Abstract

The purpose of this study was to investigate what common errors and misconceptions about fractions exist among Saudi Arabian college students. Moreover, the study aimed at investigating the possible explanations for the existence of such misconceptions among students. A researcher developed mathematical test aimed at identifying common errors about fractions as well as short interviews, aimed at understanding the thought process while solving problems on the test, were conducted among a total of 107 (n=107) college students. The findings suggested that the majority of college students in Saudi Arabia hold common misconceptions about fractions and mathematical calculations involving fractions, such as thinking that all fractions are always part of 1 and never greater than 1, and using cross multiplication to solve multiplication problems involving fractions.

Highlights

  • The concept of fractions in mathematics has always been considered a difficult concept to understand by learners

  • Data analysis after grading the test revealed some common misconceptions among majority of students

  • Since research shows that many of the problems students have with fractions are caused by their lack of understanding of fraction as real numbers, we need to find ways to help introduce fractions to students in a more simple and comprehendible manner

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Summary

Introduction

The concept of fractions in mathematics has always been considered a difficult concept to understand by learners. Most learners have hard time thinking about fractions as numbers. They tend to see it only as a calculation on its own (division) or as a complex set of two numbers written on top of each other (Weinberg, 2001). That is why those learners use specific abstract rules to solve problems with fractions without really understanding the interpretations of these rules. Research has shown that the majority of students find fractions to be too difficult and complex when involved in calculations; they find them difficult to visualize and to relate to their daily lives

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