8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
@ColinTGraham Hello eFri Jun 10 00:01:10 +0000 2011 - tweet id 78
@ColinTGraham If it's yo
one or two people. Don't forget thFri Jun 10 00:02:02 +0000 2011 - tweet id 78
@ColinTGraham If you hso it gets picked up.Fri Jun 10 00:02:34 +0000 2011 - tweet id 78
@NatBanting @ColinTGvery little to math; maybe a hint?Fri Jun 10 00:03:19 +0000 2011 - tweet id 78
@ColinTGraham Today'sdeeper thinking skills it develops?Fri Jun 10 00:03:29 +0000 2011 - tweet id 78
@stefras What do you mthinking in one manner or anotherFri Jun 10 00:03:36 +0000 2011 - tweet id 78
@delta_dc RT @ColinTGcurriculum for the deeper thinkingFri Jun 10 00:04:17 +0000 2011 - tweet id 78
@ColinTGraham @stefrwas not mine though! #mathchatFri Jun 10 00:05:08 +0000 2011 - tweet id 78
@NatBanting @stefras panswer as a necessity. diff b/w scFri Jun 10 00:05:10 +0000 2011 - tweet id 78
@stefras @NatBanting Sencountered this in a curriculum cFri Jun 10 00:05:20 +0000 2011 - tweet id 78
@stefras @NatBanting Ilinear route/schema to one. #matFri Jun 10 00:06:27 +0000 2011 - tweet id 78
@ColinTGraham I don'tthought... maybe the question is dFri Jun 10 00:06:53 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
eryone, and welcome to today's #mathc974953768239104 - #1
ur first time, don't try to keep up with eve
hashtag! --> #mathchat975169498054656 - #2
ve to do a long tweet, put #mathchat so
975305439657984 - #3
aham I definitely get the feeling that stanmathchat
975493453512705 - #4
topic is: "Is Mathematics unique in the"#mathchat975533504933888 - #5
an by deeper thinking? #mathchat. All s.975563821350913 - #6
raham: Today's topic is: "Is Mathematicsskills it develops?" #mathchat975737201303552 - #7
s I know what I mean by "deeper thinkin
975948829102080 - #8
eople view math's deep thinking as lineaool and real math? #mathchat
975959163875329 - #9
andard school PD extends to Universityourse. #mathchat976001056583680 - #10
elieve that real math does not ALWAYSchat
976282381127680 - #11
isagree that all subjects require more thoes mathematics require it? #mathchat976391126855680 - #12
r thinking skills it develops?
hat
ryone, just interact with
mewhere near the start,
dard school PD relates
ider curriculum for the
bjects encourage deep
unique in the wider
"... original question
. They see a future
ed courses as well. I
have an answer nor a
n surface level
8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
@ekendriss RT @ColinTcurriculum for the deeper thinkingFri Jun 10 00:07:20 +0000 2011 - tweet id 78
@NatBanting @stefrasALWAYS does. every "deep thouFri Jun 10 00:07:39 +0000 2011 - tweet id 78
@NatBanting @stefras tFri Jun 10 00:07:54 +0000 2011 - tweet id 78
@stefras @ColinTGrahamove beyond given questions anFri Jun 10 00:08:00 +0000 2011 - tweet id 78
@ColinTGraham Or shothinking as it is about teaching 'nuFri Jun 10 00:08:04 +0000 2011 - tweet id 78
@stefras Me too. RT @N#mathchatFri Jun 10 00:08:45 +0000 2011 - tweet id 78
@stefras @ColinTGrahathinking; numbers are a cover stoFri Jun 10 00:09:51 +0000 2011 - tweet id 78
@ColinTGraham Do weon what mathematics is about? #Fri Jun 10 00:10:01 +0000 2011 - tweet id 78
@NatBanting ergh... havwill catch the archive.Fri Jun 10 00:10:03 +0000 2011 - tweet id 78
@ColinTGraham @NatBFri Jun 10 00:10:34 +0000 2011 - tweet id 78
@stefras @ColinTGraha#mathchatFri Jun 10 00:10:41 +0000 2011 - tweet id 78
@park_star @NatBantinsubjects promote deep & critical tFri Jun 10 00:10:54 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
Graham: Today's topic is: "Is Mathematiskills it develops?" #mathchat976505060933632 - #13
e too; answers lead to more questions.ht" in my curriculum is measurable. #m976583456653312 - #15
at misconception annoys me quite a bit976646417367040 - #16
I think it does. Without being able to ansolutions. #mathchat
976673286078464 - #17
ld mathematics be as much about teachmber'? #mathchat976688322654208 - #18
atBanting: @stefras that misconception
976861631291393 - #19
I think math should be ABOUT teachiny. #mathchat977136014278656 - #20
eed to teach thinking skills to help moreathchat
977179391766528 - #21
to leave #mathchat waaaaay too early.
977188879269888 - #22
nting Come back on Monday if you can977317334036480 - #23
Yes. That is what math is about. re tea
977348485124096 - #24
I don't think math is unique in any of it'sinking #mathchat
977403535368192 - #25
r thinking skills it develops?
s unique in the wider
ut school maththchat
mathchat
swer "why", we cannot
ing different ways of
nnoys me quite a bit
different ways of
students get a handle
just getting started. I
Nat! #mathchat
hing thinking skills.
"thinking skills" all
8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
@stefras @ColinTGrahaFri Jun 10 00:11:03 +0000 2011 - tweet id 78
@stefras @park_star I a
#mathchatFri Jun 10 00:11:53 +0000 2011 - tweet id 78
@ColinTGraham @parkskills are developed, not just requiFri Jun 10 00:12:09 +0000 2011 - tweet id 78
@LizDk#mathchat Hi evteachers would also argue the caFri Jun 10 00:13:08 +0000 2011 - tweet id 78
@stefras Oops. TweetDe@stefras: @ColinTGraham See yFri Jun 10 00:13:19 +0000 2011 - tweet id 78
@ColinTGraham Not nec@colintgraham isn't that the premFri Jun 10 00:13:21 +0000 2011 - tweet id 78
@lauradafinch#mathcha6000-2409, even tho we'd done itFri Jun 10 00:13:27 +0000 2011 - tweet id 78
@LizDk#mathchat I like iand also between subjectsFri Jun 10 00:13:45 +0000 2011 - tweet id 78
@stefras @ColinTGrahaneed to narrow our definition to aFri Jun 10 00:14:40 +0000 2011 - tweet id 78
@ColinTGraham Let's jusubject with deep thinking skills...Fri Jun 10 00:14:47 +0000 2011 - tweet id 78
@LizDk#mathchat MYPfor getting kids to justify rules, conFri Jun 10 00:15:13 +0000 2011 - tweet id 78
@lauradafinch#mathchayou understand, you see relationsFri Jun 10 00:15:31 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
See you later Nat. #mathchat977441112141824 - #26
ree. To me teaching thinking skill is wha
977648671461376 - #27
star The question here, though, is wherered... #mathchat977715411230720 - #28
ryone I am Liz. Math is about thinking de for their discipline.
977965546938369 - #29
ck moved on me. It does that quitte oftenou later Nat. #mathchat#mathchat978010224668672 - #30
essarily... eg art, drama RT @park_star:ise of any learning? (ideally anyway?) #978017170427904 - #31
t Last wk one of my 5th gr's couldn't tellall year. All he has is rote memory978043665850370 - #32
most when kids can identify connection
978119494668288 - #33
I would art and drama also require deeype of deep thinkin #mathchat
978349053120512 - #34
t clarify that we are not saying that math#mathchat978380371984384 - #35
riteria B (investigating patterns) & D(reflnect ideas etc978487926521856 - #36
t I'd argue that if you memorize, you canhips and patterns, etc978562228617216 - #38
r thinking skills it develops?
education is all about.
those deeper thinking
eply, but other subject
. @NatBanting. RT
@stefrasathchat
e AT ALL how to do
between math topics
p thinking. Perhaps we
ematics is the only
ction in math) are great
only do one thing. But if
8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
@ColinTGraham The poirequirement in mathematics thanFri Jun 10 00:15:44 +0000 2011 - tweet id 78
@stefras RT @lauradafinone thing. If you understand, youFri Jun 10 00:16:09 +0000 2011 - tweet id 78
@ColinTGraham @stefr'deep thinking' may be consideredFri Jun 10 00:17:16 +0000 2011 - tweet id 78
@stefras @ColinTGrahaof a requiement for math than for
Fri Jun 10 00:17:18 +0000 2011 - tweet id 78
@LizDk @stefras @Colindeeper thinking than other subjecFri Jun 10 00:18:02 +0000 2011 - tweet id 78
@lauradafinch thx @steftransfers to all other subjects. #mFri Jun 10 00:18:03 +0000 2011 - tweet id 78
@stefras @ColinTGrahaour question now? #mathchatFri Jun 10 00:19:05 +0000 2011 - tweet id 78
@ColinTGraham @laurathinking, which I see as a higher lFri Jun 10 00:19:07 +0000 2011 - tweet id 78
@LizDk @stefras @Colin
depth of thought, also scientific aFri Jun 10 00:19:18 +0000 2011 - tweet id 78
@stefras @ColinTGrahaFri Jun 10 00:19:30 +0000 2011 - tweet id 78
@LizDk @stefras @Colinstudents?"? #mathchatFri Jun 10 00:19:57 +0000 2011 - tweet id 78
@stefras @LizDk I thinkdeep thinking. #mathchatFri Jun 10 00:20:41 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
nt is that being able to think on deeper leay be the case in other subjs #mathch
978616549064726 - #40
ch: #mathchat I'd argue that if you memee relationships and patterns978723839352832 - #41
s Art, drama, music work as much on extoo cerebral for some artists #mathchat
979003532316672 - #42
If that is our definition, then I say NO dther subjects. #mathchat
979013112111104 - #43
TGraham #mathchat yes I agree - we cas979198676504576 - #44
ras! i teach logic and reasoning as part othchat
979202761768960 - #45
In the light that deep thinking is not sp
979459935518721 - #46
afinch Memorization is more about cogvel process #mathchat
979469540458496 - #47
TGraham #mathchat surely analysing a
alysis, plus more979515648454656 - #48
Agreed, memorization is not deep thin979565833289728 - #49
TGraham How about "how do we foster
979677682810881 - #50
e already agreed that math is not the o
979861493977089 - #51
r thinking skills it develops?
vels is more of at
rize, you can only do
pression of emotion,
ep thinking is not more
nnot claim to require
f curriculum, in part so it
cial to math, what is
itive load, rather than
ext in English requires
ing. #mathchat
eep thinking in our
ly subject that requires
8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
@stefras @LizDk So hoFri Jun 10 00:20:48 +0000 2011 - tweet id 78
@ColinTGraham @stefr
thinking skills *developed* in matFri Jun 10 00:21:00 +0000 2011 - tweet id 78
@stefras @ColinTGrahaencouraged by Problem solving aFri Jun 10 00:21:58 +0000 2011 - tweet id 78
@stefras @ColinTGrahateaching. #mathchatFri Jun 10 00:22:26 +0000 2011 - tweet id 78
@LizDk#mathchat Deepthought rather than breadth of coFri Jun 10 00:22:34 +0000 2011 - tweet id 78
@stefras @LizDk Ah. Buneed to combine depth and breadFri Jun 10 00:23:26 +0000 2011 - tweet id 78
@lauradafinch#mathchaon their thinking and understandinFri Jun 10 00:23:54 +0000 2011 - tweet id 78
@LizDk#mathchat imporin a lack of depth of thought. InveFri Jun 10 00:24:22 +0000 2011 - tweet id 78
@ColinTGraham @LizDhigher in terms of cognitive load.Fri Jun 10 00:24:32 +0000 2011 - tweet id 78
@malynmawby Just thindeep thinkers. there is a connectiFri Jun 10 00:24:46 +0000 2011 - tweet id 78
@stefras @lauradafinch#mathchatFri Jun 10 00:24:50 +0000 2011 - tweet id 78
@LizDk @stefras #mathcconnections are a vital part of theFri Jun 10 00:25:14 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
does math use or encourage deep thin979891185455104 - #52
s The question still remains, as in the be
ematics? #mathchat979942511149056 - #53
So it is a teaching question. I think deed rich tasks, but not drill #mathchat
980187311718400 - #54
SO the answer is yes and no dependin
980305171660800 - #55
thinking happens in math as long as thetent.980336096260096 - #56
connections can be made with breadthth strategically. #mathchat980553608663040 - #57
t @lizdk it also has to prevent children frg to "get it right"980671560876032 - #58
ant to vary assessment tasks. Tests andtigations are good.
980789106249728 - #59
Being able to analyse and reason deduasis of mathematics? #mathchat
980831984619520 - #60
... a lot of the mathematicians of old wern. #mathchat
980893011738624 - #61
o how DO we develop deep thinking? S
980907561783296 - #62
hat re breadth. Yes of course. All aboutthinking we want.981007243624449 - #63
r thinking skills it develops?
ing? #mathchat
ginning: are the deeper
per thinking is
g on how one is
syllabus allows depth of
f content. I think we
m memorizing and rely
quizzes only, can result
tively (justify) are much
e also philosophers, i.e.
top memorization?
alance. I agree that
8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
@malynmawby @stefrasa blog post on this, in fact. #mathFri Jun 10 00:25:35 +0000 2011 - tweet id 78
@ColinTGraham @stefrbeing the place where analytic thiFri Jun 10 00:25:59 +0000 2011 - tweet id 78
@LizDk @ColinTGrahamthough, kids survive on algorithmFri Jun 10 00:26:26 +0000 2011 - tweet id 78
@stefras @malynmawbydifferently in that continuum from
Fri Jun 10 00:26:39 +0000 2011 - tweet id 78
@malynmawby @LizDkorder process that many struggleFri Jun 10 00:26:39 +0000 2011 - tweet id 78
@lauradafinch#mathchaFri Jun 10 00:26:48 +0000 2011 - tweet id 78
@malynmawby @stefrasFri Jun 10 00:27:31 +0000 2011 - tweet id 78
@stefras @lauradafinchFri Jun 10 00:27:39 +0000 2011 - tweet id 78
@ColinTGraham @lauraunderstand (according to Bloom,Fri Jun 10 00:27:57 +0000 2011 - tweet id 78
@malynmawby interestinlater.Fri Jun 10 00:28:32 +0000 2011 - tweet id 78
@republicofmath Oh deFri Jun 10 00:28:50 +0000 2011 - tweet id 78
@stefras @ColinTGrahaBut in math, I think deep thinking i
Fri Jun 10 00:28:59 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
@lauradafinch it is not either or? needhat
981096842330112 - #64
s That comes back to whether or not weking *should* be developed... #mathch981198696812544 - #65
#mathchat yes justify is the big deal. If tmath without justifying.981310173032448 - #66
I agree. We need both. It is a continumoncept to concept. #mathchat
981363813974016 - #67
stefras making connections require traith - teachers can facilitate #mathchat
981366619963392 - #68
t true understanding of concepts leads t981401034244097 - #69
variety in pedagogy is good. in fact, ess981581141843969 - #70
o deep thinking leads to drill (lower) thin981617409994753 - #71
afinch You probably cannot analyse, thnyway) #mathchat
981691510751232 - #72
g #mathchat but have got to dock out no
981840790233088 - #73
r! Missed #mathchat. Out to dinner with981914463186944 - #74
Mathematics is A place where deep ths the holy grail. #mathchat
981954149691392 - #75
r thinking skills it develops?
oth I think...working on
see mathematics ast
o busy with content,
nd teachers "teach"
sference - a higher
fluency.
ntial, imho. #mathchat
king? #mathchat
ugh, unless you
w. will look back again
wife and father-in-law.
inking can be developed.
8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
@LizDk @ColinTGrahamagain, not unique. English has lotFri Jun 10 00:29:20 +0000 2011 - tweet id 78
@stefras @malynmawbyFri Jun 10 00:29:31 +0000 2011 - tweet id 78
@ColinTGraham @repuGary! #mathchatFri Jun 10 00:29:33 +0000 2011 - tweet id 78
@stefras @republicofmatFri Jun 10 00:29:45 +0000 2011 - tweet id 78
@ColinTGraham @stefrsubject is about? #mathchatFri Jun 10 00:30:47 +0000 2011 - tweet id 78
@republicofmath Not sothought. #mathchatFri Jun 10 00:30:51 +0000 2011 - tweet id 78
@stefras Okay, I think we
subjects. We are asked how it isFri Jun 10 00:31:13 +0000 2011 - tweet id 78
@stefras @ColinTGraha#mathchatFri Jun 10 00:31:58 +0000 2011 - tweet id 78
@republicofmath My puYou'll have to come back on MonFri Jun 10 00:32:27 +0000 2011 - tweet id 78
@LizDk @stefras #mathcconnections eg diff fns, solving apFri Jun 10 00:32:31 +0000 2011 - tweet id 78
@stefras @republicofmatthought in math. Always expect itFri Jun 10 00:32:40 +0000 2011 - tweet id 78
@ColinTGraham @stefrdevelop the deeper thinking as aFri Jun 10 00:32:58 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
@stefras #mathchat yes analysing v imof analysis, also sci and ss.
982039273095168 - #76
See you later. #mathchat982084647063552 - #77
licofmath Tsk, tsk! You'll have to come
982095292219392 - #78
h Just starting. #mathchat982143451201536 - #79
s Not so much the holy grail, more the e
982405326778368 - #80
sure deep thinking is it - rather persisten
982421613264896 - #81
have determined that deep thinking/Blo
eveloped in math. #mathchat982512977784833 - #82
Ran out of words. Holy grail first think t
982703113977856 - #83
ishment for two glasses of shiraz @Coliay then #mathchat
982825428254720 - #84
hat Math uses deep thinking in justifying,plications eg rates of change982841874132992 - #85
h Yes. Kids and adults do miss the persio be quick. #mathchat
982879106969600 - #86
s And also whether mathematics is uniqore part of the subject. #mathchat
982954449252353 - #87
r thinking skills it develops?
ortant in math. But
ack on Monday then,
ssence of what the
ce and sustained
ms is essential to all
hat cam to mind.
TGraham Tsk, tsk!
communicating
tence and sustained
e in that need to
8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
@republicofmath Thing ismall. Build from there. SustainedFri Jun 10 00:34:03 +0000 2011 - tweet id 78
@ColinTGraham "Is Matskills it develops?" No, but changFri Jun 10 00:34:09 +0000 2011 - tweet id 78
@stefras @ColinTGrahawe?#mathchatFri Jun 10 00:34:10 +0000 2011 - tweet id 78
@stefras @ColinTGraha#mathchat
Fri Jun 10 00:35:18 +0000 2011 - tweet id 78
@ColinTGraham "Is Matskills it requires?" to spell it out...Fri Jun 10 00:36:00 +0000 2011 - tweet id 78
@republicofmath Mathekaleidoscope of techniques. #matFri Jun 10 00:36:04 +0000 2011 - tweet id 78
@jmcyap RT @republicotogether a kaleidoscope of techniFri Jun 10 00:36:28 +0000 2011 - tweet id 78
@ColinTGraham @repupoint where technique needs to bFri Jun 10 00:37:09 +0000 2011 - tweet id 78
@stefras @republicofmat
empasizing problem solving, fromFri Jun 10 00:37:15 +0000 2011 - tweet id 78
@ngpestelos RT @reputogether a kaleidoscope of techniFri Jun 10 00:37:34 +0000 2011 - tweet id 78
@stefras @republicofmatdetermined that you can't learn grFri Jun 10 00:38:02 +0000 2011 - tweet id 78
@ColinTGraham @repuemotional involvement... Mathem
cs unique in the wider curriculum for the deep
s, to succeed in #math, find some provathought is key #mathchat
983226340802561 - #88
ematics unique in the wider curriculum fdevelops to requires? #mathchat983253360508928 - #89
I think we have detemined it is not uniq
983256527212545 - #90
Sorry. What do you mean by "change
983542155128832 - #91
ematics unique in the wider curriculum fmathchat
983717204410368 - #92
atics is like aikido, Practice basics. Strichat
983733755133952 - #93
math: Mathematics is like aikido, Practicues. #mathchat
983837421547520 - #94
licofmath The same can be said of anytreplaced by something else tho' #math
984007475404800 - #95
h In Western Canada, we are getting ou
which need for ... #mathchat984034318942209 - #96
licofmath: Mathematics is like aikido, Prues. #mathchat
984110391042048 - #97
h ... skills developes. There is a drawbacmmar by writing essays. #mathchat
984229832241153 - #98
licofmath Musicians, artists, actors, etc.ticians? clarity of thought? #mathchat
r thinking skills it develops?
le fact, no matter how
r the deeper thinking
ue, haven't
evelops to requires?"
r the deeper thinking
g together a
e basics. String
ing, there comes ahat
of practicing skills and
ctice basics. String
k . It has been
are expected to show
8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
Fri Jun 10 00:38:10 +0000 2011 - tweet id 78
@Benwturner Can we intskills that Maths is best predisposFri Jun 10 00:38:54 +0000 2011 - tweet id 78
@ColinTGraham Paul MBeethoven... doesn't stop him beiFri Jun 10 00:39:10 +0000 2011 - tweet id 78
@stefras @ColinTGraha@davidwees and @rvdemerchanFri Jun 10 00:39:38 +0000 2011 - tweet id 78
@dmarain Perhaps one c
math IS problem-solving! #mathcFri Jun 10 00:39:40 +0000 2011 - tweet id 78
@republicofmath @Colion reflection and development. #Fri Jun 10 00:40:04 +0000 2011 - tweet id 78
@stefras @ColinTGrahamusic. #mathchatFri Jun 10 00:40:06 +0000 2011 - tweet id 78
@stefras RT @dmarain:areas, but math IS problem-solvinFri Jun 10 00:40:35 +0000 2011 - tweet id 78
@LizDk @ColinTGrahamcannot say that music, arts etc doFri Jun 10 00:41:02 +0000 2011 - tweet id 78
@ColinTGraham @BenFri Jun 10 00:41:03 +0000 2011 - tweet id 78
@souzatharsis RT @reptogether a kaleidoscope of techniFri Jun 10 00:41:42 +0000 2011 - tweet id 78
@republicofmath @ColiPowerful, Can turn people into lotFri Jun 10 00:42:10 +0000 2011 - tweet id 78
@ColinTGraham @LizDbeing a good artist vs being a goo
cs unique in the wider curriculum for the deep
984261683785728 - #99
erpret this question differently. Are thereed to develop? #mathchat984449764757504 - #100
Cartney would be totally crap at analysig a good songwriter though #mathchat
984514260582400 - #101
Interesting analogy. I just participated iabout Mathematician's ... #mathchat
984633810825216 - #102
an apply problem-solving strategies to al
at984641893244928 - #103
TGraham Didn't mean focus on techniqathchat
984741939986432 - #104
... Lament that touches on math being
984750366339072 - #105
erhaps one can apply problem-solvingg! #mathchat984870025641985 - #106
#mathchat Some create music, some anot involve analysis.
984985163464704 - #107
turner Or that maths has to develop... #984989290676224 - #108
ublicofmath: Mathematics is like aikido,ues. #mathchat
985152558145536 - #109
TGraham Thrill of discovery in #math iss-eaters (= mathematicians) #mathchat
985271802208257 - #110
Never said they didn't... BUT is analysisd mathematician? #mathchat
r thinking skills it develops?
some deeper thinking
g a symphony by
n a webinar with
l content areas, but
e. Au contraire, focus is
an art like painint and
trategies to all content
alyse. I really think you
athchat
ractice basics. String
highly emotional.
a key component of
8/6/2019 2011.06.10 is Mathematics Unique in the Wider Curriculum for the Deeper Thinking Skills It Develops
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Friday, 10th June 2011 Is Mathemati
Fri Jun 10 00:42:25 +0000 2011 - tweet id 78
@stefras @Benwturner Ithink of an example though. #matFri Jun 10 00:42:42 +0000 2011 - tweet id 78
@ColinTGraham I am nothough, that expression of emotioFri Jun 10 00:43:34 +0000 2011 - tweet id 78
@stefras @ColinTGrahait to analysis or broaden it to patteFri Jun 10 00:43:56 +0000 2011 - tweet id 78
@Benwturner @ColinTG
students (beyond numeracy) for tFri Jun 10 00:43:59 +0000 2011 - tweet id 78
@LizDk @ColinTGrahamAs a creator - that would depend.Fri Jun 10 00:44:23 +0000 2011 - tweet id 78
@republicofmath SolvinSome light appears, little by little.Fri Jun 10 00:44:41 +0000 2011 - tweet id 78
@LizDk @ColinTGraham#mathchatFri Jun 10 00:45:04 +0000 2011 - tweet id 78
@dmarain Basic problemdevelop as students try more comFri Jun 10 00:45:14 +0000 2011 - tweet id 78
@ColinTGraham Deductithe construction of mathematicalFri Jun 10 00:45:25 +0000 2011 - tweet id 78
@stefras @LizDk That isTrue for all subjects. All also problFri Jun 10 00:45:25 +0000 2011 - tweet id 78
@LizDk @republicofmathmathematics.Fri Jun 10 00:45:53 +0000 2011 - tweet id 78
@LizDk @stefras #mathc
cs unique in the wider curriculum for the deep
985330853814272 - #111
think math does develop unique deep thichat
985403377524736 - #112
saying that mathematicians are unemotis not a requirement of maths #mathch
985621753962496 - #113
I guess it depends on how you envisiorn play. #mathchat985714066407424 - #114
raham absolutely, I think Maths is most v
e deeper skills it develops #mathchat985726083080193 - #115
in school, yes. Go to art, music class - t#mathchat985826574417920 - #116
#math problem like being in dark room,Then illumination #mathchat985902206091264 - #117
re emotion. Interesting point. I had neve
986000390553600 - #118
s develop basic skills. Reasoning/conceplex non routine problems #mathchat986041603788800 - #119
ve reasoning, logic, Socratic dialogue, porlds, as a beginning... #mathchat
986088458371073 - #120
how I envision math -- you can analyzeem solving. #mathchat986089485967361 - #121
#mathchat. Persistence therefore a key
986205567520768 - #122
hat "Like". I wish there was a "like" butto
r thinking skills it develops?
nking skills. I have to
ional. I am saying,t
math. You can narrow
aluable to most
ey analyse art, music.
banging into furniture.
thought of that.
tual understanding
oof, etc. are basic to
nd you can create.
component of good
.
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Friday, 10th June 2011 Is Mathemati
Fri Jun 10 00:46:26 +0000 2011 - tweet id 78
@stefras @LizDk Yes. Bdevelop it? #mathchatFri Jun 10 00:46:38 +0000 2011 - tweet id 78
@stefras @LizDk There iFri Jun 10 00:47:24 +0000 2011 - tweet id 78
@dmarain @republicofmFri Jun 10 00:47:29 +0000 2011 - tweet id 78
@republicofmath Physicproblem solving, .... #math is ... ?Fri Jun 10 00:47:57 +0000 2011 - tweet id 78
@LizDk @stefras #mathcin discussion. High school all tooFri Jun 10 00:48:04 +0000 2011 - tweet id 78
@stefras @dmarain @reFri Jun 10 00:48:12 +0000 2011 - tweet id 78
@ColinTGraham @stefr
have with mathematics? They doFri Jun 10 00:48:34 +0000 2011 - tweet id 78
@republicofmath @dmaFri Jun 10 00:48:41 +0000 2011 - tweet id 78
@stefras @LizDk I agreethinking). #mathchatFri Jun 10 00:48:58 +0000 2011 - tweet id 78
@LizDk @republicofmathsolving, analysing, connecting, ...Fri Jun 10 00:49:05 +0000 2011 - tweet id 78
@stefras @ColinTGraha#mathchatFri Jun 10 00:49:31 +0000 2011 - tweet id 78
@LizDk @ColinTGrahamFri Jun 10 00:49:51 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
986345191706624 - #123
t how often do we teach persistence or
986392163725312 - #124
s a favorite option/button. #mathchat986585391120384 - #125
th Beautiful analogy! #mathchat986609881657344 - #126
is problem solving, car repair is proble#mathchat986724633608193 - #127
hat Not enough. Hence my lament re breuch of a rush.
986756497752064 - #128
ublicofmath It is beautiful, but not uniqu986786872889344 - #129
s @LizDk Is this not at the root of the pr
't learn to go deep enough... #mathchat986881831927808 - #130
rain Stole it from Andrew Wiles #mathch986908155392000 - #131
. We rush over content at the expense of
986981673148416 - #132
Math is .. making sense of the world we#mathchat987010169249792 - #133
Yes. That is what I thought the original
987117774110720 - #134
@stefras #mathchat re root of problem:987205342793728 - #135
r thinking skills it develops?
rovide opportunity to
solving, architecture is
adth of content earlier
to math. #mathchat
blem many people
t
exploration (deep
live in through problem
question was about.
Totally!
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Friday, 10th June 2011 Is Mathemati
@ColinTGraham "Is Matskills it develops?" or should be dFri Jun 10 00:50:09 +0000 2011 - tweet id 78
@republicofmath Yes, almany people have with math? DoFri Jun 10 00:50:33 +0000 2011 - tweet id 78
@stefras @ColinTGrahadeep, & broad, to teach thinking rFri Jun 10 00:52:03 +0000 2011 - tweet id 78
@ColinTGraham I wouldmathematical way of thinking... w
Fri Jun 10 00:52:11 +0000 2011 - tweet id 78
@Benwturner @ColinTGpersist and can manage frustratioFri Jun 10 00:52:48 +0000 2011 - tweet id 78
@republicofmath Fatherhelp him do that & drink whisk(e)yFri Jun 10 00:52:49 +0000 2011 - tweet id 78
@stefras @ColinTGraha#mathchatFri Jun 10 00:53:03 +0000 2011 - tweet id 78
@LizDk @stefras #mathcissue right there.Fri Jun 10 00:53:09 +0000 2011 - tweet id 78
@stefras @republicofmatFri Jun 10 00:53:23 +0000 2011 - tweet id 78
@ColinTGraham @stefrmathematics... analytic thinking mFri Jun 10 00:54:11 +0000 2011 - tweet id 78
@ColinTGraham @repuFri Jun 10 00:54:31 +0000 2011 - tweet id 78
@dmarain As long as mocoverage the culture we're descriFri Jun 10 00:54:59 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
ematics unique in the wider curriculum fveloping but isn't... #mathchat
987280387289091 - #136
ways dig deeper @ColinTGraham Is this't learn to go deep enough #mathchat987380006199296 - #137
The question is clear; its meaning is nther than doing. #mathchat
987756650508288 - #138
argue that any analytic act in any subjecether you're teaching maths or not #mat
987792486629377 - #139
raham YES should be! but you have to hto develop those skills. #mathchat
987945788452865 - #140
in-law keen to watch Miami Heat play MBye till next time. #mathchat
987950507036672 - #141
SO part of your definition of math is an
988010754027521 - #142
hat "..teach thinking rather than doing" S
988034468626432 - #143
h Bye. #mathchat988091746041856 - #144
s Not as such, but recognizing patternsay be best developed there. #mathchat988294746148864 - #145
licofmath Bye Gary. #mathchat988377956950016 - #147
st 2ndary teachers believe that curriculuing will not happen #mathchat
988496215347200 - #148
r thinking skills it develops?
r the deeper thinking
not at root of problem
t. I think we need to go
requires ahchat
ave resilient stdnts who
vericks (NBA) Must
alytical thinking?
o true. You nailed the
nd comparing them is
and instr = content
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Friday, 10th June 2011 Is Mathemati
@stefras @ColinTGrahatopic, is mathematical? I am unsuFri Jun 10 00:55:13 +0000 2011 - tweet id 78
@LizDk#mathchat. I ambut it turned out to be very thoughFri Jun 10 00:55:17 +0000 2011 - tweet id 78
@ColinTGraham @Benstudents become more resilient aFri Jun 10 00:55:27 +0000 2011 - tweet id 78
@stefras @LizDk Bye. SFri Jun 10 00:55:46 +0000 2011 - tweet id 78
@ColinTGraham @LizDFri Jun 10 00:56:00 +0000 2011 - tweet id 78
@LizDk @dmarain #mathproblem.Fri Jun 10 00:56:05 +0000 2011 - tweet id 78
@stefras @ColinTGraha
thinking. #mathchatFri Jun 10 00:56:25 +0000 2011 - tweet id 78
@LizDk @ColinTGrahamFri Jun 10 00:56:37 +0000 2011 - tweet id 78
@Benwturner @ColinTGelsewhere. Maths is the best vehiFri Jun 10 00:56:56 +0000 2011 - tweet id 78
@LizDk @stefras re MonMonday one. #mathchatFri Jun 10 00:57:10 +0000 2011 - tweet id 78
@ColinTGraham @stefrwhen you analyse something... it'Fri Jun 10 00:57:24 +0000 2011 - tweet id 78
@Benwturner @ColinTG
valued and recognised alongsideFri Jun 10 00:58:04 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
DO you think the act of analyzing, rege of that. #mathchat
988555896111106 - #149
ff now too. Nice chat - Initially I thoughtt provoking. Thx.988569737302016 - #150
turner Or we have to structure methodold persistent in their approaches. #math
988612137529345 - #151
e you MOnday? #mathchat988694635290624 - #152
Bye Liz, thanks for joining us! #mathch988750646030336 - #153
chat re content coverage. I agree totally
988774062825472 - #154
Yes, we have to structure how we teac
988854937395200 - #155
Thanks. :) #mathchat988906829320192 - #156
raham Some examples of maths thinkinle to dvlp these as it IS this thnkng #ma
988987653558273 - #157
ay. Unlikely - it is middle of night in Jap
989046709370880 - #158
s If you get meta-cognitive and think ababout comparison, at 1st #mathchat
989103697367040 - #159
raham of course these are learnable qua
ontent skills... #mathchat989272878821376 - #160
r thinking skills it develops?
rdless of subject and
e were going nowhere
gy towards helpinghat
t
- that is the crux of the
h to emphasize deep
can be foundhchat
n when you do the
ut what you are doing
lities and should be
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Friday, 10th June 2011 Is Mathemati
@ColinTGraham @stefrmaybe, deciding why differencesFri Jun 10 00:58:44 +0000 2011 - tweet id 78
@ekendriss#mathchat Duses every opportunity 2 make stFri Jun 10 00:58:53 +0000 2011 - tweet id 78
@stefras @ColinTGrahadefinition of science. How does thFri Jun 10 00:59:38 +0000 2011 - tweet id 78
@ColinTGraham @ekenmathematics... if it is done properl
Fri Jun 10 01:00:17 +0000 2011 - tweet id 78
@stefras @ColinTGrahagaps within it. This opens doors fFri Jun 10 01:00:56 +0000 2011 - tweet id 78
@ekendriss#mathchat hPolitics teacher one day about INFri Jun 10 01:00:56 +0000 2011 - tweet id 78
@Benwturner @ColinTGtraits including slf dscipline are thFri Jun 10 01:01:03 +0000 2011 - tweet id 78
@ColinTGraham @stefrI see it, anyway, so fundamentallyFri Jun 10 01:01:36 +0000 2011 - tweet id 78
@ekendriss#mathchat o
photography, perspective. only wFri Jun 10 01:01:58 +0000 2011 - tweet id 78
@stefras @ColinTGrahaScience generally uses hypothesiFri Jun 10 01:02:54 +0000 2011 - tweet id 78
@ColinTGraham @ekenfairly new concept, how/why doesFri Jun 10 01:03:10 +0000 2011 - tweet id 78
@stefras RT @ekendrisssimilar to one in photography, per
cs unique in the wider curriculum for the deep
s Noticing whether something is the sare there... mathematics #mathchat
989439208132608 - #161
on't think mathematics unique. We havedents think deeply. Admire her.989477468573696 - #162
I agree with that definition of mathemaat fit into posing? #mathchat989664345796608 - #163
riss Again, the claim is that these skillsy. Use is universal... #mathchat
989827583913984 - #164
I think before one can pose a problemr questions. #mathchat989991937716225 - #165
ad fab discussion w/Sp teacher and HuERENCE. We could form a panel,3 of u
989990947856385 - #166
raham it is becoming increasingly moreaccelerators of learning #mathchat
990022275121152 - #167
s Science is probably an outgrowth of thmathematical! #mathchat
990160095748096 - #168
ne of the hardest concepts for my studen
are looking at data.990251548344320 - #169
I think science is a branch of math. Maschema / induction. #mathchat
990485993164800 - #170
riss The whole idea of a "grammar of vicomposition work in art... #mathchat
990556558147584 - #171
: #mathchat one of the hardest conceptspective. We are looking at data.
r thinking skills it develops?
e or different and then,
a Spanish teacher--
ics. It is also the
re *developed* in
must see a pattern and
eography/Gov't &s!
pparent that these
e Socratic method... as
ts is similar to one in
th uses more schema.
ualisation" is also a
for my students is
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Friday, 10th June 2011 Is Mathemati
Fri Jun 10 01:03:19 +0000 2011 - tweet id 78
@Benwturner @ColinTGand concepts should be using apFri Jun 10 01:03:21 +0000 2011 - tweet id 78
@stefras @Benwturner SFri Jun 10 01:04:06 +0000 2011 - tweet id 78
@ColinTGraham OK, westart! Thanks for your contributionFri Jun 10 01:04:57 +0000 2011 - tweet id 78
@stefras @ColinTGraharecognition. So there is a link betFri Jun 10 01:05:14 +0000 2011 - tweet id 78
@stefras @ColinTGrahafashion. Yeah! #mathchatFri Jun 10 01:05:59 +0000 2011 - tweet id 78
@ColinTGraham @stefrfor #RSCON3 in July! ;-) #mathchFri Jun 10 01:06:09 +0000 2011 - tweet id 78
@rowiematti RT @repubtogether a kaleidoscope of techniFri Jun 10 01:06:15 +0000 2011 - tweet id 78
@Benwturner @ColinTGFri Jun 10 01:06:23 +0000 2011 - tweet id 78
@stefras @ColinTGrahaFri Jun 10 01:06:26 +0000 2011 - tweet id 78
@k8nowak @dmarain Socover too much content, we don'tFri Jun 10 01:06:48 +0000 2011 - tweet id 78
@stefras @Benwturner BFri Jun 10 01:06:56 +0000 2011 - tweet id 78
@ColinTGraham @BenFri Jun 10 01:07:16 +0000 2011 - tweet id 78
@ColinTGraham @stefrFri Jun 10 01:08:11 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
990592285212672 - #172
raham and I agree, the way we guide sturoaches that develop them.. #mathchat
990602548674560 - #173
O model deep thinking and problem solv990788306010112 - #174
are out of time, just when we're gettings everyone. #mathchat991005692608512 - #175
"grammar of visualization" is pattern aeen math, science and art. #mathchat
991073858420737 - #176
This was a good chat. I kept up and co
991261696147457 - #177
s Yep, totally agree! That's the main focat991304608067584 - #178
licofmath: Mathematics is like aikido, Praues. #mathchat
991330914742272 - #179
raham Class arriving got to go #mathcha991365912010752 - #180
I agree it was too short. It always see991375726686208 - #181
long as these punishing state (next: cohave much of a choice. #mathchat991470966751232 - #182
ye. #mathchat991502734393344 - #183
turner Bye Ben, glad you could join us!991587333517312 - #184
s Time flies when you're having fun, Sh991819165274112 - #185
r thinking skills it develops?
dents through ideas
ing? #mathchat
oing -- after a shaky
d pattern gap
ntributed in a timely
s of my presentation
ctice basics. String
t
s so ... :-( #mathchat
mon core) exams
mathchat
wn! #mathchat
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Friday, 10th June 2011 Is Mathemati
@stefras @ColinTGrahaOther subjects do the same thingFri Jun 10 01:09:00 +0000 2011 - tweet id 78
@stefras ;-) RT @ColinTShawn!#mathchatFri Jun 10 01:09:11 +0000 2011 - tweet id 78
@stefras @ColinTGrahaFri Jun 10 01:10:15 +0000 2011 - tweet id 78
@ColinTGraham @stefrFri Jun 10 01:10:42 +0000 2011 - tweet id 78
@stefras Just finished aif we teach deep thinking. ContinuFri Jun 10 01:15:10 +0000 2011 - tweet id 78
cs unique in the wider curriculum for the deep
I think math develops deeper thinkingtheir way. #mathchat992023557902336 - #186
raham: @stefras Time flies when you'r
992069145792512 - #187
Have a good day. See you Monday. #992337870655488 - #188
s You too! #mathchat992450093449216 - #189
reat #mathchat. Getting down to what mes on Monday!993572728274945 - #190
r thinking skills it develops?
kills mathematically.
having fun,
athchat
ath really is and asking