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OBSTACLES AND AIDS TO
PROBLEM SOLVING
MENTAL SETS, ENTRENCHMENT AND FIXATION
• Mental Set - a frame of mind involving an existing model for
representing a problem, a problem context, or a procedure for
problem solving.
• Another term for mental set is entrenchment. When problem solvers
have an entrenched mental set, they fixate on a strategy that
normally works well in solving many problems but that does not work
well in solving this particular problem. For ex., in the two-string
problem, you may fixate on strategies that involve moving yourself
toward the string, rather than moving the string toward you.
• Luchin’s water jar problem (1942)
• Problems 1-6 continue to use B-A-2C instead of simple solutions
• Control participants – only 1 to 5% failed to apply simpler solutions
Functional fixedness is the inability to realize that something known to
have a particular use may also be used for performing other functions
(German & Barrett, 2005; Rakoczy et al., 2009). Functional fixedness
prevents us from solving new problems by using old tools in novel
ways.
Another type of mental set – Stereotypes (social cognition) are beliefs
that members of a social group tend more or less uniformly to have
particular types of characteristics.
Negative and Positive Transfer
Transfer is any carryover of knowledge or skills from one problem situation
to another (Detterman & Sternberg, 1993; Gentile, 2000).
Negative transfer occurs when solving an earlier problem makes it harder to
solve a later one. Sometimes an early problem gets an individual on a wrong
track. For example, when presented with a new tool, a person may operate it
in a way similar to the way in which he or she operated a tool with which he
or she was already familiar (Besnard & Cacitti, 2005).
Positive transfer occurs when the solution of an earlier problem makes it
easier to solve a new problem. That is, sometimes the transfer of a mental
set can be an aid to problem solving. For instance, one may transfer early
math skills, such as addition, to advanced math problems of the kinds found
in algebra or physics (Bassok & Holyoak, 1989; Chen & Daehler, 1989;
Campbell & Robert, 2008).

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Overcome Mental Sets and Transfer for Problem Solving

  • 1. OBSTACLES AND AIDS TO PROBLEM SOLVING
  • 2. MENTAL SETS, ENTRENCHMENT AND FIXATION • Mental Set - a frame of mind involving an existing model for representing a problem, a problem context, or a procedure for problem solving. • Another term for mental set is entrenchment. When problem solvers have an entrenched mental set, they fixate on a strategy that normally works well in solving many problems but that does not work well in solving this particular problem. For ex., in the two-string problem, you may fixate on strategies that involve moving yourself toward the string, rather than moving the string toward you.
  • 3. • Luchin’s water jar problem (1942) • Problems 1-6 continue to use B-A-2C instead of simple solutions • Control participants – only 1 to 5% failed to apply simpler solutions
  • 4. Functional fixedness is the inability to realize that something known to have a particular use may also be used for performing other functions (German & Barrett, 2005; Rakoczy et al., 2009). Functional fixedness prevents us from solving new problems by using old tools in novel ways. Another type of mental set – Stereotypes (social cognition) are beliefs that members of a social group tend more or less uniformly to have particular types of characteristics.
  • 5. Negative and Positive Transfer Transfer is any carryover of knowledge or skills from one problem situation to another (Detterman & Sternberg, 1993; Gentile, 2000). Negative transfer occurs when solving an earlier problem makes it harder to solve a later one. Sometimes an early problem gets an individual on a wrong track. For example, when presented with a new tool, a person may operate it in a way similar to the way in which he or she operated a tool with which he or she was already familiar (Besnard & Cacitti, 2005). Positive transfer occurs when the solution of an earlier problem makes it easier to solve a new problem. That is, sometimes the transfer of a mental set can be an aid to problem solving. For instance, one may transfer early math skills, such as addition, to advanced math problems of the kinds found in algebra or physics (Bassok & Holyoak, 1989; Chen & Daehler, 1989; Campbell & Robert, 2008).