Similar vocal modifications are observed in humans when a speaker is aware of audience attention

Social context mediates testosterone's effect on snort acoustics in male hyrax songs

Testosterone affects physical and motivational states, both of which may strongly influence vocalization structure and acoustics. The loud complex calls (i.e., songs) of male rock hyraxes (Procavia capensis) are used as honest signals for advertising physical and social states. The snort, a low frequency, noisy element of the song, encodes information on the singer's age and social rank via harshness, as measured by jitter (i.e., acoustic frequency stability) and duration; suggesting that the snort concomitantly advertises both vocal stability and aggression. Our past findings revealed that testosterone levels are related to both vocal elements and social status of male hyraxes, suggesting that hormonal mechanisms mediate the motivation for aggressive and courtship behaviors. Here we examined whether long-term androgen levels are related to snort acoustics and song structure by comparing levels of testosterone in hair with acoustic and structural parameters. We found that songs performed by individuals with higher testosterone levels include more singing bouts and longer, smoother snorts, but only in those songs induced by external triggers. It is possible that hyraxes with higher levels of testosterone possess the ability to perform higher-quality singing, but only invest in situations of high social arousal and potential benefit. Surprisingly, in spontaneous songs, hyraxes with high testosterone were found to snort more harshly than low-testosterone males. The context dependent effects of high testosterone on snort acoustics suggest that the aggressive emotional arousal associated with testosterone is naturally reflected in the jittery hyrax snort, but that it can be masked by high-quality performance