Use Polya's four-step problem-solving strategy to create a problem and provide a solution. Show each step and ensure that the following points are explained: Define a problem Determine what is...

Use Polya's four-step problem-solving strategy to create a problem and provide a solution. Show each step and ensure that the following points are explained:
  • Define a problem
  • Determine what is problem-solving
  • Identify types of problems
  • State the importance of teaching problem-solving
  • Determine the goals of a problem solving oriented curriculum
  • Identify factors affecting the development of problem-solving skills and implications for classroom instructions
  • Identify problem-solving strategies/approaches to problem-solving
  • Create different modes in which to present problems
  • Integrate problem-solving across the Mathematics curriculum

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It is an easily-recognizable problem when students question the reason for learning mathematics skills that they feel will not be used beyond the classroom, into their adult lives. Math teaches analytical skills and therefore allows teachers to build the crucial step of acquiring analytical skills into the school curriculum. Children accept that they must learn math far more readily than they would if a teacher sat them down and told them that they were about to start the process of learning analytical skills! 

To acquire analytical skills it is necessary to enhance cognitive learning. Organizing information logically, developing the memory, learning to reason and interpret and therefore solve problems, all guide a student to a better understanding of any problem, mathematical or otherwise. This is a major goal when building problem solving strategies into the school curriculum. 

Often, one of the most challenging difficulties is actually understanding a problem. It is difficult to devise problem-solving strategies when a person does not even understand the problem. Hence, something that sounds so simple and obvious - understanding the problem - needs to be clearly defined.

Different psychologists and child-development specialists devise different ways of enhancing the learning process. Jean Piaget has his four stages of cognitive development (which start in very young children) and George Polya developed his problem-solving model in about 1945. Piaget's model allows parents and carers to recognize and encourage early learning without any direct tools but rather developing pre-existing ideals. These then make the process easier for a school-going child to develop effectively.

Of course, there...

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mimi101 | Student

Technology in the teaching of Mathematics. Show how each is used as a teaching aid and the advantages and disadvantages of each

a)Calculators

b) Cameras