Tenth grade pupils engagement with the use of brackets in algebra : a case study in a school in Albania

2012

Masteroppgave i matematikkdidaktikk- Universitetet i Agder, 2012 Since algebra is considered as a language, it has its syntax, semantics, and pragmatics. In the third linguistic level (pragmatics) stand the relations between the elements of language and the users. Since brackets are elements of algebra language they have their syntax, which involves some rules that lead transformations of algebraic expressions even with brackets; and brackets have their semantic aspect, which is related to tackling of algebraic expressions into brackets such as mathematical objects. On the other side, the consideration of the syntactic aspect of algebraic expressions leads to instrumental understanding of t…