The main purpose of this workshop is to focus upon a complementary approach to the study of, and the investigation into, concepts related to Geometry- Space Strand. It ought to benefit educators especially those who prepare teachers for the primary/elementary schools. Participants in this workshop will initially learn the skills needed in Pop-Up Engineering to produce ‘hole’ 3- D paper models which illustrate some particular geometric concepts. The process of the construction of these models allows for building imagery, testing predictions, arousing and satisfying curiosity, connecting to Geometric concepts and most of all motivating and holding interest. It is envisaged that this approach to the teaching and learning of geometric concepts will provide grounds for discussion, enrichment, exploration, clarification of and ownership of ideas, and cross curriculum integration. It has the potential to reduce the apparent difficulty students experience with the study of geometric concepts.

Made available in DSpace on 2014-12-17T14:36:14Z (GMT). No. of bitstreams: 1 OsvaldoSB_1-150_TESE.pdf: 4739260 bytes, checksum: adf88e018aca50ebb29a4c69cccdbb6f (MD5) Previous issue date: 2010-12-14 / This thesis describes and analyzes various processes established and practiced by both groups about the socio-cultural objective (action) the measurement and timing, mobilized some socio-historical practices as the use of the gn?mon of the sundial and reading and interpretation of movements celestial constellations in cultural contexts such as indigenous communities and fishermen in the state of Par?, Brazil. The Purpose of the study was to describe and analyze the mobilization of such practices in the socio-historical development of matrices for teaching concepts and skills related to geometric angles, similar triangles, symmetry and proportionality in the training of mathematics teachers. The record of the entire history of investigation into the socio-historical practice, the formative action was based on epistemological assumptions of education ethnomathematics proposed by Vergani (2000, 2007) and Ubiratan D'Ambrosio (1986, 1993, 1996, 2001, 2004) and Alain Bishop conceptions about mathematics enculturation. At the end of the study I present my views on the practices of contributions called socio-cultural and historical for school mathematics, to give meaning to the concept formation and teaching of students, especially the implications of Education Ethnomatematics proposed by Vergani (2000) for training of future teachers of mathematics / Esta tese descreve a analisa alguns processos estabelecidos e praticados por dois grupos socioculturais acerca da objetiva(a??o) da medi??o do tempo, mobilizados de algumas pr?ticas s?cio-hist?ricas como o uso do gn?mon, do rel?gio de Sol e a leitura e interpreta??o dos movimentos das constela??es celestes, em contextos culturais como as comunidades ind?genas e de pescadores do estado do Par?. A finalidade do estudo foi descrever a mobiliza??o de tais pr?ticas s?cio-hist?ricas na elabora??o de matrizes para o ensino de conceitos e habilidades geom?tricas relacionadas a ?ngulos, semelhan?a de tri?ngulos, proporcionalidade e simetria na forma??o de professores de Matem?tica. O registro de toda a trajet?ria de investiga??o das pr?ticas s?cio-hist?ricas, da a??o formativa, foi realizado com base nos pressupostos epistemol?gicos da Educa??o Etnomatem?tica, propostos por Vergani (2000, 2007) e D Ambrosio (1986, 1993, 1996, 2001, 2004). e nas concep??es de Alain Bishop acerca da Encultura??o Matem?tica. Ao final do estudo apresento minhas impress?es quanto ?s contribui??es mobilizadas das pr?ticas s?cio-hist?ricas e culturais para a matem?tica escolar, no sentido de dar significa??o ? forma??o conceitual e did?tica dos alunos, principalmente nas implica??es da Educa??o Etnomatem?tica proposta por Vergani (2000, 2007) para a forma??o de futuros professores de Matem?tica

The main purpose of this workshop is to focus upon a complementary approach to the study of, and the investigation into, concepts related to Geometry- Space Strand. It ought to benefit educators especially those who prepare teachers for the primary/elementary schools. Participants in this workshop will initially learn the skills needed in Pop-Up Engineering to produce ‘hole’ 3- D paper models which illustrate some particular geometric concepts. The process of the construction of these models allows for building imagery, testing predictions, arousing and satisfying curiosity, connecting to Geometric concepts and most of all motivating and holding interest. It is envisaged that this approach to the teaching and learning of geometric concepts will provide grounds for discussion, enrichment, exploration, clarification of and ownership of ideas, and cross curriculum integration. It has the potential to reduce the apparent difficulty students experience with the study of geometric concepts.