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International Journal of New Developments in Education, 2026, 8(3); doi: 10.25236/IJNDE.2026.080309.

Cultivating Senior High School Students' Mathematical Core Competencies Based on Thinking Visualization

Author(s)

Shuangshuang Li1, Jihui Wang1

Corresponding Author:
Jihui Wang
Affiliation(s)

1School of Mathematical Sciences, University of Jinan, Jinan, China

Abstract

Against the backdrop of the ongoing deepening of curriculum reform guided by core competencies, high school mathematics instruction urgently needs to break free from the entrenched limitation of “prioritizing knowledge transmission over the development of thinking skills”. As a new teaching approach, visual thinking instruction externalizes implicit thought processes, providing students with logical thinking paths guiding the natural development of their thinking. This study primarily explores strategies for applying thinking visualization in high school mathematics instruction and analyzes its impact on fostering students core mathematical competencies, with the aim of providing practical guidance for classroom teachers.

Keywords

Visualization Thinking; Core Mathematical Competencies; High School Mathematics

Cite This Paper

Shuangshuang Li, Jihui Wang. Cultivating Senior High School Students' Mathematical Core Competencies Based on Thinking Visualization. International Journal of New Developments in Education (2026), Vol. 8, Issue 3: 59-65. https://doi.org/10.25236/IJNDE.2026.080309.

References

[1] Ministry of Education of the People's Republic of China. (2020) Curriculum Standards for Senior High School Mathematics (2017 Edition, 2020 Revision) . Beijing: People's Education Press.

[2] Wu, L.S., Zhu, L. M. (2021) Core Competencies of Senior High School Mathematics: Generation Mechanism and Cultivation Paths. Journal of Mathematics Education, 4, 25-29.

[3] Liu, Z.Y. (2017) Visualization of thinking: Making learning truly happen. Contemporary Educator, 11, 69-71.

[4] Zhang, Z.Y. (2018) Visualization Teaching of Senior High School Mathematics: Principles, Approaches and Strategies—Based on GeoGebra Platform. Bulletin of Mathematics, 7, 21-24+28.

[5] Zhang, X.L. (2025) A Study on Thinking Visualization Teaching Strategies of Senior High School Mathematics under the Background of the New College Entrance Examination. College Entrance Examination, 18, 30-32.

[6] Tan, C. (2025) Construction and Practice of High-quality Review Lessons for Senior High School Mathematics under the Background of College Entrance Examination Reform. Reference for Middle School Teaching, 23, 32-35.