Sal Khan: Beyond Khan Academy | 3b1b Podcast #2

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  • Опубліковано 25 лис 2024

КОМЕНТАРІ • 301

  • @anishgokhale5389
    @anishgokhale5389 3 роки тому +450

    We all know that people get tricked into learning by the soothing voices of Sal and 3b1b😂😂

  • @BenHess02
    @BenHess02 3 роки тому +372

    The two voices of math. It's like two little pi characters talking to each other.

  • @DrTrefor
    @DrTrefor 3 роки тому +495

    This was a great conversation, thank you!!

    • @fritz6600
      @fritz6600 3 роки тому +17

      You're awesome, Dr. Bazett!!!

    • @yuvrajt
      @yuvrajt 3 роки тому +9

      Saw your content, instantly subscribed

    • @mohammadarshad8301
      @mohammadarshad8301 3 роки тому +14

      We would like to see you on this podcast.

    • @kingkory2
      @kingkory2 3 роки тому +3

      You have some great content, hope to see you on the podcast at some point

    • @Conorstew
      @Conorstew 3 роки тому +2

      Get This man on the podcast!!

  • @johnchessant3012
    @johnchessant3012 3 роки тому +543

    It's weird to hear Sal's voice just talking about stuff rather than explaining

  • @rainerwahnsinn3262
    @rainerwahnsinn3262 3 роки тому +134

    Sal: "I could be your father" (44:12)
    Grant: "Teenage pregnancies" (44:24)
    Well, that took an interesting turn!

  • @DangRenBo
    @DangRenBo 3 роки тому +60

    I'm a secondary math teacher. I often teach seventh to ninth graders, and I have a story I tell to all new classes about how I became a math teacher.
    In primary school, I was behind in math. I didn't enjoy it. I didn't like memorizing multiplication tables, etc.
    When I entered seventh grade, I was tested at fifth-grade level. My school didn't have traditional math instruction. It had a "reading lab" model for math, with each lesson as a one-pager with problems on the back of the page, all in a box at the front of the room. Kids took the cardboard lesson next in the curriculum to their seats, read, and worked on the practice. Once they finished, they took their work to the teacher to check. If they passed, then they did the next lesson. Forever. So it was Khan in a pre-computer age.
    I finished fifth grade, then sixth. Then seventh, then eighth. So in one year of seventh grade, I went from being two years behind to being a year ahead. By the end of eighth grade, I was two years ahead.
    Self-paced education lets kids take time when they need to, and move fast when they can. They can go from behind to ahead in a single year if they are given the chance.
    One more thing -- running in formation in the military is always slower than the slowest person. You might think it's as slow as the slowest, but it's even slower than that.

    • @batfaengz
      @batfaengz Рік тому +1

      I’m in 9th and I’m not that great at math but I want to go into science I know that math is a major part of that. Honestly math is extremely interesting to me, but I’ve had a lot of holes in my math education because I was never really taught how to look at the big picture to retain the main ideas. I’m trying to fill in my holes from 9th grade and below this summer as well as get ahead in geometry and possibly even a little bit of algebra 2. It makes me feel so horrible when I realize I’ve forgot simple concepts that I learned so long ago but I’ve realized if I want to be good at it I really have to self study it because in school they tend to leave you behind feeling lost.

    • @themysteriouspencil4766
      @themysteriouspencil4766 Рік тому +1

      I entered 9th grade taking algebra 1 and, through self studying, I am now on a track to graduate with calculus 3 (now between 10th and 11th)

    • @themysteriouspencil4766
      @themysteriouspencil4766 Рік тому

      @@batfaengz keep working at it, I cant skip ahead in my high school math so I am simply dropping it to take math classes at my local community college, if someone says you cant do it then simply prove them wrong!

  • @johnpaoloicmat13
    @johnpaoloicmat13 3 роки тому +320

    Hey Grant, could you do a podcast with Terrence Tao? That would be fun!

    • @BroseMusic
      @BroseMusic 3 роки тому +18

      PLEASE

    • @Baconlessness
      @Baconlessness 3 роки тому +68

      Tao is notably hard to get for interviews. Brady was very fortunate to get a few minutes with him for Numberphile.

    • @Sciencedoneright
      @Sciencedoneright 3 роки тому +8

      @@Baconlessness yeah

    • @sarvesh_soni
      @sarvesh_soni 3 роки тому +6

      If possible *PLEASE*

    • @idjles
      @idjles 3 роки тому +11

      @@Baconlessness because both Brady and Terry are from Adelaide.

  • @Nova-op1ob
    @Nova-op1ob 3 роки тому +86

    Two voices--beings of the void--descend and take human forms to share their wisdom.

  • @bahmansadeghi4688
    @bahmansadeghi4688 3 роки тому +106

    I really love Khan Academy. I am learning and enjoying biology in my 40s with Love. Online education is one of the best parts of internet , Much love

  • @maxwellsequation4887
    @maxwellsequation4887 3 роки тому +42

    The two best teachers on the internet talking.

  • @sharonsolana
    @sharonsolana 3 роки тому +15

    The Khan Academy helped me with calculus 1, 2, and 3 through my local community college. I worked _really hard_ and got all A's. These classes are transferable to the University of California. Now I am taking the Khan Academy high school physics course...
    Thank you Khan Academy!

  • @TheRonakagrawal
    @TheRonakagrawal 3 роки тому +39

    I don't know, I just switch gears mentally b/w Grants voice and Sal's voice given the amount of time I ve spent on 3b1b and Khan academy. Listening to this was a conflict b/w expecting animations vs a black digital scratch pad... 😅

  • @georgiansunil
    @georgiansunil 3 роки тому +42

    Suggestion: Pls bring mathologer to this podcast.

  • @yash1152
    @yash1152 3 роки тому +6

    22:58 - 23:03 ohhh, "mastery learning"
    23:05 - 23:10 "traditional learning" - ohh my godddd, this stuck soooo many strings inside me that tears rollled outta my eyes

  • @vishnukarthik8351
    @vishnukarthik8351 2 роки тому +11

    It's interesting that what Sal mentioned about thinking in real time with the student is also something Professor Gilbert Strang (another very good teacher) says he does while teaching.

    • @kasiphia
      @kasiphia Рік тому +1

      Seen his Linear Algebra lectures

  • @ilickcatnip
    @ilickcatnip 3 роки тому +15

    Not only my two favorite people but also my two favorite voices.

  • @jeffwilken7241
    @jeffwilken7241 3 роки тому +11

    One of my favorite people on this planet, period. Thank you for enriching and empowering countless lives the world over, Sal - right now, and for generations to come. God bless you.

  • @chonkydonkyexplains4778
    @chonkydonkyexplains4778 3 роки тому +31

    9:24 I’m now convinced that Sal has found the optimal solution to testing. Damn, this is a good podcast.

  • @juanserratos2596
    @juanserratos2596 3 роки тому +123

    Im a simple person: i see grant, I like and watch the video all the way through

  • @LoganKilpatrickYT
    @LoganKilpatrickYT 3 роки тому +33

    Sal is such an incredible person. This is great!

  • @lpawlowicz3077
    @lpawlowicz3077 3 роки тому +4

    Sal Khan is a blessing. He created a way for students to overcome failing school districts and succeed.

  • @ashar4121
    @ashar4121 3 роки тому +2

    OMG OMG OMG
    Sal Khan and 3blue1brown?
    I lived in Latvia for two years and went to the 7/8 th grade there. But I didn't understand almost anything, cause the lessons were in Russian and Latvian. So what I did was going to school every day, and then after school I would open Khan academy and start learning online. I learnt so much there, the knowledge I got from there is the basic of my current understanding of science. It helped me SO much. Thank you Sal, thank you Khan academy, you must have changed life of millions.

  • @JoelRosenfeld
    @JoelRosenfeld 3 роки тому +19

    Sal really is an inspiration for educators. I’m very impressed with what he has accomplished.

  • @VAM_Physics_and_Engineering
    @VAM_Physics_and_Engineering 3 роки тому +8

    great podcast... khan saved me in the early days of college to refresh and learn the basics... 753,000 energy points strong...

  • @nitinnilesh
    @nitinnilesh 3 роки тому +6

    Listening two of the best voices talking to each other is bliss.

  • @aditichegu1951
    @aditichegu1951 3 роки тому +42

    my aha moment was when Grant said naturally referring back to concepts in lessons is a form of spaced repetition

    • @orsenthil
      @orsenthil 3 роки тому +1

      Yeah, that was an interesting correlation.

    • @yash1152
      @yash1152 3 роки тому

      hmm?

  • @ande5460
    @ande5460 3 роки тому +4

    The second I heard his voice my brain launched me back in time to sitting in the library listening to his videos while getting my BS math. My college experience completely changed when I was introduced to his videos.

  • @josie5056
    @josie5056 3 роки тому +8

    Got to say Grant, you're a fantastic interviewer. Great questions that lead to interesting answers with interesting people.

  • @kashmira_zambad
    @kashmira_zambad 3 роки тому +4

    43 minutes of these two is not enough! Waiting for
    Part 2!

  • @Woef718
    @Woef718 3 роки тому +14

    Thanks to khan academy I could study this year at mathematics university leiden too bad it was a disaster and I had to drop out. Still the lessons I learned at khan gained me alot of confidence.
    I just hope they will make more advanced classes that are really getting teached at university.

    • @adnanmohamed6517
      @adnanmohamed6517 3 роки тому +2

      Check out OCW, they have great content for university level. There are also other good sources that you can find. But I agree khan academy is special.

    • @Woef718
      @Woef718 3 роки тому

      @@adnanmohamed6517 thank you for the suggestion! I just checked it out and it looks promising!

  • @suvarnagoel501
    @suvarnagoel501 3 роки тому +13

    When the episode's sponsor also is in sync with Grant's message of creating something new👏👏

  • @LordZombieZanetta
    @LordZombieZanetta Рік тому

    I think that khan can revolutionize the classroom in person with the online Khanmigo. I have been self studying fir college for 3 years and at 44 am going to college this fall, I want to be a mathematician/teacher. I hope in the years to come I can show khan to many others and through time teach others with khans services, Sal is my hero.

  • @nate9952
    @nate9952 3 роки тому +2

    I’d really love to thank Sal, being homeschooled much of my earlier education, Khan Academy was almost the sole provider of math for me from 5th grade to 12th. I’m now a third-year computer science student! And love math! :)

  • @sm_xiii
    @sm_xiii 3 роки тому +3

    Sal Khan and Grant!
    No univ has ever catered more students than these two teachers. Thank you. 🙂

  • @evanescentmagnus5284
    @evanescentmagnus5284 3 роки тому +2

    Here in Taiwan, a lot of people use Khan Academy and also watch 3b1b videos. This podcast is amazing!

  • @sirpikapika1129
    @sirpikapika1129 3 роки тому +5

    Listening to this I realize that I would be amazing at teaching.
    I have ASD and I constantly felt confused about so many things growing up. I remember that feeling of helplessness, exhaustion, and embarrassment very vividly.
    My personal ASD features hyper empathy, and combined with my experiences I can model people’s knowledge and headspace very well.
    On top of that, I make an effort to always assume that nobody knows about something rather than assuming everyone knows about it.
    It feels so alienating to have someone casually talk about stuff that makes no sense to you, I will gladly take the minor annoyance of having something re-explained to you in order to avoid that alienation.

  • @ARKADEEPNARAYANCHAUDHURY
    @ARKADEEPNARAYANCHAUDHURY 3 роки тому +55

    Hi Grant, Please do a podcast with ViHart too. We do not get to see her that much these days, except for the yearly pi day videos. Thanks!

  • @MehbubulHasanAlQuvi
    @MehbubulHasanAlQuvi 3 роки тому +5

    Huge thanks to Khan Academy and you for the Multivariable Calculus videos. I enjoyed every single video and learned a lot from them. The extraordinary visualizations helped me learn in a way I could never imagine!.

  • @bhavulgauri7832
    @bhavulgauri7832 Рік тому +1

    It's so beautiful to see 3b1b logo right in Grant's eye in the first intro part. I really could not focus on much else.

  • @phillupson8561
    @phillupson8561 3 роки тому +1

    I was fortunate enough to go to a school in the UK which was setup by a businessman and funded by industry which was an incredible experience, kudos to parents who do have the open mind required to experiment with new styles, in the future many of the people you've taught will look back warmly on the experiences you've provided them with.

  • @ryanvsiler
    @ryanvsiler 3 роки тому +22

    Love these podcasts Grant, are you hoping to do longer episodes in the future? Love your lineup so far, I would love to see you doing 3 hours with people like Penrose or Po Shen Lo.

  • @playerscience
    @playerscience 3 роки тому +1

    My favourite teacher ever!!!
    Sal khan!!!!!🥰🥰🥰

  • @RPEndeavors
    @RPEndeavors 3 роки тому +2

    Gosh. These podcasts are incredible. It was great learning more about Mastery-based learning and it is more suitable for student's learning journeys than traditional learning.

  • @BlueyMcPhluey
    @BlueyMcPhluey 2 роки тому

    I could listen to these two talking all day

  • @gayatrisavarkar8196
    @gayatrisavarkar8196 3 роки тому +3

    Listening to it on podcasts reminded me of binge watching the essence of linear algebra at late night! Thank you so much for these enlightening conversations, keep going!

  • @shubhamvishwakarma8309
    @shubhamvishwakarma8309 3 роки тому

    Man these two have best voices in the world...

  • @HassaanAtif
    @HassaanAtif 3 роки тому +11

    It was just an hour ago that I found out about your podcast channel and now that I was scrolling through my youtube feed, I saw this video pop up. It's CRAZY! I love the quality that your videos provide. Cheers, mate!

  • @remiwi2399
    @remiwi2399 3 роки тому +3

    Can I just say that I super appreciate youtubers who, like you, tell me exactly when an ad read is going to end. I hate it when I just have to guess how long people will ramble on

    • @gamenews1414
      @gamenews1414 3 роки тому

      I straight up watched it out of respect for him as soon as I saw that.

  • @JoelRosenfeld
    @JoelRosenfeld 3 роки тому +1

    One thing I'd like to comment on is the "checking ID" in university classrooms. We absolutely did that when I was a graduate student TA'ing for Calculus 1.
    When I was a graduate student, we proctored mass exams with about 150 students per lecture hall, and there were something like 5 lecture halls with the same exam. There were approximately 3 proctors to each room.
    There were such stringent requirements for the exam. You couldn't leave until 20 minutes have passed, and no one could join after 20 minutes (to keep people rushing out and giving away the questions), students had to sit with at least an extra seat between them, and there had to be at least three different copies of the exams (color coded) to prevent cheating. Students weren't allowed to wear their hats, no calculators, and all bags had to be at the front of the room.
    About half way through the exam, two of the three proctors would circulate and check IDs against the name on the scantrons and the exam.
    If someone didn't have their ID, it always ended up being a bit of a fuss, because our supervisors expected every single ID checked. This was always annoying, since we had to cram ourselves between every table and desk to speak with each student in the middle of their exam. Highly disruptive, but that's what we were told to do. You can imagine we got a lot of nasty looks and grumbles.
    This setup was for every large lecture hall class. Including Precalculus, Calculus 1 - 3, and Differential Equations. And this was at the University of Florida, the flagship university of our state.

  • @mateocostantino7614
    @mateocostantino7614 3 роки тому +1

    I think what Sal says about building credibility with a large base of trustworthy content creators rings very true. I remember watching Khan Academy's multivariable calculus unit after I had just come from Grant's essence of linear algebra playlist and to hear him again was a really affirming thing. It was saying that the place I was learning from was high quality (even if the 2008 videos didnt look like it) and worth my time to watch participate and learn

  • @jimb0b441
    @jimb0b441 3 роки тому

    My first class on my first day of college was a multivariable Calc class and I had never been taught matrix math in school, so when the professor assumed everyone knew how to do a determinant it really threw me for a loop. I vividly remember sitting in the library afterward, frantically searching online for a good explanation of it and other matrix math concepts. I stumbled across khan academy and watched maybe an hour's worth of videos and did some practice on paper until I had a handle on it, and it really saved my skin going forward in that Calc class. I haven't watched any other khan academy content since then, but Sal's voice and tone and general demeanor have always stuck with me, and in my mind he'll always be the guy that got me through multivar

  • @samernoureddine
    @samernoureddine 3 роки тому +6

    Look at that professional lighting! Way to go Grant!

  • @behrampatel3563
    @behrampatel3563 3 роки тому +1

    Thank you for doing this grant. Been working in VFX for over 20 years. Gaming & VFX is all math. I owe my knowledge of math to Sal and you. Things just didn't click in school and college and i suffered for it in the industry. I experienced what math intuition is after starting from scratch on Khan Academy. Then your linear algebra videos dropped and academia was never the same again.
    Cheers and deep respect,
    b

  • @artako
    @artako 3 роки тому +1

    On the last podcast Grant mentioned that before writing the script for a video he would hop on to a Zoom call with a person and teach that topic to figure out the structure of the script. Imagine being the person on the other side of the call. Sounds like so much fun! Great podcast Grant!

  • @jorgeluisgalvezvallejo4680
    @jorgeluisgalvezvallejo4680 3 роки тому +2

    Around the time Sal is talking about editing things out, I remember in his differential equations course a long time ago, in one of the modules he pauses because he hears someone coming in into his house. Sal says "I thought a critter was getting into my house, turns out it was my wife." I don't know if anyone else saw this video.

  • @themasstermwahahahah
    @themasstermwahahahah 3 роки тому

    I COMPLETELY agree that having fewer teachers, or just sal makes it easier and more enjoyable to learn. I have never talked to sal in person, yet i think of him as a personal mentor, i trust him, and he is engaging. He is a living example of a renissance man, and allows me to build enthusiasm for a completely unrelated subject, by building off shared enthusiasm for math for example. I have a parasocial relationship with him, and i can get straight to learning in every subject, without having to familiarize yourself with yet another person. I think this can also be seen in person, when you have a teacher again for a different class.

  • @Mariam_Yasin
    @Mariam_Yasin 3 роки тому +1

    Thankyou Grant for having Sal The Legend.

  • @gabrielgarcia8256
    @gabrielgarcia8256 3 роки тому +3

    I am extremely grateful for this video. I was introduced to so many new concepts and I hope as a teacher that I can help make the vision presented here a reality. Similarly,, I don't know how many people know about the modern classroom project which is training teachers to create classrooms like the one Mr. Khan describes. I wonder if Mr. Khan and Mr. Sanderson are aware of this project and if some collaboration could occur.

  • @coderanger7708
    @coderanger7708 3 роки тому +8

    451 likes 0 dislikes. This how all his videos should be

  • @bpetersson5024
    @bpetersson5024 3 роки тому +1

    Yay!!..the Soh Ka Toa, dude! Congrats to both of you and to Sal, you have probably been the most influential person in the modern age!
    and regarding the idea of actual communication across the media membrane, editing videos takes away the spontaneity of it. Sal's self correcting comments in the middle of a video adds to the value of the communication and his willingness to rerun the tape if you didn't get the content. I have spent many hours issues of differential calculus to understand Maxwell's equation and there is a beauty in the message that ta carried to people everywhere, including S-E Asia and Africa. Fantastic work!!

  • @LabibaBinteWali
    @LabibaBinteWali 3 роки тому

    probably one of the most valuable contents in the world history

  •  3 роки тому +1

    I really resonate with the final statement in the podcast. Too many educational videos fail due to not having enough silence.

  • @Labdominals
    @Labdominals 3 роки тому +2

    I’ve learned more in the videos you both have created than all my years of college combined.

  • @mohammedhardi7891
    @mohammedhardi7891 Рік тому

    They've both got a golden voice for mathematics

  • @xValkyrie93
    @xValkyrie93 3 роки тому

    Amazing conversation. Really interesting to listen to. When I was in Primary School, up to 12 yrs old, there was 12-18 kids. Only 2 teachers. The conversation about learning where its based upon the speed you actually learn really hit home because i distinctly remember going to a new school the year after, and thinking, Ive done all of this math before 1-2 years ago. For me it didnt feel like i learnt at a fast pace, but it was in comparison to others. But it allowed me to just learn with no boundaries. Really hope that the world is slowly moving towards this as I do see this being very positive.

  • @priyansutank
    @priyansutank 3 роки тому

    Kids love star wars poster as background...
    Men love favourite actress poster as background...
    Legends love bookshelves with great books as background...
    Your background wall indicates your past and predicts your future...

  • @adabujiki
    @adabujiki 2 роки тому

    They both have soothing voices, Lol he actually sounds like Khan sometimes.... makes sense that they used to work together.

  • @eccentricOrange
    @eccentricOrange 3 роки тому +1

    Damn, Grant! You both have a kind of paternalistic view on education and teaching the world in general. Brought out very skillfully in this podcast. Bravo!

  • @Mariam_Yasin
    @Mariam_Yasin 3 роки тому

    Sal Khan is awesome! I cannot believe you followed up on the Non-Profit even with Schoolhouse! This is just spectacular.

  • @not_elm0
    @not_elm0 3 роки тому

    Sal is incredible. Khan Academy is rly doing good things for students online. Thank you Sir 🙏

  • @trenetae
    @trenetae 3 роки тому

    Sal Khan is such an inspiration in life.

  • @ramizr
    @ramizr 3 роки тому +1

    This is so weird to listen to Sal that there's no black space in the screen explaining something:)) , loved the conversation anyway

  • @sfs8730
    @sfs8730 3 роки тому +1

    The best ever ending to a podcast

  • @bimonte
    @bimonte 3 роки тому

    The best 2 voices in the internet. Also the best 2 teachers.

  • @vaishnavchandra5220
    @vaishnavchandra5220 3 роки тому +2

    It's fun to listen two Smart persons talk

  • @goclbert
    @goclbert 3 роки тому

    On the subject of a-ha moments: The commonality between most a-ha moments is the co-explanatory value. When you show how two known facts are related, you’re giving a co-explanatory reason for the facts. Once you recognize that there is a reliable way to generate a-ha moments, they almost become second nature to you as you’re developing explanations.

  • @ANTEKWICINSK
    @ANTEKWICINSK 3 роки тому

    Thank you, sincerely. You both truly are doing a great thing for the world.

  • @leovoghera6174
    @leovoghera6174 3 роки тому

    I really enjoy learning science and math and other stuff but I always struggled with school regardless even had to redo a year I really think the education system needs to be reformed and i think a whole lot of people agree with that sentiment so i hope khan is successful with his goals

  • @dipalzambare9257
    @dipalzambare9257 3 роки тому

    Wow, two people who made me better with math, thank you!

  • @themasstermwahahahah
    @themasstermwahahahah 3 роки тому

    Optimally, i think khan academy has a handful of teachers that teach every single lecture of every course. That way you can pick who you jive best with, and use them for every single class.

  • @aadil4236
    @aadil4236 3 роки тому +1

    I haven't even watched the podcast yet but I'm sure it's great, please keep them coming.

  • @landonfrigault8096
    @landonfrigault8096 2 роки тому

    I love this Ad format, I'd actually always listen to promos that took this format. I always skip other ones.

  • @pd7484
    @pd7484 3 роки тому +2

    i love both of these guys so much

  • @amit.deshmukh
    @amit.deshmukh 3 роки тому

    Two soothing voices together wow

  • @yuvrajt
    @yuvrajt 3 роки тому +4

    Ahh the OG is here!

  • @cullynn
    @cullynn 3 роки тому +1

    I'd love if these conversations were longer!

  • @YashwanthXtreme
    @YashwanthXtreme 3 роки тому +4

    Man I could here sal talk and talk for hours 😂

  • @oyster4545
    @oyster4545 Рік тому

    Nobody can beat Sal Khan

  • @nataliakaczkowska1488
    @nataliakaczkowska1488 3 роки тому

    What a beautiful punchline message: give yourself permission to be yourself and relaxed, and press the "record" button! :)

  • @kunalmuley09
    @kunalmuley09 3 роки тому

    Two of my favorite people together!

  • @ojaswighate2588
    @ojaswighate2588 3 роки тому

    Absolutely excellent academy ☺️🙏💐
    It's free... Great man 🙏

  • @maxwellchiu6859
    @maxwellchiu6859 2 роки тому +1

    Hey Grant (and Sal): I read about Quaternions in Thomas Pynchon's book "Against The Day" and have been on a mission to learn enough to gain an intuitive understanding (it's the only thing that is important to me; after that I don't have anything to prove). I'm not quite there yet, but boy do your lessons help. Thanks so much.

  • @111_vishalkumar5
    @111_vishalkumar5 3 роки тому

    Thanks 🙏 Grant & Sal for this beautiful podcast...❤ Love from INDIA

  • @Who_70
    @Who_70 2 роки тому

    من الذكاء انك تفهم الطالب …

  • @adityakulkarni5577
    @adityakulkarni5577 Рік тому

    My two heroes in one video.

  • @tomclancy3988
    @tomclancy3988 3 роки тому +1

    This guy made combinatorics so easy for me

  • @rmsgrey
    @rmsgrey 3 роки тому +2

    There's a definite tendency in "professional" mathematics, which goes all the way back to Euclid, to present the most polished form of an argument - to start an argument with "let epsilon equal three delta" because you know, from going through the argument ahead of time, that if you add in that factor of three, then everything will cancel out neatly, and changing the input by delta will change the output by exactly epsilon, when the first time you do it, the "let epsilon equal three delta" line is going to be almost the last line of the proof.
    Many years ago (last century), when I was at school, I was asked to give a presentation on the BMO (British Maths Olympiad) to a group of interested adults, and took a first round question and presented my solution to a question (involving chasing angles round a circle to prove something) - presenting a very polished version with only the necessary angles given labels. I dimly realised during the follow-up questions that I'd taken the wrong approach and not engaged the audience - but too late to do more than fumble some awkward comments out about how different the presented version was from my first attempts.

    • @GrantSanderson
      @GrantSanderson  3 роки тому +5

      This is such a good point. I wish there was more of a culture around presenting the path to a proof, instead of merely the proof itself.

    • @rmsgrey
      @rmsgrey 3 роки тому

      @@GrantSanderson To give due credit, my thoughts on this topic were largely crystalised by your previous podcast episode, which brought up several related ideas.

  • @vidishapandey91
    @vidishapandey91 3 роки тому

    Didn't miss a second, so engaging and deeply sensible.

  • @thehazarika
    @thehazarika 3 роки тому +2

    Absolutely love every thing you do. These are awesome!
    One suggestion is that, don't edit the awkward silences out, that makes a conversation even more realistic and engaging. The flow of the conversation seems a bit unnatural at the moment.

  • @arxaaron
    @arxaaron Рік тому

    Interesting that a lot of the educational ideas and goals align with those found for decades in liberal Quaker Friends School education.