Friday, July 12, 2013

Activity 6.2

The videos discussed the process of problem solving from the perspective of a group approach and the viewpoint of instruction in the classroom.  The movie Apollo 13 illustrates a successful problem solving effort that took place after the memorable words by the Apollo 13 mission leader, “Houston we have a problem.”  The movie is based on the events that took place with the Apollo 13 mission to land on the moon for a third time in 1970.  When an explosion occurred on the space craft, the three astronauts are in jeopardy of dying if the scientists and engineers at NASA do not problem solve quickly and effectively. 

This represents an ill-defined problem that does not have an obvious solution.  The problems were recognized, and goals were clearly stated to the entire NASA team.  The goals were to keep the astronauts alive and return the space craft safely to Earth.  The scientists and engineers brainstormed ideas on how to solve this life or death problem.  It was critical that all available experts assisted in providing input based on their specialty area.  “When we approach a new situation, our knowledge based on prior experiences will influence our ability to define and represent the problem correctly” (Pretz, Naples, & Sternberg, 2003, p. 26).  The utilization of fractionation to break the problem into manageable parts resulted in scientists and engineers assigned to their areas of expertise.  There was frequent use of language (think/talk aloud) as information was transferred, discovered, and explained.  The use of prototypes was critical and illustrates the non-routine thinking that the team engaged in during problem solving.  The need for self-regulation occurred as the astronauts, engineers, and scientists endured stressful conditions and managed to maintain focus in order to accomplish the goal.  The process of questioning and searching for inconsistencies was engaged in as the attempt to build a prototype went through numerous iterations.  In addition, the social context played a pivotal role since the personalities involved in the solution were intelligent strong willed individuals that strived for success in everything they pursued.  James would state that the individual native reactions of emulation benefited the collective group.  “The spectacle of effort is what awakens and sustains our own effort” (James, 1899/2001, p. 27).  The individuals collaborated and pushed each other in a way that created an innovative, creative, and motivated environment.  James (1899/2001) stated, “genius is nothing but a power of sustained attention” (p. 51).  I think this quote by James reflects one of the main reasons for the success of the Apollo 13 team in the process of problem solving.

Looking at problem solving in the context of the classroom, Dan Meyer addressed how he revised his approach to teaching math.  He explained the difference between effective and ineffective ways to teach problem solving.  In most classrooms, the problems are well-defined and have straight forward solutions.  Meyer suggested that effective teaching involves engaging students in solving ill-defined problems where the solution is not obvious and causes the learner to think.  Teaching involves presenting the material in multiple ways that allow learners to make connections which in turn results in meaningful learning.  Meyer’s teaching philosophy may be best summarized with the following quote from James. “This principle of multiplying channels and varying associations and appeals is important, not only for teaching pupils to remember, but for teaching them to understand” (James, 1899/2001, p. 68).


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