Andi Mulawakkan Firdaus, Dwi Juniati, Pradnyo Wijayanti
This research aims to the Number Generalization process based on APOS Framework (action, process, object, and schema). Furthermore, the research is explorative research with a qualitative approach. The subjects of the study were one of the junior high school students who won the provincial mathematics Olympiad in South Sulawesi, Indonesia. Subjects were given instruments that had been developed, namely the number patterns generalization test. Data collection of this study is the number patterns generalization test and in-depth interviews. The data analysis process was reducing, describing, validating, and concluding. The results showed that the students who won the Olympics in the action stage determine the next term, if given a sequence by using a number pattern. At the stage of the process, action interiorizing by calculating the value of the next term repeatedly and explaining the process of determining the next term. At the object stage, encapsulating the process by showing that a number pattern has certain characteristics, de-encapsulating by assessing the observed pattern, and checking the number pattern found. At the schema stage, explaining the generalization properties of number sequence patterns by linking the actions, processes, objects of a concept with other concepts, doing thematization by linking the existing concept patterns to the general sequence. © 2020 The Authors.
Universitas Muhammadiyah Makassar, Indonesia; Universitas Negeri Surabaya, Indonesia
