Modelling the Relationships Between Quantities: Meaning in Literal Expressions

Marijana Zeljić

doi:10.12973/eurasia.2015.1362a

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Marijana Zeljić ¹ ^*

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¹ Teacher Education Faculty^* Corresponding Author

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.

Keywords

literal expression
generalization
modeling
visualization
scheme

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, Volume 11, Issue 2, 2015, 431-442

https://doi.org/10.12973/eurasia.2015.1362a

Publication date: 02 Apr 2015

Article Views: 2029

Article Downloads: 772

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How to cite this article

APA

Zeljić, M. (2015). Modelling the Relationships Between Quantities: Meaning in Literal Expressions. Eurasia Journal of Mathematics, Science and Technology Education, 11(2), 431-442. https://doi.org/10.12973/eurasia.2015.1362a

Vancouver

Zeljić M. Modelling the Relationships Between Quantities: Meaning in Literal Expressions. EURASIA J Math Sci Tech Ed. 2015;11(2):431-42. https://doi.org/10.12973/eurasia.2015.1362a

AMA

Zeljić M. Modelling the Relationships Between Quantities: Meaning in Literal Expressions. EURASIA J Math Sci Tech Ed. 2015;11(2), 431-442. https://doi.org/10.12973/eurasia.2015.1362a

Chicago

Zeljić, Marijana. "Modelling the Relationships Between Quantities: Meaning in Literal Expressions". Eurasia Journal of Mathematics, Science and Technology Education 2015 11 no. 2 (2015): 431-442. https://doi.org/10.12973/eurasia.2015.1362a

Harvard

Zeljić, M. (2015). Modelling the Relationships Between Quantities: Meaning in Literal Expressions. Eurasia Journal of Mathematics, Science and Technology Education, 11(2), pp. 431-442. https://doi.org/10.12973/eurasia.2015.1362a

MLA

Zeljić, Marijana "Modelling the Relationships Between Quantities: Meaning in Literal Expressions". Eurasia Journal of Mathematics, Science and Technology Education, vol. 11, no. 2, 2015, pp. 431-442. https://doi.org/10.12973/eurasia.2015.1362a