Design-Based Research on Generative Artificial Intelligence Empowering Mathematical Concept Understanding — Taking Definite Integral Content as an Example

Key Points

• This research aims to enhance understanding of definite integral concepts in vocational mathematics using generative AI.
• Employed design-based research methods over three iterative classroom sessions.
• Developed a controlled integration framework involving teacher guidance and interactive tasks.
• Established a minimum evidence chain based on concept understanding tests and classroom interaction data.
• Classroom dialogue shifted from checking answers to explanation and validation.
• Enabled more stable representation changes and verification actions.
• Promoted the construction of meaning, boundary discernment, and application of definite integral concepts while reducing risks of errors and non-compliance.