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Rodríguez-Martínez, José Antonio; González-Calero, José Antonio; Olmo-Muñoz, Javier; Arnau, David; Tirado-Olivares, Sergio – British Journal of Educational Technology, 2023
This study analyses the potential of a learning analytics (LA) based formative assessment to construct personalised teaching sequences in Mathematics for 5th-grade primary school students. A total of 127 students from Spanish public schools participated in the study. The quasi-experimental study was conducted over the course of six sessions, in…
Descriptors: Foreign Countries, Elementary School Students, Grade 5, Mathematics Instruction
Soneira, Carlos; González-Calero, José Antonio; Arnau, David – Educational Studies in Mathematics, 2018
We present two empirical studies with 241 and 211 pre-service teachers that evaluate the explanatory power of word order matching and static comparison as models for the reversal error. We used tasks consisting of generating an algebraic equation representing a comparison given in a verbal statement. We introduce the types of magnitude involved in…
Descriptors: Preservice Teachers, Algebra, Equations (Mathematics), Comparative Analysis
Soneira, Carlos; González-Calero, José Antonio; Arnau, David – International Journal of Science and Mathematics Education, 2018
When translating word problems into equations, a common error consists of using the same letter to refer to two different quantities. This error, called multiple referents for the unknown, can be connected to the existence of deictic or indexical expressions within the problem statement. This paper aims to analyse the influence of indexical…
Descriptors: Word Problems (Mathematics), Equations (Mathematics), Error Patterns, Incidence
González-Calero, José Antonio; Berciano, Ainhoa; Arnau, David – Mathematical Thinking and Learning: An International Journal, 2020
The reversal error is a prevalent phenomenon that consists of reversing the relationship between two variables when writing equations from comparison in verbal language. A study with 169 Basque/Spanish bilingual pre-service teachers examined whether this error is mainly due to the students' tendency to employ a direct-translation strategy based on…
Descriptors: Thinking Skills, Language Processing, Language Role, Equations (Mathematics)
Influence of Additive and Multiplicative Structure and Direction of Comparison on the Reversal Error
González-Calero, José Antonio; Arnau, David; Laserna-Belenguer, Belén – Educational Studies in Mathematics, 2015
An empirical study has been carried out to evaluate the potential of word order matching and static comparison as explanatory models of reversal error. Data was collected from 214 undergraduate students who translated a set of additive and multiplicative comparisons expressed in Spanish into algebraic language. In these multiplicative comparisons…
Descriptors: Error Patterns, Undergraduate Students, Spanish, Algebra