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“One does mathematics because one has to, and if it is appreciated, all the better!”

–Karen K. Uhlenbeck



It felt like a void that was difficult to replace.


As a consequence of such a flawed education system, the children will end up being bad at effectively using both their mother tongue and a foreign language that they assume they know well and, in due course, they will lose their cultural identity and fail to save their own languages from going extinct.


From the Introduction:

The loudest note sounded in all recent educational discussions is the call for more practical methods in presenting the fundamental subjects of study. It is claimed that language, science, and mathematics have been taught with too little reference to their utility in the vocations and in the ordinary affairs of life. The methods commonly employed in presenting mathematical subjects have been especially open to criticism. This is true even in some schools designed to give vocational training. Mathematical books of the kind traditional in the older schools have been continued in use in the newer and more practical schools. These books were written almost entirely from the point of view of the teacher of pure mathematics with little reference to concrete problems of life and' having no reference whatever to the actual problems of the drafting-room and the shop. As a natural consequence the class room work in mathematics, in many of our most practical schools, has failed to utilize the material afforded by the shops and science laboratories to fix the knowledge of mathematical principles by concrete illustration and by practice.


"In 1866, Kehoe published The Indian Club Exercise, a beautifully illustrated book which contained, in addition to an easy-to-follow system of exercise for both men and women, a series of physique studies showing the benefits of heavy club training."

If anyone is curious about the illustrations, the Internet Archive has the book:

https://archive.org/details/indianclubexerci00kehorich


ooh, this looks fun. If I had the space to safely do so, I'd try out some of these exercises.


Boy, you have a long way to go.

Master precalculus, with emphasis on conceptual understanding and computation. It's the base.

You may want to read There’s more to mathematics than rigour and proofs by Terry Tao.

https://terrytao.wordpress.com/career-advice/theres-more-to-...


They must have signed in to YouTube with their Google Account and you may be one of their Contacts. Just a wild guess.


An excerpt from the preface:

"We present to the lovers of Algebra a work of which a Russian translation appeared two years ago. The object of the celebrated author was to compose an Elementary Treatise, by which a beginner, without any other assistance, might make himself complete master of Algebra. The loss of sight had suggested the idea to him, and his activity of mind did not suffer him to defer the execution of it. For this purpose M. Euler pitched on a young man whom he had engaged as a servant on his departure from Berlin, sufficiently master of arithmetic, but in other respects without the least knowledge of mathematics. He had learned the trade of a tailor; and, with regard to his capacity, was not above mediocrity. This young man, however, has not only retained what his illustrious master taught and dictated to him, but in a short time was able to perform the most difficult algebraic calculations and to resolve with readiness whatever analytical questions were proposed to him."


Seems like a classic example of fly-by-night companies barely staying afloat on the highly dubious claims they make about their products or services. They don't value their customers. They say they do, but they just want their money.


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