“Complex integrals and calculations have no meaning when used incorrectly or in irrelevant cases. In fact, certain calculations have no meaning if they are not effective in real time.“
– e² Young Engineers –
There is a great significance in the way a child succeeds in thinking by himself and from his own experience.
The following is a question from the PISA test, an OECD’s test conducted as part of an international research in education, which takes place every three years since 2000. The children are expected to translate theory to practice the tools they’ve acquired at school.
Question: You have bought a new house and decided to build a fence around the perimeter. How would you measure the length of the fence?
Most of the children studied well the exact formula to calculate the perimeter, and remember well the number Pai=π=3.14.
From that point The rest of the solution was easy.
However, some children who have studied in a more unconventional way used a rope and measured the perimeter length to prove themselves the formula and the number Pai=π=3.14.
The smarter kids of the first group where capable to solve the question with complicated formulas and integrals.
The second group who have studied in a more unconventional way used the same rope to calculate the right measurement and solved the problem in an experimental approach.
This is an efficient implementation of the tools acquired by the second group in their schools.
From the second group, which hales that practical method, only 20% had failed this question, while the first group failures’ rate was 80%.
We had brought you this example to show that complex integrals and calculations have no meaning when used incorrectly or in irrelevant cases. In fact, certain calculations have no meaning if they are not effective in real time.