Oh, I really mean it. Teachers to children (and especially maths teachers) are essential for our society, and have one of the hardest job.
Focusing on proportions you can teach almost anything: from basic triangle geometry, including elements of what later they will know as 'trigonometry', to interest rates -even letting the best get the scent of 'compound interests'-, to areas & volumes to the notion of 'speed' as a ratio, to how to save money for the future... There is little more a normal 'literate' person needs to know, as I see it.
However, it takes quite an effort getting them to actually perform the computations. This is where 'good' -appealing- exercises and problems are required, and this is where the teacher's craftmanship comes into play. A good craftman will find the correct and 'fancyful' exercises, according to the class, the student, the time... You know, this is where the 'heroism' takes place.
Oh, I really mean it. Teachers to children (and especially maths teachers) are essential for our society, and have one of the hardest job.
Focusing on proportions you can teach almost anything: from basic triangle geometry, including elements of what later they will know as 'trigonometry', to interest rates -even letting the best get the scent of 'compound interests'-, to areas & volumes to the notion of 'speed' as a ratio, to how to save money for the future... There is little more a normal 'literate' person needs to know, as I see it.
However, it takes quite an effort getting them to actually perform the computations. This is where 'good' -appealing- exercises and problems are required, and this is where the teacher's craftmanship comes into play. A good craftman will find the correct and 'fancyful' exercises, according to the class, the student, the time... You know, this is where the 'heroism' takes place.
All the best.