Probability learning trajectory: Students’ emerging relational understanding of probability through ratio

Abstract

Several studies on learning mathematics indicate that students have difficulty in understanding the concept of probability. Students are more likely to be introduced by the use of the formula without involving the concept itself. This underlies the researcher to design a probability learning trajectory in ratio which always starts from concrete to abstract level. The probability learning trajectory explained of student thinking and learning over time about to with concerning set of tasks and activities developed. The probability learning trajectory helped by context problem. This study aims to look at relational understanding ability eighth-grade students in solving the problem of a probability. The method used is design research which describes student learning activities in solving problems using ratio. The data collection technique is done by video recorder, documentation and test question. The instruments are a video that is to see student activities during the study, photos to see the results of student work and work the answer to see student answers to the questions given. The results of the research carried out obtained that students experienced an increase in relational understandingand the gave a good response to in solving the probability questions.