Advances in International Applied Mathematics

The new curriculum establishes geometric intuition and spatial conception as an important part of the core literacy in junior high school mathematics. In this context, the folding problem, as a classic content in geometry, has become the key examination direction of geometry in the middle school mathematics examination by virtue of its unique comprehensive characteristics. Based on the requirements of the curriculum standard, this paper systematically studies the nature of the folding problems in junior high school mathematics, and then scientifically classifies the common rectangular folding models in junior high school, including three basic types of the vertices falling on the edges of the graphs, the outside of the graphs and the inside of the graphs; finally, through the case of the real exam of the Wuxi, Jiangsu Province, in 2024, the problem solving strategy of integrating and applying the multi-knowledge is presented, which is aimed at improving the understanding of this type of problems by the readers. Finally, through the case of the 2024 Wuxi, Jiangsu, China, exam, a complete presentation of multi-knowledge integration and application of problem-solving strategies is presented, with the aim of enabling readers to improve their own core geometric literacy through the understanding of this type of problem.

Folding Model; Problem Solving strategy; Junior High School Mathematics