The General term problem solving, means to solve problems. Problem solving generally makes up most of mathematics. The process of mathematics are the ways you can use skills creatively in new situations. Problem Solving is considered to be a mathematical process. It is to be found in the same branch of Mathematical Processes along that we associate with Logic and Reasoning, and Communication. This is the area of mathematics that enables us to use the skills in a wide variety of different situations. We need to explain the three words "method", "answer" and "solution" and how they're used to go about problem solving. By "method" we mean the means used to get an answer. This usually involve's utilizing one or more Problem Solving Strategies. The term "answer" is used to mean a number, quantity or some other entity that the problem is asking for. Finally, a "solution" is the entire process of solving a problem, including the method of obtaining an answer and the answer itself.
The general formula is as follows: method + answer = solution
Some of my favorite problem's to go about solving are Ordinary Differential equation problem's: A differential equation is defined as a mathematical equation that relates some function with it's derivatives. The functions usually represent physical quantities, while the derivatives represent their rates of change, and the equation usually defines a relationship between the two.
Below is worksheet with a few examples of ODE's as well as the solutions: