According to National Curriculum Framework 2005, the higher aim of mathematics education is :

Correct option is C

The National Curriculum Framework 2005 (NCF 2005) emphasizes the importance of developing children's ability for mathematisation. Mathematisation is the process of representing real-world situations using mathematical concepts and techniques. It is a fundamental skill for problem-solving and critical thinking.
Option (a), To help students to understand mathematical concepts, is incorrect because understanding mathematical concepts is a prerequisite for mathematisation.
Option (b), To develop useful capabilities for employment, is incorrect because mathematics education should have a higher purpose than simply preparing students for the workforce.
Option (d), To formulate theorems and their proofs, is incorrect because formulating theorems and proofs is a more advanced skill that is not relevant for all students.
Therefore, the higher aim of mathematics education according to NCF 2005 is to develop children's ability for mathematisation. This means that mathematics education should focus on helping students to develop the skills they need to mathematise real-world situations.