Aplicación de la teoría APOE en el proceso de enseñanza-aprendizaje de estadística inferencial en la carrera de estadística de la ESPOCH, periodo abril- agosto 2022

Abstract

The objective of this research project was focused on applying the APOS theory (action, process, object, scheme) to identify the difficulties and solutions in the teaching-learning process of the minimum contents with low ability that were presented in the subject of Inferential Statistics that were detected in phase 1. For the design and implementation of the APOS methodology, it was necessary to realize a qualitative investigation, making use of documentary analysis and application studies of the APOS theory related to Statistics and Mathematics. The research design was nonexperimental with observation of two groups (control and test) with non-probability convenience sampling. The guide of questions done in phase 1 was used to measure the knowledge acquired by the students after the application of the aforementioned methodology, considering only the test items that correspond to the sub-themes of the minimum contents of low ability for evaluation. Based on the data collected in the period April-August 2022, the tabulated information was presented and a descriptive and graphic analysis was developed, which permitted to observe that there is an improvement in academic performance, later an analysis was performed to compare the averages of the two groups, applying the Mann-Whitney U test since the data does not comply with the assumption of normality, where it was determined after the application of the methodology that the performance of the students increased satisfactorily. In conclusion, the implementation of the method is effective and therefore the genetic decomposition of the application of the APOS theory allowed to achieve the objectives proposed for this study.