Banca de DEFESA: MARCOS PAULO HENRIQUE

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : MARCOS PAULO HENRIQUE
DATE: 15/04/2021
TIME: 15:00
LOCAL: Instituto de Educação (remoto)
TITLE:

Metaphors and Touching on Screen: Potentiating Student Learning in the Study of Parallel and Transversal Lines

KEY WORDS:

Touchscreen manipulations. Lines and angles. Concepts. Elementary School.

PAGES: 188
BIG AREA: Ciências Humanas
AREA: Educação
SUBÁREA: Ensino-Aprendizagem
SPECIALTY: Teorias da Instrução
SUMMARY:

Touch screen mobile devices (TSMD), such as the smartphone, are physical extensions of the human body that reconfigure and enable the enrichment of interactions, including in the imagery-metaphorical field and in conceptual elaboration. Admitting this specificity of the device and assuming that the construction of concepts goes through experimentation and occurs as a continuous process that involves the theories (explanations) that the subjects have about ideas, categories, entities, mathematical relationships, etc., this research aims to analyze the construction and development of concepts by students with a teaching methodology that values the production of metaphors through writing for the construction of meanings, interactions, analysis and reflection in exploratory and investigative tasks based on manipulations in smartphone screens when using the GeoGebra application. The question that guides the study is the following: “what contributions and challenges can a dynamic geometry environment (DGE) offer for conceptual development in the study of mathematical relationships between lines and angles through tasks that value the production of metaphors and the touchscreen manipulations of 8th grade elementary school students?”. Development research is the methodological approach that guides this thesis, which is based on the following actions: 1. Elaborating, implementing and analyzing tasks that allow reflection from writing and interaction through construction and analysis through the GeoGebra application for smartphones. 2. Elucidating conceptual metaphors produced by students. 3. Investigating how construction and conceptual development occurs from the adopted teaching methodology. 4. Mapping contributions and challenges of an DGE to TSMD in addressing the relationship between lines and angles. The investigation was carried out with students from two classes of a School Unit of the Rio de Janeiro’s State Education Department, at Resende city, through the discipline of Mathematical Problem Solving. The following procedures were performed for data collection: (a) audio and video recording, (b) screen capture of the touchscreen manipulations of the smartphones used by the students, (c) written responses from the activity sheets and (d) notes from the researcher. The research highlighted the importance and the simplistic way in which parallel lines cut by a transversal line are addressed in textbooks. It exposed the rupture in the Euclidean hierarchy in the approach of geometric concepts in an DGE, the synchronicity of touches in the construction and analysis of geometric objects, the development of touches that follows the triad environment-constructive domain-relational domain, and that the constructions in an DGE for TSMD follow the same direction of looking at a digital interface (left → right, in Western culture), elements that reinforce the thesis that it is possible to teach of the geometric contents of the final years of elementary school from the approach of cut parallel lines by a transversal. The research revealed organizational challenges of effectiveness and technical nature in the manipulations on screens. It showed that future research involving eye tracking and body language analysis can provide clues about the influence of the screen on visual perception to understand the subjects' mathematical reasoning.

BANKING MEMBERS:
Presidente - 1098802 - MARCELO ALMEIDA BAIRRAL
Externa ao Programa - 1420931 - DORA SORAIA KINDEL
Externa ao Programa - 2327924 - LUIZA ALVES DE OLIVEIRA
Externo à Instituição - CARLONEY ALVES DE OLIVEIRA - UFAL
Externo à Instituição - MAURICIO ROSA - UFRGS