The Effect of Probabilistic Thinking on the Ability of Undergraduate Students of Mathematics Education in Solving Binomial Distribution Problems

Abstract

Mathematical statistics course I is one of the compulsory subjects taught in tertiary institutions, one of the sub-matters is distribution which is divided into 2, namely discrete distribution and continuous distribution. The discrete distribution is one of the materials that is poorly understood, especially regarding the binomial distribution, so that students' mastery of the material becomes very lacking. Efforts to overcome this problem include maximizing probabilistic students' thinking and solving problems on the binomial distribution so that undergraduate students can understand the concepts taught by the supervisor of the course. The purpose of this research is to find out how much probabilistic students' thinking skills are in solving binomial distribution problems. While solving the problem of the binomial distribution is an ability in the problem solving process by using all knowledge in solving the binomial distribution problem through 4 step indicators, namely random experiments, sample space, events, and the probability of an event and skills that already exist and synthesize them so that the goal of solving is achieved. the problem with the binomial distribution is the chance of getting success or failing. The method used in this research is a quantitative approach. The type of research used is a case study. The population and sample in this study were fourth semester undergraduate students, Mathematics Education Study Program, FKIP USN Kolaka Class of 2020/2021, a total of 24 students. The instrument used for data collection is a probabilistic thinking test and a probability distribution problem solving test. The results of this study obtained the value of Fcount = 7.662 with a significance of 0.011 < α = 0.05 then Ho was rejected and Ha was accepted. This means that students' probabilistic thinking has a significant influence in overcoming the problem of the binomial distribution. While the correlation value (r) of 0.508 is included in the sufficient criteria. The coefficient of determination (r2) = 0.258 or 25.80%, meaning that there is an influence between the independent variable and the dependent variable and the remaining 74.20% is determined by other factors. The regression equation for variable Y on variable X is: = 48,020+0,437X. A constant of 48,020 states that if the value of critical thinking is 0,437 then the student's ability to solve the binomial distribution problem is 48,020. The regression coefficient of 0.437 states that each additional value of 1 in critical thinking will increase undergraduate students' ability to solve the problem of the binomial distribution of 0.437.

Keywords

• Probabilistic Thinking, Undergraduate Students of Mathematics Education, Problem Solving, Binomial Distribution