Problem-solving abilities can be facilitated by

The correct answer is encouraging use of analogies.

Explanation:

Problem-solving ability refers to a student's capacity to think critically, analyze a given situation, and apply appropriate techniques or logical strategies to arrive at an effective solution.

Using analogies involves transferring insights or structural similarities from a familiar, previously solved problem to a novel or unfamiliar task. By identifying key structural relationships between the known concept and the new situation, learners can creatively adapt strategies and overcome cognitive roadblocks, thereby facilitating deeper understanding and effective problem-solving skills.

Why other options are incorrect:

1. Focusing on drill and practice: While repetitive practice helps reinforce mechanical execution and rote memory, it often limits creative thinking and flexible problem-solving when applied to unfamiliar problems.

2. Encouraging fixed process of solving the problems: Encouraging a fixed process (functional fixedness or mental set) restricts adaptive thinking and prevents students from discovering alternative, more efficient ways to solve problems.

3. Generating fear among students: Fear increases cognitive stress and anxiety, which hinders higher-order cognitive functioning, memory retrieval, and problem-solving capacities.