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Joutsenlahti, Jorma; Kulju, Pirjo – Education Sciences, 2017
The purpose of this study is to present a multimodal languaging model for mathematics education. The model consists of mathematical symbolic language, a pictorial language, and a natural language. By applying this model, the objective was to study how 4th grade pupils (N = 21) understand the concept of division. The data was collected over six…
Descriptors: Case Studies, Arithmetic, Elementary School Mathematics, Elementary School Students
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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