Visualization in pattern generalization: Potential and Challenges

This study tries to understand how pre-service teachers, for basic education, solve problems involving the generalization of visual patterns, identifying: the strategies used; the difficulties presented; the role of visualization in their reasoning; the factors that influence their generalizations....

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Main Authors: Ana Barbosa, Isabel Vale
Format: Article
Language:English
Published: European Teacher Education Network 2015-12-01
Series:JETEN
Subjects:
Online Access:https://etenjournal.com/2020/02/07/visualization-in-pattern-generalization-potential-and-challenges/
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author Ana Barbosa
Isabel Vale
author_facet Ana Barbosa
Isabel Vale
author_sort Ana Barbosa
collection DOAJ
description This study tries to understand how pre-service teachers, for basic education, solve problems involving the generalization of visual patterns, identifying: the strategies used; the difficulties presented; the role of visualization in their reasoning; the factors that influence their generalizations. We followed a qualitative methodology. The participants were 80 pre-service teachers. During the classes of a Didactics of Mathematics unit course, they solved a sequence of tasks involving growing visual patterns. Results showed that students were able to use different strategies, but also that some dimensions of the tasks can have impact in their reasoning, provoking, sometimes, a shift on the strategies used and the emergence of difficulties of different kind.
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spelling doaj.art-97c5f656111c4feaaa4e088c100e1f5d2022-12-21T22:32:42ZengEuropean Teacher Education NetworkJETEN2183-22342015-12-011020155770Visualization in pattern generalization: Potential and ChallengesAna Barbosa0Isabel Vale1School of Education of the Polytechnic Institute of Viana do Castelo Viana do Castelo, PortugalSchool of Education of the Polytechnic Institute of Viana do Castelo Viana do Castelo, PortugalThis study tries to understand how pre-service teachers, for basic education, solve problems involving the generalization of visual patterns, identifying: the strategies used; the difficulties presented; the role of visualization in their reasoning; the factors that influence their generalizations. We followed a qualitative methodology. The participants were 80 pre-service teachers. During the classes of a Didactics of Mathematics unit course, they solved a sequence of tasks involving growing visual patterns. Results showed that students were able to use different strategies, but also that some dimensions of the tasks can have impact in their reasoning, provoking, sometimes, a shift on the strategies used and the emergence of difficulties of different kind.https://etenjournal.com/2020/02/07/visualization-in-pattern-generalization-potential-and-challenges/visualizationpatternsgeneralizationfunctional reasoning
spellingShingle Ana Barbosa
Isabel Vale
Visualization in pattern generalization: Potential and Challenges
JETEN
visualization
patterns
generalization
functional reasoning
title Visualization in pattern generalization: Potential and Challenges
title_full Visualization in pattern generalization: Potential and Challenges
title_fullStr Visualization in pattern generalization: Potential and Challenges
title_full_unstemmed Visualization in pattern generalization: Potential and Challenges
title_short Visualization in pattern generalization: Potential and Challenges
title_sort visualization in pattern generalization potential and challenges
topic visualization
patterns
generalization
functional reasoning
url https://etenjournal.com/2020/02/07/visualization-in-pattern-generalization-potential-and-challenges/
work_keys_str_mv AT anabarbosa visualizationinpatterngeneralizationpotentialandchallenges
AT isabelvale visualizationinpatterngeneralizationpotentialandchallenges