A technique for delivering individualised formative problems and examples

Active learning plays a strong role in mathematics and statistics, and formative problems are vital for developing key problem-solving skills. To keep students engaged and help them master the fundamentals before challenging themselves further, we have developed a system for delivering problems tailored to a student‟s current level of understanding. Specifically, by adapting simple methodology from clinical trials, a framework for delivering existing problems and other illustrative material has been developed, making use of macros in Excel. The problems are assigned a level of difficulty (a „dose‟), and problems are presented to the student in an order depending on their ability, i.e. based on their performance so far on other problems. We demonstrate and discuss the application of the approach with formative examples developed for a first year course on plane coordinate geometry, and also for problems centred on the topic of chi-square tests.

Lessons from the private finance initiative in the UK: benefits, problems and critical success factors

Purpose – This paper summarises the main research findings from a detailed, qualitative set of structured interviews and case studies of private finance initiative (PFI) schemes in the UK, which involve the construction of built facilities. The research, which was funded by the Foundation for the Built Environment, examines the emergence of PFI in the UK. Benefits and problems in the PFI process are investigated. Best practice, the key critical factors for success, and lessons for the future are also analysed. Design/methodology/approach – The research is based around 11 semi-structured interviews conducted with stakeholders in key PFI projects in the UK. Findings – The research demonstrates that value for money and risk transfer are key success criteria. High procurement and transaction costs are a feature of PFI projects, and the large-scale nature of PFI projects frequently acts as barrier to entry. Research limitations/implications – The research is based on a limited number of in-depth case study interviews. The paper also shows that further research is needed to find better ways to measure these concepts empirically. Practical implications – The paper is important in highlighting four main areas of practical improvement in the PFI process: value for money assessment; establishing end-user needs; developing competitive markets and developing appropriate skills in the public sector. Originality/value – The paper examines the drivers, barriers and critical success factors for PFI in the UK for the first time in detail and will be of value to property investors, financiers, and others involved in the PFI process.

A multi-model evaluation of aerosols over South Asia: common problems and possible causes

Atmospheric pollution over South Asia attracts special attention due to its effects on regional climate, water cycle and human health. These effects are potentially growing owing to rising trends of anthropogenic aerosol emissions. In this study, the spatio-temporal aerosol distributions over South Asia from seven global aerosol models are evaluated against aerosol retrievals from NASA satellite sensors and ground-based measurements for the period of 2000–2007. Overall, substantial underestimations of aerosol loading over South Asia are found systematically in most model simulations. Averaged over the entire South Asia, the annual mean aerosol optical depth (AOD) is underestimated by a range 15 to 44% across models compared to MISR (Multi-angle Imaging SpectroRadiometer), which is the lowest bound among various satellite AOD retrievals (from MISR, SeaWiFS (Sea-Viewing Wide Field-of-View Sensor), MODIS (Moderate Resolution Imaging Spectroradiometer) Aqua and Terra). In particular during the post-monsoon and wintertime periods (i.e., October–January), when agricultural waste burning and anthropogenic emissions dominate, models fail to capture AOD and aerosol absorption optical depth (AAOD) over the Indo–Gangetic Plain (IGP) compared to ground-based Aerosol Robotic Network (AERONET) sunphotometer measurements. The underestimations of aerosol loading in models generally occur in the lower troposphere (below 2 km) based on the comparisons of aerosol extinction profiles calculated by the models with those from Cloud–Aerosol Lidar with Orthogonal Polarization (CALIOP) data. Furthermore, surface concentrations of all aerosol components (sulfate, nitrate, organic aerosol (OA) and black carbon (BC)) from the models are found much lower than in situ measurements in winter. Several possible causes for these common problems of underestimating aerosols in models during the post-monsoon and wintertime periods are identified: the aerosol hygroscopic growth and formation of secondary inorganic aerosol are suppressed in the models because relative humidity (RH) is biased far too low in the boundary layer and thus foggy conditions are poorly represented in current models, the nitrate aerosol is either missing or inadequately accounted for, and emissions from agricultural waste burning and biofuel usage are too low in the emission inventories. These common problems and possible causes found in multiple models point out directions for future model improvements in this important region.

Herbrand's Theorem and Equational Reasoning: Problems and Solutions

The famous Herbrand's theorem of mathematical logic plays an important role in automated theorem proving. In the first part of this article, we recall the theorem and formulate a number of natural decision problems related to it. Somewhat surprisingly, these problems happen to be equivalent. One of these problems is the so-called simultaneous rigid E-unification problem. In the second part, we survey recent result on the simultaneous rigid E-unification problem.

Global governance, currency and trade: implications of one on the other, common problems and how to address cooperation through law at the international level

How to deal with the impacts of the exchange rate on the trade balance of Brazil? There is not a single answer to such question. In order to find out some legal approaches for this matter, this paper aims to describe and analyze the role of the IMF, WTO and the governments of Brazil and the United States on the currency misalignments, especially the extraterritorial effects of such misalignment on the Brazil’s bilateral trade with the United States. The article concludes that the Currency Swap Agreements and other bilateral solutions may minimize the distortions that the Brazilian balance of payment against the USA is carrying, due to the lack of legal solutions for the problem of the exchange rate misalignments that Brazil is facing.

Domestic violence in Brazil: social problems and legislative interventions

Recent statistical data confirms that domestic violence is a structural problem of exceptional gravity. We analyze the frequent legislative changes in Brazil since 2000 as a result of social pressure for protection of abused women. Only the Law 11.340 of 2006 was well received by lawyers, judges and the public opinion. We present the innovations and peculiarities of this statute and the allegations on unconstitutionality. We discuss cases of judicial review of this law and reject the arguments of unconstitutionality. That notwithstanding, we argue that penalization decisions is the wrong way from a criminological point of view because they do not take into consideration the desires and needs of the victims.

Aortic aneurysm surgery: problems and innovations

Um longo caminho foi percorrido desde as primeiras intervenções cirúrgicas feitas para o tratamento do aneurisma de aorta abdominal. Ao longo deste tempo, várias inovações foram criadas, no sentido de reduzir a invasividade dos procedimentos e melhorar sua segurança e durabilidade. Nesta revisão, são discutidos os principais e recentes avanços em intervenções sobre aneurismas aórticos, incluindo a restauração aórtica endovascular, a cirurgia aórtica videolaparoscópica, as técnicas híbridas convencionais e endovasculares, as técnicas combinadas videolaparoscópicas e endovasculares, bem como as perspectivas futuras, tanto para aorta torácica como abdominal. Diante de tantas transformações e evolução, o cirurgião vascular moderno terá que ter sua mente aberta para as novidades e desenvolver capacitação ampla com diferentes técnicas para proporcionar a melhor opção terapêutica para seus pacientes.

Discrete approximations for strict convex continuous time problems and duality

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)