Banca de DEFESA: CELSO EDUARDO BRITO
Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.DISCENTE : CELSO EDUARDO BRITO
DATA : 06/11/2019
HORA: 14:00
LOCAL: Instituto de Física da UFBA
TÍTULO:
STUDY OF CENTER OF MASS IN DIFFERENTIAL AND INTEGRAL CALCULUS: A didactic approach involving technological resources.
PALAVRAS-CHAVES:
Differential and Integral Calculus; Mass Center; Instrumental Approach; Error Analysis; Concrete models; GeoGebra.
PÁGINAS: 273
GRANDE ÁREA: Ciências Humanas
ÁREA: Educação
SUBÁREA: Ensino-Aprendizagem
ESPECIALIDADE: Tecnologia Educacional
RESUMO:
This thesis work was developed with the methodology of Institutional Analysis & Didactic Sequence, divided into two major designated moments: Internal Research and External Research. In the first one, we make an institutional analysis of the reference mathematical object of this thesis, called Center of Mass in one and two dimensions, proposed in the teaching of Differential and Integral Calculus, in the Civil Engineering Course of the Instituto Federal de Educação, Ciência e Tecnologia da Bahia – IFBA, on the campus of the city of Eunapolis. This analysis contemplates the decision for the choice of observed institutional elements, in accordance with our problematic and objectives, that revolves around the effective practices of the students, before the mathematical object of reference, in an ecological and praxeological bias, aiming to contribute to the process of teaching and learning of this object of knowledge. To this end, we mention the Anthropological Theories of Didactics, the Semiotic Representation Records, as well as the Instrumental Approach, thus constituting our theoretical framework when we ask ourselves: what are the contributions of Didactics of Mathematics, in the analysis of mistakes made by the students, in view of the accomplishment of the tasks that involve the study of the one and two-dimensional Mass Center? From the institutional analysis, we elaborated a Didactic Sequence, organized in five sessions containing two Experimental Devices each, which in External Research was worked with the students of the reference and application institution, using the learning environments, paper/pencil and computational GeoGebra, as well as Freehandable Concrete Models. For this, we start from the hypothesis that “confronting students with situations or tasks that can be analyzed in different representation registers, mobilizing different ostensive and non-ostensive objects in different learning environments, allows them to develop more cohesively the concepts of Mass Center in higher education, thus self-assessing the mistakes made”. However, it is necessary, in addition to the mobilization of the theoretical-technological block of the mathematical object of reference in the research, the learning of instrumental techniques specific to the environments used in the accomplishment of these tasks. This learning should be considered as one of the objectives of the reference institution, while responsible for the training of these students, considered as future professionals in the field of Engineering. In the analysis of the results, we found that the use of learning environments to perform organized tasks based on the modeled praxeology of the Mass CenterStudy goes beyond the knowledge developed in the reference institution, leading students to access other possible existing relationships based on checks and investigative learning. In addition, we were able to identify the advantages and disadvantages of using these environments as auxiliary tools to perform the types of tasks proposed in this research.
MEMBROS DA BANCA:
Presidente - 2138504 - LUIZ MARCIO SANTOS FARIAS
Interno - 519.326.105-10 - GEILSA COSTA SANTOS BAPTISTA - UEFS
Interno - 2998326 - LYNN ROSALINA GAMA ALVES
Externo à Instituição - VINICIUS SOUZA BITTENCOURT
Externo à Instituição - ROBERTO CARLOS DANTAS ANDRADE. - UFPA
Externo à Instituição - AFONSO HENRIQUES - UESC-BA