Programa ciclovida como política de mobilidade urbana sustentável: estudo empírico na Universidade Federal do Paraná

The urban mobility has in the bicycle its symbol of the most environmentally sustainable modal of transportation of the planet, title conferred by the United Nations Organization (ONU). Nevertheless, the cities suffer with the traffic jam caused by the automobile fleet growth, what implies in a larger displacement time, injuries to the environment, to financials and to the quality of life. In order to build in a sustainable way the urban mobility, public policies are necessary to encourage the preferential usage, by the society, of the mass transit or the non-motorized type of transportation. Objecting cooperate with the public power and the civil society, this study intents to, through an analysis about the UFPR Extension Program - CICLOVIDA, propose a sustainable urban mobility public policy development, with emphasis in the bicycle´s usage. eferentially, it is discussed concepts such as Society, State and Government as well as public policies, which go in cycles to the State´s and Government´s responsibilities; and are presented the Sustainable Urban Mobility Public Policies (PPMUS) in Brazil. Also, it is debated about the transport by bicycle as an option to the sustainable mobility. Methodologically, the study is of an empiric-social nature, with the application of both qualitative and observational methods, what characterizes as an exploratory level of research, with the researcher´s involvement in the participant form, due to her acting on the Program. Regarding the research lineation, it was used the bibliographic and documental form as well as case study, by means of the nonparametric sampling by accessibility or convenience. Related to the data collection technique, it was used structured interviews with self-applied questionnaires and natural participant observation. Aligned with the research´s objective and matter, the outcome confirmed that the Extension Program CICLOVIDA of the Federal University of Paraná (UFPR) may effectively contribute in the development of a PPMUS proposal with emphasis in the bicycle usage. Thus, it was built a political proposal with a free form writing, objecting subsidize policies both institutional as public MUS through the bicycle usage and therefore, support the mobility, also contributing to the sustainability and to the public development planning.

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.