AI-Assisted Learning: Experiments with Mathematical Concepts

Exploring how AI can enhance mathematical learning and understanding. Through interactive visualizations and adaptive explanations, we’re discovering new ways to make complex mathematical concepts more accessible and intuitive.

The Challenge

Mathematics education often struggles with making abstract concepts tangible. Students can memorize formulas and procedures, but true understanding requires connecting concepts to intuition and real-world applications.

Consider the Pythagorean theorem:

AI as a Learning Partner

Modern AI systems can serve as personalized tutors, adapting explanations to individual learning styles. They can:

• Generate multiple explanations for the same concept
• Create interactive visualizations on demand
• Provide step-by-step guidance with context-aware hints
• Adapt difficulty based on understanding

Here’s a simple example of how we can visualize mathematical relationships:

Our Experiments

We’ve been exploring how AI can assist in mathematical learning through:

1. Interactive Explanations: AI-generated explanations that adapt to questions
2. Visualization Generation: Creating diagrams and graphs to illustrate concepts
3. Problem-Solving Guidance: Breaking down complex problems into manageable steps

Here’s some code we use for visualization:

function calculateDistance(point1: Point, point2: Point): number {
  const dx = point2.x - point1.x;
  const dy = point2.y - point1.y;
  return Math.sqrt(dx * dx + dy * dy);
}

The Future

As AI capabilities continue to improve, we see enormous potential for personalized, adaptive learning experiences that make mathematics more accessible to everyone.

Projects

Check out our work on mathematical visualization in projects like Numinum and katex-skia.