Ensino dos números racionais comparando medidas de unidade

This research aimed to investigate the possibility to develop the process of teaching and learning of the division of rational numbers with guided tasks in interpretation of measure. Adopted as methodology the Didactic Engineering and a didactic sequence in order to develop the work with students of High School. Participated of training sessions twelve students of one state school of Porto Barreiro city - Paran´a. The results of application of the didactic engineering suggest the importance of utilization of guided tasks in interpretation of measure, since strengthened the understanding, on the part of students, the concept of division of fractional rational numbers and contributed for them develop the comprehension of others questions associated to the concept of rational numbers, such as order, equivalence and density.

Metodologia de ensino do conceito de função exponencial à luz da teoria das situações didáticas

This essay presents a proposal on methodology over the mathematical object Exponential Function which enables the development of interpretative and creative skills with potential meaning to the students starting from a didactic sequence structured on the light of The Theory of Didactic Situations from Guy Brousseau and, from the Records of Semiotic Representation of Duval, providing interactions among the students, the teacher and the environment of cooperative learning where the students feel free to express their own ideas as well as to suggest their own approaches. The methodology presented has been developed according to the students first knowledge, valuing their different ways of registering, which have such an important role during the teaching and learning processes. The proposal has been applied to the students from the first year of high school of Colégio Estadual José de Anchieta Ensino Fundamental e Médio, located in a town called Dois Vizinhos –Paraná. In order to the development of the research the methodological tool Didactic Engineering Artigue which consists in a methodology developed only to the research with didactic situations. The main goal has been reached at first, which was to work on the conceptual part of the Exponential Function, the relation of dependence and its main characteristic so that the variable part is in the exponent. Moreover with no imposition but starting from suitable didactic situations, the students were able to realize that they could solve the problems which involve the exponential function and furthermore create new problems (according to their universe) modeled by this kind of function. Its believed that the methodology based on the theory of didactic situations, analysis of students registers, observation on mistakes and obstacles as well as reflections over the aspects of the didactic contract are of fundamental importance to the teaching practice and determinant during the teaching-learning process.

Proposta de avaliação de práticas sustentáveis nas operações de serviço em instituições de ensino superior da Rede Federal de Educação Profissional, Científica e Tecnológica

Higher Education Institutions (HEIs) have an extremely important social role, they are responsible for the place where they work and to form citizens who contribute to a fair and cooperative society. Universities can engage with sustainable development in planning, management, education, research, operations, community services, procurement of materials, transportation and infrastructure; this research seeks to analyze the sustainability practices in service operations in the Higher Education Institutions of the Federal Network of Professional, Scientific and Technological Education in Brazil through the development and application of a model called the Sustainability Assessment for Higher Technological Education (SAHTE). To achieve the proposed goal, a systematic survey of the scientific literature on sustainability assessment models in higher education institutions was conducted, making it possible to identify the characteristics and features of existing models. The model was applied through multiple case studies. The proposal compares the sustainability performance of service operations among individual institutions using a common methodology. It presents five areas to be evaluated in the HEI: Governance and Policies, People, Food, Water and Energy, and Waste and Environment, with a total of 134 questions. The need for greater support from the senior management of institutions to formulate and implement policies on sustainable development was identified when the lack of policies on sustainability in service operations was found; initiatives tend to be isolated. The participation of students and teachers in studies on the daily operations of the campus can be expanded and more widespread. The model seeks to evaluate sustainable practices in the service operations of the Brazilian Federal Network of Professional, Scientific and Technological Education; studies related to the evaluation of teaching sustainability are absent and the applicability of the model in private institutions and other countries is needed. The results obtained with the application of the SAHTE model are useful for the preparation and development of policies on sustainable development, especially in the service operations of the surveyed HEI. The results can sensitize staff and students, who can reflect on their roles in the HEI, as well as the community and suppliers.