Which of the following is an effective method to enhance problem-solving…

Problem-solving skill, in cognitive-development and constructivist pedagogy, is built through active engagement: exploring open-ended situations, generating hypotheses, and testing intuitive guesses through trial and error, not through passively receiving facts or finished answers. A child internalises a problem-solving process only by practising the mental moves the process itself requires.

Giving children opportunities to brainstorm and make intuitive guesses places the child in an active role: brainstorming generates multiple candidate approaches, and intuitive guessing lets the child test and revise hypotheses -- exactly the moves through which problem-solving skill is built.

• Discouraging independent thinking and focusing on declarative knowledge trains rote factual recall, which is the opposite of the exploratory reasoning problem-solving needs.

• Encouraging children to avoid difficult problems removes the very practice opportunities through which problem-solving ability is built, so it weakens the skill instead of strengthening it.

• Handing children ready-made solutions bypasses their own reasoning process entirely, so no problem-solving skill gets exercised or developed.

Brainstorming and intuitive guessing are active, exploratory practices, which is why giving children these opportunities enhances their problem-solving skills.