Banca de QUALIFICAÇÃO: CESAR THIAGO JOSE DA SILVA

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : CESAR THIAGO JOSE DA SILVA
DATE: 19/02/2021
LOCAL: webconferência
TITLE:

Computational artifact use as support to the development of function covariational reasoning. 

KEY WORDS:

Covariational reasoning. Teaching and learning functions. Computational
technologies. Informatics Transposition. Instrumental Genesis.

PAGES: 97
BIG AREA: Ciências Humanas
AREA: Educação
SUMMARY:

This research is part of the problem of the integration and effects of the use of computational
artifacts in the teaching and learning of mathematics, particularly in the learning of functions
from a covariational perspective, that is, with emphasis on the joint variation of the variables of
the function. The research aims to investigate relationships between the effects of using a
computational artifact on the development of students' covariation reasoning and the informatics
transposition of the concept of covariation in this artifact. The theoretical frameworks of the
research comprise: the framework of Covariational Reasoning proposed by Thompson and
Carlson, Rabardel's Instrumental Approach, the Vergnaud's notion of schemes and Balacheff's
notion of Informatics Transposition. In order to understand the effects of using the artifact on
students' covariational reasoning, students' instrumental genesis with the artifact is described and
analyzed, seeking to characterize, in their schemes and in the processes that constitute genesis,
elements that indicate the development of their covariational reasoning. The analysis of
informatics transposition of covariation idea in the artifact, which is based on the aspects of
mathematical representation of covariation on the interface, and also on the artifact's possibilities
and restrictions, will serve as a frame to relate the transposition with the effects of using the
artifact on student's covariational reasoning. The research methodology is characterized as a
multiple case study, in which the cases are three undergraduate students pre-service mathematics
teachers in their instrumental genesis with the Geogebra software. The context of the case study
is a teaching experiment that was designed focusing on covariation situations with the use of the
artifact. This focus led to the adoption of the Instrumental Orchestration Model, as a tool to
structure the experiment and foster students' instrumental genesis. In addition to the teaching
experiment, the case study involved the application of questionnaires and task-based interviews.
Data comes from several sources: texts written in activity sheets, responses to questionnaires and
interviews, audio and screen video during the students' interactions with the artifact. The results
in the development of students' covariation reasoning are confronted with the analysis of
informatics transposition, in order to establish relations between these two processes.

BANKING MEMBERS:
Presidente - 2131772 - VERONICA GITIRANA GOMES FERREIRA
Interno - 038.876.714-65 - JADILSON RAMOS DE ALMEIDA - UFRPE
Externo ao Programa - 1285161 - ROGERIO DA SILVA IGNACIO
Externo à Instituição - VICTOR AUGUSTO GIRALDO - UFRJ
Externo à Instituição - JHONY ALEXANDER VILLA-OCHOA