Abordagem aos números decimais e suas operações: a importância de uma “eficaz navegação” entre representações

Este artigo foca alguns aspectos e ideias de tarefas a serem exploradas com os alunos relativamente à multiplicação de números decimais, discutindo o conhecimento matemático para o ensino subjacente à preparação e à aplicação de tais tarefas. Discutem-se algumas representações dessa multiplicação e a importância de um rico e fundamentado conhecimento matemático para o ensino como promotor de um conhecimento matemático com significado, por parte dos alunos, por via de uma eficaz navegação entre representações. A escolha das representações pretende, aqui, tornar também evidente o motivo pelo qual, ao multiplicar dois números decimais, o número de casas decimais do produto é a soma dos factores. O texto tem por base um trabalho colaborativo desenvolvido ao longo dos últimos anos com professores do 1º ciclo do ensino básico (alunos com idade entre seis e nove anos), tendo como ponto de partida as discussões ocorridas ali, as reflexões subjacentes e as maiores dificuldades sentidas tanto pelos alunos, como pelos próprios professores. É de salientar que o facto de se abordarem conjuntamente representações dos números em decimais e fraccionários possibilita que os alunos se consciencializem de diferentes representações para um mesmo valor, o mesmo ocorrendo quando se utilizam diversas quantidades como unidades discretas, ou distintos tipos de unidades. Apenas se o professor for detentor de um sustentado conhecimento matemático para o ensino ele poderá recorrer a essas distintas representações de maneira construtiva e de modo a que tenham significado para os alunos

Regionale kennisarrangementen: verslag van quickscan en kennisdag 2009

In veel regio’s zijn burgers, bestuurders en ondernemers actief betrokken bij de ontwikkeling van hun omgeving. In het kader van gebiedsplannen wordt gewerkt aan doelen op het terrein van landschap, natuur, landbouw en plattelandsontwikkeling. Hierbij komen uiteenlopende (kennis)vragen naar boven. De kennisvragen worden vaak ad hoc gesteld en men weet vaak niet waar men terecht kan. In een aantal regio’s in Nederland wordt dit verschijnsel onderkend en groeit het besef dat het zoeken naar de antwoorden op deze kennisvragen een serieuze bijdrage levert aan gebiedsontwikkeling. Hier wordt een verbinding met onderwijs en onderzoek gemaakt. Omdat ook bij de kennisinstellingen steeds vaker wordt gezocht naar manieren om meer praktijkgerichte werken, ontstaan er samenwerkingsverbanden. Deze verbindingen tussen regio en onderwijs en onderzoek rond kennisvragen, noemen we een regionaal kennisarrangemen

Parents' perceived vulnerability and perceived control in preventing Meningococcal C infection: a large-scale interview study about vaccination

<p>Abstract</p> <p>Background</p> <p>Parents' reported ambivalence toward large-scale vaccination programs for childhood diseases may be related to their perception of the risks of side-effects or safety of vaccination and the risk of contracting the disease. The aim of this study is to evaluate parents' perceptions of their child's risk contracting a Meningococcal C infection and parents' perceived control in preventing infection in relation to their evaluation of the safety, effectiveness and usefulness of vaccination.</p> <p>Methods</p> <p>In a large-scale interview study, a random sample of parents was interviewed after their children had received vaccination against Meningococcal C in a catch-up campaign. Questions were asked about the perceived relative vulnerability of their child contracting an infection, perceived control in preventing an infection, and parents' evaluation of the safety, usefulness and effectiveness of vaccination.</p> <p>Results</p> <p>61% of 2910 (N = 1763) parents who were approached participated. A higher perceived relative vulnerability of their own child contracting the disease was related to a more positive evaluation of the vaccination campaign, while a lower perceived vulnerability did not result in a more negative evaluation. A higher perceived control in being able to prevent an infection was, however, related to a more critical attitude toward the safety, usefulness and effectiveness of vaccination.</p> <p>Conclusion</p> <p>Perceived relative vulnerability contracting an infection and parents' perceived control in preventing an infection seem to influence parents' evaluation of the vaccination programme. Future studies should determine if, and under which circumstances, these perceptions also affect parents' vaccination behaviour and would be relevant to be taken into account when educating parents about vaccination.</p

One size does not fit all: local determinants of measles vaccination in four districts of Pakistan

Common factors are associated with vaccination. However, despite common factors the pattern of variables related to measles vaccination differs between and within districts. In this study children were more likely to receive measles vaccination if their mother had any formal education, if she knew at least one vaccine preventable disease, and if she had not heard of any bad effects of vaccination. In rural areas, living within 5 km of a vaccination facility or in a community visited by a vaccination team were factors associated with vaccination, as was the mother receiving information about vaccinations

Community perceptions of malaria and vaccines in the South Coast and Busia regions of Kenya

<p>Abstract</p> <p>Background</p> <p>Malaria is a leading cause of morbidity and mortality in children younger than 5 years in Kenya. Within the context of planning for a vaccine to be used alongside existing malaria control methods, this study explores sociocultural and health communications issues among individuals who are responsible for or influence decisions on childhood vaccination at the community level.</p> <p>Methods</p> <p>This qualitative study was conducted in two malaria-endemic regions of Kenya--South Coast and Busia. Participant selection was purposive and criterion based. A total of 20 focus group discussions, 22 in-depth interviews, and 18 exit interviews were conducted.</p> <p>Results</p> <p>Participants understand that malaria is a serious problem that no single tool can defeat. Communities would welcome a malaria vaccine, although they would have questions and concerns about the intervention. While support for local child immunization programs exists, limited understanding about vaccines and what they do is evident among younger and older people, particularly men. Even as health care providers are frustrated when parents do not have their children vaccinated, some parents have concerns about access to and the quality of vaccination services. Some women, including older mothers and those less economically privileged, see themselves as the focus of health workers' negative comments associated with either their parenting choices or their children's appearance. In general, parents and caregivers weigh several factors--such as personal opportunity costs, resource constraints, and perceived benefits--when deciding whether or not to have their children vaccinated, and the decision often is influenced by a network of people, including community leaders and health workers.</p> <p>Conclusions</p> <p>The study raises issues that should inform a communications strategy and guide policy decisions within Kenya on eventual malaria vaccine introduction. Unlike the current practice, where health education on child welfare and immunization focuses on women, the communications strategy should equally target men and women in ways that are appropriate for each gender. It should involve influential community members and provide needed information and reassurances about immunization. Efforts also should be made to address concerns about the quality of immunization services--including health workers' interpersonal communication skills.</p

A homozygous variant in growth and differentiation factor 2(GDF2)may cause lymphatic dysplasia with hydrothorax and nonimmune hydrops fetalis

The etiology of nonimmune hydrops fetalis is extensive and includes genetic disorders. We describe a term-born female neonate with late onset extensive nonimmune hydrops, that is, polyhydramnios, edema, and congenital bilateral chylothorax. This newborn was successfully treated with repetitive thoracocentesis, total parenteral feeding, octreotide intravenously and finally surgical pleurodesis and corticosteroids. A genetic cause seemed plausible as the maternal history revealed a fatal nonimmune hydrops fetalis. A homozygous truncating variant inGDF2(c.451C>T, p.(Arg151*)) was detected with exome sequencing. Genetic analysis of tissue obtained from the deceased fetal sibling revealed the same homozygous variant. The parents and two healthy siblings were heterozygous for theGDF2variant. Skin and lung biopsies in the index patient, as well as the revised lung biopsy of the deceased fetal sibling, showed lymphatic dysplasia and lymphangiectasia. To the best of our knowledge, this is the first report of an association between a homozygous variant inGDF2with lymphatic dysplasia, hydrothorax and nonimmune hydrops fetalis

The Impacts Of Simultaneous Disease Intervention Decisions On Epidemic Outcomes

The final publication is available at Elsevier via http://dx.doi.org/10.1016/j.jtbi.2016.01.027 © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/Mathematical models of the interplay between disease dynamics and human behavioural dynamics can improve our understanding of how diseases spread when individuals adapt their behaviour in response to an epidemic. Accounting for behavioural mechanisms that determine uptake of infectious disease interventions such as vaccination and non-pharmaceutical interventions (NPIs) can significantly alter predicted health outcomes in a population. However, most previous approaches that model interactions between human behaviour and disease dynamics have modelled behaviour of these two interventions separately. Here, we develop and analyze an agent based network model to gain insights into how behaviour toward both interventions interact adaptively with disease dynamics (and therefore, indirectly, with one another) during the course of a single epidemic where an SIRV infection spreads through a contact network. In the model, individuals decide to become vaccinated and/or practice NPIs based on perceived infection prevalence (locally or globally) and on what other individuals in the network are doing. We find that introducing adaptive NPI behaviour lowers vaccine uptake on account of behavioural feedbacks, and also decreases epidemic final size. When transmission rates are low, NPIs alone are as effective in reducing epidemic final size as NPIs and vaccination combined. Also, NPIs can compensate for delays in vaccine availability by hindering early disease spread, decreasing epidemic size significantly compared to the case where NPI behaviour does not adapt to mitigate early surges in infection prevalence. We also find that including adaptive NPI behaviour strongly mitigates the vaccine behavioural feedbacks that would otherwise result in higher vaccine uptake at lower vaccine efficacy as predicted by most previous models, and the same feedbacks cause epidemic final size to remain approximately constant across a broad range of values for vaccine efficacy. Finally, when individuals use local information about others' behaviour and infection prevalence, instead of population-level information, infection is controlled more efficiently through ring vaccination, and this is reflected in the time evolution of pair correlations on the network. This model shows that accounting for both adaptive NPI behaviour and adaptive vaccinating behaviour regarding social effects and infection prevalence can result in qualitatively different predictions than if only one type of adaptive behaviour is modelled.Natural Sciences and Engineering Research Council (NSERC) Individual Discovery Gran

Determinants of parents' reticence toward vaccination in urban areas in Benin (West Africa)

Analysis of the data reveals those who are vaccination-reticent say it goes against the will of God, that it is a poison from the “white witch doctor,” and a sin. Members of the control group argued against this, but without conviction. They adhere to the principle of obedience to authority, a biblical precept invoked when the vaccinators oblige them to vaccinate their children. To limit the spread of this phenomenon among the religious population of the cities like Parakou and Cotonou in Benin, more detailed information and negotiation between health authorities and pastors of the churches are essential