You’re not bad at math: What I learned after 7500 hours of studying math

Han Zhango
17 Feb 202408:29

Summary

TLDRThe video takes a motivational approach to math, claiming IQ and 'being smart' are not reliable determinants for success. Anyone can improve in math through persistence, obsessiveness, and deeper understanding of concepts and logic. The creator shares how over 7,500 hours of studying math, she realized that struggling does not equate to stupidity; we must acknowledge confusion in order to address gaps in comprehension. She explains tangible personal benefits of pursuing math including mobility, future opportunities, salary, and improved logic. Overall, the video aims to encourage students to embrace the lifelong, problem-solving benefits of deeper math study.

Takeaways

  • 😊 You can catch up and excel in math even if you're currently struggling
  • 😎 IQ and "being smart" are not accurate determinants of math performance
  • 🔥 Becoming obsessive about understanding every question is key to success
  • 😣 It's normal to find math confusing if you're missing foundational knowledge
  • ❓ Asking good questions is critical to overcoming confusion
  • 😥 Struggling with math is common, don't beat yourself up
  • 🤓 Math builds valuable logic and problem solving skills
  • 😏 Studying math can make you look smart
  • 💰 Strong math skills open up high-paying career opportunities
  • 💡 Math is an essential foundation for logical thinking

Q & A

  • What does the speaker say is the reason why some students find math difficult?

    -The speaker says students find math difficult because math builds on previous foundations that students may have forgotten or not properly learned. Without that base knowledge, the logic in more advanced math does not make sense.

  • What does the speaker recommend doing when you are confused about a math concept?

    -The speaker recommends identifying exactly which step you are confused on and figuring out what base knowledge you are missing that is causing your confusion. She recommends Googling specifics or asking someone for help.

  • What is the speaker's advice for overcoming struggles with math?

    -The speaker advises not beating yourself up when you can't figure something out. She recommends taking deep breaths, calming down, and patiently trying to learn each step to see where you went wrong. She says to not let a question defeat you.

  • What does the speaker say is not a good reason to give up on a math question?

    -The speaker says you should not give up just because you think someone else is smarter than you or has stricter parents. She says most students have similar IQs and being smart is a scam.

  • What does the speaker say is the key to being good at math?

    -The speaker says being obsessive about understanding every step of every relevant math question is key. Good math students won't rest until they fully understand something.

  • How does the speaker say you can catch up in a math class?

    -The speaker says you can catch up and get an A in a math class within 2 weeks by relentlessly focusing on fully understanding all relevant homework and textbook questions.

  • What personal reasons does the speaker give for studying math?

    -The speaker studied math to look smart, for higher salary potential, and to build logic/problem-solving skills.

  • What happened when the speaker was studying for an exam?

    -The speaker cried at 2am in the library because she couldn't understand an important question, but eventually calmed herself and kept trying.

  • What advice does the speaker have around asking questions?

    -The speaker advises asking very specific rather than generic questions, even providing examples of good questions to ask. She says don't let fear of looking stupid stop you.

  • What does the speaker say math has changed about her life?

    -The speaker says studying math has changed her life by improving her problem-solving abilities and logical thinking, which are now huge parts of her personality.

Outlines

00:00

😊 Overcoming struggles with math through perseverance and asking questions

The first paragraph discusses the author's personal journey with math. She initially hated it but through 7,500 hours of diligent studying, she gained an appreciation and cracked difficult problems. She emphasizes actively trying to understand every relevant question through an obsessive mindset. The author then plugs an online therapy sponsor to help with math struggles.

05:02

😤 Using math to open up opportunities and develop logical thinking

The second paragraph advises not to beat oneself up over struggles with math. The author shares an example of crying before an exam but persevering anyway. She then discusses motivations for learning math, like wanting to appear smart, accessing more career opportunities, and developing foundational logical thinking skills. The author concludes that studying math has changed her life.

Mindmap

Keywords

💡math

Math is one of the core themes of the video. The speaker discusses her personal journey with studying math, including initially disliking it as a kid, struggling with it at times, majoring in it college, and ultimately learning to understand and appreciate it. She argues that math IQ and being naturally gifted at math are not as important as obsessively working hard at understanding math concepts.

💡questions

The speaker emphasizes the importance of deeply focusing on understanding every relevant math question encountered. She advises not accepting not knowing how to solve a question and explains this obsession with getting to the bottom of questions is a trait of good math students.

💡understand

A key piece of advice from the speaker is to not stop working on a math question until you completely understand it at every step. She describes the good feeling when you finally figure out and understand a difficult math concept.

💡logic

The speaker discusses how studying math has helped her develop logic and problem solving skills. Math builds critical thinking through its logical frameworks.

💡opportunity

The speaker cites increased career opportunities and earning potential as one reason she chose to major in math. Quantitative and logic skills from math prepare students for high-income jobs.

💡ask

The speaker encourages students to ask lots of specific questions when struggling with math concepts. Asking questions and getting personalized explanations is key for clarifying confusion.

💡patient

When facing difficulty, the speaker advocates being patient and calmly trying to learn step-by-step rather than getting overly frustrated.

💡smart

The speaker shares that one reason she pursued math was a desire to be treated as smart and competent after previously feeling underestimated. Math skills are often equated with intelligence.

💡struggling

The speaker normalizes struggling with math questions and concepts, even for advanced students. Patience and breaking problems down is key when struggling.

💡satisfaction

Solving a difficult math problem brings immense satisfaction, according to the speaker. The feeling of finally understanding something challenging is very rewarding.

Highlights

I have personally done this so many times of catching up and getting an A in math in just 2 weeks

I think IQ and being smart are just a scam; most people have very similar IQs

The people who are good at math are extremely obsessive about math questions

From now on, you need to understand every relevant question and be able to answer it independently

When you're confused, target the exact step and find out what you're missing or confused about

Don't let the fear of looking stupid stop you from asking questions

When asking questions, be as specific as possible about what you understand and don't understand

Framing specific questions also helps you understand the logic better

Don't beat yourself up when you can't figure something out; be patient and keep trying

I wanted to look smart and be treated like I was smart

Math skills lead to higher salaries and more career opportunities

Math is the foundation of logic and a lifelong skill

Studying math, especially problem solving, has changed my life

Target the exact step you are confused about and find out what you are missing

Ask specific questions about what you understand and what you don't

Transcripts

play00:00

I hated math when I was a kid but after

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a lot of studying

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[Music]

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math sometimes I get cocky because I

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finally cracked the problem sometimes I

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cry because I just couldn't understand

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the theorem I went to Columbia

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University and majored in math and

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operations research so after

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7,500 hours of studying math here's what

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I

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learned so I watched this video and the

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professor talking about how if you're

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currently filing behind or you're

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struggling in your math class he says

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that you can catch up and be at the top

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of your class or getting an A in Just 2

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weeks and I believe him because I have

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personally done this so many times I

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think IQ and being smart are just a scam

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so our IQs follow a normal distribution

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which means that most people have very

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similar IQs and that little IQ

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difference is not going to determine our

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performance at the high school or

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college level the people who have

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extremely high IQs are very rare and are

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probably not going to be in your class

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they're probably already in some genius

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or gifted to school so you may think

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jich chin from your math class is way

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smarter than you but he is not he

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probably just has more strict parents

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than

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you so all the people that I know are

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good at math are extremely obsessive

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about math questions they won't feel

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comfortable if they don't understand

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something or they cannot figure out

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something it's like a ear warm in their

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head but the earworm is Whispering about

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numbers so I have this friend who's

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doing a PhD in math she won't be able to

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talk or think about anything else if she

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is working on some MTH questions in her

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head personally I'm not as Extreme as

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her maybe that's why I'm not doing a PhD

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in math but I love the feeling of trying

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to understand something and the

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satisfaction of finally cracked it and

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finally figuring it out so from now on

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every question you see you need to get

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to the bottom of it from now on you just

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won't accept that you don't know how to

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do a question or you don't understand a

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question that's just not an option of

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course the questions should be related

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to your class or content you're

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currently studying it can be questions

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from your homework your exam or

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textbooks while there's no reason to

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study some random super advanced math

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questions that you see online so every

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single question that is relevant to you

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and you already started working on it

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you need to understand how it works at

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every single step and make sure that you

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can answer the question yourself

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independently if there is another

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question that's exactly the same but

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different numbers you should also be

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able to do

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that so sometimes we felt math was so

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hard and felt like it didn't make any

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sense how come it jumps from one step to

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the other and in class sometimes we just

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feel like what is the teacher talking

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about I'm just so lost how come everyone

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else else seems like they get it and

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first of all that is very common and I

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still experience that all the time when

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you have those feelings it doesn't mean

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you're stupid or anything like that the

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reason for that is all the math you're

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learning right now is built on some

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foundations that were taught before and

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you probably forgot about it or just

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didn't learn it simple example for

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questions 7 * 8 - 5 * 3 the answer shows

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it equal to 56 - 15 = to 41 but in order

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to get that you actually need to know

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the order of operations which is

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multiplication and division come before

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addition and subtraction then you will

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also need to know 7 * 8 equals to 56 and

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5 * 3 = to 15 for someone who doesn't

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know or forget any of those three things

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this explanation just doesn't make sense

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so when you're confused about something

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Target which exact step and find out

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what are the things that you're missing

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or confused about you can either just

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Google that or ask someone I want to

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take a moment to thank the sponsor of

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this video better help I have been

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having online therapy with better help

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for about 4 months now and it has been

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really really helpful because it gives

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me so many tools to just live my life

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better for example I kept

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procrastinating on a recent project and

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I didn't know why so I started to beat

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myself up and wonder why I was so lazy

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and unproductive and my therapist helped

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me realize that my resistance to this

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project came from feeling in a similar

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project before and by acknowledging this

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I understood why I was struggling so

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much and started working immediately if

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you are having a tough relationship with

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math therapy can help you overcome it if

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you are a student under lots of stress

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or if you're dealing with mental health

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issues such as depression and anxiety

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you can get help through better help in

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just 48 hours in most cases to get

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started with better help you fill out a

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questionnaire and they will match you

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with a license the therapist based on

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your specific needs if the therapist you

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initially matched with does not feel

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like the right fit you can easily switch

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to a new therapist I personally changed

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my therapist twice before I found the

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right one so if you think you might

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benefit from therapy I highly recommend

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betterhelp click the link in the

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description or visit betterhelp.com hun

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jungo to get 10% off of your first month

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of better

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help and ask questions don't be afraid

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to ask questions don't let the fear of

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looking stupid holding your back I

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guarantee you most people would love to

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help you okay if occasionally someone

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doesn't want to answer your question or

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the way they explain it is simply just

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not for you just to try a different

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person and when you ask questions try to

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be as specific as possible it's going to

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be very hard for them to help you if you

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just ask a very general or generic

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questions like oh I don't know how to do

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this question or like I'm just confused

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I don't know what's going on start with

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the things that you already understand

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say like I understand here but this step

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I don't understand why it turned into

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this or say something like Oh I thought

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it was something something but I don't

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understand why is the answer shows this

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this way you will get exactly what you

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needed and help the people to help you

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and just the process of framing a

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question is also very helpful for you to

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understand the logic

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[Music]

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better math is hard don't beat yourself

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up when you can figure something out

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just last year before my modern analysis

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exam I was crying in the library at 2:00

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a.m. because I just couldn't understand

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a very important but heart question no

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matter what but after I cried I still

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have exam the next morning so I took a

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couple deep breaths and ComEd myself

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down I knew what I needed was to be

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patient and trying to learn each step

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and figure out where I went wrong

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because I told myself that I would never

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let some stupid question defeat me I am

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going to own their

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ass so let's talk a little bit more

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about what is a good reason to learn

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math and I also want to share a little

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bit about my personal motivations and

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why I chose to study math in college the

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first one is actually super shallow I

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just want to look smart I was done with

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people treating me like I was not smart

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and the second reason is more

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opportunity and higher salary so there

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are lots of high income skills are

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directly needed

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math and math is a very competitive

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Advantage as a very useful skill as it's

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transferable for a lot of things when I

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was a freshman I was interested in

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financial engineering and math was very

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important I didn't end up studying that

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but that's a story for another time and

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reason number three is that math is the

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foundation of logic and that's a

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lifelong skill I can comfortably say

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that studying math has has changed my

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life because I got so much from learning

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mess especially the problem solving

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skills and just being logical as huge

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part of my

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personality well thank you so much for

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watching I hope you had a wonderful day

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like And subscribe I will see you next

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time

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[Music]

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bye