Towards a characterization of algebraic competence: an exploratory study with students

 

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Detalles Bibliográficos
Autores: Aké, Lilia P, Olvera-Martínez, Carmen
Formato: artículo original
Estado:Versión publicada
Fecha de Publicación:2022
Descripción:[Objective] The present article seeks to determine the algebraic competence displayed by a group of 27 university students in Mexico when they worked on an algebraic problem. A study framework is proposed based on the investigation of mathematical competence and levels of algebrization  in three areas: solving, interpreting and validating. [Methodology] A qualitative and exploratory study with convenience-based selection of students was implemented during a regular two-hour class. The professor and the researcher were present when the task was carried out in the classroom. [Results] The results show that the students had difficulties in problem solving because they did not effectively manipulate symbolic-literal expressions, and did not achieve the expected level of algebraization. They were also inconsistent in interpreting the task – that is, they did not identify or connect knowledge about the properties of the operations necessary to solve the algebraic problem. When validating their responses, they provided descriptive proofs or verifications. [Conclusions] The findings suggest that most of the participants did not display a basic level of algebraic competence, and the necessity of formulating stages of development based on the three actions is discussed.
País:Portal de Revistas UNA
Institución:Universidad Nacional de Costa Rica
Repositorio:Portal de Revistas UNA
Lenguaje:Español
OAI Identifier:oai:ojs.www.una.ac.cr:article/15994
Acceso en línea:https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/15994
Palabra clave:Algebraic competence
algebraic reasoning
algebraic tasks
mathematics education
university students
Competencia algebraica
razonamiento algebraico
tareas algebraicas
educación matemática
estudiantes universitarios
Competência algébrica
raciocínio algébrico
tarefas algébricas
educação matemática
estudantes universitários