Which of the following statements is NOT correct with regard to nature of mathematics ?

The correct option is: Primary level mathematics is concrete and does not require abstraction.

To understand why this statement is NOT correct, let us analyze the nature of mathematics, especially at the primary level:

1. Role of Abstraction in Primary Mathematics: Even though primary-grade mathematics uses concrete objects (like counters, beads, or blocks) to help young learners grasp foundational concepts, mathematics itself is inherently abstract. For instance, the number concept "3" is an abstract idea representing a quantity, regardless of whether it refers to 3 apples, 3 cars, or 3 dots. Therefore, claiming that primary mathematics "does not require abstraction" is incorrect; learners continually transition from concrete experiences to abstract mathematical symbols and thinking.

2. Hierarchical Nature: Mathematical concepts build sequentially on top of each other (e.g., addition leads to multiplication). Thus, mathematics is hierarchical in nature.

3. Argumentation and Logic: Reasoning, logical deduction, and argumentation skills are fundamental to constructing mathematical knowledge at all stages.

4. Special Vocabulary: Mathematics employs precise symbols, terms, and vocabulary (such as plus, minus, equal, product, sum) to communicate ideas unambiguously.

Hence, the statement claiming that primary mathematics does not require abstraction is incorrect, making it the correct choice for this question.