Study on the Influence of Multiple Derivation Method of General Term Formula of Series on Students' Logical Ability

This paper discusses the influence of multiple derivation method on students' logical reasoning ability. By comparing traditional derivation method with multivariate derivation method, this paper analyzes how the latter can improve students' flexibility and accuracy in solving problems through various strategies such as graphic method, induction method and recurrence method. The research shows that adopting multiple derivation method can strengthen students' logical reasoning ability, enhance the depth and creativity of students' mathematical thinking, and promote students' multi-angle thinking divergence when solving mathematical problems. This method helps students better understand the knowledge of number series, and exercises their rigorous logical thinking and the ability to solve practical problems. It opens up a new teaching idea and operation direction for mathematics teaching.