Avaliação em Geometria no PISA 2012: Uma análise do conteúdo e dos itens disponibilizados pelo INEP

Abstract

This thesis analyzed the geometry of items used by the Program for International Student Assessment - PISA. Specifically, he made use of public items available in the INEP site, which were applied in the edition of 2012. PISA is an international comparative assessment program, applied to a sample of 15-year-old in over sixty countries, of which Brazil has been participating since 2000, as a guest country. The assessment in mathematics in PISA considers, in space and shape, focus of this dissertation, subareas Quantity, Uncertainty and Data and Change and Value. The research sought to answer the following questions: (a) content / themes are evaluated by PISA 2012 under the geometry ?; (B) to what extent such content / themes are articulated with the Brazilian official curriculum proposals ?; and (c) difficulties in geometry can be issued when students 15-16 years of a Brazilian school are faced with public items from PISA 2012? To answer them, the research involved three stages: (i) documentary analysis (PISA and Brazilian curriculum of Mathematics), (ii) analysis of the public items content which sought to assess the subarea Space and Shape and (iii) application of the analyzed items a group of 15-years. This third stage was held in a school in which the researcher is a professor and was made with the full consent of the students and the school management team. Furthermore, the application was filmed and dialogues between students and between them and the teacher were recorded and then transcribed to facilitate analysis. The study results show that there is harmony between the official curriculum proposals and the contents of the items. But the contexts in which items are supported flee than "traditional" appear in math textbooks. The application of items to a group of similar students assessed by PISA revealed the difficulties in understanding the contexts and the amount of information from many of the tested items.