Zermelo Game

Abstract

This paper presents the software Zermelo Game, a free online game designed to support educational activities related to sets and quantifiers. The presentation of the game is accompanied by pilot tests concerning its application in various contexts: from the beginning of primary school to the end of high school. We will describe the mathematical and educational framework behind the software, how the software works and how it was used during classroom activities. The trial runs suggest some findings which merit future research endeavours. The most important findings, in our view, concern the role of the game in promoting collaborative and reflective processes, i.e., the discussions among students themselves as well as between teachers and students regarding why a certain statement is or is not true.