Teaching Mathematics: When Using Active Learning in Mathematics Classroom

Abstract

Active learning in mathematics goes beyond simply having fun activities, group discussions, hands-on activities, transferring knowledge to others, or immediate application of knowledge. This academic article aims to present the concept of active learning, its characteristics in mathematics education, and example of active learning in mathematics, specifically on the Pythagorean theorem. The main points include:
1) Active learning approach encourages students to actively participate in learning activities, using their knowledge, skills, and higher-order thinking processes to construct their understanding through social interactions. It involves the assimilation of new experiences and the accommodation of their existing schemas to achieve equilibration; 2) The key features of active learning in mathematics include presenting mathematical activities that invite student participation, engaging students in activities that respond to their curiosity, reflecting on learning activities, and participating in social interactions to communicate and discuss mathematical concepts embedded in the activities; and 3) One example of using active learning in mathematics on Pythagorean theorem is a lesson called “Geometry on an Octagonal Umbrella”.
It starts with presenting engaging information, organizing activities where students use mathematics to find answers to their questions, reflecting on what they have learned, and discussing to communicate their mathematical ideas.