An assessment of the economic impact of climate change on the Agriculture, Energy and Health sectors in Trinidad and Tobago

This report analyses the agriculture, energy, and health sectors in Trinidad and Tobago to assess the potential economic impacts of climate change on the sectors. The fundamental aim of this report is to assist with the development of strategies to deal with the potential impact of climate change on Trinidad and Tobago. It also has the potential to provide essential input for identifying and preparing policies and strategies to help advance the Caribbean subregion closer to solving problems associated with climate change and attaining individual and regional sustainable development goals. Some of the key anticipated impacts of climate change for the Caribbean include elevated air and sea-surface temperatures, sea-level rise, possible changes in extreme events and a reduction in freshwater resources. The economic impact of climate change on the three sectors was estimated for the A2 and B2 IPCC scenarios until 2050. An exploration of various adaptation strategies was also undertaken for each sector using standard evaluation techniques. The study of the impact of climate change on the agriculture sector focused on root crops, green vegetables and fisheries. For these sectors combined, the cumulative loss under the A2 scenario is calculated as approximately B$2.24 and approximately B$1.72 under the B2 scenario by 2050. This is equivalent to 1.37% and 1.05% of the 2008 GDP under the A2 and B2 scenarios, respectively. Given the potential for significant damage to the agriculture sector a large number of potential adaptation measures were considered. Out of these a short-list of 10 potential options were selected by applying 10 evaluation criteria. All of the adaptation strategies showed positive benefits. The analysis indicate that the options with the highest net benefits are: (1) Building on-farm water storage, (2) Mainstreaming climate change issues into agricultural management and (3) Using drip irrigation. Other attractive options include water harvesting. The policy decisions by governments should include these assessments, the omitted intangible benefits, as well as the provision of other social goals such as employment. The analysis of the energy sector has shown that the economic impact of climate change during 2011-2050 is similar under the A2 (US$142.88 million) and B2 (US$134.83 million) scenarios with A2 scenario having a slightly higher cost (0.737% of 2009 GDP) than the B2 scenario (0.695% of 2009 GDP) for the period. On the supply side, analyses indicate that Trinidad and Tobago’s energy sector will be susceptible to the climate change policies of major energy-importing countries (the United States of America and China), and especially to their renewable energy strategies. Implementation of foreign oil substitution policy by the United States of America will result in a decline in Trinidad and Tobago’s Liquefied Natural Gas (LNG) export (equivalent to 2.2% reduction in 2009 GDP) unless an alternative market is secured for the lost United States of America market. China, with its rapid economic growth and the highest population in the world, offers a potential replacement market for Trinidad and Tobago’s LNG export. In this context the A2 scenario will offer the best option for Trinidad and Tobago’s energy sector. The cost-benefit analysis undertaken on selected adaptation strategies reveal that the benefit-cost ratio of replacing electric water heaters with solar water heaters is the most cost-effective. It was also found that the introduction of Compact Fluorescent Light (CFL) and Variable Refrigerant Volume (VRV) air conditioners surpasses the projected cost of increased electricity consumption due to climate change, and provides an economic rationale for the adoption of these adaptation options even in a situation of increased electricity consumption occasioned by climate change. Finally, the conversion of motor fleets to Compressed Natural Gas (CNG) is a cost-effective adaptation option for the transport sector, although it has a high initial cost of implementation and the highest per capita among the four adaptation options evaluated. To investigate the effect of climate change on the health sector dengue fever, leptospirosis, food borne illnesses, and gastroenteritis were examined. The total number of new dengue cases for the period 2008 to 2050 was 204,786 for BAU, 153,725 for A2 and 131,890 for the B2 scenario. With regard to the results for leptospirosis, A2 and B2 seem to be following a similar path with total number of new cases in the A2 scenario being 9,727 and 9,218 cases under the B2 scenario. Although incidence levels in the BAU scenario coincided with those of A2 and B2 prior to 2020, they are somewhat lower post 2020. A similar picture emerges for the scenarios as they relate to food-borne illnesses and to gastroenteritis. Specifically for food-borne illnesses, the BAU scenario recorded 27,537 cases, the A2 recorded 28,568 cases and the B2 recorded 28,679 cases. The focus on the selected sources of morbidity in the health sector has highlighted the fact that the vulnerability of the country’s health sector to climate change does not depend solely on exogenously derived impacts, but also on the behaviour and practices among the population. It is clear that the vulnerability which became evident in the analysis of the impacts on dengue fever, leptospirosis and food-borne illnesses is not restricted solely to climate or other external factors. The most important adaptation strategy being recommended targets lifestyle, behaviour and attitude changes. The population needs to be encouraged to alter their behaviours and practices so as to minimise their exposure to harmful outcomes as it relates to the incidence of these diseases.

An assessment of the economic impact of climate change on the Agriculture, Health and Tourism sectors in Saint Lucia

This report analyses the agriculture, health and tourism sectors in Saint Lucia to assess the potential economic impacts of climate change on the sectors. The fundamental aim of this report is to assist with the development of strategies to deal with the potential impact of climate change in Saint Lucia. It also has the potential to provide essential input for identifying and preparing policies and strategies to help advance the Caribbean subregion closer to solving problems associated with climate change and attaining individual and regional sustainable development goals. Some of the key anticipated impacts of climate change for the Caribbean include elevated air and sea-surface temperatures, sea-level rise, possible changes in extreme events and a reduction in freshwater resources. The economic impact of climate change on the three sectors was estimated for the A2 and B2 IPCC scenarios until 2050. An evaluation of various adaptation strategies for each sector was also undertaken using standard evaluation techniques. The key subsectors in agriculture are expected to have mixed impacts under the A2 and B2 scenarios. Banana, fisheries and root crop outputs are expected to fall with climate change, but tree crop and vegetable production are expected to rise. In aggregate, in every decade up to 2050, these sub-sectors combined are expected to experience a gain under climate change with the highest gains under A2. By 2050, the cumulative gain under A2 is calculated as approximately US$389.35 million and approximately US$310.58 million under B2, which represents 17.93% and 14.30% of the 2008 GDP respectively. This result was unexpected and may well be attributed to the unavailability of annual data that would have informed a more robust assessment. Additionally, costs to the agriculture sector due to tropical cyclones were estimated to be $6.9 million and $6.2 million under the A2 and B2 scenarios, respectively. There are a number of possible adaptation strategies that can be employed by the agriculture sector. The most attractive adaptation options, based on the benefit-cost ratio are: (1) Designing and implementation of holistic water management plans (2) Establishment of systems of food storage and (3) Establishment of early warning systems. Government policy should focus on the development of these adaption options where they are not currently being pursued and strengthen those that have already been initiated, such as the mainstreaming of climate change issues in agricultural policy. The analysis of the health sector placed focus on gastroenteritis, schistosomiasis, ciguatera poisoning, meningococal meningitis, cardiovascular diseases, respiratory diseases and malnutrition. The results obtained for the A2 and B2 scenarios demonstrate the potential for climate change to add a substantial burden to the health system in the future, a factor that will further compound the country’s vulnerability to other anticipated impacts of climate change. Specifically, it was determined that the overall Value of Statistical Lives impacts were higher under the A2 scenario than the B2 scenario. A number of adaptation cost assumptions were employed to determine the damage cost estimates using benefit-cost analysis. The benefit-cost analysis suggests that expenditure on monitoring and information provision would be a highly efficient step in managing climate change and subsequent increases in disease incidence. Various locations in the world have developed forecasting systems for dengue fever and other vector-borne diseases that could be mirrored and implemented. Combining such macro-level policies with inexpensive micro-level behavioural changes may have the potential for pre-empting the re-establishment of dengue fever and other vector-borne epidemic cycles in Saint Lucia. Although temperature has the probability of generating significant excess mortality for cardiovascular and respiratory diseases, the power of temperature to increase mortality largely depends on the education of the population about the harmful effects of increasing temperatures and on the existing incidence of these two diseases. For these diseases it is also suggested that a mix of macro-level efforts and micro-level behavioural changes can be employed to relieve at least part of the threat that climate change poses to human health. The same principle applies for water and food-borne diseases, with the improvement of sanitation infrastructure complementing the strengthening of individual hygiene habits. The results regarding the tourism sector imply that the tourism climatic index was likely to experience a significant downward shift in Saint Lucia under the A2 as well as the B2 scenario, indicative of deterioration in the suitability of the island for tourism. It is estimated that this shift in tourism features could cost Saint Lucia about 5 times the 2009 GDP over a 40-year horizon. In addition to changes in climatic suitability for tourism, climate change is also likely to have important supply-side effects on species, ecosystems and landscapes. Two broad areas are: (1) coral reefs, due to their intimate link to tourism, and, (2) land loss, as most hotels tend to lie along the coastline. The damage related to coral reefs was estimated at US$3.4 billion (3.6 times GDP in 2009) under the A2 scenario and US$1.7 billion (1.6 times GDP in 2009) under the B2 scenario. The damage due to land loss arising from sea level rise was estimated at US$3.5 billion (3.7 times GDP) under the A2 scenario and US$3.2 billion (3.4 times GDP) under the B2 scenario. Given the potential for significant damage to the industry a large number of potential adaptation measures were considered. Out of these a short-list of 9 potential options were selected by applying 10 evaluation criteria. Using benefit-cost analyses 3 options with positive ratios were put forward: (1) increased recommended design speeds for new tourism-related structures; (2) enhanced reef monitoring systems to provide early warning alerts of bleaching events, and, (3) deployment of artificial reefs or other fish-aggregating devices. While these options had positive benefit-cost ratios, other options were also recommended based on their non-tangible benefits. These include the employment of an irrigation network that allows for the recycling of waste water, development of national evacuation and rescue plans, providing retraining for displaced tourism workers and the revision of policies related to financing national tourism offices to accommodate the new climate realities.

An assessment of the economic impact of climate change on the Agriculture, Health and Tourism sectors in Jamaica

This report analyses the agriculture, health and tourism sectors in Jamaica to assess the potential economic impacts of climate change on the sectors. The fundamental aim of this report is to assist with the development of strategies to deal with the potential impact of climate change on Jamaica. It also has the potential to provide essential input for identifying and preparing policies and strategies to help move the Region closer to solving problems associated with climate change and attaining individual and regional sustainable development goals. Some of the key anticipated manifestations of climate change for the Caribbean include elevated air and sea-surface temperatures, sea-level rise, possible changes in extreme events and a reduction in freshwater resources. The economic impact of climate change on the three sectors was estimated for the A2 and B2 IPCC scenarios until 2050. An evaluation of various adaptation strategies was also undertaken for each sector using standard evaluation techniques. The outcomes from investigating the agriculture sector indicate that for the sugar-cane subsector the harvests under both the A2 and B2 scenarios decrease at first and then increase as the mid-century mark is approached. With respect to the yam subsector the results indicate that the yield of yam will increase from 17.4 to 23.1 tonnes per hectare (33%) under the A2 scenario, and 18.4 to 23.9 (30%) tonnes per hectare under the B2 scenario over the period 2011 to 2050. Similar to the forecasts for yam, the results for escallion suggest that yields will continue to increase to mid-century. Adaptation in the sugar cane sub-sector could involve replanting and irrigation that appear to generate net benefits at the three selected discount rates for the A2 scenario, but only at a discount rate of 1% for the B2 scenario. For yam and escallion, investment in irrigation will earn significant net benefits for both the A2 and B2 scenarios at the three selected rates of discount. It is recommended that if adaptation strategies are part of a package of strategies for improving efficiency and hence enhancing competitiveness, then the yields of each crop can be raised sufficiently to warrant investment in adaptation to climate change. The analysis of the health sector demonstrates the potential for climate change to add a substantial burden to the future health systems in Jamaica, something that that will only compound the country’s vulnerability to other anticipated impacts of climate change. The results clearly show that the incidence of dengue fever will increase if climate change continues unabated, with more cases projected for the A2 scenario than the B2. The models predicted a decrease in the incidence of gastroenteritis and leptospirosis with climate change, indicating that Jamaica will benefit from climate change with a reduction in the number of cases of gastroenteritis and leptospirosis. Due to the long time horizon anticipated for climate change, Jamaica should start implementing adaptation strategies focused on the health sector by promoting an enabling environment, strengthening communities, strengthening the monitoring, surveillance and response systems and integrating adaptation into development plans and actions. Small-island developing states like Jamaica must be proactive in implementing adaptation strategies, which will reduce the risk of climate change. On the global stage the country must continue to agitate for the implementation of the mitigation strategies for developed countries as outlined in the Kyoto protocol. The results regarding the tourism sector suggest that the sector is likely to incur losses due to climate change, the most significant of which is under the A2 scenario. Climatic features, such as temperature and precipitation, will affect the demand for tourism in Jamaica. By 2050 the industry is expected to lose US$ 132.2 million and 106.1 million under the A2 and B2 scenarios, respectively. In addition to changes in the climatic suitability for tourism, climate change is also likely to have important supply-side effects from extreme events and acidification of the ocean. The expected loss from extreme events is projected to be approximately US$ 5.48 billion (A2) and US$ 4.71 billion (B2). Even more devastating is the effect of ocean acidification on the tourism sector. The analysis shows that US$ 7.95 billion (A2) and US$ 7.04 billion is expected to be lost by mid-century. The benefit-cost analysis indicates that most of the adaptation strategies are expected to produce negative net benefits, and it is highly likely that the cost burden would have to be carried by the state. The options that generated positive ratios were: redesigning and retrofitting all relevant tourism facilities, restoring corals and educating the public and developing rescue and evacuation plans. Given the relative importance of tourism to the macroeconomy one possible option is to seek assistance from multilateral funding agencies. It is recommended that the government first undertake a detailed analysis of the vulnerability of each sector and, in particular tourism, to climate change. Further, more realistic socio-economic scenarios should be developed so as to inform future benefit-cost analysis.

An assessment of the economic impact of climate change on the Agriculture, Coastal and Human Settlements and Health Sectors in Guyana

This report analyses the agriculture, coastal and human settlements and health sectors in Guyana to assess the potential economic impacts of climate change. The fundamental aim of this report is to assist with the development of strategies to deal with the potential impact of climate change on Guyana. It also has the potential to provide essential input for identifying and preparing policies and strategies to help bring the Caribbean sub-region closer to solving problems associated with climate change and attaining national and regional sustainable development goals. Some of the key anticipated manifestations of climate change for the Caribbean include elevated air and sea-surface temperatures, sea-level rise, possible changes in extreme events and a reduction in freshwater resources. The economic impact of climate change on the three sectors was estimated for the A2 and B2 IPCC scenarios until 2050 (agriculture and health sectors) and 2100 (coastal and human settlements sector). An exploration of various adaptation strategies was also undertaken for each sector using standard evaluation techniques. The study of the impact of climate change on the agriculture sector focused on three leading sub-sectors namely: sugar-cane, rice-paddy and fisheries. In estimating costs, the sugar sub-sector is projected to experience losses under A2 between US$ 144 million (at 4% discount rate) and US$300 million (1% rate); comparative statistics for rice are US$795 million and US$1577 million, respectively; while for fisheries, the results show that losses range from US$15 million (4% rate) and US$34 million (1% rate). In general, under the B2 scenarios, there are gains for sugar up to 2030 under all three discount rates while for rice the performance is somewhat better with gains realized under all three discount rates up to 2040. For fisheries, gains are forecasted under all three rates up to 2050, following marginal losses to 2020. In terms of the benefit-cost analysis conducted on selected adaptation measures under the A2 scenario, there were net benefits for all three commodities under all three discount rates. For the sugar-cane sub-sector these are: drainage and irrigation upgrade, purchase of new machinery for planting and harvesting, developing and replanting climate tolerant sugar-cane. The rice-paddy sub-sector will benefit from adaptive strategies, which include maintenance of drainage and irrigation systems, research and development, as well as education and training. Adaptation in the fisheries sub-sector must include measures such as, mangrove development and restoration and public education. The analysis of the coastal and human settlements sector has shown that based upon exposed assets and population, SLR can be classified as having the potential to create catastrophic conditions in Guyana. The main contributing factor is the concentration of socioeconomic infrastructure along the coastline in vulnerable areas.

Aplicação dos registros de representação semiótica no ensino-aprendizagem da matemática: um estudo com alunos do sexto ano do ednsino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Aplicação da metodologia neoclássica da demanda tudo ou nada como subsídio à cobrança pelo uso dos recursos hídricos

O problema mundial da escassez de água tem induzido muitos países a adotar, além de outras medidas, instrumentos econômicos para reverter essa situação. Um exemplo de instrumento desse tipo é a cobrança pelo uso dos recursos hídricos. Sugere-se a implementação desse instrumento no Estado do Pará, onde ainda há abundância de recursos hídricos. Com base em pesquisa bibliográfica sobre as experiências nacionais e internacionais de adoção desse instrumento de gestão e em métodos econômicos de cobrança pelo uso dos recursos hídricos aplicados no Brasil, é realizada a aplicação da metodologia da demanda “tudo ou nada” no objeto de estudo – a bacia hidrográfica dos lagos Água Preta e Bolonha, no município de Belém. Alguns países como a França e a Alemanha, são exemplos bem-sucedidos desse processo. No Brasil, os Estados de São Paulo e Ceará, devido à grande escassez, foram os primeiros a incluir a cobrança como prioridade em seus sistemas de gestão de recursos hídricos. Porém, essa prática de resolução dos problemas, implementada somente nos momentos críticos, tem onerado de forma significativa as economias envolvidas. Para a aplicação da metodologia nos lagos Água Preta e Bolonha, tomou-se como base um trabalho semelhante realizado na bacia do rio Pirapama, no Estado de Pernambuco. Conclui-se com este trabalho que a metodologia da demanda “tudo ou nada” pode ser aplicada em regiões de abundância hídrica.

Resolução de problemas nos anos iniciais de escolaridade: por que é tão difícil?

Descreve uma prática de sala de aula envolvendo crianças de 3 e 4 série do ensino fundamental de uma escola particular e analisa o desempenho dessas crianças no processo de resolução de problemas de Matemática. Inicio descrevendo minha experiência profissional ensinando matemática e tomo como referência as questões e inquietações resultantes dessa prática. Para compreender tipos de problema e processos de resolução tomo como referencial teórico Polya, Pozo, Saviani e Dante. No sentido de compreender a matemática presente no ensino fundamental e sua relação com a realidade, busco referências em Kamii, Machado e D'ambrósio. Para análise dos processos desenvolvidos pelas crianças me apoio principalmente em Vergnaud e Bachelard e, para compreender a minha prática os referenciais teóricos foram buscados predominantemente em Freire. Considerei, para análise, situações problemas extraídas da realidade. Analisando os processos desenvolvidos pelas crianças percebi obstáculos à aprendizagem ocasionados, principalmente, pela forma a partir da qual os problemas são apresentados, identifiquei conceitos não completamente formados, a utilização de processos criados pelas próprias crianças, dificuldades de matematização das situações, assim como dificuldades de identificação e tratamento de dados, implícitos ou explícitos. A análise me possibilitou refletir sobre minha prática e sobre outras práticas comuns de professore(a)s.

Investigação de estratégias de controle digital para regulação de velocidade e emulação da dinâmica de turbinas hidráulicas, com implementação e testes experimentais em uma micromáquina de 10 KVA

Devido não ser comum o estudo de sistemas de potência em plantas reais como usinas hidrelétricas por causa dos riscos e custos que envolvem sua operação, dá-se preferência pela realização computacional de modelos matemáticos desse tipo de planta na resolução de problemas, desenvolvimento de novas tecnologias e formação de recursos humanos. No entanto, modelos realizados computacionalmente não proveem a experiência, visual, auditiva e tátil que um modelo físico real pode oferecer. Portanto, neste trabalho, apresenta-se a descrição e a modelagem de um sistema de geração em escala reduzida de 10kVA, que é um sistema físico real, composto por um motor CC, um gerador síncrono e transformadores, chamado também de sistema micromáquina, o qual faz parte da infraestrutura do Laboratório de Engenharia Elétrica da UFPA. Para este sistema, por intermédio deste trabalho de mestrado e do trabalho de mestrado de Moraes (2011), foram desenvolvido subsistemas eletrônicos e computacionais de acionamento, automação e controle para operá-lo de forma segura resultando em uma excelente plataforma didática para dar suporte às pesquisas em dinâmica e controle de sistemas de potência, bem como o desenvolvimento de trabalhos acadêmicos e de ensino. Nesse mesmo contexto, é apresentada uma proposta de técnica de emulação de turbina hidráulica, tendo como base o controle de potência aplicado ao motor CC do sistema micromáquina. Tal técnica foi desenvolvida principalmente com o propósito de dar suporte ao estudo e desenvolvimento de técnicas de regulação de velocidade de turbinas hidráulicas. Consequentemente, também é apresenta uma proposta de um regulador de velocidade digital para turbinas hidráulicas baseado na estrutura canônica RST de controle digital, cujos parâmetros são projetados por duas técnicas de projeto estudadas neste trabalho: o método de alocação polinomial de polos e o projeto de compensadores por atraso de fase pelo método de resposta em frequência para sistemas discretos. Logo para comprovar a eficácia das ferramentas de hardware, software e teóricas desenvolvidas neste trabalho, resultados de experimentos realizados no sistema micromáquina são apresentados e analisados.

Resolução de problemas geométricos: um estudo sobre conhecimentos declarativos, desenvolvimento conceitual, gênero e atribuição de sucesso e fracasso de crianças dos anos iniciais do ensino fundamental

Pós-graduação em Educação para a Ciência - FC

Uma investigação sobre a utilização de materiais didáticos manipuláveis e a resolução de problemas no ensino e na aprendizagem de matemática dos anos iniciais do Ensino Fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A perspectiva metodológica da resolução de problemas: um estudo sobre enunciados de situações matemáticas na EJA

In this paper we discuss the importance of a methodological perspective of solving problems as a sustaining process of teaching mathematics situated on the perspective of concept formation. Organizing a significant didactic situation for students imposes the need to study the interaction between them and the teacher and between them and their mathematical knowledge, learning environment in which the mere transmission of content gives way to contextualization, to historicizing and handling of topics from intuitive and everyday situations for the student. Thus, we understand mathematics as a fundamental language for the creation of theoretical thinking as a whole. We made use of documental analysis and classroom situations aiming at the use of instructional procedure related to the resolution of problems with the purpose of overcoming some representations about the process of teaching and learning mathematics which is strongly marked by imitative-repetitive algorithmic procedures. Considering mathematics as an investigation discipline, we point out renewal prospects for the curricula of this discipline, which are concrete in the movement of cultural action of the school itself as the cell generating discussion.

Uma investigação do minos e sua aplicação ao problema de fluxo de potência ótimo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A smooth evolutionary structural optimization procedure applied to plane stress problem

Topological optimization problems based on stress criteria are solved using two techniques in this paper. The first technique is the conventional Evolutionary Structural Optimization (ESO), which is known as hard kill, because the material is discretely removed; that is, the elements under low stress that are being inefficiently utilized have their constitutive matrix has suddenly reduced. The second technique, proposed in a previous paper, is a variant of the ESO procedure and is called Smooth ESO (SESO), which is based on the philosophy that if an element is not really necessary for the structure, its contribution to the structural stiffness will gradually diminish until it no longer influences the structure; its removal is thus performed smoothly. This procedure is known as "soft-kill"; that is, not all of the elements removed from the structure using the ESO criterion are discarded. Thus, the elements returned to the structure must provide a good conditioning system that will be resolved in the next iteration, and they are considered important to the optimization process. To evaluate elasticity problems numerically, finite element analysis is applied, but instead of using conventional quadrilateral finite elements, a plane-stress triangular finite element was implemented with high-order modes for solving complex geometric problems. A number of typical examples demonstrate that the proposed approach is effective for solving problems of bi-dimensional elasticity. (C) 2014 Elsevier Ltd. All rights reserved.

Atividades exploratório-investigativas em sala de aula de cálculo I com uso de tecnologia

This study presents the results from a qualitative resource, based on research-action methodology, which examined the innovate teaching practices implementations in the Calculus I during 2011 year. The analysis of collected data from three used sources – an initial questionnaire, an exploratory-investigative classroom, and an interview with some students at the end of the second semester – reveals that the students had appropriated of the technological recourses, using it as a tool to look for the knowledge. The investigative activities with the use of information technologies made the use of multiple representations in solving mathematical tasks, making the transition of numerical, algebraic and geometrical results possible for the students when they have looking for validation of their hypotheses and conjectures during mathematical problems solving. This works helped in the insertion of new practices in the discipline, and their results validate the proposal presented by the teacher, which is the discipline of Calculus use, whose character is strongly linked to the training content of the student, as a discipline whose can contributed to the pedagogical formation of the graduation student, leading him to know the Mathematical Education possibilities, specially the Mathematical Investigation - Solving Problems, in the outlook of dialogued classes where the teacher assumes the facilitator role and where the students become actives in their pursuit of knowledge

Um estudo sobre a resolução de problemas e suas relações com a afetividade

This research aims at examining the relationship between the performance of elementary school students Cycle I in problem solving and attitudes toward mathematics. For this, a research was conducted at a state school in the city of Bauru which was selected for convenience. Participants were randomly selected consisting of 75 students, of whom 21 were third years and 57 were of three classes of fifth year. The instruments used for data collection were: a informative questionnaire to characterize the students in age, grade, favorite subjects and the least liked, among others, an attitude scale, Likert type, to examine the attitudes toward mathematics; a interviews with 11 selected students according to scores on the attitudes and mathematical problems to be solved through the method of thinking aloud. The results showed that the major difficulties encountered by students in solving problems were: to understand the problems, formalizing the reasoning, recognize in the problem the algorithms needed for its resolution, make calculations with decimal numbers, do combinatorics, using the sum of equal portions instead of multiplying, self-confidence and autonomy in what he was doing, and others; participants with positive attitudes towards mathematics showed greater confidence to solve problems as well as a greater understanding on what was required by them, but were not detected significant relation between the attitudes and performance, since it was unfavorable