Definitions
Who defined problem-solving as “a set of events in which human beings use rules to achieve goals”?
Gagné
What is the first step in problem-solving?
Identifying & defining the problem
What is inductive reasoning?
Deriving general rules from specific examples
One merit of the problem-solving method?
Promotes critical thinking, initiative, deeper understanding
Problem-solving is only about finding the right answer
False – it’s about process & reasoning
What does Ausubel say problem-solving involves?
Concept formation & discovery
Which step involves forming a tentative idea/solution?
Formulating a hypothesis
What is deductive reasoning?
Applying general rules to particular cases
One demerit of the problem-solving method?
Time consuming, challenging for weaker students
Inductive reasoning moves from general to specific.
False
Define problem-solving in your own words.
systematic process to reach a goal
In the union of sets example, which step was calculating B ∪ C?
Testing / applying hypothesis
Which method breaks a problem into smaller parts?
Analytical
How does the Problem Solving Method develop independence?
Students plan, reason, and self-check
esting the hypothesis comes before forming it.
False
Why is problem-solving considered a skill, tool, and process?
It helps reach goals (tool), can be learned (skill), and involves steps (process)
Which step checks if the solution is correct?
Verifying / checking result
Which method combines solutions to form a whole?
Synthetic
Why might teachers avoid using this method too often?
It may reduce content coverage or be monotonous
A union of sets includes repeated elements.
False
Risk defined problem-solving as stimulating what kind of thinking?
Purposeful reflective thinking
List all 6 steps of the problem-solving method in order.
1. Identify & define, 2. Analyze, 3. Hypothesize, 4. Test, 5. Verify, 6. Conclude
Give one example of using inductive reasoning in math.
Observing 2,4,6 → numbers are even → generalizing all multiples of 2 are even
How does problem-solving promote lifelong learning?
Builds transferable thinking skills, confidence, adaptability
Problem-solving helps in real-life decision-making.
True