Approximation: An important concept

I am sure many of you are pretty amazed by the proof that we saw on the formula for surface area of sphere. This approximation approach proposed by the famous Mathematician Archimedes is simply ingenious. This concept of approximation or estimation has far-reaching application besides the surface area of a sphere. Approximation is used in  math, science, economics, finance and innumerable subject areas to solve problems. Consequently, it's a concept that can be applied in scientific research and problem-based learning to make the study of a complex problem simpler using simple process or model. Many of our real-life problems are solved through simplified models derived from approximation. One such famous model is the supply and demand model in economics, this model is so valuable in the study of both micro and macro economics! 







This is just one example that illustrates the usefulness of solving a problem using models. Essentially, solving problems through models is an important skill that students need to acquire in school to enable to solve problems efficiently. Also, It will be beneficial for students to see the applications of math. It is crucial that we do not reduced math into something that is impractical to the real world that we live in. To provide extension in learning is one way to stir the interest and motivation of students in the subject.  This opinion is an extension of what I have learn through a series of reflection. Enjoy and feel free to post your sentiments and views with regards to this post :) 


Cheers,


Wei Chuan (Matthias)