According to National Curriculum Framework 2005 mathematics teachers need to shift towards :

(a) Promoting memorization and rigorous algorithms

(b) Mathematical reasoning and logic

(c) Becoming sole authority for right answers

Choose the correct option :

The correct option is Only (b).

According to the National Curriculum Framework 2005 (NCF 2005), the main goal of mathematics education in schools is the mathematisation of the child's thought processes. This framework emphasizes moving away from traditional rote learning and procedural drills towards understanding, problem-solving, and logical reasoning.

Let us analyze each of the given statements:

(a) Promoting memorization and rigorous algorithms: NCF 2005 explicitly discourages rote memorization and mechanical adherence to algorithms. Instead, it advocates for conceptual clarity, discovery-based learning, and understanding the core principles behind mathematical procedures.

(b) Mathematical reasoning and logic: Mathematics education should foster critical thinking, problem-solving skills, pattern recognition, and logical deduction. Teachers are encouraged to create an environment where students engage in reasoning rather than merely following instructions.

(c) Becoming sole authority for right answers: The NCF 2005 envisions the teacher as a facilitator of learning rather than an absolute authority. Classrooms should be student-centered, encouraging learners to explore multiple methods to solve problems and participate actively in discussion.

Therefore, mathematics teachers need to shift towards (b) Mathematical reasoning and logic only.