AIME Mindset: The mental preparation you need to take the AMC 10 and AMC 12.

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  • Опубліковано 24 жов 2024

КОМЕНТАРІ • 68

  • @anweshapaul4796
    @anweshapaul4796 11 місяців тому +5

    Your videos help me so much! even though I'm watching this video three years later, I still think it was a real motivator. I only learned what the AMC10 was after I qualified for it in my school, and boy do I tell you I was stressed. I only had a week left, and now I only have 2 days. With the hours of practice I put in, I still didn't feel as if I was anywhere close to were I wanted to be, but your point about the "preparation vs. performance" really put my heart to rest. Thankyou so much!!

  • @krishshah3974
    @krishshah3974 4 роки тому +33

    I've noticed a lot with AMC and AIME geometry problems that usually what meets the eye or what comes to mind first (e.g. similarity/congruency/power of point/etc.) is usually what the problem requires and is usually a permutation of these different concepts. Additionally, I think the best way to experiment with geo problems is to actually draw stuff and do stuff lol because a lot of times, as you've mentioned, in your mind you're like "oh nah it ain't gonna work because blah blah blah" but then if you actually draw in your construction, stuff starts working. I've had moments where I've just stared at problems trying to think about everything in my head, opened the solution, and found the same ideas in the solution as I had thought of. Was wondering if other people have had the same experiences. Thanks! :>

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +11

      How did I miss this comment? Excellent thoughts. This happens/happened to me all the time. Sometimes when we can't see the full solution mentally, we sometimes don't start out of fear of time wasted. This must be changed to succeed. You have to go around a couple turns a lot of the time for the light at the end of the tunnel to show on the solution path. That path hidden behind the mental blocks we put up and the question makers designed into the problem.
      In addition many times our brains perceive the problem differently when we are looking at the mental constructs on paper than when we only see them in our mind. It triggers oftentimes things that could be tried built onto the original construct. Things unable to be seen until we look at it with our physical eyes instead of just our mental ones.

  • @joose4650
    @joose4650 3 роки тому +14

    I agree completely with the confident but not arrogant mindset. Too many times I make sillies because I feel like I have enough time so I go quickly, or I become too arrogant and go through the questions too quickly.

    • @TheBeautyofMath
      @TheBeautyofMath  3 роки тому +1

      Indeed. Have done it myself, I warn against it in the video because I am speaking from experience. It is a difficult boundary to walk along psychologically.

  • @armanbolouri9440
    @armanbolouri9440 4 роки тому +18

    I agree completely, I've been telling people that 60% of the test is problem solving and a massive 40% revolves around your mindset-with confidence, you can perform infinitely better, trust me from experience. Good video man!

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +1

      Thanks Arman! Did you take the AMC 10 or 12 this year?

    • @armanbolouri9440
      @armanbolouri9440 4 роки тому +1

      @@TheBeautyofMath yeah no problem! I took the 12, going for USAMO but we'll see what happens on AIME.
      Regardless of how well I do though, I'll ensure to make the most of the moment by sitting back and enjoying the problems, as I personally find their elegant solutions beautiful and fascinating-these type of problems are truly a rare gem in our blemished public education system, and I commend you as an educator for taking a step in the right direction in math by promoting problem solving as opposed to memorization, we need more teachers like you!

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +2

      I am grateful for the high praise Arman. I agree, I am not sure where public education went off the rails exactly or how to fix it at this point. But for students looking to discover the elegance in problem solving you talk about, it has become in general (there are still many good public school teachers) absolutely necessary to discover it from outside private enterprise or self discovery. I think the biggest influence on me was the company Art of Problem Solving. They have revolutionized problem solving and the appreciation of it for generations to come. I don't work for them, but maybe they will sponsor me some day.
      I am like you in true appreciation for these problems and their techniques. I wish you luck on the AIME and the B test in case you can get a slightly higher base AMC 10 score to perhaps lower the needed AIME score slightly and make your journey to the USAMO easier. It's inspiring as a teacher to know of students like you as well, it makes doing this work all the more worthwhile. If you make it to USAMO please comment back here as I am excited to hear!

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому

      @@SomeRandomGtaDude-zl3us excellent effing question. To be honest it's a combination of the two. It works just like athletics. Some people are born with the genetic makeup to have LeBron's build. Those people have an advantage over the ones who don't. LeBron puts in massive work on top of the foundation which he is built on to become an elite athlete the likes of which the rest cannot attain no matter the work put in. While we aren't all born with the IQ equivalent of LeBron's build, we can be in the same arena as him and compete close to his level through hard work.
      It's all about advantages and disadvantages. People with high IQ's have an advantage in some regards (a disadvantage in others, often hyper aware of their own flaws and shortcomings which can lead to depression). Let's say you have a scale of 0 to 1 in regards to IQ, with 0 being a painted rock, and 1 being Einstein. Also suppose a scale of 0 to 1 in regards to work invested to attain some intellectual achievement. 0 being an extremely lazy person and 1 being something like Kobe's work ethic. Let's say AIME qualification requires a product of the first scale times the second scale equal to 0.7 or higher. A person with a realtively high IQ like a 0.98 (top 2%) only needs approximately a 0.714 in the work effort scale to break that 0.7 barrier.
      Now flip it. What if they were only top 29% IQ but had a top 2% work ethic and effort scale score. They still qualify. It just took a lot more sacrifice to get there.
      Genetics aren't distributed equally. Some have advantages over others. It is what it is. The rest of us can put it hard work and even out achieve those with advantages.
      Does this answer your question?
      Certainly the IQ is going to have to be above a minimum threshold to qualify for AIME, in this example(which is pulled entirely from my mind) it would need to be in the top 30% of society which isn't even one standard deviation above the mean.

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому

      you are absolutely correct about it being changeable to an extent. But I don't think and I believe neither do you that it can be changed dramatically. This link talks about it without going too much in depth on the matter: www.livescience.com/36143-iq-change-time.html

  • @robomania5346
    @robomania5346 3 роки тому +5

    I wish I watched this earlier, your no sillies concept is my problem, I have been brushing aside sillies as if they are "no big deal." Tomorrow I will focus on getting the problems I know right, and will not worry about the ones I can't do.

  • @planck8181
    @planck8181 3 роки тому +5

    Love your points on "mindset"; it is as big as all the problem-solving. Thank you

  • @Andrea-fp2kj
    @Andrea-fp2kj 3 роки тому +7

    Hi sir! Just want to say that your videos helped me greatly to prepare mentally for the AMC12B. Its my first year of knowing the competition and I think I juked out on the 12A since I was too nervous and I didn't have the appropriate mindset. I found out about your videos just right in between the week from the AMC12A and B and it helped me correct my attitude for my second shot. I appreciate your videos alot. Thank you!

    • @TheBeautyofMath
      @TheBeautyofMath  3 роки тому +1

      That is awesome to here. I can't tell you how happy it makes me when the techniques I prescribe actually result in success through their implementation. I hope you qualified for AIME on the 12B and if so...congrats!

  • @lindzznth
    @lindzznth 4 роки тому +7

    Thanks for the lesson. I just sent your URL for this lesson to a friend of mine.

  • @farazmirza6048
    @farazmirza6048 3 роки тому +6

    You are extremely intelligent wow. I bet you could write a book about this or something, just like learning mindsets in general.

    • @TheBeautyofMath
      @TheBeautyofMath  3 роки тому

      You flatter me. Thank you for the compliment. Who knows...maybe some day a book will be written. None of us can know what the future holds. Glad you enjoyed it. Sorry for the sound issues. Some day I may remake this video just to capture the sound better. Back then my channel was new and I had yet to learn how to capture sound properly. I couldn't figure out what was causing the sound issue. It ended up being a subpar internal sound card. Once I got essentially an external one, it now sounds much better in my most recent videos.

  • @justanunverifieduser2075
    @justanunverifieduser2075 4 роки тому +7

    This is excellent! I also found out about this from AoPS, and it is very useful. I subscribed too!

  • @rakshithkarthik2332
    @rakshithkarthik2332 Рік тому +1

    Hello sir, I am taking the amc 10 this year. I just want to tell you your way of explaining solutions are easy to understand, which helped my with my preperation. Also, I am averaging 90-105 on the 2014-2016 amc 10s. I want to make AIME this year and the AMC is in 2 months. I am halfway through volume one and have done 2 intro books, CP and geometry. I am going to learn all the NT I can and do a lot of algebra practice problems and past tests? In 2 months, I think I have a good chance at making AIME. I just want to ask if I should expect to qualify based on what I am planning to do. If my plans are not accurate, can you give me advice on what to do the last two months before the AMC 10 and do you think I have a good chance in with the time I have?

  • @Channel-dp3wc
    @Channel-dp3wc 3 роки тому +2

    Thank you so much!

  • @dylie
    @dylie 4 роки тому +6

    i just took the 12a and did pretty poorly due to being nervous and making a lot of sillies. Im somewhat new to competition math but i have been practicing since the summer to get a better score on the 12. I can usually get like 100~ on practice tests but my mistakes on the real exam cause me to do drastically worse. any specific tips for my situation?

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +1

      Doing a lot of things today. But will try and respond with a decent thought out response a little later today.

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +7

      Ok have a minute now to think on this. Sometime in the near future after my mic sound issue is resolved I will make a video specifically about "sillies". For now...tbh it's going to be really hard to have an immediate solution. This is because the number one way to prevent sillies is experience solving problems. Experienced problem solvers have made every mistake in the book and are then hyper aware during the test to not make the same type of mistake twice. For example let's say a problem asks for "nonnegative" integers for solutions to a problem. Many of us have said to ourselves "nonnegative means positive" and then proceed to give an answer that forgot to take into account Zero which is not positive but is nonnegative. After our mistake we hit our forehead and say "omg I can't believe I did that...I will never make this mistake again". But for people who haven't solved many problems...they haven't made enough mistakes to learn from yet. As a result they are prone to being fooled by tricky wording on the test.
      But experience is gained over a long period of time. Usually several years of failed attempts at qualifying before finally qualifying. So bwtween now and test time there isn't time to do 20 years worth of AMC 10's and 12's and all of AoPS intro series. But that's ok. In the meantime all we can do is the best we can with what experience we have, it makes it harder, but not impossible.
      1. Read every question carefully. Take 10 more seconds to read emphasizing each qualitative word like "nonnegative" or "rational" or "relatively prime" etc.
      2. Underline those key words.
      3. At the end of a problem check work by plugging x or n back in.
      4. Ask yourself is the answer reasonable given what I know?
      5. Is there any other way it could be any other answer? Can I eliminate other answers to be more certain?
      6. Recheck calculations.
      7. The most important thing is probably to stay calm. Anxiety leads to errors. Remove the pressure of scoring well from your mind. Focus on enjoying the problem solving. Remain calm. Skip things you don't know how to start within 30 seconds to a minute. You can always return to it later after you exhaust known problems. The test is not a perfect linear increase in difficulty.
      I tried to think of all I could off the top of my head. I am sorry if it is not enough.
      Remember this above all, no matter what...trying is better than not trying. Failing to make AIME has no bearing on your future success in society or your value to the world. Yes it's nice and it feels good. Many successful STEM field workers making 6 figures a year do horrible in Competition Math. So don't judge yourself. In fact. Feel good. You stepped in the ring and tried. As an educator and coach, that is impressive in and of itself. That is more than 95% of general society will do who often give up before they start. So head high. Relax. Do your best. On the other side of it...just look back and enjoy the process and the knowledge and experience gained along the way.
      Good luck tomorrow! 🙂

    • @skifast_takechances
      @skifast_takechances 4 роки тому +3

      You can't always expect to do as well on the real contest as in practice, especially given that this was year's 12A was not an easy test. Last year, when I took the 10, the score I ended up getting was around 20 points lower than my typical score on practice tests due to nerves, sillies, and not realizing trivial tricks.
      Also, you have to aim high. I didn't even consider any problems from 20-25, but after the contest I took a genuine look at them and realized I could have easily solved 3 of them. If you do not aim this high, you're bound to make mistakes and not have the sufficient points to cover for it.

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому

      @@skifast_takechances excellent points.

  • @redauraforlife
    @redauraforlife 2 роки тому +1

    great video!

  • @brandonyan5838
    @brandonyan5838 4 роки тому +2

    can you link the tracking sheet in the description for this video?
    i can't find it in the other videos

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +1

      I actually put it now in both Descriptions on this video and the How to Prepare video. Thanks for the suggestion!

  • @elrichardo1337
    @elrichardo1337 3 роки тому +2

    will keep this in _mind_ (heh) on the 12B

    • @TheBeautyofMath
      @TheBeautyofMath  3 роки тому +2

      good one Richard. You must learn the ways of puns.

  • @Sleepyreader727
    @Sleepyreader727 4 роки тому +5

    I’m trying to prepare for the AMC 10/12 exam. If volume 1 is what we need to purchase and study for AMC 10, would we need to purchase and study volume 2 to succeed in the AMC 12? I am currently a sophomore and I don’t know if I am quite ready to qualify for the AIME this year, so I think I should just start studying for the AMC 12 for next year.

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +2

      Imo no. If you look at all of the problems in Volume 2, none of them are from AMC 10 or 12, or if they are it's like 1 or 2 in the whole book. I think it is useful for Mathematical enrichment and perhaps other contests. I didn't find it useful really for AMC. Still do Volume 1. You need the fundamentals of the AMC 10 as AMC 12 has much of the same content, just upgraded difficulty. But like 80% of the topics are the same. I forget what AMC 12 has that distinguishes it even.

    • @Sleepyreader727
      @Sleepyreader727 4 роки тому +1

      TheBeautyofMath Are there any other textbooks or material that I should study to prepare for AMC 12? I’m willing to put time into anything that will help me succeed. The reason I am so ignorant on this topic is because literally no one in my school’s history has ever taken this exam until I started the first math club last year.

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +1

      For sure. Have you seen this video yet? I recommend it. And then let me know if you need any further direction. Try not to skip around in it. A lot of important points and explanation.

    • @Sleepyreader727
      @Sleepyreader727 4 роки тому +1

      TheBeautyofMath Yes, I watched this whole video and your other two videos on how to prepare for the exam. I learned about the pocket note taking and different online resources, such as alcumus. Do you know of any other specific textbooks or preparation material that will help me succeed in the AMC, other than AOPS volume 1? Thank you for your time and consideration.

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +1

      I see. Well after Volume 1, you want to hit your weaknesses. For most people that's Number Theory and Probability. Do both intro books. They both start off easy...like the first 3 to 4 chapters are not hard...if you have to for those chapters...skip to the end and do review and challenge only. By midway it is all solid useful content.
      If you are good on both of those, I would do Intermediate Algebra next. As far as other resources, I am not really aware of anything that level of quality for prep. Before starting AMC 12's, do all AMC 10's from 2000 to 2020. Then do AMC 12's same years. Then past AIME's.

  • @falll7631
    @falll7631 3 роки тому +1

    thanks a lot! this mindset is aka 'chicken soup'

  • @liuselwyn3249
    @liuselwyn3249 4 роки тому +2

    One year preparation is enough for AIME right?

    • @TheBeautyofMath
      @TheBeautyofMath  4 роки тому +2

      It really depends on the person and how strong they are with a range of concepts coming in, and how fast they learn and retain knowledge. A very strong student can make AIME in 1 year time. But I would say only about 10 to 15% of students could qualify themselves as extremely strong students. Most students need more time to grow and mathematically mature.

    • @liuselwyn3249
      @liuselwyn3249 4 роки тому +2

      Thanks. @@TheBeautyofMath

  • @USAMO-tu6es
    @USAMO-tu6es 3 роки тому +2

    TheBeautyOfMath: *You flick the switches! You just flick them one at a time, and eventually one of them goes on.*
    Okay okay, I got this, I can do it, I must have the courage to flick these switches...
    *Sirens in distance*
    WHO PRESSED THE EMERGENCY BUTTON???

    • @TheBeautyofMath
      @TheBeautyofMath  3 роки тому +1

      Lol. Yeah. My previous film location was right by a fire department. So many videos got ruined and had to be refilmed because of that. This one was too epic and the flow too good for me to refilm it. Just had to love with it. Also...I never knew it was possible to type bold font in a YT comment. Sweet. Imma have to try that.

  • @Channel-dp3wc
    @Channel-dp3wc 3 роки тому +1

    Thanks!