Which of the following is NOT true with respect to the learning of Mathematics ?

The correct option is Ability to perform and excel in Mathematics is innate.

Step-by-step Explanation:

1. Understanding the Concept of Mathematical Learning:
Mathematical ability is not a fixed, biological trait that a person is simply born with. Instead, performance in mathematics can be developed through effort, proper instruction, practice, effective learning strategies, and a supportive environment. Believing that math ability is purely innate promotes a "fixed mindset," which is a misconception that hinders student growth and learning outcomes.

2. Analyzing the Given Options:

• Option 1: "Ability to perform and excel in Mathematics is innate." - This statement is NOT true. Mathematical skills can be nurtured and enhanced by anyone with interest, practice, and proper guidance. Therefore, this is the correct choice for a statement that is false.

• Option 2: "Teachers' beliefs about learners have powerful impact on learning outcomes." - This statement is true. Teacher expectations significantly influence student confidence, motivation, and achievement (often referred to as the Pygmalion effect).

• Option 3: "Students' socio-economic background impacts their performance in Mathematics." - This statement is true. Access to educational resources, learning support, tutoring, and home environments influenced by socio-economic background can play a substantial role in a child's academic performance.

• Option 4: "School's language of instruction can impact a child's performance in Mathematics." - This statement is true. Language clarity, comprehension of mathematical terminology, and word problems directly rely on a student's grasp of the medium of instruction.

Conclusion:
Since the question asks to identify the statement that is NOT true, the assertion that mathematical ability is innate is the correct choice.