A bounded confidence model to predict how group work affects student math anxiety

TL;DR

This paper introduces a modified bounded confidence model to simulate how group interactions influence student math anxiety, revealing optimal group sizes and strategies for reducing anxiety.

Contribution

It presents a novel mathematical model incorporating attractive and repulsive interactions to analyze the impact of peer dynamics on math anxiety.

Findings

Optimal group size minimizes average math anxiety.

Randomly switching group members can significantly reduce anxiety.

The model offers qualitative predictions and is adaptable for future research.

Abstract

Math anxiety is negatively correlated with student performance and can result in avoidance of further math/STEM classes and careers. Cooperative learning (i.e., group work) is a proven strategy that can reduce math anxiety and has additional social and pedagogical benefits. However, depending on the group individuals, some peer interactions can mitigate anxiety while others exacerbate it. We propose a mathematical modeling approach to help untangle and explore this complex dynamic. We introduce a modification of the Hegselmann-Krause bounded confidence model, including both attractive and repulsive interactions to simulate how math anxiety levels are affected by pairwise student interactions. The model is simple but provides interesting qualitative predictions. In particular, Monte Carlo simulations show that there is an optimal group size to minimize average math anxiety, and that switching group members randomly at certain frequencies can dramatically reduce math anxiety levels. The model is easily adaptable to incorporate additional personal and societal factors, making it ripe for future research.