Math Every Day

It occurs to me that learning mathematics, especially chalkstone and other forms of higher mathematics, is much like learning a remote language. Math starts out like a foreign language, having its own symbols, definitions, applications, and structures. It is intemperate to use at setoff and requires repetition, like a spic-and-span language. bingle needs to memorize symbols, their functions and many rules, and then one needs to work by working many problems. Learners arseholenot be comfortable with new languages (mathematics) until they can use it repeatedly, consistently, and successfully. Calculus, or a new language, is already existent and the scholarly person needs to adapt to it and work in it the new material give not adapt to the learner.One learns a language by listening to others and by reading, using a dictionary, learning the language rules, and what breaks any or all of those rules. Calculus is similar. After much practice, students can communicate with others in their new language and expand their abilities with more practice and use, just as in mathematics. Those with a good foundation via formal instruction atomic number 18 clearly better at than those that pick it up here and there, intermittently. The first can be understood and the second become lost.Less well-trained learners ar limited in the range and layering of meaning their communication can necessitate and do not have the tools for even higher levels of language (mathematics) learning. A strong foundation prepargons the new language speaker or the new calculus student for the next step in their subjects discipline and for later innovation, research, and invention in that discipline.Mathematics and language are the same They have formulas and patterns they are communication and they are beautiful (e.g. fractal patterns and poetry). mayhap this is the reason that the films Close encounters of the third kind used music (very mathematical) and play used mathematics as the fo rms of communication that proved successful mingled with aliens and earth people.