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Título
Difficulties in semantically congruent translation of verbally and symbolically represented algebraic statements
Autor(es)
Palabras clave
Algebraic statements
Verbal representation
Representation
Algebraic symbolism
Translation
Clasificación UNESCO
1201 Álgebra
1201.14 Teoría de la Representación
Fecha de publicación
2022
Editor
Springer Nature
Citación
Castro, E., Cañadas, M.C., Molina, M. et al. (2021). Difficulties in semantically congruent translation of verbally and symbolically represented algebraic statements. Educ Stud Math. https://doi.org/10.1007/s10649-021-10088-3
Resumen
This paper describes the difficulties faced by a group of middle school students (13- to 15-year-olds) attempting to translate algebraic statements written in verbal language into symbolic language and vice versa. The data used were drawn from their replies to a written quiz and semi-structured interviews. In the former, students were confronted with a series of algebraic statements and asked to choose the sole translation, of four proposed for each, that was semantically congruent with the original. The results show that most of the errors detected were due to arithmetic issues, especially around the distinction between product
and exponent or sum and product in connection with the notions of perimeter and area. As a rule, the error distribution by type varied depending on the type of task involved.
URI
ISSN
0013-1954
DOI
10.1007/s10649-021-10088-3
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