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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Format: | Article |
Language: | English |
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European Teacher Education Network
2015-12-01
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Series: | JETEN |
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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. |
first_indexed | 2024-12-16T11:51:05Z |
format | Article |
id | doaj.art-97c5f656111c4feaaa4e088c100e1f5d |
institution | Directory Open Access Journal |
issn | 2183-2234 |
language | English |
last_indexed | 2024-12-16T11:51:05Z |
publishDate | 2015-12-01 |
publisher | European Teacher Education Network |
record_format | Article |
series | JETEN |
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 |