Práticas de ensino por investigação nas aulas de ciências desenvolvidas nos anos iniciais do ensino fundamental

Acompanha: Material de apoio para os professores das escolas municipais de Curitiba: propostas de práticas de ensino por investigação nas aulas de ciências dos anos iniciais do ensino fundamental.

Representações sociais sobre educação ambiental e objetivações em práticas pedagógicas no ensino fundamental

This work presents results, reflections, conclusions and considerations about the research entitled "Social representations of environmental education and objectivations in teaching practices in elementary school ". She intended to make known research whose objectives were to know the current environmental education framework (EA) developed by the teachers of the early years of elementary school of that city; identify their social representations about EA and the ways in which these representations are objectified in their teaching practices. Thus, the methodology is characterized by the qualitative approach; whose data collection instruments were the Free Evocation Questionnaire (QEV), the semi-structured interviews and documentary research. The QEV consists of free recall questions and essay questions, whose data is quantitative and qualitative. Data from this instrument were analyzed according to the procedures of the Structural Approach to Theory of Social Representations. In turn, the analysis of data obtained through the interview and reading the documents followed the guidelines of the Content Analysis method. The theoretical and methodological basis of this research was the Theory of Social Representations and critical approach to environmental education. Thus, the results obtained in the investigation allowed us to identify the social representations of EA of participants; confirm that such representations are being targeted in their pedagogical practices that are characterized as conservative. Also confirm that the teaching documents of the surveyed network are in line with the official documents on EA; the AE actions developed in the network are referenced in the teaching documents of the network and in the official documents of EA and the EA practices of survey participants teachers relate directly with their social representations on Environmental Education.

Demonstração de fórmulas matemáticas no ensino médio

The objective of this study is to analyze the validity of working with proofs in the classroom and to present a partial list of proofs of mathematical formulae of the Brazilian secondary/high school curriculum. The adaptation of the proofs into the knowledge and abilities of a secondary school student should also be considered. How the teaching of proofs is treated in official publications in Brazil and other countries is also described. Working with proofs provides a number of benefits to the students, including: the development of logical reasoning, argumentative capacity, analytical skills on a daily basis, as well as motivation and a better understanding of mathematics as a science. The convenience of including the teaching of proofs in Brazilian secondary school curriculum and the need of a balance between the abstraction of proofs and contextualization of the school programmes is discussed. The approach of the proof teaching in the classroom can become a motivating factor or, conversely, a discouraging one. The conclusion is that it would be very useful to create a reference list covering the mathematical expressions of school programmes with their respective proofs that can be understood by secondary school students.

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.