Which of the following is the most appropriate way to help a primary school learner visualize the equivalence between the fractions 32 and 64 ?

The correct option is Using Fraction Discs.

Explanation:

Primary school learners are in the concrete operational stage of cognitive development. They learn mathematical concepts best through visual, hands-on, and concrete manipulative tools rather than purely abstract numerical procedures.

To help a child visualize the equivalence between improper fractions such as:

32

and

64

Fraction Discs provide a clear visual and tactile representation:

1. Representing 32: Using whole circular discs divided into 2 equal parts (halves), 3 such half-pieces combine to form 1 whole disc and 1 half disc.

2. Representing 64: Using whole circular discs divided into 4 equal parts (quarters), 6 such quarter-pieces also combine to form 1 whole disc and 2 quarter-pieces (which together equal 1 half disc).

By placing 2 quarter-pieces directly over 1 half-piece, students can physically see and verify that both fractions represent the exact same total area/amount.

Why other options are less appropriate:

- Division method and LCM method are abstract mathematical procedures suitable for older students who have already mastered visual fraction concepts.

- Calculators output decimal values (e.g., 1.5) without helping young learners visually comprehend the underlying geometric concept of equal fraction parts.