Open Conference Systems, MISEIC 2020

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The effectiveness of group theory learning through actions on objects
Dwi Juniati, I Ketut Budayasa

Last modified: 2020-07-10

Abstract


Group theory is one of the topics discussed in abstract algebra that studies a set with binary operations that meet certain conditions. Because of its abstract nature, it is often difficult for students to learn it, so a strategy to facilitate students to learn easier was needed. This research described the success of strategies to study group theory by starting with taking action on an object. The strategy was carried out by studying the properties of a group by taking action on cardboard in the form of a square, rectangular, and generalizing to various other shapes. With these objects, the students studied what the meaning of groups, subgroups, order of an element, commutative groups, cyclic groups, dihedral groups, symmetry groups and isomorphism group. This research was conducted on mathematics students at Surabaya State University. This strategy was given to the class with treatment and one other class was given learning as usual. Pretest and posttest were given to both classes and questionnaires were given to students from the class with treatment. Based on statistical tests, it was found that the pretest results of the two classes gave no different results, meaning that the initial abilities of the two classes were the same. From the results of the posttest using t-test, it was obtained that there was a difference from the mean of the two classes with the result of the treatment class being higher with an average difference of 11 points. From the student questionnaire it was also found that more than 85% of students easily studied group theory with the strategies carried out, the tasks given helped them to learn group theory.


Keywords


group theory; action on objects; effectiveness