Author(s)

Yu Zhang ¹, Hongjun Dai ²

Affiliation(s)

¹ Hao Tou Middle School, Zhongshan, 528437, Guangdong, China
² Faculty of Education, Yunnan Normal University, Kunming, 650500, Yunnan, China

Corresponding Author

Hongjun Dai

ABSTRACT

"One problem, one lesson" is a new problem-solving teaching paradigm in the era of mathematical literacy, which has unique value in focusing on mathematical contexts and constructing students' cognitive structures. Through the analysis of lesson cases on abstract function problem-solving instruction, the "one question, one lesson" teaching model is found to play a significant role in uncovering the essence of mathematics and supporting the construction of students' conceptual knowledge structures. The lesson cases take abstract functions as the core, introduce concepts by reviewing basic elementary functions, and use typical questions and various teaching methods to guide students to master the methods of abstract function problem-solving. The teaching process covers multiple links such as context introduction, example explanation, and summary to help students understand the connection between abstract functions and basic elementary functions, build a knowledge system, and enhance logical reasoning, abstract thinking and other abilities.

KEYWORDS

Abstract function, Problem-solving instruction, Instructional design, Teaching reflection, Properties of functions

CITE THIS PAPER

Yu Zhang, Hongjun Dai. One Question, One Lesson: Hit the Essence, Build a System—— A Teaching Example of Solving Problems with Abstract Functions. Curriculum and Teaching Methodology (2026). Vol. 9, No. 3, 108-117. DOI: http://dx.doi.org/10.23977/curtm.2026.090314.

REFERENCES

[1] Yin Xiaorong. "One Question, One Lesson" for Efficient Review: A Case Study of Micro-Topic Review on Basic Properties of Abstract Functions [J]. Research on Problem-solving in Mathematics, Physics and Chemistry,2025,(3):2-4.
[2] Liu Yuantao. Construction and Practical Exploration of the "One Problem, One Lesson Variant Inquiry" Mathematics Teaching Model [J]. Science Examination Research,2026,33(3):2-7.
[3] Xiao Xiao. Exploration of Instructional Design of "one question, One Lesson" from the Perspective of literacy [J]. Middle School Mathematics Teaching Reference,2025,(5):52-55.
[4] Zi Yang. Application Status and Countermeasures of the "One question, One Lesson" Teaching Model in Junior High School Mathematics Review Classes under the Background of Core Literacy [D]. Southwest University,2024.

Sponsors, Associates, and Links

---

• Advances in Educational Technology and Psychology
  
  
• Transactions on Comparative Education
  
  
• Applied & Educational Psychology
  
  
• Advances in Vocational and Technical Education
  
  
• Adult and Higher Education