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Castro, Encarnación; Cañadas, María C.; Molina, Marta; Rodríguez-Domingo, Susana – Educational Studies in Mathematics, 2022
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…
Descriptors: Algebra, Middle School Students, Translation, Symbolic Language
Radford, Luis; Puig, Luis – Educational Studies in Mathematics, 2007
Before the advent of symbolism, i.e. before the end of the 16th Century, algebraic calculations were made using natural language. Through a kind of metaphorical process, a few terms from everyday life (e.g. thing, root) acquired a technical mathematical status and constituted the specialized language of algebra. The introduction of letters and…
Descriptors: Syntax, Problem Solving, Algebra, Semiotics