Hector Research Institute of Education Sciences and Psychology

Compass

A Mathematics Platform that Adapts to Learners

Our Goal

COMPASS (short for “Comprehensive Open Math Platform with Adaptive Self-Regulation Support”), aims to simultaneously promote mathematical learning and self-regulated learning using AI – through an open, adaptive mathematics learning platform that supports tens of thousands of students across Germany.
 

The Challenge

Self-regulated learning is essential for developing lifelong learning skills, critical thinking, and academic resilience. In mathematics, self-regulation skills are particularly important: For example, when learners work independently on tasks during self-directed learning phases without immediate support from the teacher.

Adaptive digital AI tools offer both opportunities and challenges for the development of self-regulation skills: on the one hand, they may undermine students’ ability to regulate their own learning by increasing dependence on algorithmic guidance; on the other hand, they may strengthen self-regulatory skills through personalized support. With respect to mathematics learning, AI tools create the opportunity to provide elaborated mathematical feedback, address learners’ specific misconceptions, and adapt tasks to their level of understanding and interests.

Against this background, a central question emerges: How much, and what kind of adaptive support do individual students need, compared to independent self-regulation, during different phases of mathematical learning?

Our Solution

We are developing an open mathematics platform with an AI tutor. In it, different forms of adaptive support and self-regulation are systematically varied and empirically tested in order to optimally promote mathematics learning and self-regulation.

 
 

 

 

 

 

 


Background

We are building an adaptive mathematics learning platform, based on MatheBattle (mathebattle.de, developed by Peter Sießegger), an established platform in Baden-Württemberg with >10 million exercises solved per year and nearly 100,000 active users. We are redeveloping MatheBattle as a modern, open-source application using the Growify Learning Platform, migrating existing users and integrating adaptive tutoring components. First, we will introduce an AI-based task editor for interactive learning content and add features that encourage learners to engage in self-regulated learning (e.g., goal setting, self-assessment). Next, we will integrate an evidence-based tutoring model that promotes self-regulated learning strategies. Finally, we will implement AI-driven knowledge tracing and adaptive learning pathways aligned with the US Common Core Standards (adapted to the German curriculum).