The relation between problem categorization and problem solving among experts and novices

Area of Science:

• Cognitive Psychology
• Physics Education

Background:

• Problem-solving ability is crucial in classical mechanics.
• Understanding how individuals judge problem similarity informs teaching strategies.

Purpose of the Study:

• To investigate the relationship between problem-solving skills and the criteria used for judging problem similarity.
• To compare expert and novice approaches to problem similarity.

Main Methods:

• A similarity judgment task comparing experts and novices.
• Analysis of reasoning strategies employed by novices with varying levels of principle-based judgment.

Main Results:

• Experts prioritize deep structural features over surface features for similarity.
• Novices primarily use surface features but can utilize deep structures.
• Novices using principles show expert-like categorization and higher problem-solving scores.

Conclusions:

• Principles are fundamental to conceptual and procedural knowledge in effective problem solvers.
• Developing principle-based reasoning enhances problem-solving ability across all levels.