Several insights from the authors' experience teaching higher-order logic using Isabelle can be applied to teaching formal reasoning in other proof assistants or logical frameworks.
Gradual Progression: Following a structured approach that starts with foundational concepts and gradually builds up to more complex topics can be beneficial in teaching formal reasoning in other proof assistants. By introducing concepts in a logical sequence, students can develop a solid understanding of the material.
Interactive Learning: Incorporating interactive exercises, sample proofs, and hands-on activities within the proof assistant can enhance student engagement and comprehension. Providing opportunities for students to practice formal reasoning in a guided environment can improve their skills and confidence.
Clear Explanations: Offering clear explanations of logical rules, axioms, and inference techniques is essential for effective teaching. Breaking down complex concepts into digestible parts and providing detailed examples can aid in student learning and retention.
Utilizing Automation: Leveraging the automation capabilities of proof assistants to assist students in theorem proving tasks can streamline the learning process. Integrating automated proof tactics and tools can help students validate their reasoning and gain insights into efficient proof strategies.
By applying these insights to teaching formal reasoning in other proof assistants or logical frameworks, educators can create engaging and effective learning experiences for students interested in logic and formal methods.