Carrying BioMath education in a Leaky Bucket.

Area of Science:

• Applied Mathematics
• Biology Education
• Biomathematics

Background:

• Traditional math courses often lack real-world biological applications.
• Students need hands-on experience with mathematical modeling in biological contexts.
• Developing quantitative skills is crucial for modern biology students.

Purpose of the Study:

• To introduce a project-based mathematical lab, the Leaky Bucket Lab, into an Applied Mathematics in Biology course.
• To enable students to test physical laws (Torricelli's law) and develop alternative mathematical models for biological systems.
• To assess the pedagogical effectiveness of the Biology-Applied Math Instructional Model in fostering student cognition.

Main Methods:

• Implementation of the Leaky Bucket Lab focusing on fluid dynamics and mathematical modeling.
• Students parameterized and tested Torricelli's law using real-world data.
• Analysis of student-developed analytical approaches and classroom videography for pedagogical assessment.

Main Results:

• Students successfully parameterized Torricelli's law and developed alternative models for water drainage.
• The lab fostered creativity and confidence in applying biomathematical tools in data-driven scenarios.
• Classroom videography supported the effectiveness of the Biology-Applied Math Instructional Model in promoting high-level cognition.

Conclusions:

• The Leaky Bucket Lab is an effective tool for teaching applied biomathematics and modeling.
• The Biology-Applied Math Instructional Model enhances student engagement and cognitive development in quantitative biology.
• This project-based approach encourages innovative problem-solving and prepares students for data-driven biological research.