Application of Markov chains to predict students^ achievement
Mohamad Riyadi(a*), Sumarni(a), Alda Puspa Mahesswari(a)

a) Faculty of Teacher Training and Education, Universitas Kuningan
Jln. Cut Nyak Dhien No. 36A Cijoho - Kuningan - Jawa Barat - Indonesia
*mohamad.riyadi[at]uniku.ac.id

Abstract

In higher education, the grade point average is one indicator of student learning success. Achievement of the GPA could be influenced by mindset. This study aims to estimate the results of the student achievement index based on the fixed mindset and the growth mindset. The data used is the achievement of the GPA of mathematics education students for the 2019/2020 academic year. The data analysis used a discrete Markov chain approach. The transition probability matrix is constructed. The transition probability, in the long run, is calculated by the homotopy perturbation method. The results show that in the long run, students with a fixed mindset will get a grade point average in the low categories while students with a growth mindset tend to get a grade point average in the middle categories.

Keywords: grade point average, mindset, Markov chain, homotopy perturbation method

Topic: MATHEMATICS AND SCIENCE EDUCATIONS