Whether we are verifying our expenses after a shopping trip, checking a bank account or counting the days to somebody’s birthday, we are using mathematics: It is an intellectual tool that enables us to discipline our thoughts in a logical manner, to express them clearly and to reach a useful conclusion: However, it does not provide the ideas in the first place and without a subject to work on it is only like a hammer for driving nails into thin air. Unfortunately, mathematics is often unimaginatively taught without a subject to work on and so appears to be pointless which, in that context, it is.
It is a law of Nature that all effects must have a cause and a mathematical equation formula simply relates cause and effect. Our stone-age forebears knew, when pushing boulders that the harder they pushed the faster it went and the hotter they became. Yet, many years went by before Newton and Einstein formulated this knowledge in a usable form for the engineer to use and in many cases for scientists to identify the causes of certain, hitherto unexplained effects.
If you are or were a teacher of maths I ask them to be so kind as to give me your considered opinion of my comments on teaching mathematics? For those that feel that they can get along without maths, l would also like to read your opinion?