Which of the following is not true about nature of mathematics ?

The correct answer is Mathematics at school level requires special aptitude in learners.

Explanation:

Mathematics is a basic tool subject that is essential for every individual in daily life. According to modern pedagogical principles and educational psychology, every child has the potential to learn basic school-level mathematics with proper guidance, instruction, and practice. It does not require any innate "special aptitude" or unique talent; interest, effort, and effective teaching methods are sufficient for learning mathematics at the school level. Therefore, stating that school-level mathematics requires special aptitude is incorrect (not true).

Let's analyze why the other options are true regarding the nature of mathematics:

1. Primary concepts in mathematics are abstract in nature: Mathematical concepts like numbers, shapes, and operations exist as logical abstractions in the mind before they are applied to concrete objects.

2. Mathematics is based on deductive reasoning: In mathematics, conclusions are derived logically from axioms, definitions, and already established theorems through deductive logic.

3. Mathematics is much more abstract and hierarchic than most of the other subjects: Concepts in mathematics build upon one another sequentially (hierarchical structure), where understanding advanced concepts depends directly on mastering foundational ones.