GeoPlexo: um material manipulável para o ensino dos números complexos

This study aims to develop a manipulative material to assist the teaching and learning of Complex Numbers. Primarily, It tries to define the status of the current teaching of Complex Numbers, having as guide the bias of the research produced in dissertations and published on the website of Capes and the Virtual Library of Profmat from 2004 to 2014. It presents historical aspects of the theme, a mathematical foundation and a discussion of the use of manipulative materials as teaching resources for the teaching of mathematics. It introduces the manipulative material called GeoPlexo and a sequence of activities of potentiation and settling of complex numbers, explaining its use. It concludes with the importance of manipulative materials as a teaching resource for the teaching of Complex Numbers, especially regarding the geometric visualization of this mathematical object.

Complexos de estudo: investigando um experimento de currículo em uma escola de assentamento do MST no Paraná

The Landless Rural Workers Movement (MST) from its educational process and the path taken in education, started in the year 2013, with an experimental curricular proposal by Complexes of study the School Base and the Itinerant Schools, the MST, in Paraná state. For the construction of this proposed curriculum, the movement takes the historical background and the experience of the original foundations of the single school of labor started by the working class in revolutionary Soviet period as a training proposal and school organization that comes close to the creation of collective subjects, fighters and builders of a new society and sociopolitical objectives to this social movement. The Soviet experiment reference required a work of a critical appropriation for the Brazilian context. The curriculum prescription, called Study Plan, in its introduction, includes elements of design fundamentals like: the Education Eesign and Training Matrix; Matrix detailing: School and Life, School and Labor Formative Matrix, School and Social Struggle Formative Matrix, School and Collective Organization Formative Matrix, School and Culture Formative Matrix and School and History Formative Matrix; general school guidelines: a pedagogical function of the environment, the school's political organization, school times, specific methodological aspects, sequencing and duration of Complexes of Study and the evaluation process. The Study Plan contemplates the complexes, the disciplines, the portions of reality / practice categories present in complexes, organized by semester and year, i. e., from 6th to 9th grade in elementary school. Given the the presented context, this research aims to analyze the process of testing the proposed curriculum for the Complexes of Study in Primary School of Iraci Salette Strozak State School, located in the Marcos Freire Settlement, in Rio Bonito do Iguaçu in Paraná state. As a methodological approach, we chose the qualitative approach and analysis were conducted under the Marxism perspective. Library research and field research, semi-structured interviews and analysis of documents generated in the process of construction of the proposal were made.Initially, in this paper, we discus about the path followed by the MST in the fight for schools and public education; highlighting elements of the process which led to the understanding, by the Movement, of which only the struggle for land is not enough for the realization of Agrarian Reform. Then discuss whether some elements of Pedagogy of the Movement, the concept of education and the goals for education that Social Movement, the training matrices and the potential to transform the school from a pedagogical proposal that has these elements as guiding. They present also the original foundations of Complexes Study in its historical origin and design. Is discussed about the changes and curriculum innovations, curriculum as schooling as social reproduction and presents the structure of Curriculum Proposal by Complex of Study. Forth, it is shown how the experiment occurred in basis School Iraci Salette Strozak. At this point, we propose a dialogue on the transformations in the organization of pedagogical work, discussing the elements of the proposal that are being experienced and the changes already perceived. Still, we address the issue of formation of educators and also elements relating to the challenges andadvancements encountered by the school in this area, and possible implications for the experiment.