There is Only One Theorem in A-Level Calculus or Reverse A-Level Mathematics: A Pedagogical Toy Model of Reverse Mathematics

Key Points

• The paper highlights a unique theorem in the context of reverse mathematics and A-level calculus.
• Evidence shows that multiple theorems can be equivalent over a common base theory, emphasizing this concept's prevalence.
• The approach employs a toy model that serves as a pedagogical tool for introductory proof concepts in mathematics education at the university level and beyond with relatable material. The findings imply that understanding equivalence in theorems can enhance how students engage with mathematical concepts, opening pathways for deeper learning.