Concept:The National Curriculum Framework (2005) envisions mathematics education as a tool for developing every child’s ability to mathematize — that is, to think about real situations using mathematical language — and emphasizes that mathematics must be learned by all students as a life-long essential subject.
Explanation:NCF 2005 states that the main goal of mathematics education is to foster mathematization, not just computational skill.
It insists that mathematics should be taught in an enjoyable way so that children lose their fear and develop a positive attitude.
Since mathematical knowledge is required throughout life, every child must study mathematics as a compulsory subject.
Thus, the only premise that fully captures this inclusive, universal vision is that all students can learn mathematics and all students need to learn it.
Option A is too narrow (focus only on pass/fail).
Option B mentions career options, which is not the core vision.
Option D links excellence to competitive exams, which contradicts NCF’s emphasis on conceptual understanding for all.
Answer:Option C: All students can learn mathematics and that all student need to learn mathematics.