An Exploration of Competency Development Pathways in Double Integral Teaching Based on the OBE Concept 
Zhang Zhihui

The Tourism College of Changchun University, Changchun Jilin, 130607;

Abstract: A representative problem in upper-level Mathematics that can demonstrate all-round thinking is the double integral. Multivariable functions, planar regions, iterated integrals and their applications can all be included to foster students' spatial imagination, selection of methods and modelling skills. Although many students can perform basic calculations in their daily studies at present, they often find it difficult to draw integration regions, find the limits of integration, change the order of integration, or explain the practical significance of the results. The concept of Outcome-Based Education (OBE) offers a way to change the teaching model for double-integral calculus from content-centred to student-outcome-centred. Teachers can set learning objectives that focus on the concept, area, expression of calculation, selection method and application transfer in their classroom teaching. Classroom tasks, representative cases, error analysis and varied assessments can all be employed to help students develop stable mathematical abilities.

Keywords: OBE concept; double integral; Advanced Mathematics; competency development; classroom teaching

Reference

[1]Wang Jing, Zhang Hui, Zheng Lina. Research and Implementation of Objective Question Generation Based on Supportive Assessment: A Case Study of Double Integrals in Advanced Mathematics [J]. University Mathematics, 2025, 41(2): 56–61.

[2]Kong Xiangqiang. Constructing a Multi-dimensional Assessment System for University Mathematics Courses Based on the OBE Approach: A Case Study of the ‘Methods of Advanced Algebra’ Course [J]. Western Quality Education, 2025, 11(5): 37–40.

[3]Zhang Yu, Zhang Quan. Applications of Multiple Integrals in Advanced Mathematics [J]. Science and Technology Trends, 2025, (11): 96–98.

[4]Zhang, Qunli. A Study on the Double Product Decomposition Method under Polar Coordinate Transformation [J]. Journal of Heze University, 2024, 46(5): 16–21.

[5]Deng Mingxiang, Feng Yongping. A Discussion on Various Non-conventional Approaches to Solving a Double Integral Problem [J]. Research in Higher Mathematics, 2024, 27(2): 55–58.