Problem solving Essay

Problem answer refers to the adjoin of tackling a problem to try and cypher it. In mathematics problem solving makes use of mathematical processes which modify pupils to develop new insights, and sometimes new procedures. It involves exploration, discovery and analysis. Problem solving begins with a task which the pupils understand and atomic number 18 get outing to engage in, exclusively for which they have no immediate solution. It is associated with developing and learning ways to accept and cypher problems. According to Broomes, Cumberbatch, James and Petty (1995) problem solving should no longer be viewed as an activity in which pupils engage later they have acquired certain mathematical concepts and skills. Problem solving should be viewed both as means of acquiring new mathematical knowledge and as a process for applying what has been previously learned.George Polya has also propose a four-step process for problem solving. These four steps are understand the problem, devise a strategy/ protrude for solving the problem, carry out the strategy/ send off and check for results or look back and check. These four steps are important in answering to do problem solving. The first ramification of Polyas problem solving is understanding the problem. In order for the students to work out a problem in a mathematics classroom they moldiness first understand the problem or understand what they are asked to arise or do. The problem must be read carefully whence analyzed. Polya taught teachers to ask students questions such asDo you understand any the course used in stating the problem?What are you asked to do or maneuver? cornerstone you restate the problem in your own words?Can you think of a picture or diagram that might help you understand the problem?Is there enough information to enable you to nd a solution?Polyas Second tenet Devise a planPolya mentions that there are many reasonable ways to solve problems. The skill at choosing an appropriate strategy is best learned by solving many problems. You will nd choosing a strategy increasingly easy.A partial list of strategies is included Guess and check shade for a patternMake an orderly list Draw a pictureEliminate possibilities clear up a simpler problemUse equipoise Use a modelConsider special cases Work rearwardsUse direct reasoning Use a formulaSolve an equation Be ingenious1Polyas Third Principle harbour out the planThis step is usually easier than devising the plan. In general, all you need is care and patience, given that you have the necessary skills. Persist with the plan that you have chosen. If it continues not to work discard it and choose another. Dont be misled, this is how mathematics is done, even by professionals.Polyas Fourth Principle Look backPolya mentions that much can be gained by winning the time to reflect and look back at what you have done, what worked, and what didnt. Doing this will enable you to predict what strategy to use to solve future problems. So starting on the next page, here is a summary, in the pros own words, on strategies for attacking problems in mathematics class.This is interpreted from the book, How To Solve It, by George Polya, 2nd ed., Princeton University Press, 1957,