Mental math

Quote "how to multiply and 2 digit number by 11 "

Question: how did they find this out that it works? when did they start noticing a pattern in numbers with 11 and 12 and other large numbers?

comments: i found this really helpful because multiply large numbers has never been easy for me and i always have to write it out and do it the long way. the eleven one really is so easy i like this one a lot its a super easy pattern to remember and these little rules will help me to finish on timed test in college a lot faster when i dont have a calculator but what i really think is interesting is how people found out these work like who took the time to find these patterns.

Flow

Quote: " it is by being fully involved with every detail of our lives weather good or bad that we find happiness not by trying to look for it directly"

question: I have a hard time understanding the bad part in this quote because when i become fully involved with something bad that is happening in my like my mindset is very negative. i feel like it is smarter to be fully involved with the good so that the bad is almost non existent i wonder what is the happiness that can be found when you are fully involved with the bad?

comment: i agree when you are fully invested or involved with w/e you are doing you are much happier. i also agree that when we do something that is difficult and that really stretches out and works our minds we are much happier when we finish or complete w/e we are working on. I dont get any satisfaction when i do something that was really easy because it wasn't worth my time because it comes to easy.that is why people have to constantly challenge themselves and be competitive. when i finish the school week knowing that i had to work hard all week to finish everything that has to be done i am so happy when i have 2 days off. but when i dont really do anything all week the weekend is not as exciting.

Drive

Quote: "those who have an entity theory believe that intelligence is just an entity, it exists within us, in a finite supply that cannot increase. those who subscribe to an incremental theory take a different view. they believe that intelligence may very slightly from person to person it is ultimately something that with effort we can increase."

Questions/comment: i realize that we all have different views on what intelligent is, and if we can learn to mastery things but i wonder if are views change at different ages? for example when i was alittle kid i thought i could do anything because my parents told me i could if i put my mind to it. My mind was like a sponge i enjoyed learning i loved school everything was interesting and i always wanted to know more. Now that i have hit my teenage years my view on wanting to learn everything has changed sometimes i will see a math problem and think i cant do that. maybe this is my mind set and that is what is causing me to not excel in math? or is it my age? could it be that when you hit a certain age you begin to think in a entity theory way? i believe this would be an interesting study if you look at the theory's people believe in terms of age if you can find out something because i do believe it has something to do with age. at the same time i know from experience and from examples that you can achieve anything with a lot of hard work and the right mindset. this article reminds me of the book/ documentary "the secret."