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Categories to assess the understanding of university students about a mathematical concept

Rodríguez-Vásquez, Flor Monserrat; Arenas-Peñaloza, Jhonatan (2021). Categories to assess the understanding of university students about a mathematical concept. Acta Scientiae. Revista de Ensino de Ciências e Matemática, 23(1), pp. 102-134 .

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Resumen

Background: one of the problems in mathematics education is students’ little understanding of mathematics both at the basic and higher educational levels, which is why we consider essential the design of adequate instruments and methods that can measure understanding about specific concepts. Objective: to assess the understanding of university students of the concept of a real function. Design: the research is qualitative as the attributes of a cognitive construct were analysed and interpreted. Setting and participants: there were 36 students of a degree in mathematics (18-20 years old) whose productions were analysed. All the students had taken the calculus i course. Data collection and analysis: a test of six items related to tasks that involved the concept of function was applied, the data analysis was carried out from the evaluation categories proposed by albert and kim, who consider three categories to assess understanding, those being: the ability to justify, to understand why a particular mathematical statement is true, and to understand where a mathematical rule comes from. Results: the evaluation of the understanding of the concept of function has shown that, in order to achieve a high understanding, not only skills must be developed for the recognition of aspects of the function such as its definition, its discrimination or its application, but the ability to be able to justify such aspects must be considered too. Conclusion: the categories of understanding considered help to strengthen conceptual and procedural understanding, indicating comprehensive understanding.

Tipo de Registro:Artículo
Términos clave:Otros términos clave específicos no incluidos en las secciones anteriores > T-Z > Tarea
14. Matemáticas superiores > Algebra (matemáticas superiores)
08. Evaluación > Instrumentos de evaluación
06. Aprendizaje > Procesos cognitivos > Comprensión
14. Matemáticas superiores > Cálculo (matemáticas superiores)
Nivel Educativo:Título de grado universitario
Código ID:28672
Depositado Por:Monitor Funes 2
Depositado En:13 Jun 2022 14:01
Fecha de Modificación Más Reciente:13 Jun 2022 14:01
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