Learners' errors and misconceptions associated with common fractions

M.Ed. (Mathematics Education)This research aimed to explore errors associated with the concept of fractions displayed by Grade 5 learners. This aim specifically relates to the addition and subtraction of common fractions. In order to realize the purpose of the study, the following objective was set: To identify errors that learners display when adding and subtracting common fractions. The causes which led to the errors were also established. Possible ways which can alleviate learners' misconceptions and errors associated with them were also discussed. The study was conducted at Dyondzo (Fictitious name) Primary School, Vhembe District in Limpopo Province. The constructivist theory of learning was used to help understand how learners construct their meanings of newly acquired knowledge. It was a qualitative study where most of the data and findings were presented with think descriptions using descriptive analysis techniques. A group of forty nine learners was selected purposively within two classes of Grade 5 to write the class work, home work and test on addition and subtraction of fractions. Learners were interviewed and so were two teachers. The five teachers also completed a questionnaire of five questions to supplement the interviews. The study found that learners made a number of errors in the addition and subtraction of fractions, including conceptual errors, carelessness errors, procedural errors and application errors. This finding supports findings that primary school children experience difficulties when learning the concept of fractions