朋友与家人网络研讨会：如何与 Scott Flansburg 一起成为人类计算器

凯文·希基（Prevalent公司首席执行官）：大家好，我是凯文·希基，Prevalent公司的首席执行官。在学校和办公室关闭、多数人居家办公并陪伴家人的当下，Prevalent团队希望通过一场特别的线上活动带来欢乐时光——我们邀请到了"人肉计算器"斯科特·弗兰斯伯格。 凯文·希基：斯科特是我三十余年的挚友，他曾亮相《奥普拉脱口秀》《艾伦 秀》《今日秀》等知名节目。凯文·希基：他是吉尼斯世界纪录认证的"最快人脑计算器"保持者。凯文·希基：同时也是"计数游戏"的创始人。凯文·希基：无论您是与配偶独处，还是陪伴孩童或青少年，相信这场活动能满足所有人的需求。凯文·希基：开场前请允许我说明：我们已采取所有必要防疫措施——摄像设备通过远程电话操控，全体人员保持社交距离，办公室仅三人值守。凯文·希基：我向各位保证我们已采取所有防护措施，现在请放松心情享受乐趣。接下来将由斯科特为大家讲解，希望各位都能收获愉快体验 。凯文·希基：本次会议将全程录制，未来您可登录官网查阅今日从斯科特处学到的趣味技巧。祝大家度过美好的一天。

斯科特·弗兰斯伯格：好的，凯文，感谢你，我也想感谢Prevalent团队今天邀请我来。斯科特·弗兰斯伯格：我对这次机会非常兴奋，因为我们都处于特殊时期，所以今天只想让交流尽可能轻松愉快。斯科特·弗兰斯伯格：我们不会涉及太多内容，只讨论对大家有帮助的部分。斯科特·弗兰斯伯格：那么开场环节，需要凯文帮我热热脑子——我们先来做些数字计算，我将尝试在脑中完成运算。

斯科特·弗兰斯伯格：凯文会用这个计算器演示，现在开始——这叫"数字"应用程序。斯科特·弗兰斯伯格：凯文，你先开始吧。我得先热热脑子，毕竟我不是运动员而是数学健将，得先热身一下。斯科特·弗兰斯伯格：先来做些两位数加法练习，连续做几道。每次加完一道两位数，我会说"加"字，表示我准备好做下一道了。好了，我准备好了。

凯文·希基：哦抱歉，清空了。

斯科特·弗兰斯伯格：先把这些两位数清掉，比如56、73之类的，抱歉稍后我们会处理更大的数。斯科特·弗兰斯伯格：49加上4加上4加上4，再加394，她得到394，明白。斯科特·弗兰斯伯格：好的，我这就教你们如何操作，几分钟就好。我三年级时偶然发现了这个方法。斯科特·弗兰斯伯格：不过凯文，咱们继续来点乘法题吧，随便给我两个两位数，我当场算出来。

凯文·希基：《时代报》。

斯科特·弗兰斯伯格：8277没问题，我明白了。斯科特·弗兰斯伯格：82对。斯科特·弗兰斯伯格：行，行，我还在热身。斯科特·弗兰斯伯格：来个除法题吧，给我个三位数除以一位数。

凯文·希基：263。

斯科特·弗兰斯伯格：再来一个，这道题挺简单的，挑个复杂的数字——132.4285714285云云云云云，它永远都不会结束。斯科特·弗兰斯伯格：好，现在我热身完了，接下来要演示的是我发现的、能做到的一个技巧。当时我大概八年级，凯文，纯粹是好玩。

斯科特·弗兰斯伯格：显然计算器输入12加12，按计算键再按等号，会显示24。但再按一次等号，看看会发生什么。斯科特·弗兰斯伯格：它会再加12，如果再按等号，应该还会加12。斯科特·弗兰斯伯格：现在你只要不停按等号，它就会按这个数字累加。斯科特·弗兰斯伯格：有天数学课上，我朋友安迪当众演示这个，他问我："嘿斯科特，28加28等于多少？"斯科特·弗兰斯伯格：我回答56，他却不小心又按了等号键，又加了28。他接着问："那28乘以28呢？"我说84，他又问："再加28呢？"那一刻，我脑中仿佛有东西苏醒了 。斯科特·弗兰斯伯格：如今我保持着吉尼斯世界纪录——人类最快计算器，已逾二十载。斯科特·弗兰斯伯格：具体规则是：吉尼斯官方给我15秒时间，用十键计算器与全球最快计算者竞速。斯科特·弗兰斯伯格：裁判选定38作为基数，对方必须在15秒内以最快速度连续计算3/8+3/8+3/8+3/8+3/8，而我则同步大声报数38。斯科特·弗兰斯伯格：15秒结束时他算出28题，我完成36题，实际领先机器8题。斯科特·弗兰斯伯格：凯文请清空屏幕，我来选个双位数难题给你。斯科特·弗兰斯伯格：别告诉我具体数值，我直接输入后按加号键，再重复输入相同两位数，按等号键。我将按你输入的数值开始计数，你只需跟上我报出的下一答案。准备好了吗？斯科特·弗兰斯伯格：174、261、348、435、 522，609，六九六，七八三，八七零，九五七，一零四四，一一三一，一二一八，一三零五，一三九一，四七九，一五六六，一六五三，一七四一，五七九四，2001，呃呃2001，那年真不错。斯科特·弗兰斯伯格：看吧，我数数的速度比说话还快——其实是嘴跟不上脑子，当这种状态来临时，数字就像子弹般在脑海飞驰。斯科特·弗兰斯伯格：不过为吉尼斯纪录拍摄时，我创下了15秒内数出36个舞者的纪录，这个纪录保持了20年左右。斯科特·弗兰斯伯格：广告暂停时，工作人员对我说："斯科特，你虽然进书了，但我们怀疑你在作弊 。"斯科特·弗兰斯伯格：我反问："数38的数字怎么可能作弊？"他解释："我们怀疑你根本没在数，而是背诵了所有答案。"斯科特·弗兰斯伯格：我说"要是真能背下所有数字才更厉害呢"。 斯科特·弗兰斯伯格：我提议改用随机起始数替代零点计数。斯科特·弗兰斯伯格：于是凯文随机输入两三位数字，我看到后表示"没关系，数字不重要"。

凯文·希基：249。

Scott Flansburg: Now hit plus so our starting number is to 49 and now you hit Plus. Scott Flansburg: Now pick a two-digit number you want me to count by starting at 249 to just say it out loud that’s too easy cleared out. Scott Flansburg: Let’s start over because you had a 49 in the first one I could you know anybody could do that right 249 plus so I’ve never done this patter before here we go. Scott Flansburg: 327, four oh five, four eight three, five six one, six three nine, seven one seven, seven nine five, eight seven three, nine five one, one oh two nine, one mmm like that I can still go the same speed. Scott Flansburg: And so I am tuned into numbers. Scott Flansburg: And then I hosted the Olympics for mental math it’s called memory add for mental math World Records in Las Vegas in November 2016. Scott Flansburg: And I got challenged for my record and the girl that challenge we wanted to do a three-digit number so that has an error yet but we’re gonna do it right now just for fun. Scott Flansburg: So Kevin be gentle don’t go crazy on me but pick like. Scott Flansburg: A three-digit number and then don’t tell me what it is yet punch it in and then hit plus and then the same three-digit number and hit equals and I’m going to start counting by that three-digit number. Scott Flansburg: 498, 747, 996, one two four five, one four nine four, one seven four three, one nine nine two, two two four one, two four nine oh, two seven three nine, two nine eight eight, three two four seven like that just as fast. Scott Flansburg: I just fly as soon as I ask my brain that question the numbers should start flying it. Scott Flansburg: So I really tuned it into numbers and so the rest of the show I want to spend showing you how to see numbers and make it easier for you and everyday knife. Scott Flansburg: So Kev, thank you very much, great job, but now I want to get started with something real simple and I’m gonna start back when I was in third grade. Scott Flansburg: Our teacher wrote these for now I got to put this on here just give me one second screen here yes and so what I want to do is show you what happened to me is I was in third grade our teacher wrote this problem on the board. Scott Flansburg: We had already learned how to add up single digits and we were learning carrying with two-digit numbers and she showed everybody how you have to go start at the seven in the two is nine one more is 10 three more is 13 write down the three carry the one one two three four five and you add it up and there’s your answer. Scott Flansburg: And the only problem was I wasn’t paying attention that day. Scott Flansburg: I sat next to my best friend in class and we’d always talked about baseball we were on the same team so we really didn’t focus much on this and my teacher caught me not paying attention so she picked me to come up to the board to do this problem. Scott Flansburg: And I always used these four numbers to start my show because they’re seared in my brain because of the anxiety that I felt as I was walking up to the board realizing that I was busted and I didn’t know what to do. Scott Flansburg: I didn’t know where to start I didn’t know what the carry was and so I walked up to the board and out of fear or survival I’m not sure why my brain was like okay I learned how to read left to right so I must have to do my math left to right. Scott Flansburg: So I started over here in the tens column and then worked that way so here’s how I did and see if it makes sense to you this is a 10 10 10 10 all I did was keep a running total going down the columns backwards. Scott Flansburg: So watch this 10 plus 10 is 20 plus 10 more is 30 10 more is 40 now we can stop right there and you. Scott Flansburg: Learned estimation so this helps with estimation but let’s keep going we’re at 40. Scott Flansburg: 40 plus seven is forty seven plus two is 49 plus one is 50 plus three is fifty three and that’s the answer 53 and I wrote that down without a carry and my teacher said well you’re right Scott but where’s your carry and I said I don’t know what you’re talking about what’s a carry. Scott Flansburg: And she said well let’s try another one so you guys try this one out this was the next one she gave me I always use this one too. Scott Flansburg: All right just try it on your own first then we’ll do it together just I’ll give you a couple seconds here always starting on the left you learn estimation number sense place value it’s amazing. Scott Flansburg: Okay I’m sure some of you already got the answer let’s try it. Scott Flansburg: So this goes 20 plus 20 which is 40 20 more is 60 10 were 70 so estimation 70 something or higher. Scott Flansburg: 70 plus 6 is 76 plus 3 is 79 plus 1 is 80 plus 8 is 88. Scott Flansburg: So I promise you you might have never seen that before in your life but this is as simple as it gets. Scott Flansburg: Let’s try one together everybody do this on your own. Scott Flansburg: Race the people you’re watching the show with right now just shout out the answer when you get it Kevin over here you yet.

凯文·希基：不，差得远呢，这完全是——我觉得你根本没看数据，所以事情是这样的：

Scott Flansburg: So let’s try it together we got 30 50 60 70 70 7 79 80 85 the answer is 85. Scott Flansburg: I hope you got that right and now I just wanted to break the ice with this simple thing because I discovered this by accident when I was in third grade but what happened was it made me question everything I learned the rest of my life. Scott Flansburg: In fourth grade I had a tough time with my math teacher he was my way or the highway. Scott Flansburg: And fifth grade I got very lucky I had a teacher named Mr. Potter and Mr. Potter goes Scott I’ve already heard about you he goes if you figure something out in my class you bring it to me and that’s why I can prove that it works algebraically and it’s not just a trick then I’ll let you teach it to the rest of the class. Scott Flansburg: So I’m just going to give you one example I you know I cover everything from addition to algebra and all my programs today we’re going to just do a couple of things but it’s funny when you get into memorization everybody memorizes up to 10 times 10 some people all the way up to 12 times 12 but really that’s about it. Scott Flansburg: If you ask somebody. Scott Flansburg: Thirteen times fourteen nobody has the answer so we all quit at ten but to me I couldn’t believe we were stopping at ten because 11 seemed like this amazing number. Scott Flansburg: Watch this when you multiply numbers times eleven there’s a simple pattern you know we could do it the way you normally do it you’re going to do 4 times 1 is 4 2 times 1 is 2 put the 0 then you got to you know do it this way and you know you end up with 240 and 24 and all that you got to add them all together it’s a lot of work. Scott Flansburg: But watch how easy this is now anytime you have to multiply a number times an 11 just go like this drop the back number here drop the front number here and now just add these two together 2 plus 4 is 6 and drop that in the middle and there’s your answer. Scott Flansburg: All right, let’s try another one. Scott Flansburg: 35 times 11 first step is you drop the numbers down from the top on to the ends and now three plus five is eight so 385 all right. Scott Flansburg: You should be able to do this pretty easily in your head so let’s just practice one let’s do 33 times 11 everybody try it in your head then I’ll write it down so you can visualize it. Scott Flansburg: A lot of people are very visual when it comes to math so 33 times 11 you’re gonna have a 3 here a 3 here and 6 goes in the middle. Scott Flansburg: This works all the time three-digit numbers four-digit numbers there’s a carrying process in here if you want to try it but if your kids love this just have them try bigger and bigger numbers and they’ll discover all these patterns and figure out how it works instead of just making them memorize how it works. Scott Flansburg: What I try to teach people to do is how to discover numbers not memorize numbers. Scott Flansburg: So this is my biggest concern is uh it seems like it’s become socially accepted to be bad at math. Scott Flansburg: And we all carry one of these in our pocket now we all have a calculator. Scott Flansburg: Take a look at the calculator for a second you take it for granted how many numbers are on a calculator some of you probably said 9 10 I’ve heard a Levin 12 I’ve heard 6 it’s crazy all the different answers when I visit schools and stuff. Scott Flansburg: But it’s really funny as is look at this calculator this is the most powerful machine now we have them on our phones in our pockets and everything but this at one time was a big thing took a lot of space to crunch numbers and now it’s down to this today. Scott Flansburg: This show I’m speaking to you in English when you speak English you have to use the alphabet ABCD and make words and sentences and all that stuff. Scott Flansburg: Well. Scott Flansburg: The human calculator and I’m speaking the language of numbers I use the alphabet of numbers which are these ten digits 0 1 2 3 4 5 6 7 8 9. Scott Flansburg: There’s no 10 on a calculator yet we’ve all been brought up to think like this we have 10 fingers we’ve all there to go 1 2 3 4 5 6 7 8 9 10 and that’s cool if you need to count your fingers but if you want to think like a calculator you have to count 0 because when you turn on a calculator it always starts at 0 so you have to count 0. Scott Flansburg: So really numbers work like this we have 10 fingers and there’s 10 digits and it goes like this 0 1 2 3 4 5 6 7 8 9 it’s really 0 through 9. Scott Flansburg: And I can’t explain why the world is wired 1 through 10 but all I can tell you is is when you start thinking about numbers 0 through 9 everything changes it makes numbers so much easier all these patterns start jumping out of the bigger numbers you can see them. Scott Flansburg: And so what I want to do is just introduce you to this language of numbers here’s the 10 digits and there’s all kinds of different stories about how these numbers got their shapes. Scott Flansburg: When I was a kid I asked my third-grade teacher how do the numbers get their shapes who picked the shapes and she said I don’t know we asked other teachers they didn’t know. Scott Flansburg: And so I sort of made it my mission to find out why numbers look like they do and if you go online now you can find these beautiful graphs that’ll show you how they evolve through the years. Scott Flansburg: But for helping kids connect with numbers one of the cool ways I saw that numbers maybe came about which isn’t probably true but it’s a great way to help the kids with numbers is that these shapes were made for to be able to communicate to you. Scott Flansburg: The value of each shape by one simple thing here’s how zero started zero as a circle the secret is is to count the corners of each shape. Scott Flansburg: So I’m going to show you how they originally look to make this happen but now you can see why zero is a circle because they wanted to communicate that this had a value of zero so there are zero corners. Scott Flansburg: The next number one started out like this it had a little thing right there that’s one angle so everybody knew when they looked at that shape that value had a shape and a value of one. Scott Flansburg: The number two started out like our letters. Scott Flansburg: Because this shape has two corners, two angles so everybody knew that was 2. Scott Flansburg: The number 3 started out like this it gives you 1 2 3 angles there’s your 3. Scott Flansburg: And the number 4 looked a little different it looked like that and this gives you one up there’s 1 2 3 and then for the outside angle. Scott Flansburg: And then the number 5 it looked almost the same it just has a little tail on it like that that gives you 1 2 3 4 5 angles. Scott Flansburg: The numbers 6 start it out like this they just boxed it up that gives you one two three four five six corners six angles. Scott Flansburg: All right, seven we’re lazy we draw like that but somebody really smart came up with this a long time ago and now you have one two three four five six seven angles. Scott Flansburg: And you think eight would be tough but I ain’t it’s actually very easy they just use this hourglass symbol so you’ve got one two three four five six seven eight with the outside angles. Scott Flansburg: And then nine they actually call this one the ugly duckling but it got the job done it looked like that you’ve got one two three four five six seven eight nine. Scott Flansburg: So there you go it’s really zero through nine and now you know why numbers look like they do and you know 10 is not a digit 10 is the number that uses a 1 and a 0 so it’s really 0 through 9. Scott Flansburg: And when you turn on a calculator it always starts at 0 if it started at any other number you wouldn’t get the right answer so 0 is the power number when it comes to a calculator. Scott Flansburg: But now if I want to show you how to make numbers add up to 9. Scott Flansburg: Because the secret to numbers is everything goes back to 9 which I’ll share with you in a minute. Scott Flansburg: But a lot of you have just memorized your math facts just say the answer out loud as fast you can what’s 7 plus 7 I’m sure everybody yelled 14 within a half a second. Scott Flansburg: How are you getting that answer so quickly were you counting your fingers were you calculating something or did you just memorize that. Scott Flansburg: That’s what we do in our schools our kids the parents and the teachers just want to make sure the kids have the answer is the easiest way to get that is just have the kids memorize their math facts at the beginning of school which really doesn’t serve a good purpose it’s a it’s a bad way to get started I think. Scott Flansburg: So today I’m gonna introduce you to you what I call chapter zero. Scott Flansburg: I believe it’s the missing chapter in arithmetic and if students around the world would learn this chapter first it would make the job easier for our teachers and our parents and for everybody to make sense out of arithmetic and move on to higher maths and get into science technology engineering arts and math. Scott Flansburg: So okay, so before we get into adding or any secrets I got to show you a simple pattern to help you make you realize how simple 9 is. Scott Flansburg: If you’re not good at adding just do this start writing your digits zero one two three four and now I’ll keep going underneath five six seven eight nine and look what happened. Scott Flansburg: You can see that 0 plus 9 is 9 1 plus 8 9 2 plus 7 9 3 plus 6 9 and 4 plus 5 9. Scott Flansburg: Those are all the combinations to make 9. Scott Flansburg: And so after you write this down and you get your students to go through this what I do is a quiz is I’ll just say one of the digits and make them say the other number that makes both of them add up to 9. Scott Flansburg: So if I say 4 they have to say 5 if I say 7 they have to say 2 but now this is a very simple way to know you’re addition facts for the number 9 because that’s what it all comes down to. Scott Flansburg: So I’ve been serving as the human calculator traveling the world for 30 years and for a long time it was just about me me me and what I could do and look what I can do and then I just leave you know I never really shared much. Scott Flansburg: And I invented a new calendar to save us from y2k in 1999 and it was supposed to come out on 9 9 99 I was really excited I thought that was the beginning of y2k and it was supposed to be in a newspaper story here in Arizona and it didn’t come out and the guy called me and said hey we’re gonna put it in next week’s paper instead. Scott Flansburg: And I said hey next week is it 9 9 99 this is a once in a lifetime date and he goes oh I didn’t even notice that so I was all bummed out. Scott Flansburg: And I was on the golf course with Alice Cooper that day we were playing golf and by chance on the 18th green that day Alice said to me hey 18 I wrote a song called 18 one and eight. Scott Flansburg: Adds up to nine how come eighteen adds up to nine. Scott Flansburg: And I said Alice that’s easy any number times nine the answer adds up to nine. Scott Flansburg: If you do three times nine you get 27 2 + 7 is 9. Scott Flansburg: Six times nine you get fifty four five and four is nine if you do 16 times 9 you get 144 one four and four is nine. Scott Flansburg: He goes okay I don’t care and so I was just thinking about this so I’m driving home from golf I’m like why is that and I got home and I looked at my calendar thirteen month calendar I tell you about that at the end of the show. Scott Flansburg: But for some reason I just looked at the number thirteen and this is on nine nine ninety nine at nine o’clock in the morning just after nine and for some reason I looked at thirteen I said hey one plus three is four thirteen minus four is nine and I just started laughing out loud like that was just a strangest coincidence to me and I didn’t think much of a first second. Scott Flansburg: But then I walked by my microwave and I saw the number eleven and I just reflexively went alright one plus one is two eleven minus two is nine and I started freaking out. Scott Flansburg: I was like what is this how could my first thought to be honest with you wise Here I am the human calculator traveled the world performing I thought that I had missed one day in fourth grade when they taught this it’s so simple you’re gonna see here a second. Scott Flansburg: I thought that I just missed that day and nobody ever shared it with me and so I did we moved a lot when I was a kid so I had a lot of reasons to think I just missed it so I started calling my math friends to say what is this what is it’s called. Scott Flansburg: But here’s how it works let’s start at the simplest number 10 first number after 9. Scott Flansburg: All you do is add up all the digits in that number and write that total underneath so 1 plus 0 is 1 put the total underneath and subtract 10 minus 1 is 9. Scott Flansburg: Let’s try a couple random ones 15 1 plus 5 add them together you get 6 15 minus 6 is 9. Scott Flansburg: Let’s try 19 1 plus 9 is 10 19 minus 10 is 9 that works up to 19 but watch what happens over 19. Scott Flansburg: Let’s do 20 here’s 20 first step add the two digits together 2 plus 0 is 2. Scott Flansburg: Put the total underneath and subtract 20 minus 2 is 18 and look at your answer 18 1 plus 8 is 9 your answer will always add up to 9. Scott Flansburg: The next time you’re driving and you see a speed limit sign you’re gonna see 55 add them together 5 + 5 gives you 10 put the total underneath and subtract 55 minus 10. Scott Flansburg: 45 a look at the answer 45 4 plus 5 is 9. Scott Flansburg: So I challenge all of you watching today. Scott Flansburg: Write down your age I’m sure a lot of you have pencil and paper if you’re really good with numbers or just confident just do it in your head but think of your age or write down your age. Scott Flansburg: All right, so let me do it – I am. Scott Flansburg: I think I’m 37 and different number base so anyway so those 37 let’s say that all right. Scott Flansburg: So you write down your age and now you add those two numbers together 3 plus 7 is 10 you take that away and you get 27 and look at the answer 2 plus 7 is 9. Scott Flansburg: This should have worked for every one of you this doesn’t just work for two-digit numbers it works for three-digit numbers 4 digit 10 digit 100 digit to infinity. Scott Flansburg: Just to show you let’s just do one more let’s do 123 one plus two plus three you got to add them all together and you get 6 123 minus 6 is 117 look at that answer 1 1 7 1 plus 1 plus 7 is 9. Scott Flansburg: This works for every number in the universe I don’t know why we’re not teaching this in schools but there’s two things I want to share with you. Scott Flansburg: One I believe this is a simple exercise that will train all of our brains for basic number of facts instead of memorizing all these numbers this