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Explore problem-solving techniques such as algorithms and heuristics, as well as factors that impact their effectiveness, including problem representation, mental set, and functional fixedness.
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WHS AP Psychology Unit 7: Cognition Essential Task 7-2: Identify problem-solving techniques (algorithms and heuristics) as well as factors that influence their effectiveness (problem representation, mental set and functional fixedness).
Algorithms Heuristics Representativeness Heuristic Compensatory Models We are here Decision Making Techniques Problem Solving Techniques Availability Heuristic Unit 6: Cognition Obstacles to Problem Solving Obstacles to Decision Making Biological Factors Memory Acquisition and use of Language Information Processing Model Encoding Storage Retrieval Cultural Factors Cognitive Factors
Essential Task 7-2: Outline • Problem Solving Steps • Identify problem-solving techniques: • algorithms • Heuristics • Hill climbing • Sub-Goals • Working backwards • Means end analysis • Factors that influence their effectiveness • problem representation • mental set • functional fixedness • motivation
4 Problem Solving Steps • Define the Problem • Use that definition to decide what category a problem belongs to and then based on that • Select a solution strategy that would solve a problem in that category • Always evaluate progress toward goal
Possible Solution Strategies • Trial and error • Works best with limited number of choices • Information retrieval • Retrieve from memory information about how such a problem has been solved in the past • Algorithms • Step-by-step methods that guarantees a solution • Methodical, logical rules or procedures that guarantee solving a particular problem. • Math problems are an example of the type best solved using an algorithm • Heuristics • Rules of thumb that may help simplify a problem, but do not guarantee a solution. • They are quicker than algorithms
Algorithms Algorithms, which are very time consuming, exhaust all possibilities before arriving at a solution. Computers use algorithms. S P L O Y O C H Y G If we were to unscramble these letters to form a word using an algorithmic approach, we would face 907,208 possibilities.
Heuristics • In psychology, heuristics are simple, efficient rules, learned from experience, that people use to make decisions, come to judgments, and solve problems typically when facing complex problems or incomplete information.
Heuristics Heuristics make it easier for us to use simple principles to arrive at solutions to problems. S P L O Y O C H Y G P S L O Y O C H G Y S P L O Y O C H G Y P S Y C H O L O G Y Heuristic at work: Y’s usually go at the end of a word.
Hill climbing Move progressively closer to goal without moving backward Sub-goals Break large problem into smaller, more manageable ones, each of which is easier to solve than the whole problem Means-end analysis Aims to reduce the discrepancy between the current situation and the desired goal – subgoals not immediately in the solution direction are considered Working backward Work backward from the desired goal to the existing condition Heuristic Methods
Hill Climbing Heuristic • Move progressively closer to goal without moving backward
Sub-goals • Break large problem into smaller, more manageable ones, each of which is easier to solve than the whole problem
Means-end analysis • Aims to reduce the discrepancy between the current situation and the desired goal – subgoals not immediately in the solution direction are considered
Working backward • Work backward from the desired goal to the existing condition
Obstacles to Solving Problems • Motivation • Desire to solve a problem • Mental sets • Tendency to perceive and approach problems in certain ways • Functional fixedness • Tendency to see only a limited number of uses for an object
Motivation • If you don’t attempt to solve a problem you won’t.
Mental Set • “We can't solve problems by using the same kind of thinking we used when we created them.” Albert Einstein
Functional Fixedness • “I can only use it for this one thing!”