ARTICLE
11 November 2026

Research on Teaching Practice of Advanced Mathematics Driven by Professional Integration and Process Evaluation

Yang Liu1 ,  Hairong Lian1*
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1 School of Science University of Geosciences (Beijing), Beijing 100083, China
IEF 2026 , 4(10), 87–92; https://doi.org/10.26689/IEF.v4i10.16086
© 2026 by the Author. Licensee: Bio-Byword Scientific Publishing Pty Ltd, Australia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
Abstract

Advanced mathematics is a fundamental core course for science and engineering disciplines, and its teaching quality directly affects students’ subsequent professional learning and innovation ability. Currently, there are common problems in teaching, such as abstract content, professional disconnection, and single evaluation. This leads to insufficient learning motivation and weak application ability among students. This study takes the advanced mathematics course of geological majors as the carrier and constructs a three-dimensional teaching system of “professional integration leading, logical thinking as the core, and process evaluation driving”: deeply integrating mathematical knowledge with the geological professional background, emphasizing logical explanations and guiding with original ideas; establishing a “monthly exam diagnosis-precise assistance-continuous tracking” process evaluation mechanism, conducting student situation analysis, weekly quizzes, and other targeted tutoring for students in the low-score segment. The research provides a feasible practical model for the teaching reform of advanced mathematics in geological colleges.

Keywords
Advanced mathematics
Professional integration
Process evaluation
Geology-related majors
Academic tracking
Funding
This research was supported by the Fundamental Research Funds for the Central Universities (Grant No.590126049) and Special Project for Postgraduate Education and Teaching Reform of China University of Geosciences (Beijing) under Grant No. JG2025008
References

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[2] Liu J, 2023, Research on Teaching Paths and Practices of All-round Education in “Advanced Mathematics” from the Perspective of First-class Curriculum Construction, Technology Wind, 2023(27): 23–25.

[3] Hohai University, 2025, How Mathematics Serves as an “Innovation Engine” for Talent Cultivation in Emerging Engineering Education, Guangming Daily, August, 5, 2025.

[4] Hu W, 2025, Practical Exploration on Teaching Reform of Advanced Mathematics Course, Journal of Anhui University of Technology (Social Sciences), 42(5): 57–58 + 61.

[5] Zhu Z, 2025, Teaching Innovation of Advanced Mathematics Classroom in Colleges and Universities in the New Era, Anhui Science and Technology News, May 30, 2025, 15.

[6] Wang X, Yang Y, Rong X, et al., 2025, Practice and Discussion on the Reform of Process Evaluation System for Medical Advanced Mathematics Course in the Digital Era, Journal of Mathematical Medicine, 38(6): 478–483.

[7] Tan J, 2026, Analysis on Teaching Reform of Advanced Mathematics Course for Science and Engineering Majors, Journal of Anhui University of Technology (Social Sciences), 43(2): 55–57.

[8] CPC Central Committee, State Council, 2020, Overall Plan for Deepening the Reform of Educational Evaluation in the New Era, 2020-10-13.

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