A teacher asks the students in her mathematics class to give solution for the following two problems :
“The perimeter of an isosceles triangle is 30 cm. What will be the measurements of its all the three sides ?”
“The area of a triangle is what will be the measure of its base and height?”
The above problems are an example of :

Correct option is B

The given problems require students to think critically and explore multiple possible solutions, particularly for the first problem, where the dimensions of an isosceles triangle can vary depending on specific conditions. Similarly, in the second problem, students need to consider various combinations of base and height that satisfy the given area of the triangle.

Such questions are open-ended because they encourage exploration, reasoning, and justification of answers rather than a single correct response. This approach promotes higher-order thinking skills and mathematical creativity, which are integral to understanding and applying mathematical concepts effectively.

Information Booster:

1. Open-ended questions encourage students to explore and justify multiple solutions.
2. Such questions enhance critical thinking and problem-solving skills.
3. They are beneficial for assessing students' conceptual understanding.
4. Open-ended problems provide opportunities for collaborative discussions.
5. These types of questions often align with inquiry-based and constructivist teaching methods.
6. Students become active participants in the learning process rather than passive receivers of information.

Additional Information:

• Option (a): Open-ended questions allow multiple valid answers, encouraging flexibility and deeper engagement with mathematical concepts.
• Option (b): Close-ended questions have a specific correct answer, focusing more on computational accuracy rather than conceptual understanding.
• Option (c): Computational skills development involves precise calculations and practice but may not necessarily involve open-ended exploration.
• Option (d): Rote memorization focuses on repetitive learning of facts or formulas, which is less effective for conceptual understanding.