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.

Conversando com a tecnologia: contribuições de João Augusto Bastos para a educação tecnológica

For the reader of this book it is reserved a historical walk through the efforts realized in the field of education to settle the necessary basis for the formation of a participating citizen in the socio-technical process and the dialogic and communicative action with the technological world. There are ten articles that discuss about many aspects of the relationship between education and technology, experienced by the author, who at any moment forgot thinkers with whom he spoke as Jürgen Habermas, Karl Marx, Karl Popper, Theodor Adorno, Max Horkheimer and Ruy Gama. You can dream and run away from the instrumental knowledge to incorporate the woven continuous experience in the practice and experience with people. In this atmosphere of concepts, characteristics and perspectives is the technological education, which runs through dialogue with technology, possession of knowledge and interdisciplinary. Talking to the technology, the subject interacts with society so that the demands are part of projects in this field of this champ of knowledge and the other sciences. It also means to explore knowledge and practices of professionals and educators working in this field full of normative and formative values.

Educação matemática: pesquisas e possibilidades

This book presents a current overview of themes that entangle research in Mathematics Education, which were produced in conjunction with professors who act in the Mathematics Education field at PPGECM (Science and Mathematics Post-graduation Program), that counts with professors from many universities, especially UFPR (Paraná's Federal University), UTFPR (Paraná's Technological Federal University) and UDESC (Santa Catarina's Federal University).The set of texts brings some areas of interest, studies that are in development and research that have been completed. It is expected that the chapters present the program, aspects of its production, interests and theoretical/methodological relations, contributing to the strengthening of Mathematics Education as a research field and familiarization and deepening of the topics discussed.

A história da ciência como subsídio para a construção do conhecimento do conceito da dupla hélice

Acompanha: Dupla-hélice: a construção de um conhecimento

Clássicos do terror como proposta de letramento literário: Machado e Stevenson em sala de aula

Acompanha: Da crueldade à duplicidade da alma humana: sequência expandida a partir de clássicos do terror

Educação na era do hipertexto: uma experiência diferenciada na biologia

Acompanha: Sequência didática: trabalhando o conceito e as características dos fungos: pesquisa de campo para identificação dos fungos

Atividades mediadas como colaboração para aprendizagem de conceitos científicos sobre doenças epidêmicas

Acompanha: Sequência didática interativa para o ensino de doenças epidêmicas

Os níveis de desenvolvimento do pensamento geométrico: o aprendizado do conteúdo de polígonos numa perspectiva do modelo Van Hiele

This work studies the van Hiele model, the levels of development of geometric thinking and its learning phases. Using this knowledge, we prepared a Research Instrument to identify the Level of Development in Geometric Thinking (Levels of van Hiele) of Middle School students, related to contents of Polygons. We have applied this Research Instrument to 237 students from a public school (state) in Curitiba, and we made an analysis of the acquired data. We have improved the Instrument’s questions so that it can be used by teachers during the class. Helping to identify to which level content the student belongs, related to the proposed.

Programa Etnomatemática: ponderações da prática pedagógica

The aim of this present work is investigating the interest and motivation for learning, awakened in pupils when the educator practice is guided by the ethnomathematics perspective. The main question is: Can an ethnomathematic approach awaken enthusiasm in pupils, causing it to become more critic and active in building their knowledge? The methodology that guides the investigation is qualitative, based on technical arising of the ethnographic case study. Theoretical contributions that support the investigation are from the scientific methodology and from ethnomathematics. The research material is composed by: researcher’s field diary, audio recording of participant observation, interviews reports of community residents and students parents, highlighting the material produced by students. This study was developed on an 8º year of high school of rural community. During the work were prioritized the ethnomathematics concepts of the Ethnomathematic Program, which establish a link exchange, where the lecturers inserts themselves on the reality of pupils in a way that promote an appreciation of their identity and a commitment to their learning. The educator investigates and values the ideas of pupils throughout dialogues. There are challenges for the application of education with ethno mathematic perspective, pointed out by authors, listed and supplemented in the research. In this context, it is believed that the socio-cultural knowledge must be respect, and as they are understood their specialties, capabilities and characteristics, this can guide teaching practice, making significant process for pupils, providing appropriation of scientific knowledge. Analysis of research practice indicated that students, research subjects, when they decided contextual issues, with their way of life, felt appreciated. The conclusion is that, with continuous action of contextualized of school mathematics, from the recognition of the environment and of cultural identity, the educator has the opportunity of review their own participant condition, and therefore promote an enthusiasm for learning. Because a motivated pupil becomes active, since that the all project is guided in a significant theme.

Análise de aspectos sociocientíficos em questões de química do Enem: subsídio para a elaboração de material didático para a formação cidadã

Acompanha: Manual didático: o emprego de aspectos sociocientíficos no ensino de química