Which approach is best suited for promoting conceptual understanding of…

Concept: Young learners build genuine conceptual understanding of numbers when abstract ideas are first grounded in concrete, hands-on experience with physical objects and situations drawn from real life, before or alongside symbolic representation. This concrete-to-abstract progression helps a child construct the relationships between numbers rather than only memorising symbols or rules.

Application: Among the given options, using hands-on materials and real-life examples in lessons lets a student physically handle quantities and see numbers embedded in familiar situations, gradually linking these concrete experiences to the abstract number concept being taught.

Why the other approaches fall short:

• The worksheets-based approach (teaching numbers primarily through worksheets assigned for homework) keeps a student working with numerals and operations on paper, with no accompanying activity involving physical quantities.

• The textbook-definitions approach (teaching numbers primarily through the definitions stated in the textbook) gives a student a stated description of a number concept, with no activity in which that description is tested against a real quantity.

• The rote-memorisation approach (teaching numbers primarily through repeated recitation of multiplication tables) trains a student to recall number facts as a fixed sequence, with no activity that surfaces the relationships among the quantities being recited.

Cross-check: This is consistent with the NCERT National Curriculum Framework for the Foundational Stage, which calls for connecting number concepts to concrete objects and everyday life, and with mathematics-education research (e.g., the US Institute of Education Sciences' What Works Clearinghouse) showing that concrete and semi-concrete representations build durable mathematical understanding.

Result: For this reason, among the options offered, using hands-on materials and real-life examples is the approach that promotes conceptual understanding of numbers.