Coordinating vector field equations and diagrams with a serious game in introductory physics

TL;DR

This paper presents a serious game designed to improve introductory physics students' ability to connect algebraic and graphical vector field representations through interactive puzzles and a reward system, aiming to enhance representational fluency.

Contribution

The paper introduces a novel, freely available serious game that actively engages students in configuring vector fields, integrating a reward system to promote conceptual understanding over trial-and-error.

Findings

Game encourages mental connection between graphical and algebraic representations.

Initial classroom use shows potential for improving representational fluency.

Students engage more deeply with vector field concepts through interactive puzzles.

Abstract

Mathematical reasoning with algebraic and graphical representations is essential for success in physics courses. Many problems require students to fluently move between algebraic and graphical representations. We developed a freely available serious game to challenge the representational fluency of introductory students regarding vector fields. Within the game, interactive puzzles are solved using different types of vector fields that must be configured with the correct mathematical parameters. A reward system implemented in the game prevents from using trial-and-error approaches and instead encourages the player to establish a mental connection between the graphical representation of the vector field and the (algebraic) equation before taking any action. For correct solutions, the player receives points and can unlock further levels. We report about the aim of the game from an educational perspective, describe potential learning scenarios and reflect about a first attempt to use the game in the classroom.