Modelling the Relationships Between Quantities: Meaning in Literal Expressions
 
 
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Teacher Education Faculty
CORRESPONDING AUTHOR
Marijana Zeljić   

Teacher Education Faculty, Kraljice Natalije 43, 11000 Belgrade, Serbia
Publish date: 2015-04-02
 
EURASIA J. Math., Sci Tech. Ed 2015;11(2):431–442
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ABSTRACT
Background:
Algebra is often considered to be difficult and mysterious doctrine due to numerous symbols that represent mathematical notions. Results of the research on students’ interpretation of literal expressions show that only a small number of students are ready to accept that a letter can represent a variable. The aim of this research conducted with students of the fourth grade of elementary school was to examine the impact of the use of various symbols, which represent the relationships between quantities, on students’ understanding of the meanings of literal expressions.

Materials and methods:
We used an experimental method (with one group) and testing techniques (pre-test and final-test comparisons).

Results:
The research results show that the iconic representation of the structure of literal expressions, namely, giving meaning to a term through its reliance on certain schemes in the learning process, significantly affects the ability of students in modelling generic quantitative relationships, and in the development of the meaning of letters in the role of the algebraic variable.

Conclusions:
However, the results of our study show that it is possible to develop procedural as well as structural understanding of literal expressions in younger elementary school students.

eISSN:1305-8223
ISSN:1305-8215