2011.05.06 What is the Progression of 'Big Ideas' in Mathematics
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Transcript of 2011.05.06 What is the Progression of 'Big Ideas' in Mathematics
8/6/2019 2011.05.06 What is the Progression of 'Big Ideas' in Mathematics
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Friday, 6th May 2011
@ColinTGraham Hello eFri May 06 00:02:51 +0000 2011 - tweet id 6
@mathfour I tell you, I lo
idea" anyway? #mathchat Fri May 06 00:02:54 +0000 2011 - tweet id 6
@ColinTGraham As alwwith one or two people, and remeFri May 06 00:04:13 +0000 2011 - tweet id 6
@ColinTGraham If your tor so... ;-) #mathchat Fri May 06 00:04:50 +0000 2011 - tweet id 6
@ColinTGraham Today's#mathchat Fri May 06 00:05:19 +0000 2011 - tweet id 6
@ColinTGraham So as Bwhat we think "Big Ideas" are befFri May 06 00:08:20 +0000 2011 - tweet id 6
@nykat4 @ColinTGrahaFri May 06 00:08:49 +0000 2011 - tweet id 6
@ColinTGraham @nykatin mathematics?" in case you misFri May 06 00:09:39 +0000 2011 - tweet id 6
@nykat4 @ColinTGrahaFri May 06 00:09:48 +0000 2011 - tweet id 6
@Ideas_Factory@Colinfor continental tweeps-good on yoFri May 06 00:10:05 +0000 2011 - tweet id 6
@ColinTGraham So, forme #mathchat Fri May 06 00:11:08 +0000 2011 - tweet id 6
@mathfour Are we talkin
lines? #mathchat Fri May 06 00:11:25 +0000 2011 - tweet id 6
What is the progression of
eryone, welcome to today's #mathchat 291801799143424 - #2
e #mathchat, but I get so confused at th
291814910537728 - #3
ys, if it is your first time, don't try to follober the hashtag>>#mathchat
292143278399488 - #4
eets are protected, you may want to un
292299600109568 - #5
topic is "What is the progression of 'Big
292421910216704 - #6
on (@mathfour) asked, (hi y'all!) we prore talking about progression #mathchat 293178839474176 - #8
what's the topic tonight? #mathchat 293301845835776 - #9
4 Just tweeted it out, but "What is the pred it ;-) #mathchat 293511779131392 - #10
never mind, saw topic when I scrolled293549368492032 - #11
Graham Agreed!But didn't know you didu!293620336115712 - #12
xample, "zero as a place-holder" is a bi
293884363350016 - #13
big as in cute Rene and his idea of putt
293956773818368 - #14
'Big Ideas' in Mathematics?
topics. What is a "big
everything but interact
protect them for an hour
Ideas' in mathematics?"
ably need to define
gression of 'Big Ideas'
p! #mathchat
a 'late night'#mathchat
idea (or concept) to
ing together a couple of
8/6/2019 2011.05.06 What is the Progression of 'Big Ideas' in Mathematics
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Friday, 6th May 2011
Fri May 06 00:16:09 +0000 2011 - tweet id 6
@ColinTGraham @maththey can move on to the next, moFri May 06 00:16:44 +0000 2011 - tweet id 6
@mathfour @ColinTGraof 2 and 3) #mathchat Fri May 06 00:16:48 +0000 2011 - tweet id 6
@mathfour @ColinTGraAlgebraic systems? Or just in genFri May 06 00:17:55 +0000 2011 - tweet id 6
@ColinTGraham @math
same if you switch the position ofFri May 06 00:17:55 +0000 2011 - tweet id 6
@mathfour @ColinTGra(oh - and narcissistic) #mathchat Fri May 06 00:18:17 +0000 2011 - tweet id 6
@ColinTGraham @mathFri May 06 00:18:51 +0000 2011 - tweet id 6
@LizDk High school: quasols & graph, why you can have 0Fri May 06 00:18:57 +0000 2011 - tweet id 6
@NathalieFytrou RT @Transformations #mathchat Fri May 06 00:19:36 +0000 2011 - tweet id 6
@MrHonner Operations '
Adding is (2 + 3 = 3+ 2), subtr. isnFri May 06 00:19:40 +0000 2011 - tweet id 6
@ColinTGraham @LizDgeometrically and vice versa? #mFri May 06 00:19:49 +0000 2011 - tweet id 6
@MrHonner @ColinTGraFri May 06 00:20:33 +0000 2011 - tweet id 6
@ColinTGraham @MrHoproperties or attributes are not uniFri May 06 00:20:39 +0000 2011 - tweet id 6
What is the progression of
295148413321216 - #27
our What do your students need to 'get'e advanced, topic/concept #mathchat 295296107364353 - #28
am @MrHonner Addition is commutativ
295310128918529 - #29
am What do students need to get...? Likeral? #mathchat 295592330072064 - #30
our @MrHonner OK, so for some operat
the operands... #mathchat 295592216838144 - #31
am In general? They should "get" that I'
295685938552832 - #32
our You forgot to add Texan! ;-) #mathc295828611993600 - #33
ratics is cornerstone of algebra. Need t,1,or 2 sols. #mathchat 295850615308288 - #34
rHonner: Objects --> Operations --> Str
296017020133376 - #35
ommute' if performing them in diff order
't: 2-5 <> 5-2 #mathchat 296033541492736 - #36
So maybe the bigger idea is that algebrthchat
296070447169537 - #37
ham That was hard to do in 140 - #math296255478894592 - #38
nner Yes, and students need to get thatversal... #mathchat 296278602092544 - #39
'Big Ideas' in Mathematics?
r understand before
(2+3=3+2 for all values
e wrt commutativity?
ions the result is the
freaking awesome.
at
understand link betw
ctures -->
yields same result.
can be represented
hat characters!
some of these
8/6/2019 2011.05.06 What is the Progression of 'Big Ideas' in Mathematics
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Friday, 6th May 2011
@mathfour @LizDk Ouc#mathchat Fri May 06 00:20:56 +0000 2011 - tweet id 6
@MrHonner @LizDk. Agbig "big" idea. #mathchat Fri May 06 00:21:11 +0000 2011 - tweet id 6
@LizDk Commutativity comultiplication. #mathchat Fri May 06 00:21:16 +0000 2011 - tweet id 6
@ColinTGraham @MrHofundamentals in 140 characters,
Fri May 06 00:21:31 +0000 2011 - tweet id 6
@mathfour @MrHonner Iwow!#mathchat Fri May 06 00:21:46 +0000 2011 - tweet id 6
@MrHonner @ColinTGrawhat it meant for commutativity toFri May 06 00:22:30 +0000 2011 - tweet id 6
@markbethune @LizDkis more geometric than algebraicFri May 06 00:22:54 +0000 2011 - tweet id 6
@ColinTGraham @mathquadratics rather than linear equaFri May 06 00:22:56 +0000 2011 - tweet id 6
@mathfour @LizDk This
guess you really can say geometrFri May 06 00:23:07 +0000 2011 - tweet id 6
@LizDk @ColinTGrahamgraph - comes into domain, rangeFri May 06 00:23:34 +0000 2011 - tweet id 6
@MrHonner @ColinTGrasomething teachers should thinkFri May 06 00:23:41 +0000 2011 - tweet id 6
@mathfour @ColinTGraequation/graph/set - not separate
What is the progression of
- quadratics is cornerstone of algebra.
296350253383680 - #40
eed. Inherent connections between alge
296412861771776 - #41
mes right back in high school when we l
296437046124544 - #42
nner Well done, though! If we can't explaybe we need to think again.... #mathc
296495908986880 - #43
t might be fun to try to define everything
296560065056768 - #44
ham Right. It wasn't until grad school thfail. #mathchat 296744899645440 - #45
ot sure what you mean by this??? I woumathchat 296846913503232 - #46
our @LizDk To be honest, I'd prefer to ttions... it highlights concept #mathchat 296852613570560 - #47
is why I tell parents and students that all
y is algebra. #mathchat 296899132600320 - #48
In adv alg the main idea is link between, inverses + more. #mathchat 297012630462465 - #49
ham @mathfour Agreed! It's a fun challebout all the time. #mathchat 297043513118720 - #50
am @LizDk I think everything should bethe three. #mathchat
'Big Ideas' in Mathematics?
eally? How y'figure?
ra and geometry is a
ok at matrix
in some of theseat
in <=140 -
t I really understood
ld argue that quadratics
ach graphing using
math is the same. I
the algebra and the
nge, and concision is
taught with
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Friday, 6th May 2011
Fri May 06 00:24:09 +0000 2011 - tweet id 6
@ColinTGraham @markgeometric.... wherein lies the probFri May 06 00:24:15 +0000 2011 - tweet id 6
@LizDk @markbethune ISolving, manipulating, discrim is dFri May 06 00:25:02 +0000 2011 - tweet id 6
@CutTheKnotMath @malgebraic geometry #mathchat Fri May 06 00:25:02 +0000 2011 - tweet id 6
@mathfour @ColinTGra
and you've got a nice tri-lesson #Fri May 06 00:25:13 +0000 2011 - tweet id 6
@ColinTGraham OK, soalg/geom, commutivaty.... what otFri May 06 00:25:31 +0000 2011 - tweet id 6
@markbethune @ColinTWithout linking the algebra to geoFri May 06 00:25:35 +0000 2011 - tweet id 6
@MrHonner @CutTheKncharacters. #mathchat Fri May 06 00:25:45 +0000 2011 - tweet id 6
@mathfour @ColinTGra10 system. That's a huge idea. #Fri May 06 00:26:23 +0000 2011 - tweet id 6
@ColinTGraham @CutTimportant too... Geometry is the 'hFri May 06 00:26:55 +0000 2011 - tweet id 6
@mathfour @MrHonnerin the margin. Or so he led us toFri May 06 00:27:15 +0000 2011 - tweet id 6
@MrHonner I think the biproblem into another, one structurFri May 06 00:27:36 +0000 2011 - tweet id 6
What is the progression of
297160559366146 - #51
ethune @LizDk Quadratic equations arlem if we don't present them so! #mathc297184756314112 - #52
guess it is both. But taught in Alg 1 andef algebra. #mathchat 297381892800512 - #53
thfour @LizDk Wile's proof of FLT is sai
297383784419329 - #54
am @markbethune @LizDk And then c
athchat 297430525751298 - #55
e have: zero and place-holding, quadrher 'big ideas' #mathchat 297506237124608 - #56
Graham this is true of most maths that wetry, kids wont get it #mathchat
297523463131136 - #57
otMath @mathfour @LizDk Good luck e
297564680564736 - #58
am I'm pretty impressed with the ten finathchat 297724273827840 - #59
eKnotMath @mathfour @LizDk The ordead' noun.... #mathchat 297858151809024 - #60
CutTheKnotMath @LizDk Fermat DIDelieve for 300 years! #mathchat 297940792197120 - #61
gest idea, for me anyway, is transformae into another, etc. #mathchat 298027089997824 - #62
'Big Ideas' in Mathematics?
both algebraic andat
lg 2 courses, right?
to belong to arithmetic
nsider the set of points
tics as a link between
e teach at this level.
plaining that in 140
ers creating the base
er of words there is
explain it in <140 chars
ion. Turning one
8/6/2019 2011.05.06 What is the Progression of 'Big Ideas' in Mathematics
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Friday, 6th May 2011
@ColinTGraham @mathHow often do you teach your kidsFri May 06 00:28:42 +0000 2011 - tweet id 6
@markbethune can somFri May 06 00:29:24 +0000 2011 - tweet id 6
@ColinTGraham We meand Distributability? #mathchat Fri May 06 00:29:55 +0000 2011 - tweet id 6
@CutTheKnotMath @Mrthat could be described in less thFri May 06 00:29:57 +0000 2011 - tweet id 6
@MrHonner @CutTheKnof - 1" #mathchat Fri May 06 00:31:01 +0000 2011 - tweet id 6
@ColinTGraham @mathFermat was what some of us in thFri May 06 00:31:35 +0000 2011 - tweet id 6
@CutTheKnotMath @mthat could be described in less thFri May 06 00:31:56 +0000 2011 - tweet id 6
@ColinTGraham @MrHowhat you call transformation? [avFri May 06 00:32:45 +0000 2011 - tweet id 6
@ColinTGraham @markwe are defining what we see as thFri May 06 00:33:42 +0000 2011 - tweet id 6
@MrHonner @ColinTGra"mathematical trans." and the tecFri May 06 00:34:19 +0000 2011 - tweet id 6
@CutTheKnotMath @Mrthe number I've been thinking ofFri May 06 00:34:39 +0000 2011 - tweet id 6
@mathfour @ColinTGraFri May 06 00:34:49 +0000 2011 - tweet id 6
What is the progression of
our The big concept there was the inven0, 1, 2,... do you start 1, 2 #mathchat 298304891330560 - #63
one remind me of the topic so I don't ge298482079711232 - #64
tioned commutativity... how about the ot
298610253438976 - #65
Honner @mathfour @LizDk BTW, what in 40 characters? #mathchat 298619095031810 - #66
otMath @mathfour @LizDk "whatever n
298887031361537 - #67
our @MrHonner @CutTheKnotMath @Le North would call a blagger! [TX = BSer299031885840384 - #68
thfour @MrHonner @LizDk BTW, what in 140 (sorry) characters? #mathchat 299118485643265 - #69
nner Would you accept redefinition as aiding terminology problems] #mathchat 299326812532736 - #70
ethune "What is the progression of 'Bige 'Big Ideas' first, Mark. #mathchat 299564600209408 - #71
ham Guess I'm using transformation tonique of "changing your perspective". #299719063838720 - #72
Honner "whatever number you are thinkimathchat 299802211717120 - #73
am Well, alas, I teach Daughter starting299845085888512 - #74
'Big Ideas' in Mathematics?
tion of zero, though.
t off base?#mathchat
her two? Associativity
s the smallest integer
mber you are thinking
izDk Yeah, as if!#mathchat
s the smallest integer
other way of describing
Ideas' in mathematics?"
ean bothathchat
ng of - 1" ~ but this was
with 0. #mathchat
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Friday, 6th May 2011
@ColinTGraham @mathprobably start with 1 when countiFri May 06 00:36:01 +0000 2011 - tweet id 6
@ColinTGraham @markare linked or that a picture/visualiFri May 06 00:37:18 +0000 2011 - tweet id 6
@ColinTGraham @MrHodifferentiation, I have to say I'm nFri May 06 00:38:08 +0000 2011 - tweet id 6
@mathfour @ColinTGranumbers so I can teach her to co
Fri May 06 00:38:24 +0000 2011 - tweet id 6
@oldak @ColinTGrahamPutting all fingers down to represFri May 06 00:38:33 +0000 2011 - tweet id 6
@MrHonner @CutTheKnbegan with me saying "I think 15,Fri May 06 00:38:42 +0000 2011 - tweet id 6
@halebone Hm, don't lootrue? How num 0 - 9 got their shaFri May 06 00:38:45 +0000 2011 - tweet id 6
@ColinTGraham OK, spFri May 06 00:39:01 +0000 2011 - tweet id 6
@CutTheKnotMath A regroup, you always get the same rFri May 06 00:39:32 +0000 2011 - tweet id 6
@MrHonner What aboutetc.#mathchat Fri May 06 00:39:51 +0000 2011 - tweet id 6
@mathfour @ColinTGraFri May 06 00:39:55 +0000 2011 - tweet id 6
@ColinTGraham @oldaktwoness and threeness etc. is cerFri May 06 00:40:08 +0000 2011 - tweet id 6
What is the progression of
our That is probably uncommon though,g... 0 as a 'Big Idea' is lost #mathchat 300147738488832 - #75
ethune So what is the big idea here... isation is important? #mathchat 300469470969856 - #76
nner Yes, well I always have problems tt talking about calculus! #mathchat 300679177781248 - #77
am I'm really trying to figure out how to "nt from -3. #mathchat
300747817558016 - #78
@mathfour Don't most kids start countinnt 0 must be 2ndary. #mathchat 300785276895232 - #79
otMath This reminds me of the chat I ha00 is the biggest number". #mathchat 300822576824320 - #80
k like the arabic num I std in Egypt MTe http://bit.ly/kHUnlt #mathchat
300833704329216 - #81
aking of calculus.... is that a big idea? #300903992475648 - #82
lly big idea is that, however you count thsult #mathchat well, with a proviso301032942141440 - #83
modeling" as a 'big idea'? Interpreting, r
301110985572352 - #84
am Calculus is dumb. #mathchat 301127263649792 - #85
@mathfour It may be secondary, recogainly fundamental #mathchat 301182326480896 - #86
'Big Ideas' in Mathematics?
since most parents
it that alg and geom
lking about
display" negative
g with their fingers?
with my niece,which
davidwees: Is this
athchat
e number of objects in a
fining, altering,
izing oneness and
8/6/2019 2011.05.06 What is the Progression of 'Big Ideas' in Mathematics
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Friday, 6th May 2011
@mathfour @ColinTGrathe thing that lets us know that TeFri May 06 00:40:21 +0000 2011 - tweet id 6
@markbethune @ColinTimpt for stud at this level. This is eFri May 06 00:40:46 +0000 2011 - tweet id 6
@ColinTGraham @oldakthing in terms of manipulating nuFri May 06 00:41:12 +0000 2011 - tweet id 6
@mathfour @oldak @Cobe negatives. Husband didn't agr
Fri May 06 00:41:22 +0000 2011 - tweet id 6
@markbethune @ColinTthan when I went to school #mathFri May 06 00:41:31 +0000 2011 - tweet id 6
@LizDk Calculus itself iscurved function by zooming in, isFri May 06 00:41:41 +0000 2011 - tweet id 6
@ColinTGraham @mathdown... -3, -2, -1, 0, then start putFri May 06 00:42:39 +0000 2011 - tweet id 6
@mathfour @ColinTGraFri May 06 00:43:26 +0000 2011 - tweet id 6
@ColinTGraham @CutTbase... #mathchat Fri May 06 00:43:39 +0000 2011 - tweet id 6
@mathfour RT @CutThenumber of objects in a group, youFri May 06 00:44:04 +0000 2011 - tweet id 6
@MrHonner @LizDk @mcontinuous from discrete snapshoFri May 06 00:44:17 +0000 2011 - tweet id 6
@ColinTGraham @MrHounless you are suggesting constrFri May 06 00:44:33 +0000 2011 - tweet id 6
What is the progression of
am Okay, maybe calculus isn't dumb, wxas is the biggest. #mathchat 301238316244992 - #87
Graham of course alg and geo are linkedssence of tech use #mathchat 301343966568448 - #88
@mathfour However, using zero as a plbers... It's not intuitive. #mathchat 301451235885056 - #89
linTGraham I figured counting on someoe. #mathchat
301494697271296 - #90
Graham tech allows studs to visuallize thhat
301532005613568 - #91
ot a big idea. Idea that we can get the sbig idea. #mathchat
301571654369280 - #92
our Counting from -3, start with 3 fingersing fingers up => directed #mathchat 301815796416512 - #94
am I like it! #mathchat 302014048579584 - #95
eKnotMath You do need to assume a 'c
302066708070402 - #96
KnotMath: A really big idea is that, howealways get the same result #mathchat 302172605845504 - #97
athfour S. Strogatz describes calculus ats, as a film. Big idea! #mathchat 302226397806592 - #98
nner Modeling is more about methodoloction of mathematical models? #mathch302294148399104 - #99
'Big Ideas' in Mathematics?
en I calm down. It is
but the picture is also
aceholder is a 'huge'
ne else's fingers could
e maths. far different
lope at a point for a
up and take them
ounting system' or
er you count the
piecing together the
y or teaching practice,at
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Friday, 6th May 2011
@ColinTGraham @mathnumber" when talking about +veFri May 06 00:45:36 +0000 2011 - tweet id 6
@oldak @ColinTGrahamRight hand: 1 (thumb) to 5 (pinkieFri May 06 00:46:03 +0000 2011 - tweet id 6
@CutTheKnotMath @Cobase... Why? Just state consistenFri May 06 00:46:07 +0000 2011 - tweet id 6
@ColinTGraham @marklinked to recognizing numbers of t
Fri May 06 00:47:14 +0000 2011 - tweet id 6
@MrHonner @ColinTGraproblem--how to interpret, represFri May 06 00:48:00 +0000 2011 - tweet id 6
@ColinTGraham @oldaknumbers have a position AND a dFri May 06 00:48:11 +0000 2011 - tweet id 6
@ColinTGraham @CutToneness, twoness, etc. is certainlFri May 06 00:49:18 +0000 2011 - tweet id 6
@CutTheKnotMath @Coprepared to share the laurels #maFri May 06 00:50:32 +0000 2011 - tweet id 6
@ColinTGraham @MrHo
many ways and visualizing. It maFri May 06 00:50:34 +0000 2011 - tweet id 6
@teachersharetp RT @kfun!http://bit.ly/i4DLqg #mathchat Fri May 06 00:51:34 +0000 2011 - tweet id 6
@earlsamuelson @maththemselves! #mathchat Fri May 06 00:51:45 +0000 2011 - tweet id 6
@ColinTGraham @CutTdefining or noticing patterns is a b
What is the progression of
our It also supports the mathematician'snd -ve integers etc. #mathchat 302559954010112 - #100
@mathfour Hold up both hands, palms, left: -1 (thumb)... #mathchat 302673342828544 - #101
linTGraham You do need to assume a 'c#mathchat Important that magnitude ex
302686907203584 - #102
ethune I think that visualization is a 'bighings... #mathchat
302969032880128 - #103
ham I'm thinking of modeling as the waynt, and solve it. #mathchat 303161517875200 - #104
@mathfour That would work too, the unirection maybe? #mathchat 303207604887553 - #105
eKnotMath The concept of magnitude,very important/big idea #mathchat
303490850430976 - #106
linTGraham what I referred to as onenesthchat 303799245029376 - #107
nner OK, that's maybe a combination of
be farther along... #mathchat 303810716446720 - #108
bkonnected: 60+ math sites for makingspedchat #elemchat #edchat
304060378189825 - #109
four I like showing negative numbers as
304107165646848 - #110
eKnotMath ;-) Grouping like and separaig idea too, maybe! #mathchat
'Big Ideas' in Mathematics?
jargon of "directed
ut as a number line?
ounting system' orists
idea', and probably
one interacts with a
erlying idea being that
hat I referred to as
s, twoness, etc. ~ I am
defining a problem in
ath
ransformations
ing unlike as part of
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Friday, 6th May 2011
Fri May 06 00:51:55 +0000 2011 - tweet id 6
@ColinTGraham TBH, ifor twenty-one would be written asFri May 06 00:53:44 +0000 2011 - tweet id 6
@oldak @CutTheKnotM"2ness", "3ness", etc... are 2nd orFri May 06 00:53:47 +0000 2011 - tweet id 6
@LiveBinders RT @kbk#mathchat #spedchat #elemchat Fri May 06 00:54:01 +0000 2011 - tweet id 6
@ColinTGraham @oldak
several approach, too. The key pFri May 06 00:55:01 +0000 2011 - tweet id 6
@MrHonner How big an iFri May 06 00:55:55 +0000 2011 - tweet id 6
@ColinTGraham OK, fivlet alone the progression... ;-) #mFri May 06 00:56:10 +0000 2011 - tweet id 6
@ColinTGraham Hmm, iHow big an idea do you think "infiFri May 06 00:56:58 +0000 2011 - tweet id 6
@CutTheKnotMath @Mrone? #mathchat Fri May 06 00:57:40 +0000 2011 - tweet id 6
@mathfour Sorry y'all. D
Husband to tuck her in. #mathchaFri May 06 00:58:46 +0000 2011 - tweet id 6
@CutTheKnotMath @Mr#mathchat Fri May 06 00:59:06 +0000 2011 - tweet id 6
@mathfour @ColinTGraFri May 06 00:59:08 +0000 2011 - tweet id 6
@ColinTGraham OK, togrouping=>counting, zero as placFri May 06 01:00:02 +0000 2011 - tweet id 6
What is the progression of
304148617961472 - #111
I had my way, either the coordinate syst12...! #mathchat 304605591580672 - #112
th @ColinTGraham Isn't concept of "1neer? #mathchat
304619395035136 - #113
nnected: 60+ math sites for making matedchat 304676215271425 - #114
@CutTheKnotMath You could argue th
int is the grouping, though #mathchat 304929568006144 - #116
ea do you think "infinity" is? #mathchat 305153669677058 - #117
minutes to go and we haven't even defithchat 305218878513152 - #118
infinity bigger than zero, as big as zeroity" is? #mathchat 305420309962752 - #119
Honner what I referred to as oneness, tw
305595698982912 - #120
ughter's losing her mind not wanting to
t 305872057466880 - #121
Honner How big an idea do you think "in
305955524120576 - #122
am This is definitely a fun topic, though!305964944535552 - #123
ummarize... commutativity, quadratics aholder, infinity, calculus #mathchat 306189323010048 - #124
'Big Ideas' in Mathematics?
m would be reversed,
ss" fundamental, where
fun!http://bit.ly/i4DLqg
t. There is the one, two,
ed all of the 'Big Ideas'
or... ;-) RT @MrHonner:
oness, etc. ~ Which
o to sleep without
inity" is? ~ Which one?
#mathchat
s basis for algebra,
8/6/2019 2011.05.06 What is the Progression of 'Big Ideas' in Mathematics
http://slidepdf.com/reader/full/20110506-what-is-the-progression-of-big-ideas-in-mathematics 11/11
Friday, 6th May 2011
@oldak @ColinTGrahammagnitude represent? #mathchat Fri May 06 01:00:46 +0000 2011 - tweet id 6
@MrHonner @CutTheKnFri May 06 01:00:49 +0000 2011 - tweet id 6
@ColinTGraham visualizproblems), anything else to add toFri May 06 01:01:14 +0000 2011 - tweet id 6
@MrHonner @ColinTGra#mathchat Fri May 06 01:01:31 +0000 2011 - tweet id 6
@CutTheKnotMath @Mrof them #mathchat Fri May 06 01:01:41 +0000 2011 - tweet id 6
@ColinTGraham @oldakideas, getting into the sematics ofFri May 06 01:02:21 +0000 2011 - tweet id 6
@ColinTGraham Well, Ithanks for your contributions, oncFri May 06 01:03:38 +0000 2011 - tweet id 6
@ColinTGraham We'll se#mathchat Fri May 06 01:04:29 +0000 2011 - tweet id 6
@MrHonner Thanks, @CMonday's#mathchat.Fri May 06 01:05:06 +0000 2011 - tweet id 6
@ColinTGraham You cayou like... and today's archive shoFri May 06 01:06:26 +0000 2011 - tweet id 6
@ColinTGraham BTW, ifback and 'tart up' some older oneFri May 06 01:08:31 +0000 2011 - tweet id 6
What is the progression of
When you say that an "idea" is "big", wh
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otMath Seems like you agree that infinity306387080261632 - #126
tion, modeling (combining visualizationthe list before we end? ;-) #mathchat 306493036756992 - #127
ham @mathfour I agree: a fun topic, but
306562582515712 - #128
Honner Seems like you agree that infinit
306608187179008 - #129
Ah, well given that we didn't get on to di'Big' may be tricky! #mathchat 306772209631232 - #130
uess today's topic has got us all beat! Jagain! #mathchat
307097670860800 - #131
e how we get on with this on Monday, w
307309927804929 - #132
olinTGraham, and others. Maybe we'll s
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vote on next week's topic http://bit.ly/e7uld be online by Sat. #mathchat 307802095824896 - #134
you like the format of the archives now, ltoo! #mathchat
308324840312832 - #135
'Big Ideas' in Mathematics?
at property does that
is a big idea.#mathchat
ith redefining
hard to get a grasp on.
is a big idea. I do; all
scussing progression of
st for a change...
en we come back to it!
lve this on
2g8r (yes, already!) if
et me know... I may go