Learn Number Theory Through Computation
Number theory can be taught as a lab course, in the same way that chemistry and physics are customarily taught. Students attend lectures three hours a week, then meet on a fourth day in a computer-equipped lab. Our comprehensive lab manual and specialized software create an immersive learning experience where students develop both theoretical understanding and practical algorithmic skills.
Interactive Learning
Step-by-step algorithm demonstrations guide students through complex number theoretic computations, building understanding at each stage.
Pattern Discovery
Table generation programs help students identify mathematical patterns and develop intuition about number theoretic relationships.
Algorithm Focus
Software limited to algorithms students have studied ensures conceptual understanding comes first before computational power.
Why This Approach Works
🎯 Focused Learning
Algorithms are limited to those students have studied, so computers only handle the computational drudgery that students could theoretically do by hand.
👥 Step-by-Step Guidance
Demo programs walk students through algorithm execution one step at a time, building deep understanding of each process.
📈 Pattern Recognition
Table generation programs create numerical datasets where students can identify mathematical patterns and develop insights.
Flexible Implementation
These materials were developed for use with the NZM text but can be adapted for other textbooks or used independently. While our custom programs offer unique pedagogical advantages, instructors can also integrate modern tools for enhanced functionality.
Python
Modern, readable syntax
SageMath
Number theory focused
Maple
Symbolic computation
Mathematica
Professional tools
C++
High performance
Our Tools
Pedagogically designed
Ready to Transform Your Number Theory Course?
Join educators worldwide who are using computational labs to enhance student understanding