Which among the following is the best pedagogical way to teach mathematics?

Concept: Child-centred, constructivist pedagogy holds that effective teaching starts from what a learner already knows and can do, and then motivates the learner to extend that ability further. Teaching that is purely remedial (fixing only measured gaps or weaknesses) or purely uniform (one method for every learner) ignores this — motivation and individual differences are the two pillars of sound instructional design.

Application: Among the four choices, only "Motivate the learners to develop their existing capabilities" treats the learner's existing ability as the starting point and works to extend it — this is the strength-based, individualised approach that child-centred pedagogy recommends for teaching mathematics. The other three choices each violate one part of the concept above: a gap-only or weakness-only approach reduces teaching to deficiency-correction, while a single approach for every student ignores that learners differ in pace, prior knowledge and learning style.

• "Find the gaps and address only them" — reduces teaching to a diagnostic exercise that plugs only the specific gaps an assessment reveals, without building on what the learner already does well.

• "Find the weakness and teach only those parts" — restricts instruction to correcting an identified weak area, leaving the learner's stronger areas and overall engagement unaddressed.

• "Teach every student with the same approach" — a single, undifferentiated method overlooks that learners differ in pace, prior knowledge and preferred ways of grasping mathematical ideas.

Cross-check: This matches the officially accepted key for this pedagogy item, which has appeared in UPTET Paper 2 (2017 and again in 2021) — mathematics/science pedagogy questions on this exam consistently key the motivational, strength-based option as the best teaching practice, in line with the learner-centred approach recommended by the National Curriculum Framework.