Analysis of errors made by learners in simplifying algebraic expressions at grade 9 level

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Authors

Ncube, Mildret

Issue Date

2016-06

Type

Dissertation

Language

en

Keywords

Algebra , Simplifying an algebraic expression , Error , Systematic error , Error analysis , Misapplication of rules , Conjoining terms , Distributive property , Misinterpretation of algebraic notation , Conceptual understanding

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Analysis of errors made by learners in simplifying algebraic expressions at grade nine level

Abstract

The study investigated errors made by Grade 9 learners when simplifying algebraic expressions. Eighty-two (82) Grade 9 learners from a rural secondary school in Limpopo Province, South Africa participated in the study. The sequential explanatory design method which uses both quantitative and qualitative approaches was used to analyse errors in basic algebra. In the quantitative phase, a 20-item test was administered to the 82 participants. Learners’ common errors were identified and grouped according to error type. The qualitative phase involved interviews with selected participants. The interviews focused on each identified common error in order to establish the reasons why learners made the identified errors. The study identified six (6) common errors in relation to simplifying algebraic expressions. The causes of these errors were attributed to poor arithmetic background; interference from new learning; failure to deal with direction and operation signs; problems with algebraic notation and misapplication of rules.

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Ncube, Mildret (2016) Analysis of errors made by learners in simplifying algebraic expressions at grade 9 level, University of South Africa, Pretoria, <http://hdl.handle.net/10500/23199>

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