Construções geométricas como recurso pedagógico no ensino médio

This work aims to provide high school students an development in his mathematical and geometrical knowledge, through the use of Geometric Constructions as a teaching resource in Mathematics classes. First a literature search to understand how it emerged and evolved the field of geometry was carried out and the Geometric Constructions. The ways in which the teaching of geometry happened in our country, also were studied some theories related to learning and in particular the Van Hiele theory which deals with the geometric learning also through the literature search were diagnosed. Two forms of the Geometric Constructions approach are analyzed in class: through the design of hand tools - ruler and compass - and through the computational tool - geometric software - being that we chose to approach using the ruler and compass instruments. It is proposed a workshop with nine Geometric Construction activities which was applied with a group of 3rd year of high school, the Escola de Educac¸ ˜ao B´asica Professor Anacleto Damiani in the city of Abelardo Luz, Santa Catarina. Each workshop activity includes the following topics: Activity Goals, Activity Sheet, Steps of Construction Activity Background and activity of the solution. After application of the workshop, the data were analyzed through content analysis according to three categories: Drawing Instruments, angles and their implications and Parallel and its Implications. Was observed that most of the students managed to achieve the research objectives, and had an development in their mathematical and geometrical knowledge, which can be perceived through the analysis of questionnaires administered to students, audio recordings, observations made during the workshop and especially through the improvement of the students in the development of the proposed activities.

Concepções de interdisciplinaridade: o Programa Ensino Médio Inovador

The Interdisciplinary practice opens in the context of Basic Education guiding new looks in the production of knowledge. It is necessary to reflect the interdisciplinarity as scientific and epistemological stance and its conditions of possibility of expanding the horizon before the theoretical and methodological challenges posed by modernity. Thus, this work aimed to analyze interdisciplinary concepts present in the proposal of the High School Program Innovator. Therefore, the theoretical route initially had the search for understanding of high school in Brazil, interdisciplinarity as the possibility of tensioning the production of scientific knowledge, mainly anchored in the studies of Acácia Kuenzer, Dermeval Saviani, Boaventura de Sousa Santos, Claude Raynaut, Henrique Leff and Edgar Morin. The study was methodological subsidy document research and principles of content analysis. The analysis took place from the seven documents that make up the construction path of High School Program Innovator and a semi-structured interview. So, we sought to understand the concepts of the documents establishing analytical categories from more evoked content. In this process identified three categories with regard to the construction of the Program proposal: pedagogical innovations, curriculum organization and teaching quality and three categories with regard to interdisciplinary concepts present in the program: dialogue between curriculum components, joint knowledge and role of high school students. From the studies it was observed that the program came up with the prospect of directing a new identity for the final stage of basic education, listing Documents Guiding Plans and actions for a new curricular organization of secondary education. It was noted that the Program, though explicit in its guiding documents of the interdisciplinary perspective, in no time he calls himself as interdisciplinary. Interdisciplinary actions should run or from school understanding, as well as the preparation of the Redesign Project Curriculum encompassing dialogue between disciplines. Realized by the analysis of the guiding documents is a back program even for a technical rationality practiced by the particular understanding of the school and the practice being expressed from the same concepts that high school is developed, with each teacher teaching the contents of their disciplines and performing cross designs. Break the existing paradigm is still one of the challenges to the teaching-learning process. Break the existing paradigm is still one of the challenges to the teaching-learning process.