National standardized tests database implemented as a research methodology in mathematics education. The case of algebraic powers.
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6 février 2019
- handle: 10670/1.6ujf18
- hal: hal-02430515
info:eu-repo/semantics/OpenAccess
Mots-clés
Standardized assessments qualitative and quantitative methodologies algebra semiotics powersSujets proches
School life Students--Education Pupils Student life and customs Competitive examinations TestsCiter ce document
Giorgio Bolondi et al., « National standardized tests database implemented as a research methodology in mathematics education. The case of algebraic powers. », HAL-SHS : sciences de l'éducation, ID : 10670/1.6ujf18
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Résumé
In this work we show the use of the INVALSI database as an instrument to collect organized data from national standardized tests in order to study students’ mathematical thinking on a large scale. It allows us to create appropriate correlations to single out the behavior of the students relative to a specific mathematical topic or a cognitive issue. In this study we have used the INVALSI database to study how grade 10 students work with powers in the domain of algebra. We analyze the quantitative data within a semiotic theoretical framework. Analyzing items taken from the INVALSI tests we are able to single out a general behavior that involves a population of Italian students and that persists in time. We interpret the results within our theoretical framework, thereby giving a quantitative validation to a theoretical perspective that has been proven consistent by qualitative investigations.