Abstract
The aim of this study is to analyze the mistakes that have been made in the group theory underlying the algebra mathematics. The 100 students taking algebra math 1 class and studying at the 2nd grade at a state university in Istanbul participated in this study. The related findings were prepared as a classical exam of 6 questions which have been presented by 3 academic members working at the same university and these questions were presented to the students accordingly. After findings were put into codes as Correct/Wrong answers, solutions coded as “Wrong” were analyzed according to the content analysis method. Classifying the mistakes made in the solutions by students, suggestions about how to rectify these mistakes were carefully offered. Key words: Math Training, Group Theory, Learning Disabilities.
Highlights
IntroductionLacking the amount of the individuals who have the ability of abstract thinking may result in a problem while trying to keep up with a contemporary world (Cucen and Erturk, 2008)
One of the meanings of the mathematical thinking is abstract thinking
The aim of this study is to analyze the mistakes that have been made in the group theory underlying the algebra mathematics
Summary
Lacking the amount of the individuals who have the ability of abstract thinking may result in a problem while trying to keep up with a contemporary world (Cucen and Erturk, 2008). The mathematical branches of the universities consist of analysis, algebra, numbers theory, geometry, applied mathematics, topology, basics of mathematics and the departments of the mathematical logic. Algebra lessons contain just one part of the basic capabilities which have been expected from the students studying at the mathematics department. As a result of this, the algebra which has been instructed at the universities has been called as “Abstract Algebra” by some researchers as well as some educators. The first subject of the algebra instructed at the university is the theory of group.
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