Multiplication Tables Are Taught Wrong

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Combo Class

Combo Class

Күн бұрын

Пікірлер: 186
@ComboClass
@ComboClass 11 ай бұрын
Let me explain why multiplication tables are often taught wrong, and show a bunch of underrated patterns within them: 0:00 - Part 1: Metamemorization 2:26 - Parts 2 and 3: Primes and Composites 5:58 - Parts 4, 8, and 9: Squares and Almost-Squares 13:30 - Parts 10 and 100 and etc: The Beauty of Zooming Out 19:40 - Part Infinity: Conclusionfinity Thanks for watching! Leave a comment about your favorite part. And consider showing this video to a teacher in your life (if teachers incorporated more of these patterns when teaching arithmetic, I don’t think as many people would hate multiplication tables!). If you want bonus content, I've been doing livestreams every few days on my @Domotro channel, which are saved like videos on that channel's "live" tab afterwards. There is also a Combo Class "Discord" where combo lords chat, and a "Patreon" for those able to help fund future episodes (see the video description for names of my supporters and links to those).
@MarloTheBlueberry
@MarloTheBlueberry 11 ай бұрын
My favorite part? This whole dang channel!
@cbrooksusmc
@cbrooksusmc 11 ай бұрын
Love how dude just randomly feeds a squirrel in the middle of shooting.
@jerrys2292
@jerrys2292 4 ай бұрын
And it makes it into the final cut
@junipre985
@junipre985 4 ай бұрын
its his pet squirrel
@hansisbrucker813
@hansisbrucker813 4 ай бұрын
That squirrel surely does recognize a nutcase 😂
@Exantho
@Exantho 11 ай бұрын
one of the few people on the internet who can manage to scratch my itch for entertainment pertaining to mathematics
@TheDsyr4MyDmyz
@TheDsyr4MyDmyz 11 ай бұрын
Who are the other few? The more entertaining math channels I know, the better
@AnoNymous-dh2sv
@AnoNymous-dh2sv 7 ай бұрын
Dude this is literally the most entertaining mathematics channel in history, and I've checked most of them for years. It's clearly underrated (or at least I hope it's the people interested in mathematics who are few keeping the subs low for its quality).
@Lilly-Lilac
@Lilly-Lilac 11 ай бұрын
It’s also very interesting how these “multiplication tables” generalize to other operations. Tables like these are incredibly useful for representing the abstract notion of function composition with regards to groups and their actions (and many other places, but I found it very helpful in that case.) Noticing patters akin to the square numbers or primes etc can give you a much better idea of the group you’re dealing with.
@xaropevic7918
@xaropevic7918 11 ай бұрын
An interesting property of square numbers that I always forget but find cool is a thing that I remembered this video is that if you pick a number, let's start simple with 1 and 2, then square it, so we get 1 and 4, then subtract the bigger one with the smaller one, we get 3, then we repeat the process with the bigger becoming the smaller number and its successor, so 2 and 3, then squaring it, we get 4 and 9, then we do 9-4 and we get 5, which is 3+2, and we can repeat that process a lot of times (for example 16-9=7, 25-16=9, 36-25=11, 49-36=13, 64-49=15 and so on)
@aComedicPianist
@aComedicPianist 4 ай бұрын
There are two things I’ve discovered in this video by looking at the times table: The difference of consecutive same-parity integers happens perpendicularly to the perfect squares diagonal and symmetrically from the perfect squares diagonal until the difference becomes 0, reaching the outer edges. This relates to the other thing: The sum of same-parity integers form diagonals parallel to the perfect squares diagonal, but they’re offset by the integer they start on and are the addition of the same parity of that integer.
@PotatoSofi
@PotatoSofi 11 ай бұрын
The only problem with teaching kids exactly like this is that it presents way too many concepts at once. The best way to first ever present a times table to a kid is as an addition table, showing different patterns with sum and subtraction on the times table, then presenting the division one as the perfect opposite. After all that, it would definitely be benefical to slowly present some of those concepts you showed here and quite a lot of those would be useful for future concepts.
@ComboClass
@ComboClass 11 ай бұрын
I agree it shouldn’t be this fast paced if teaching a kid, you’d want to spread these patterns over the course of different days and spend time having the kid “discover” them and ask questions about them, instead of giving all these answers right away
@RichConnerGMN
@RichConnerGMN 11 ай бұрын
nice pfp!
@MarloTheBlueberry
@MarloTheBlueberry 11 ай бұрын
I absolutely love this channel. You do such a great job at teaching! Keep it up!
@Roxor128
@Roxor128 11 ай бұрын
I never properly memorised my times-tables. I fill in the gaps with addition or subtraction, depending on whether the closest value that comes to mind is above or below what I need. One thing nobody taught me about times-tables as a kid, but I realised when studying computer science at uni, and that I wish more people knew about, is that they're an example of the space-time tradeoff in action. It's a lookup table, trading increased memory for reduced compute time. You're spending a hundred slots in your memory to save the time you'd otherwise spend calculating those commonly-used values. For an actual use in a real program of such a technique, transparency in Duke Nukem 3D uses a 256*256 2D lookup table to find which colour in the game's palette should be used for a 1/3 transparent pixel (or 2/3 by swapping the order) when overlaying transparent walls or sprites. The actual calculations of what colour you'd get with a 2:1 mix of any two colours in the game's palette, and which colour in the palette was the closest match to it, was done by the developers during development and saved to a file that the game can then load from disk on startup. It takes 64KB of memory at runtime, which is not insignificant for a game that has to run on machines with 8MB of memory, but it's much faster than calculating three linear interpolations and then searching through the 256 palette entries for the closest match. Definitely worthwhile if it means you can run the game on a 486, rather than a Pentium.
@AllegraPersephone
@AllegraPersephone 28 күн бұрын
Some people have dyscalculia, to a lesser or greater degree. This can interfere with times table memorization, particularly around the 6x7, 7x7, 7x8 area of the times tables. In elementary my teacher separated me with a few other students and put us into a kind of special ed group for math, where they gave us basic sums and then gave us a stamp or a star, as if good job for getting this easy sum correct. Well I surely wasn't going to protest as I liked those little rewards and the sums were easy. They didn't seem to have any way to identify autism and dyscalculia then, or ways to give special attention or better suited education methods to anyone different. Anyway, many years later I realized something about 6x7 and 7x6, the answer is the meaning of Life, the Universe, and Everything. If A=1, B=2, C=3 ... then MATH = 42. These associations lodged it into a different part of my memory, where there was an apparent disconnect or deficit before. I didn't have a learning difficulty, I had a learning difference. I had attention problems. I was bored. I could have probably advanced years beyond everyone else. I at least hope the education system has changed since I was at school, and there is more awareness and support for people who are different.
@Escviitash
@Escviitash 11 ай бұрын
And the pattern, as shown in the 3 * 5 example, continues. For all numbers their product is: the average, squared - the distance from the average, squared e.g 7 * 4 Average = (7 + 4)/2 = 5.5 Distance = (7 - 4)/2 = 1.5 (5.5)^2 = 30.25 (1.5)^2 = 2.25 30.25 - 2.25 = 28 = 7 * 4. It extends to all real numbers, no matter the signage. e.g -7 * 4 Average = (-7 + 4)/2 = 1.5 Distance = (-7 - 4)/2 = -5.5 (the same absolute values as for 7 * 4, but swapped) 2.25 - 30.25 = -28 = -7 * 4
@stalfithrildi5366
@stalfithrildi5366 11 ай бұрын
As a secondary school maths teacher in the UK, I often get pupils who have struggled to memorise all the tables. I get them to memorise the squares and work from there to get 8x7 etc as its the exact method that got me thru to Post Grad studies.
@EvilSandwich
@EvilSandwich 11 ай бұрын
The difference of squares trick is my favorite way to make people think I'm smarter than I actually am. By my ability to "effortlessly calculate" that 58 x 62 is 3596. Or 29 x 31 is 899. I'm not literally crunching the numbers in my head, I'm just cheesing the rules lol
@0Shitou
@0Shitou 3 ай бұрын
Let's say you are asked to multiply two numbers which are not far away from each other. I'll take the Example with 21x28 First step: find the "middle number" between 1 and 8 middle number is either 4.5 So you can select anyone you want but I'll select always de smallest one; 4 in this case. Then 21x28 = 24x24 + 24 - (28-24)*(28-23) Thus: 24x24 + 24 - 4*3 Now, I dont know how much 24x24 is but I do know that: (a+b)² = a² + 2ab + b² hence: 24x24 = 20² + 2*20*4 + 4² And finally, 21x28 = 20² + 2*20*4 + 16 +24 - 12 = 20² + 188 = 588 If the two numbers are too far away like: 21x51,then: 21x51 = 21x25*2+21 and calculate 21x25 as 23² - 4 = 20² + 2*3*20 + 9 - 4 = 400+120+5=525 So: 525*2+21=1071 With Practise you can do this mentally pretty fasy
@AllegraPersephone
@AllegraPersephone 28 күн бұрын
21×28. This is how I do it. 10×28=280×2=400+160=560+28=588. It seems complex but it seems to me the easiest path.
@tsjbb
@tsjbb 11 ай бұрын
That squirrel shot was cool
@ComboClass
@ComboClass 11 ай бұрын
If you liked the first squirrel shot you are in for a treat because that squirrel (and/or it’s family) returns through the episode and other recent episodes
@nirn_
@nirn_ 2 ай бұрын
When your math teacher goes into hunger coma:
@yanntal954
@yanntal954 4 ай бұрын
This table is the reason why we should have all converted ourselves to being base 2 creatures. That way we would've only had to "memorize" the truth table of the AND gate!
@ofconsciousness
@ofconsciousness 4 ай бұрын
Thanks!
@koko969w
@koko969w 4 ай бұрын
This channel is lit
@vilvd3934
@vilvd3934 4 ай бұрын
That intro sounds crazy
@Censeo
@Censeo 11 ай бұрын
As a dart player I accidentally memorized the three times table up to 20
@kitty_foreststreamvods4116
@kitty_foreststreamvods4116 11 ай бұрын
0 is the only number that is both types of almost square
@ComboClass
@ComboClass 11 ай бұрын
And is also an actual square! What a great number
@wayfarergames
@wayfarergames 11 ай бұрын
I don't believe in zero the number sorry 😔 can't convince me it's anything other than a weird mathematical concept
@vital_vitamins
@vital_vitamins 11 ай бұрын
@@wayfarergameslook at your hand, how many pianos are on your hand rn
@wayfarergames
@wayfarergames 11 ай бұрын
@@vital_vitamins that doesn't make it any more of a real number 😉 still just a concept. Split your piano up into zero pieces and come back to me
@vital_vitamins
@vital_vitamins 11 ай бұрын
@@wayfarergames fair point, lol zero is definitely a very weird concept/number and its still debated today about what it is cause theres so much counterintuitiveness surrounding it
@georgecarozzi
@georgecarozzi 11 ай бұрын
if only 550/2 = 225 😭
@aze4308
@aze4308 11 ай бұрын
its 84
@charlesmarshall7045
@charlesmarshall7045 11 ай бұрын
Trained, 'pet' squirrels?
@swordfishxd-
@swordfishxd- 11 ай бұрын
hi
@sebgamingkid
@sebgamingkid 11 ай бұрын
5555th viewer
@Bibibosh
@Bibibosh 11 ай бұрын
Do you like squirrels??????????
@ComboClass
@ComboClass 11 ай бұрын
Yep they’re my friends
@marossedik2130
@marossedik2130 11 ай бұрын
When I found out about the almost square numbers being very similar to square numbers, I tried doing my own research generalizing the pattern and extending it more down the line. The pattern would go: a²=(a-n)*(a+n)+n² which can be really useful if you needed to calculate something like 28*32, as 30*30 is easy and going 4 down leaves you with 896...
@tristantheoofer2
@tristantheoofer2 11 ай бұрын
this is actually exactly what i do sorta lol. like if its 8*11 i just do 11*11 (121) then subtract the first numbers (11 and 8) in my head, so 3. then multiply that by 11 (33) then subtract it from 121. 121 - 33 is 88
@r4masami
@r4masami 11 ай бұрын
There is a mental math book that explicitly teaches this method for trying to calculate the squares of 2 and 3 digit numbers, it is where I first learned the idea
@9nikola
@9nikola 11 ай бұрын
@@tristantheoofer2 Isn't it better to make multiples of ten or other even numbers rather than changing it into a bunch of primes?
@abbe1255
@abbe1255 11 ай бұрын
@@tristantheoofer2 that's a lot of calculations for multiplying by 11 when you could just do 11*n=10*n+n
@JNCressey
@JNCressey 11 ай бұрын
for looking up info about this, this identity is called "the difference of two squares"
@ND62511
@ND62511 11 ай бұрын
Every upload I watch is more chaotic than the last. Regardless, it is really cool to see the times table with some new perspective. Lots of cool patterns exist in it, as is the case for all mathematical structures!
@Budjarn
@Budjarn 11 ай бұрын
These videos are soothing to me. The chaos makes me feel safe and welcome, like it’s okay for me to be messy.
@TymexComputing
@TymexComputing 11 ай бұрын
This is how Squirrel obesity starts.... - squirrel obesity makes squirrels spherical instead of squareical
@Giguv05
@Giguv05 4 ай бұрын
Squirrecal
@lexdeobesean
@lexdeobesean 11 ай бұрын
This dude gives me very strong Radagast the Brown vibes 🤣👍
@ofconsciousness
@ofconsciousness 4 ай бұрын
For real!
@tegxi
@tegxi 11 ай бұрын
One of my favorite examples of patterns being more useful than memorization is trig identities. I may forget that tan^2 + 1 = sec^2 but I do know the definitions/practical meanings of sin, cos, tan, and I know how they relate to csc, sec, and cot, so I can figure it out from there!
@RichConnerGMN
@RichConnerGMN 11 ай бұрын
nice pfp
@watcher314159
@watcher314159 11 ай бұрын
There's actually a general case for the (n+1)(n-1)=n²-1 type of "almost square" that I actually find really useful. (n+x)(n-x)=n²-x². So 6×2=(4+2)(4-2)=4²-2²=16-4=12. And indeed, if you continue moving diagonally away from the squares on your multiplication table you'll see this pattern of subtracting swuares quite clearly. And what I mean by finding this really useful is that if I have to, say, multiply 40×46 in my head, I'll often find it easier to find the square of 43 and then subtract 9 from it. Not that I have 43² memoried, but I can work my way up from 40² (which is 4²×10²=16×100=1600). (n+1)²=n²+2n+1 after all, so I just add 81+83+85=(80×3)+(1+3+5)=249 to 1600 for 43²=1849, and thus 40×46=1840. Yeah, sure, I could also do 40²+(40×6), but often I personally find the "almost square" method reduces the number of things I have to keep in memory all at once (and also the fact that they use different operators, plus the ability to add on my fingers rather than doing even more mental multiplication, helps me avoid mixing things up). It's not always the right tool for the job, but it's a tool I've found to be worth knowing (it's also one of the first bits of math I derived from first principles without any help as a kid (without even using algebra), so I have an admitted soft spot for it).
@morgunkorn_
@morgunkorn_ 11 ай бұрын
i love how this gives a new perspective on things taken for granted. also, SQUIRREL!! 🌰🐿
@JNCressey
@JNCressey 11 ай бұрын
I tend to have a few sparse multiplication results memorized to act as waypoints, then move to the desired multiplication with repeated addition.
@1495978707
@1495978707 4 ай бұрын
2:10 Our brains *love* patterns. That's like the whole reason we evolved intelligence, pattern recognition. Even a dumb butterfly can memorize a location across the world. But smarter critters can and enjoy making deductions and noticing patterns. Crows are fascinating for their ability to do so
@romasissues
@romasissues 11 ай бұрын
Thank you for making brilliant free educational content. The atmosphere and manner of teaching is so comforting and wholesome. I am hooked.❤️‍🔥
@louierichardson4750
@louierichardson4750 11 ай бұрын
Stopping me forgetting my entirely memorised education and teaching me more interesting and useful ways to apply more solid concepts... I wish you were my maths teacher sooo bad
@SteinGauslaaStrindhaug
@SteinGauslaaStrindhaug 11 ай бұрын
I have ADHD, so I stubbornly refused to memorise anything... I "cheated" by figuring out "tricks" to avoid actually remembering the tables, like times x * 2 is just x + x and x * 5 is just (x*10) / 2 and x * 10 is simply adding a trailing zero etc. Which means rather than memorising; I figured out what multiplication actually means.
@SteinGauslaaStrindhaug
@SteinGauslaaStrindhaug 11 ай бұрын
Still slow as heck doing multiplications in my head, even with single digit numbers. With the exception of times 2 and times 5 because dubling and halving is so common in my work as a programmer that I have over time involuntarily memorised them through repeated exposure.
@Fidtz
@Fidtz 4 ай бұрын
Great video. I suspect the going up to 12 thing is a tradition from a combination of Imperial measurements, old school British/Roman currency with 240 pence to the pound in 20*12 units and some time based calcuations.
@stirlingblackwood
@stirlingblackwood 11 ай бұрын
Domotro is a legend. He should make a second channel where he proves everything from his main videos 😎
@ComboClass
@ComboClass 11 ай бұрын
I have a second channel haha (@domotro) although it’s not always for proofs, I mostly use it for shorts and livestreams and random extra content
@EnderMega
@EnderMega 10 ай бұрын
Not only hes talking about a good topic but he is one of the few channels I saw that *actually has a personality.* Please, dont stop, we need more people like you.
@Jethro_Sigwilder
@Jethro_Sigwilder 11 ай бұрын
Domotro - Explainer of Maths, Patron of Squirrels
@mujtabaalam5907
@mujtabaalam5907 4 ай бұрын
How does zero appear an infinite amount of times in the 0-9 table?
@cs8712
@cs8712 11 ай бұрын
"Hello 911? I need to report a fire next door - oh wait...he's just doing that thing again...nevermind"
@morgangraley1049
@morgangraley1049 11 ай бұрын
Get you a guy who caresses you like Domotro caresses almost-square numbers.
@maynardtrendle820
@maynardtrendle820 11 ай бұрын
Man- this is SUCH a good maths channel! Great job, brother!😊🎉
@custard4189
@custard4189 11 ай бұрын
Ive been coming up with fun tricks for multiplying things by 15 because every morning when I make coffee I use a 15:1 coffee:water ratio by weight in grams! a fun little exercise every morning :)
@peppermann
@peppermann 11 ай бұрын
Absolutely , less memorising times tables and more patterns and intuition. Another great video ! 😊❤️👍
@daniihh
@daniihh 11 ай бұрын
you're actually becoming an arsonist omg
@ComboClass
@ComboClass 11 ай бұрын
Haha. I have gotten good at doing crazy looking things with fire in a relatively safe manner, but please don’t copy that stuff everyone :)
@swordfishxd-
@swordfishxd- 11 ай бұрын
youre first
@TymexComputing
@TymexComputing 11 ай бұрын
Yeah - these emotions and disturbances are the only factor that deters (discourages) me from watching these videos :)
@scragar
@scragar 11 ай бұрын
As a kid I never memorised the times table, I just remembered every 3rd entry. I don't need to remember 1×7, it's obviously 7. I don't need to memorise 2×7, it's obviously 7+7=14 3×7 I memorised 4×7 is just 3×7+1=21+7=28 5×7 is 6×7-7 = 42-7=35 6×7 I memorised 7×7 = 6×7+7=49 ... Memorising 144 different answers never made sense to me when I can remember about 30 and never be more than two simple addition/subtractions away from the answer. I also never liked history. So many dates to memorise and they were just meaningless to me.
@flamephlegm
@flamephlegm 11 ай бұрын
I feel like the filming has leveled up a bit and the aesthetic is really coming together with all of it. Exciting seeing shit start to really gel! As always the math is high quality infotainment, thank you D!
@juh9870_projects
@juh9870_projects 11 ай бұрын
That squirrel is my spirit animal
@stickmcskunky4345
@stickmcskunky4345 11 ай бұрын
This general idea of teaching by way of showing what patterns exist, indicating where they overlap in different representations, and then extrapolating that pattern outwards.. it's fire. It's very broadly applicable as so many patterns are overlapping and relatable across so many systems and compositions. One commenter mentioned that the only problem with teaching kids this way is that it's too much at once. I disagree to the extent that I believe that most humans, and especially some, are geared towards recognizing patterns and then seeing how they fit together and finally extrapolating what the broader system looks like.. we *want* to see how it fits together and our biology backs up that drive. There could be no foul in exposing young curious minds to some of the fundamental overarching patterns in many arenas, and I'm in agreement that it's probably the thing to do in fact.
@alikaperdue
@alikaperdue 11 ай бұрын
product = (sum/2)²-(diff/2)² product = average²-(average-smallest)² consider sum = a+b, diff = a-b, product = a×b, average = sum/2, smallest = a, for numbers a
@frank.e.underwood
@frank.e.underwood 4 ай бұрын
Most things fallen in any video of yours I've watched :) Once I memorized the primes up to 199, I felt like I could intuitively calculate all the other numbers in the cells. I memorized them because I like to count primes when I do breathwork, or am in line waiting for something, just as some fun for my brain. I never would've done it at a teachers request because I'm that kind of stubborn. Primes are the gateway drug to numbers. Math could be so fun in school if they let it be.
@philj9594
@philj9594 4 ай бұрын
It seems complicated to people, but imo using patterns is infinitely more easy than rote memorization of the entire table. In fact, it blows my mind that people actually do that. I actually didn't even learn with a table. I just gradually picked up on various patterns myself as I progressed through math. Idk why, but my school didn't even use times tables for the gifted class. Only the regular class was forced to memorize them. I guess they just assumed we'd pick it up naturally? They were right, but I think most people really don't even need the table to get good at it.
@samsibbens8164
@samsibbens8164 11 ай бұрын
You look like a member of the evil L.O.V.E.M.U.F.F.I.N. organization from Phineas and Ferb with your arch-nemesis Agent S (the squirrel)
@hurktang
@hurktang 11 ай бұрын
Thank you! now instead of doing 7x13 i can do 10x10 -3^3 because I learned that squares are squares away in the other diagonal. Can I do the opposite? like 14x14 is 10x18+16 ? Nice!
@ofconsciousness
@ofconsciousness 4 ай бұрын
This genius is a dark mage of our time, resurrecting the ancient power of math and conjuring a future where it's no longer feared, but embraced by the masses. These videos are mildly terrifying in the best way - the kind that strikes awe, reverence, and a burning curiosity soaked in eager urgency.
@codatheseus5060
@codatheseus5060 8 ай бұрын
Yep, ive got the 12x12 times table memorized from 3rd grade still Now ive got the times table (cayley table) for the sedenions which are defined by 15 imaginary axis which each square to negative one (for 15 different directions for rotation) and 1 real axis for scaling. Technically every single combination of elements of the 15x15 sized cayley table exists for some setup for sedenions, because you can change whether the element squares to negative one or positive one, and the fact that their names are entirely arbitrary. The setup i have memorized is equivalent to a matrix with the format (reals) (along the diagonal), -i, -j, -k, ... (i being the standard imaginary numbers, and you have all of them one after the other along the first row all negative) then all the imaginaries go in their respective antidiagonals and when they cross the regular diagonal they switch to positive versions of themselves. The rest of the items are actually super easy to figure out because the pattern you got from filling out the first half with the information ive given you
@R.B.
@R.B. 11 ай бұрын
I hadn't considered the almost square factors before. Looking at those diagonals reveals difference of two squares. If you know your square numbers, fanning out from them orthogonally, you just subtract square numbers for the distance from the square diagonal. That fact alone helps you figure out half the numbers in the table. As for your curve, I think it might be more clear to say greater than 100 or greater than 10. This is because you aren't going to start counting at 0 for that band, 0 being a special case. Not only will it improve the appearance of the curve, but it makes more sense logically.
@andrewgarcia6951
@andrewgarcia6951 11 ай бұрын
Love the maths... My PTSD is allergic to the banging. Will try with volume off and CC on. ❤❤❤
@SuperIdiotMan00
@SuperIdiotMan00 11 ай бұрын
I think by the end of Grade -4 the entire video will be a giant Rube Goldberg machine on fire.
@lucasbrelivet5238
@lucasbrelivet5238 8 ай бұрын
In France, we only learn tables up to nine. By the way, I don't really see how those patterns with the inverse function are useful, especially since we don't learn about functions and graphs until long after memoizing the times tables.
@rozadodelacolina
@rozadodelacolina 2 ай бұрын
Well... they only told me to memorize up to the multiplications for 10 in school, so I guess this doesn't apply to me
@ker0356
@ker0356 9 ай бұрын
15:19 I absolutely adore this cozy way of doing math on paper. Sure, computers can make accurate pictures, but it feels almost soulless
@emilyrln
@emilyrln 11 ай бұрын
Sharing this with my parents, one of whom is currently teaching 5th grade and the other of whom is a teacher's aide specializing in math for grades 3-8 or so!
@LoZander
@LoZander 10 ай бұрын
Here's s fun thing i never thought about before: if you make a rectangle from with a corner in upper left corner of the product cells, and the opposite corner at the lower right corner of some cell with number n, then n is the area of that rectangle, and the two coordinates are describe the side lengths of the rectangle. I don't know why ive never considered that before.
@ronanclark2129
@ronanclark2129 11 ай бұрын
I thought this was an Explosions & Fire video because of the thumbail with the fire, lab coat, and face
@illumina-t-info
@illumina-t-info 11 ай бұрын
this is how I learned, i never learned math the right way and learned patterns
@frederickwong4390
@frederickwong4390 9 ай бұрын
This is silly. Far too many and advanced ideas together making things complicated for kids.
@Blaineworld
@Blaineworld 11 ай бұрын
pattern i found and used as a dumb baby: for 9 times a single digit number n, the tens digit is (n - 1) and the ones digit is (10 - n)
@QASQADE9
@QASQADE9 4 ай бұрын
i watch you because you have some go content but stuff failing over and fires is going to far ( every show ) come on.
@NrgSpoon
@NrgSpoon 11 ай бұрын
I've decided 10x10 is a multiplication table, 12x12 is a times table.
@hansisbrucker813
@hansisbrucker813 4 ай бұрын
Aren't the part numbers ordinal? Wouldn't that mean that the last part isn't ∞, but ω? 🤔
@Thezaccazzac
@Thezaccazzac 11 ай бұрын
You Positively Exude Witchy Energy. From your disregard for current conventions, to your attunement with nature and your urge to breakdown and understand the world you reside within. People like you are who generate improvement around the world.
@johndickinson82
@johndickinson82 11 ай бұрын
I found that polygonal numbers form straight lines, like square numbers but different slope. Triangular numbers like 6, 10, and 15 are all in a line
@ComboClass
@ComboClass 11 ай бұрын
I have been planning some episodes about polygonal numbers for a while, which I’ll film before too long. They have tons of amazing patterns
@kzdjarrard
@kzdjarrard 11 ай бұрын
I love polygonal, polyhedral and shape forming numbers as a whole! I look forward to your video on them.@@ComboClass
@asailijhijr
@asailijhijr 11 ай бұрын
He keeps the squirrel away by throwing clocks at the ground.
@pretentiousjackal
@pretentiousjackal 11 ай бұрын
19:43 Is he trying to grow a cubic apple on the tree, in the plastic case? Or is it a message in a bottle?
@4thalt
@4thalt 11 ай бұрын
will there ever be a combo class video where nothing falls, breaks or gets set on fire?
@pasixty6510
@pasixty6510 11 ай бұрын
The biggest real life benefit of this video goes to the… you guessed it… yeah… to the squirrel 👏👌😹
@SingingWithMyself-Frozen
@SingingWithMyself-Frozen 11 ай бұрын
A little less memorisation, a little more thinking please
@nihilisticgacha
@nihilisticgacha 11 ай бұрын
I learned the multiplication table in chinese (up to twelve), and it sounds sort of like a chant since it has only one syllable for the numbers 0 to 10. i'm at the point of my life at which i rarely do mental arithmetics and old memory starts to mutate, one day I realised that my muscle memory of reciting the multiplication table betrayed me after double checking the calculation with a calculator, because it sounded right even though the numbers are wrong
@meesvandenberg9468
@meesvandenberg9468 11 ай бұрын
Fire, squirrels and math! What more do you need?
@antimatter7258
@antimatter7258 11 ай бұрын
i cant even physically imagine how dirty that entire setup must be
@awuuwa
@awuuwa 5 ай бұрын
clearly, functions beat lookup tables
@mistafizz5195
@mistafizz5195 11 ай бұрын
Bro sounds like Vsauce2 and looks like Jack Harlow.
@TymexComputing
@TymexComputing 11 ай бұрын
very nice - there are chineese combo classes where children are taught multiplying quickly (like a quick reading, tapping pencil) i am awaiting children that will be using Parseval theorem better than i :)
@DanjinSpear
@DanjinSpear 11 ай бұрын
Why the fuck wasn't I taught maths like this at school.
@grantraynard
@grantraynard 11 ай бұрын
Love your lab or studio, It design seems timeless 😅
@LordMarcus
@LordMarcus 11 ай бұрын
How has this guy's neighbors not, like, called the police, or the fire rescue, or any other myriad options, just a welfare check in his hoarder backyard with all the fire and clutter while he rants at the top of his voice about what they probably think is some sort of numerology quackery rather than the legitimate, educational mathematics quackery that it is?
@ComboClass
@ComboClass 11 ай бұрын
Haha. I’m sure a couple neighbors might hate me but I’ve talked to most of my neighbors and befriended them and so far they are all actually supportive of my strange teaching style :)
@LordMarcus
@LordMarcus 11 ай бұрын
​@@ComboClassAwesome, that's good to know. I like your videos. I can't think of any other maths instructor on YT who is doing number theory videos, very clever stuff.
@ComboClass
@ComboClass 11 ай бұрын
@@LordMarcus Thanks. There are some other channels that touch upon number theory (my favorite being Mathologer) although none of them do it in my weird style haha
@LordMarcus
@LordMarcus 11 ай бұрын
@@ComboClass I love Mathologer. I think he's out of Monash University in Australia; I think that schools is really good at education and research. I know there's more, but my brain's foggy at the moment-Jim Breen is another Monash alum, dunno if he's on KZbin but he's my go-to when I can't remember something in Japanese phrasing or parsing; plus, it's even got a full-fledged radicals lookup for kanji.
@ComboClass
@ComboClass 11 ай бұрын
@@LordMarcus Hopefully someday I'll be able to chat or collaborate with Burkard (Mathologer). He's one of my favorite math communicators of all time. I don't think he does many collaborations but maybe I'll reach out someday
@PersonallyOptimistic
@PersonallyOptimistic 4 ай бұрын
You're honestly a fantastic educator
@BlackLegVinesmokeSanji
@BlackLegVinesmokeSanji 11 ай бұрын
The squirrel was so cute The squirrel just wanted a nut
@zippydipity42
@zippydipity42 10 ай бұрын
It's good to see that the mad hatter has found a hobby.
@tristantheoofer2
@tristantheoofer2 11 ай бұрын
yo domotro so that curve you found in the times table i think is called an asymptote (but its offset by abt 1 in each direction). i could be wrong tho but yeah
@davekachel
@davekachel 11 ай бұрын
I love this backyard scientist aesthetic
@DeOxygenation_
@DeOxygenation_ 11 ай бұрын
19:42 I legit thought he took a bite out of a tennis ball
@michaelwinter742
@michaelwinter742 3 ай бұрын
Time stable? I bet you love this.
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