Which of the following represents the most important capabilities of learners to be assessed in mathematics ?

(a) Ability to use abstractions to perceive relationships

(b) Ability to memorize all the formulae given in textbook

(c) Ability to apply mathematical concepts to solve problems related to daily life situations

(d) Ability to score full marks in mathematics

Choose the correct option.

The correct option is (a) and (c).

Explanation:

Evaluating mathematics learning focuses on assessing higher-order thinking, conceptual understanding, and practical application rather than rote learning or numerical scores.

Let us analyze the given statements:

Statement (a): Ability to use abstractions to perceive relationships
Mathematics is essentially a science of pattern, structure, and abstraction. Being able to visualize abstract concepts and see how different mathematical ideas connect to one another is a fundamental learning goal in mathematics assessment.

Statement (b): Ability to memorize all the formulae given in textbook
Memorization of formulas represents low-level cognitive learning (rote memorization). Modern mathematics pedagogy strongly discourages evaluating students solely on formula memory, emphasizing conceptual understanding instead.

Statement (c): Ability to apply mathematical concepts to solve problems related to daily life situations
One of the ultimate objectives of teaching mathematics is mathematical literacy—enabling students to apply logic, problem-solving techniques, and mathematical concepts to real-world context and daily life problems.

Statement (d): Ability to score full marks in mathematics
Scoring full marks is an outcome of examination performance and test-taking skills, not an intrinsic cognitive capability or a true measure of mathematical thinking and understanding.

Therefore, statements (a) and (c) represent the most critical capabilities of learners to be assessed in mathematics, making (a) and (c) the correct option choice.