Which of the following is most suitable for teaching children the concept of fractions ?

The correct answer is Cuisenaire rods.

Step-by-Step Explanation:

1. Understanding the Role of Cuisenaire Rods:
Cuisenaire rods are versatile mathematical learning aids consisting of rectangular rods of varying lengths and colors. Each color corresponds to a specific length (for instance, white = 1 unit, red = 2 units, green = 3 units, and so on up to orange = 10 units). Because these rods represent proportional continuous quantities, they are ideally suited for teaching fractions, part-to-whole relationships, equivalence, and arithmetic operations.

2. How Fractions are Taught Using Cuisenaire Rods:
Children can easily visualize a fraction by comparing smaller rods to a larger base rod (which represents the 'whole').
For example, if an orange rod (length 10) represents 1 whole, then two yellow rods (length 5 each) equal the orange rod. Therefore, each yellow rod represents:

$\frac{1}{2}$

Similarly, five red rods (length 2 each) equal the orange rod, showing that each red rod represents:

$\frac{1}{5}$

This hands-on visual representation makes abstract concepts of fractions intuitive for young learners.

3. Analysis of Other Options:

• Abacus: Used primarily for understanding place value, addition, and subtraction using counting beads.
• Geoboards: Best suited for teaching geometric concepts such as shapes, perimeter, area, and symmetry.
• Number charts: Helpful for understanding number patterns, counting, and sequence, but not as effective for continuous part-to-whole fraction modeling.

Conclusion:
Among the given choices, Cuisenaire rods are the most suitable manipulative for developing a conceptual understanding of fractions in children.