Learning arithmetic by playing the piano
In a way, this is similar to how some people improved their guitar skills by learning how to play the piano. Some people had been playing the guitar for years. A rudimentary understanding of piano has given me a new appreciation for the guitar fretboard. This is due to the piano keyboard having notes organized in a way that is easy to "see" and understand.
Learning philosophy, logic, and computer programming were important in teaching me mathematics. As well as having a method to grasp arithmetic that some people had never known in all of their school years. It raises the question of how many children are being held back by the intense concentration on teaching arithmetic in only one method instead of acknowledging that one approach just isn't right for a lot of youngsters.
Because it touches on a number of subjects, it's thought-provoking In order to be effective in the learning process, effective data visualization is especially valuable. As a result, combining sensory experiences boosts learning. For instance, in the case of the piano, one may observe and hear intervals on a scale.
Outside of primary school, tactile learning isn't emphasized nearly as much, and although it's true that there is no football in that setting, it's no less different than everywhere else. Learning how to think beyond the box and in innovative ways may be found in the study of art. Additionally, it makes use of the subconscious and encourages greater learning and communication.
This is because in most cases, all music college students will take piano lessons to meet the broad goal of "general education." Every instructor can use it as a starting point.
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Music and piano playing that a person can learn about (math related):
- Exponentials and logarithms
- Harmonic series
- Chaos theory
- Linear algebra
Some people pretty eager to find out where linear algebra and combinatorics fit in from the opposite way. A former mathematician (who completed a post-doc in mathematics before turning to computer) is interested in learning about music and trying to play the piano. There is a group action going on, but someone believes that one may conceive of a dihedral group operating on sets of triads or anything like that.
The combinatorics concept relates because doing research on different types of possible arrangements/compositions of different elements may be approached as a "combination of" problem for the different elements. Many options are available. Either way, I'm eager to know what the doctor was getting at. Someone haven't yet found a place for linear algebra in one's education, but it's intriguing to think about how it may connect.
Like you, someone too originally thought the same thing. Therefore, no one knows mathematics. That is quite possibly your point. But it becomes meaningless after that. Mathematicians aren't experts in everything, even those who work professionally.
It indicates that the author attended school in the US on their LinkedIn page. While I am not from the United States, my perception of American schools is in total contrast to the stereotype of the schools where kids are expected to "memorize arithmetic facts" or the schools where kids are identified for doing anything differently.
What I have observed is that with the workbooks I have come across, a great deal of effort has been put into making sure that kids comprehend the information without having to resort to memorizing.
Additionally, from my observations, students who show signs of independence of thought or potential are usually given a lot of support to pursue their goals within the educational system by being placed on accelerated pathways, being granted greater freedom to enroll in classes of higher grades, and so on.
Conversely, in some nations, grades have very strict frameworks, which require pupils to focus on grade-level discourse in school and limit kids' opportunities to explore interests outside of school.
Having the ability to break away from one's grade in school gives Europeans an advantage over many other countries.
This seems like a substantial variation, but someone doesn't believe this is representative of most other cases. One wouldn't say it ever felt like a difficulty for me to remember certain fundamental tables and typical algorithms. Only pre-calculus had a focus on trigonometry laws and connections to the unit circle. The calculus teacher was baffled the next year when we were unable to comprehend these concepts on an intuitive level. The error took an hour to fix. There's no great loss. Shrug.
Another term for “common core” is “algorithmic flexibility,” which is in use in most schools in the United States. When teaching students how to utilize several algorithms, a common practice is to push students to use all of the available algorithms and then marking incorrect answers if they did not employ the specific algorithm that was asked by a given question.
After moving to this new school system, we discovered that the students were learning their multiplication tables and were given 2-minute exams to verify they were not only learned, but also pushed out of their minds. My mother became furious because she knew I was brilliant in math, and she assumed that I was failing at it. So she made me do double-digit multiplication in my mind in front of my instructor on the parent-teacher day. This demonstrated to my teacher that I shouldn't be failing arithmetic.
There are conflicting sentiments as an adult, concerning this childhood memory. She used to tell her friends and other parents about this: She had me do it in front of my friends and parents my age. While eating my breakfast in the Perkins Restaurant, I clearly recall this moment. As a contrast to rote memory, this was just a technique that employed a wider “working memory” instead of just memorizing facts. It was still a question of “training a monkey,” but in a new sort of training process.
It has come up frequently My life is what I am. When I was in high school, I worked as a construction worker, and my employer treated me the same way. To help him measure things, I'd have to be his human calculator. When we were laying up the brackets for a projection screen in an octagonal space, this used to happen. I turned him down when he requested me to run some statistics for him. I completed this because I grasped what he was doing, but also saw that his technique was faulty. I stood firm and answered him with the correct answer rather than giving him the incorrect one even though it was the correct response to the numbers he provided. When he began talking down to me and trying to put me in my place, there was a huge argument.
It is widely accepted that intelligence and cognitive capabilities are practiced and developed. yet they are not just trained monkeys shifts A way of living well and bringing contentment into one's life. And for no other purpose is it ethical to squander something so valuable.