Archive for April, 2008

Principles of Learning (Mathematics)

Monday, April 28th, 2008

Learning?  Yes, a simple word, but the implication is far-reaching than the word itself.  Before we start learning anything useful, we need to question ourselves over its purpose. If the answer to it is sufficient enough for you to strike on, you are in the correct path to a better future. However, what is ...

Analysis of Maths Error

Friday, April 25th, 2008

Making mistakes during maths learning is a common step to mastery of its concept. This is possible, provided the learners pick up the error made and understand them through detailed analysis. I came across an error that puzzled me for quite some time. The error made:      Inverting y = 2x + (1/x)  became ...

Linear | Angular Speed

Thursday, April 24th, 2008

Speed has two definitions: Linear Angular Linear speed is defined as the distance travelled for a given time. Angular speed is defined as the angle covered for a given time. Are they proportional ? Or are they related in any sense? Let us take 2 pendulums hung on a slim rotating rod for analysis. If the 2 pendulums (A and ...

How To Estimate Numerical Answer

Monday, April 21st, 2008

Estimation in maths is not just about rounding up or down numbers. It called for logically thinking and is done on a case-by-case basis. Take for example,  302 x 11. What is the estimated product of the 2 numbers? We can choose for it to be 300 x 10, which gives 3000. But how about ...

Volume and Surface Area | Geometrical Relationship ?

Saturday, April 19th, 2008

Using geometry, we can determine the volume and surface area of any object. However, have you wondered what is the relationship between them? If we want to maintain the volume of an box but reduce its surface area, is it possible? Or does the volume ALWAYS increases with increase in its surface area? How ...

Simple Flipping of Math Terms

Wednesday, April 16th, 2008

Math equations are interesting. They are more so when used in algebra for checking of understanding. Many weird answers can come out when done wrongly. Look at an example of changing numerator to denominator of terms in an equation. Example:  Express y in terms of x for the equation   (1 / y)  = 5 ...