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)
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Salvador, v.5, n.2 p.143-168, mai/ago. 2020
Atividade orientadora de ensino: uma proposta à produção de signicados em Geometria
ATIVIDADE ORIENTADORA DE ENSINO: uma proposta à produção
de signicados em Geometria
No presente artigo são apresentados os resultados de uma Atividade de Ensino aplicada futuros professores
de Matemática com a nalidade de analisar a produção de signicados dos participantes acerca do estudo
de conceitos geométricos não euclidianos. A Teoria Histórico-Cultural, complementada pela Teoria da
Atividade e a Atividade Orientadora de Ensino são os aportes teóricos que subsidiaram a investigação
e as ações pedagógicas neste estudo. Assim, apoiamo-nos nos pressupostos teórico-metodológicos da
Atividade Orientadora de Ensino como um desdobramento da perspectiva Histórico-Cultural, segundo a
qual utilizamos como contexto para a negociação de signicados entre os participantes. As informações
foram captadas por meio da aplicação de uma proposta de intervenção envolvendo 15 licenciandos do
curso de Matemática da Universidade do Estado da Bahia. Para a construção dos dados obtidos nesse
estudo utilizamos os seguintes instrumentos: áudio gravações, Atividade de Ensino, diário de campo
e relatórios individuais. O processo de internalização dos conceitos geométricos foi apreendido e
analisado, utilizando-se como pressupostos duas categorias: o Conito – da validade lógica à validade
empírica; e a Ruptura – do espaço euclidiano para outros espaços, constituídas por meio das interações
entre os participantes. Os participantes ao estudarem modelos geométricos não euclidianos atribuíram
signicados diferenciados para o conceito da soma de ângulos internos de um triângulo, ampliando assim,
a compreensão desse conceito quando constituídos no modelo geométrico euclidiano. Concluímos que o
estudo de diferentes modelos geométricos, na perspectiva da Atividade Orientadora de Ensino, promoveu
o desenvolvimento do pensamento teórico dos licenciandos investigados tornando-se um caminho para a
produção de signicados no processo de ensino e aprendizagem da Geometria.
Palavras-chave: Atividade Orientadora de Ensino. Formação de professores. Geometrias não Euclidianas.
TEACHING GUIDANCE ACTIVITY: a proposal for the production of meanings in Geometry
In the present article the results of a Teaching Activity applied to future Mathematics, teachers presented
in order to analyze the production of meanings of the participants about the study of non-Euclidean
Geometric concepts. The Historical-Cultural Theory, complemented by the Activity Theory and the
Teaching Guiding Activity are the theoretical contributions that supported the investigation and the
pedagogical actions in this study. Thus, we rely on the theoretical and methodological assumptions of
the Teaching Guidance Activity as an unfolding of the Historical-Cultural perspective, according to
which we use it as a context for the negotiation of meanings between the participants. The information
captured through the application of an intervention proposal involving 15 undergraduate students in the
Mathematics course at the University of the State of Bahia. For the construction of the data obtained
in this study, we used the following instruments: audio recordings, Teaching Activity, eld diary and
individual reports. The internalization process of geometric concepts captured and analyzed, using two
categories as assumptions: Conict - from logical validity to empirical validity; and the Rupture - from
the Euclidean space to other spaces, constituted through the interactions between the participants. When