2011.04.22 How Do I Get Students Doing Mathematics Instead of Just Learning About Mathematics

8/7/2019 2011.04.22 How Do I Get Students Doing Mathematics Instead of Just Learning About Mathematics

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Friday, 22nd April 2011 How do

@mathfour *hehehe* I'mFri, 22 Apr 2011 00:00:30 +0000 - tweet id 6

@ColinTGraham @math

working on our poetry too! ;-P #mFri, 22 Apr 2011 00:01:28 +0000 - tweet id 6

@ColinTGraham Hello eFri, 22 Apr 2011 00:02:07 +0000 - tweet id 6

@mathfour @ColinTGragood.#mathchatFri, 22 Apr 2011 00:03:05 +0000 - tweet id 6

@ColinTGraham For firstjust interact with one or two peoplFri, 22 Apr 2011 00:03:13 +0000 - tweet id 6

@irishscott RT @chrisleand math education? You should.Fri, 22 Apr 2011 00:04:07 +0000 - tweet id 6

@ColinTGraham Today's

just learning about mathematics?"Fri, 22 Apr 2011 00:04:19 +0000 - tweet id 6

@ColinTGraham @mathBon! #mathchatFri, 22 Apr 2011 00:04:59 +0000 - tweet id 6

@davidwees I'll try and juFri, 22 Apr 2011 00:05:32 +0000 - tweet id 6

@mathfour @ColinTGrato go into math as a field... or... #Fri, 22 Apr 2011 00:05:40 +0000 - tweet id 6

@davidwees RT @Colinmathematics instead of just learniFri, 22 Apr 2011 00:05:57 +0000 - tweet id 6

@mathfour @ColinTGra

hours (shameless plug) :D #mathFri, 22 Apr 2011 00:06:18 +0000 - tweet id 6

I get students doing mathematics instead of just

the first here again... *snicker* #mathch217779356930048 - #1

our Just because you schedule your twe

thchat218020768497664 - #2

eryone, welcome to this week's new #m218185134882816 - #3

am That is totally not a scheduled tweet.

218428341600256 - #4

-timers or newcomers to twitter, don't try& don't forget ---> #mathchat

218463938646016 - #5

mann: Have you read @smartinez posthttp://bit.ly/ftCnxF#mathed#mathchat218688765919232 - #6

topic is: "How do I get students doing m

#mathchat218738233552897 - #7

our Or eager, since Thursday's your fav

218906056032256 - #8

mp in on #mathchat today. What's the to219043729874944 - #9

am I wonder what that means - maybe hathchat

219078219644928 - #10

Graham: Today's topic is: "How do I getg about mathematics?" #mathchat

219149824802816 - #11

am Indeed it is - Not just this chat, but al

hat219238144249856 - #12

learning about mathematics?

t

ets... some of us are

athchat topic.

I'm just

to follow everything,

about Khan Academy

athematics instead of

urite day for Twitter,

pic?

ow do we get students

students doing

so #HSMath chat in 2


2/24


@wilderlab @ColinTGrainteresting, progressive thinking #Fri, 22 Apr 2011 00:06:19 +0000 - tweet id 6

@davidwees Great questinvestigations from current issuesFri, 22 Apr 2011 00:07:07 +0000 - tweet id 6

@mathfour @wilderlab Tone! #mathchatFri, 22 Apr 2011 00:07:41 +0000 - tweet id 6

@ColinTGraham Doinglooks like, or is, before we tackle

Fri, 22 Apr 2011 00:07:41 +0000 - tweet id 6

@davidwees Contextualipurpose in their lives. #mathchatFri, 22 Apr 2011 00:07:55 +0000 - tweet id 6

@mathfour @ColinTGraFri, 22 Apr 2011 00:08:14 +0000 - tweet id 6

@ColinTGraham @wildeprovides more of a mathematicianFri, 22 Apr 2011 00:09:02 +0000 - tweet id 6

@Year7Numeracy @Coliare all on the same page to startFri, 22 Apr 2011 00:09:23 +0000 - tweet id 6

@wilderlab @mathfour: tFri, 22 Apr 2011 00:09:34 +0000 - tweet id 6

@davidwees Further we@ddmeyer. #mathchatFri, 22 Apr 2011 00:10:12 +0000 - tweet id 6

@ColinTGraham @math"calculating" or "memorizing" or "Fri, 22 Apr 2011 00:10:23 +0000 - tweet id 6

@mathfour @davidweeshomework" ? #mathchatFri, 22 Apr 2011 00:10:27 +0000 - tweet id 6


am: just read A Mathematician's Lamenmathchat219241654890496 - #13

ion: I think we need to pull mathematicalin student's lives. #mathchat219442222313473 - #14

hat's the official book for the book report

219586934185984 - #16

athematics... do we need to discuss whetting Ss to do it? #mathchat

219585256464385 - #17

e the math so that students see math a

219644916244480 - #18

am Yes, yes! What is "doing mathemati219722938687488 - #19

rlab Yes, it's kind of tug-the-carpet-from-'s view of the world... #mathchat219925053812736 - #20

nTGraham Hi all. I thnk looking at "doingmathchat220015810166784 - #21

e book was fantastic! #mathchat220062572462080 - #22

eed to do more math problems which a

220221482045440 - #23

our Well we can easily that maths is notsing formulas"... #mathchat220265207676928 - #24

Sounds like your definition of doing mat

220282051997696 - #25


by Paul Lockhart, very

problems &

in my classes. Good

t "doing mathematics"

an activity which has

s"? #mathchat

nder-your-feet that

maths" will ensure we

e open ended as per

(just) about

is "doing their


3/24


@shovon_rahman I learmath, but actually learned to do itFri, 22 Apr 2011 00:10:38 +0000 - tweet id 6

@CutTheKnotMath I thinsubstitute, say, "art" for "math", orFri, 22 Apr 2011 00:10:55 +0000 - tweet id 6

@wilderlab @ColinTGrahow I saw and thought about matFri, 22 Apr 2011 00:10:59 +0000 - tweet id 6

@Year7Numeracy @davOnce the purpose is clear learnin

Fri, 22 Apr 2011 00:11:02 +0000 - tweet id 6

@mathfour @davidweesFri, 22 Apr 2011 00:11:16 +0000 - tweet id 6

@davidwees @mathfouruseless IMHO. #mathchatFri, 22 Apr 2011 00:11:36 +0000 - tweet id 6

@ColinTGraham @CutTas historians would, not just 'memFri, 22 Apr 2011 00:12:04 +0000 - tweet id 6

@Year7Numeracy @Cut11's base don the video game HaFri, 22 Apr 2011 00:12:18 +0000 - tweet id 6

@wilderlab Whatever wenecessity #mathchatFri, 22 Apr 2011 00:12:21 +0000 - tweet id 6

@mathfour @davidweesgrading them on those. Offering sFri, 22 Apr 2011 00:13:19 +0000 - tweet id 6

@ColinTGraham @shovthe maths you need... did you chaFri, 22 Apr 2011 00:13:21 +0000 - tweet id 6

@CutTheKnotMath @Cohistorians - this is great. Why not iFri, 22 Apr 2011 00:13:25 +0000 - tweet id 6


ed math by building video games. And Iin my day-to-day life. #mathchat220329539899392 - #26

k that whatever you agree on should mais math is anyhow special? #mathchat220402030055424 - #27

am: I "found" Martin Gardner a few yearematics #mathchat220417267961856 - #28

idwees spot on. Needs to be a purpose ftakes place easier #mathchat

220430668767233 - #29

Which begs the question of "what is ope220488806019072 - #30

God no, math homework, assigned by a

220571987456000 - #31

eKnotMath In the UK, most students doorizing dates'... #mathchat220689486684160 - #32

heKnotMath work mate of mine createdlo! #mathchat220750283116544 - #33

use with students, they must reason an

220761603555328 - #34

I think there is value in assigning probleme as practice. #mathchat

221005682675712 - #35

n_rahman The need to use maths can onge your approach later on? #mathchat221013073043456 - #36

linTGraham most students doing historyn math studies? #mathchat221029925756930 - #37


just didn't learn about

e sense if you

ago, and it changed

or the task or activity.

n ended?"#mathchat

teacher, is nearly

ing history are behaving

a maths test for Year

construct out of logical

s. But not necessarily

ften guide you towards

are behaving as


4/24


@mathfour @ColinTGralearn math the semester after theFri, 22 Apr 2011 00:14:04 +0000 - tweet id 6

@ColinTGraham @CutTremembering number bonds andFri, 22 Apr 2011 00:14:10 +0000 - tweet id 6

@mathfour @CutTheKnmathematicians behave. #mathchFri, 22 Apr 2011 00:14:26 +0000 - tweet id 6

@mathfour @CutTheKnteachers - and it was a discouragi

Fri, 22 Apr 2011 00:15:15 +0000 - tweet id 6

@ColinTGraham @wildeinsights towards the kind of 'drill-dFri, 22 Apr 2011 00:15:27 +0000 - tweet id 6

@mathfour @CutTheKnthey need to teach the best they cFri, 22 Apr 2011 00:16:00 +0000 - tweet id 6

@ColinTGraham @mathknow, do not behave like mathemFri, 22 Apr 2011 00:16:20 +0000 - tweet id 6

@wilderlab I also find @@MrHonner @7puzzle very valuaFri, 22 Apr 2011 00:17:03 +0000 - tweet id 6

@mathfour @ColinTGra

than to teach the student. #mathcFri, 22 Apr 2011 00:17:16 +0000 - tweet id 6

@Year7Numeracy @matFri, 22 Apr 2011 00:17:33 +0000 - tweet id 6

@CutTheKnotMath @mmathematicians behave - Do youFri, 22 Apr 2011 00:17:40 +0000 - tweet id 6

@shovon_rahman @Coltwo ways to do them. #mathchatFri, 22 Apr 2011 00:17:44 +0000 - tweet id 6


am @shovon_rahman This is why I alwtake it. #mathchat

221192677326848 - #38

eKnotMath Probably because there is seing able to apply algorithms.... #mathc221219248246784 - #39

tMath @ColinTGraham Because teacheat221285493084160 - #40

tMath @ColinTGraham I taught a mathng curriculum. #mathchat

221490493882369 - #41

rlab Puzzles, games and problems are cown' method of mathematicians #mathc221540594847744 - #42

tMath @ColinTGraham We deprive thean. #mathchat221679661195264 - #43

our @CutTheKnotMath I also think thataticians either... #mathchat221761903112194 - #44

utTheKnotMath @jamestanton @republble people to what we do #mathchat221944439218176 - #45

am @CutTheKnotMath It is certainly ea

at221997102907392 - #46

hfour Interesting thought. #mathchat222070914256896 - #47

thfour @ColinTGraham Because teachehink this could be changed? En masse222099792052226 - #48

inTGraham Well, the thing about math is

222114837012480 - #49


ys thought that people

ill this fixation onat

rs don't know how real

lass in college for

rtainly intriguingat

eachers of the tools

any teachers who do

icofmath @divbyzero

ier to teach the test

rs don't know how realmathchat

that there are (I think)


5/24


@ColinTGraham @wildeenjoy exercising their own 'mentalFri, 22 Apr 2011 00:18:09 +0000 - tweet id 6

@mathfour @shovon_raFri, 22 Apr 2011 00:18:29 +0000 - tweet id 6

@Year7Numeracy @Cutabout changing this? #mathchatFri, 22 Apr 2011 00:20:23 +0000 - tweet id 6

@ColinTGraham @jameThinking" containing 5 elements oFri, 22 Apr 2011 00:20:33 +0000 - tweet id 6

@davidwees @shovon_rpractice or reinforcement of miscoFri, 22 Apr 2011 00:20:41 +0000 - tweet id 6

@shovon_rahman Here'I treated programming like anythiFri, 22 Apr 2011 00:21:19 +0000 - tweet id 6

@ColinTGraham @Yearplay, and "what if..." explorationsFri, 22 Apr 2011 00:21:22 +0000 - tweet id 6

@mathfour Hmm...RT @practice or reinforcement of miscoFri, 22 Apr 2011 00:22:02 +0000 - tweet id 6

@davidwees @CutTheKtime anyway? #mathchatFri, 22 Apr 2011 00:22:04 +0000 - tweet id 6

@shovon_rahman Whenof jibberish to get some grade thaFri, 22 Apr 2011 00:22:15 +0000 - tweet id 6

@ColinTGraham @shovvaluable as a route into Algebra.Fri, 22 Apr 2011 00:22:17 +0000 - tweet id 6

@mathfour @shovon_rateach logic. #mathchatFri, 22 Apr 2011 00:22:32 +0000 - tweet id 6


rlab Yes, it's easy to forget, sometimes, tmuscles' as well as Ss #mathchat222220424425472 - #50

man @ColinTGraham 2 to the 100th, I222305950482432 - #51

heKnotMath @mathfour @ColinTGrah

222780900868096 - #52

tanton has a couple of videos about whf mathematical thought #mathchat222825251450880 - #53

ahman @mathfour Homework assignmenceptions. Practice in class. #mathchat222859388891136 - #54

something -- sorta -- related to math: pg else in my life. #mathchat223016092286976 - #55

Numeracy @CutTheKnotMath @mathfave to be increased markedly #mathch223030210310144 - #56

avidwees: Homework assignments arenceptions. Practice in class. #mathchat223196145360897 - #57

otMath Agree. What do mathematicians

223204823384064 - #58

I got to University, people treated exactlwill land them a job. #mathchat

223252189642752 - #59

n_rahman Programming is definitely relrojectEuler.net (again) #mathchat223262520225794 - #60

man Programming is VERY related to

223325451550720 - #61


hat non-maths teachers

ould think.#mathchat

m How would you go

t he calls "Math Genius

nts are either unneeded

ogramming. Personally,

ur I think the idea oft

either unneeded

actually DO with their

y like math: long hours

ted, and I think it's very

ath. It's a great way to


6/24


@mathfour @ColinTGrathey don't do it early, we can't do iFri, 22 Apr 2011 00:23:24 +0000 - tweet id 6

@CutTheKnotMath @daanyway? Trying to figure out #maFri, 22 Apr 2011 00:24:15 +0000 - tweet id 6

@mathfour @davidweesreally know this, I think. #mathchaFri, 22 Apr 2011 00:24:34 +0000 - tweet id 6

@ColinTGraham @davidworking on one problem... ;-) #ma

Fri, 22 Apr 2011 00:24:44 +0000 - tweet id 6

@davidwees @Neilstephrelated to the lives of children. #mFri, 22 Apr 2011 00:25:02 +0000 - tweet id 6

@mathfour Cry, think, stmathematicians actually DO withFri, 22 Apr 2011 00:25:15 +0000 - tweet id 6

@davidwees @mathfourmathematicians & analyzed the aFri, 22 Apr 2011 00:25:39 +0000 - tweet id 6

@ColinTGraham Let's ruthree-word phrases... #mathchatFri, 22 Apr 2011 00:25:47 +0000 - tweet id 6

@delta_dc We must mod

representations, connections, andFri, 22 Apr 2011 00:26:08 +0000 - tweet id 6

@remi_collins I think wesecrets rather than letting them diFri, 22 Apr 2011 00:26:18 +0000 - tweet id 6

@ColinTGraham And coscores-higher if you teach algorithFri, 22 Apr 2011 00:26:36 +0000 - tweet id 6

@mathfour RT @Neilstethink kids might like math becaus


am @Year7Numeracy @CutTheKnotMt late. #mathchat223539738554368 - #63

idwees What do mathematicians actuallhchat223754805690368 - #64

@CutTheKnotMath Unless you go to grt223837336993792 - #65

wees Well some, like Andrew Wiles spethchat

223879355547648 - #66

enson Beauty/fun are authentic experienathchat223954274197505 - #67

re at the ceiling, wonder, try, fail. RT@dheir time anyway? #mathchat224007218888704 - #68

@CutTheKnotMath Surely someone hastivities they actually do? #mathchat224107387260930 - #69

with this idea: What do mathematicians

224140954271744 - #70

el the Process Standards - problem solvi

communication #mathchat224229940637696 - #71

often rob the children of the beauty of mcove r them #mathchat

224273347489792 - #72

fort zones. RT @baevmilena:... Teachims. #mathchat224345149784064 - #73

henson while i agree that authentic contof the fun of it? #mathchat


th Yes, but early. If not,

y DO with their time

d school, you can't

d most of their time

ces & very much

vidwees What do

studies

do? Maybe short two-

ng, reasoning & proof,

th by telling them the

g-much easier, test

ext is important do u


7/24


Fri, 22 Apr 2011 00:26:47 +0000 - tweet id 6

@mathfour Hey @NeilstFri, 22 Apr 2011 00:26:57 +0000 - tweet id 6

@davidwees @remi_colliFri, 22 Apr 2011 00:27:01 +0000 - tweet id 6

@ColinTGraham @remithem to do that? #mathchatFri, 22 Apr 2011 00:27:12 +0000 - tweet id 6

@shovon_rahman @ColFri, 22 Apr 2011 00:27:13 +0000 - tweet id 6

@CutTheKnotMath @mWhat I think is this: may it be wroFri, 22 Apr 2011 00:27:14 +0000 - tweet id 6

@remi_collins When wealgortthms on their own #mathchFri, 22 Apr 2011 00:27:43 +0000 - tweet id 6

@mathfour YES!RT @re

them the secrets rather than lettinFri, 22 Apr 2011 00:27:54 +0000 - tweet id 6

@delta_dc @remi_collinsmath is not taking the shortcut butFri, 22 Apr 2011 00:28:00 +0000 - tweet id 6

@ColinTGraham Mathetheir limits, define, postulate, dedFri, 22 Apr 2011 00:28:31 +0000 - tweet id 6

@davidwees When I trymessing around, taking long breaFri, 22 Apr 2011 00:28:34 +0000 - tweet id 6

@remi_collins For too loFri, 22 Apr 2011 00:28:40 +0000 - tweet id 6

@shovon_rahman @re

at the formula the teacher give us,Fri, 22 Apr 2011 00:28:44 +0000 - tweet id 6


224392230846464 - #74

phenson - use the hashtag #mathchat224435209871360 - #75

ns Agree. "Be less helpful." ~ @ddmeye224453891305472 - #76

collins OK, don't think anyone would dis

224500154466304 - #77

inTGraham http://cstheory.stackexchang224500506787840 - #78

thfour @davidwees Unless you go to grg to try with everyone? #mathchat224506999570432 - #79

started exploring patterns together and tt224629288701952 - #80

i_collins: We rob the children of the be

them discover them #mathchat224675073720320 - #81

Yes! My preservice teachers have embrfinding the shortcut. #mathchat224697509060608 - #82

aticians make connections, ask "what if"ce... #mathchat224828262301696 - #83

nd solve mathematical problems, I finds, exploring. #mathchat224842388701184 - #84

g I was teaching coping strategies and224868313694209 - #85

i_collins Agreed. What got me to learn

, but trying to figure out. #mathchat224882633056256 - #86


#mathchat

gree! How do you get

e.com/#mathchat

d school ... I agree.

ey figure out the

uty of math by telling

aced the mantra that

, look for patterns, know

yself researching,

ot math #mathchat

ath was not by looking


8/24


@ColinTGraham @delta#mathchatFri, 22 Apr 2011 00:29:17 +0000 - tweet id 6

@davidwees My favouritfrom scratch, on my own. #mathcFri, 22 Apr 2011 00:29:19 +0000 - tweet id 6

@wilderlab Children constudent thinking #mathchatFri, 22 Apr 2011 00:29:44 +0000 - tweet id 6

@shovon_rahman @ColFri, 22 Apr 2011 00:29:55 +0000 - tweet id 6

@delta_dc Schoenfeld hthink could apply here. #mathchatFri, 22 Apr 2011 00:30:04 +0000 - tweet id 6

@mathfour @ColinTGrareally easy with me as the puppet.Fri, 22 Apr 2011 00:30:05 +0000 - tweet id 6

@ColinTGraham @remiyears of secondary ed, especially.Fri, 22 Apr 2011 00:30:06 +0000 - tweet id 6

@CutTheKnotMath @shbreath away #mathchatFri, 22 Apr 2011 00:30:10 +0000 - tweet id 6

@mathfour @ColinTGrame on. So they then change the rFri, 22 Apr 2011 00:30:26 +0000 - tweet id 6

@davidwees Student saireal world, why bother solving it?"Fri, 22 Apr 2011 00:31:06 +0000 - tweet id 6

@ColinTGraham @wildecheck out his blog #mathchatFri, 22 Apr 2011 00:31:12 +0000 - tweet id 6

@delta_dc @ColinTGrah@garystager - "Less Us, More ThFri, 22 Apr 2011 00:31:15 +0000 - tweet id 6


dc @remi_collins Better still - explain w

225022190141440 - #87

discovery from 9th grade was developiat225032852062209 - #88

truct logico-mathematical knowledge... o

225135310508032 - #89

inTGraham @delta_dc @remi_collins Tr225182177669121 - #90

s some interesting research on learning

225221469908993 - #91

am @remi_collins I let them them do a fThen they make the rules #mathchat

225222451367936 - #92

collins That is a common experience for#mathchat225227765563393 - #93

von_rahman @remi_collins Some form

225244198842368 - #94

am @remi_collins Then I give them harles. And so on... #mathchat

225310091358208 - #95

today: "If an equation isn't a representa#mathchat225480979873792 - #96

rlab This is what @republicofmath refers

225505004859392 - #97

am @remi_collins Who does the explainiem!" #mathchat225518372093952 - #98


y the shortcut works...

g the quadratic formula

ften teachers restrict

ue that! #mathchat

to problem-solve that I

ew problems that are

many... in the early

las may take one's

er problems to puppet

tion of anything in the

to as "Cognitive theft"....

ng? I agree with


9/24


@erringreg RT @davidwanything in the real world, why boFri, 22 Apr 2011 00:31:31 +0000 - tweet id 6

@davidwees I pointed oupractical application, until the PhyFri, 22 Apr 2011 00:31:33 +0000 - tweet id 6

@mathfour NICE! RT @developing the quadratic formulaFri, 22 Apr 2011 00:31:36 +0000 - tweet id 6

@remi_collins @ColinTare short cuts, but they need to k

Fri, 22 Apr 2011 00:31:49 +0000 - tweet id 6

@shovon_rahman Howeanecdotal. So don't take my wordFri, 22 Apr 2011 00:32:03 +0000 - tweet id 6

@mathfour @davidweesnumbers anyway. #mathchatFri, 22 Apr 2011 00:32:12 +0000 - tweet id 6

@cindymariej RT @daviof anything in the real world, whyFri, 22 Apr 2011 00:32:28 +0000 - tweet id 6

@ColinTGraham @deltaexplicitly that I meant the studentsFri, 22 Apr 2011 00:32:35 +0000 - tweet id 6

@remi_collins @ColinTFri, 22 Apr 2011 00:33:18 +0000 - tweet id 6

@davidwees @shovon_rperspective is valuable experiencFri, 22 Apr 2011 00:33:23 +0000 - tweet id 6

@delta_dc @ColinTGrah#mathchatFri, 22 Apr 2011 00:33:23 +0000 - tweet id 6

@CutTheKnotMath @mand teach them to simplify, try parFri, 22 Apr 2011 00:33:24 +0000 - tweet id 6


es: Student said today: "If an equation iher solving it?" #mathchat225586005258240 - #99

t that the entire field of Group theory waics caught up. #mathchat225593181716480 - #100

avidwees: My favourite discovery from 9rom scratch, on my own. #mathchat225604959322112 - #101

raham I think students need to understaow how to get there 1st #mathchat

225661678878720 - #102

ver, whatever I'm saying about on #mathfor it at a 100%.225717333102592 - #103

And I used to pick up guys by deriving it

225758223376385 - #104

wees: Student said today: "If an equatioother solving it?" #mathchat

225823092490241 - #105

dc @remi_collins @garystager I thoughshould explain! #mathchat

225854587518976 - #106

raham problem with 140 characters #m226033449414656 - #107

ahman Anecdotal evidence from someo. Helps combat group-think. #mathchat226053934391296 - #108

am @remi_collins You know me - I am a

226052474765312 - #109

thfour @ColinTGraham @remi_collinsticular cases by themselves? #mathchat226059168890880 - #110


n't a representation of

thought to have no

th grade was

nd that the algorithms

chat is mostly

for them. Well, get

n isn't a representation

t it went without saying

thchat

e w/ a different

ll about the explicit :)

ive a hard problem first


10/24


@mathfour Great examplto have no practical application, uFri, 22 Apr 2011 00:33:28 +0000 - tweet id 6

@ColinTGraham @davidall used mathematics for their disFri, 22 Apr 2011 00:33:46 +0000 - tweet id 6

@remi_collins @CutTheto have them use that pattern withFri, 22 Apr 2011 00:33:57 +0000 - tweet id 6

@towittertoo @cindymarabstract, non real-world-applicabl

Fri, 22 Apr 2011 00:34:46 +0000 - tweet id 6

@ColinTGraham @shovgain momentum... we're not all quFri, 22 Apr 2011 00:35:05 +0000 - tweet id 6

@mathfour @CutTheKnsimple problems and then have thFri, 22 Apr 2011 00:35:21 +0000 - tweet id 6

@cherraolthof RT @daviof anything in the real world, whyFri, 22 Apr 2011 00:35:30 +0000 - tweet id 6

@delta_dc Does everythisometimes? #mathchatFri, 22 Apr 2011 00:35:30 +0000 - tweet id 6

@mathfour Me too RT @

try to have them use that patternFri, 22 Apr 2011 00:35:43 +0000 - tweet id 6

@davidwees @towittertothey are very focused on self & iniFri, 22 Apr 2011 00:35:46 +0000 - tweet id 6

@ColinTGraham @remidoing calculations more quickly, tFri, 22 Apr 2011 00:35:57 +0000 - tweet id 6

@remi_collins @delta_dFri, 22 Apr 2011 00:36:00 +0000 - tweet id 6


e! RT @davidwees: The entire field of Gtil Physics... #mathchat

226076407480320 - #111

wees Einstein, Kepler, Newton, the L-guoveries in science...#mathchat226149593874432 - #112

notMath I start simple so they can see tharder ones #mathchat

226197450899456 - #113

iej @davidwees are 9th graders developproblems? #mathchat

226402028072960 - #114

n_rahman If there is a sufficient body ofantitative data-munchers! #mathchat226481568858112 - #115

tMath @ColinTGraham @remi_collins Nem tweak as they get bigger #mathchat226550107979776 - #116

dwees: Student said today: "If an equatiother solving it?" #mathchat

226586896216065 - #117

g need to be related to real-life? Can't

226585424007168 - #118

remi_collins: I start simple so they can s

ith harder ones #mathchat226640348418049 - #119

@cindymariej Some cases yes. Howevtiating break from parents. #mathchat226651954061312 - #120

collins Some algorithms were also neceose can be 'forgotten'... #mathchat226699995611137 - #121

I think so, like any subject it is how it is226711043420161 - #122


roup theory was thought

(@Samuel_Hansen),

he pattern and then try

mentally ready to solve

anecdote, it tends to

ope - I give small

n isn't a representation

ath be the context

e the pattern and then

er, developmentally

sary as a means of

presented#mathchat


11/24


@remi_collins @ColinTforgotten #mathchatFri, 22 Apr 2011 00:36:32 +0000 - tweet id 6

@wilderlab I have beenapproaches by educators, why noFri, 22 Apr 2011 00:36:47 +0000 - tweet id 6

@tjhouston RT @davidwanything in the real world why botFri, 22 Apr 2011 00:37:27 +0000 - tweet id 6

@ColinTGraham @cindywhich does have a representation

Fri, 22 Apr 2011 00:38:06 +0000 - tweet id 6

@delta_dc @wilderlab sFri, 22 Apr 2011 00:38:17 +0000 - tweet id 6

@silveredfern RT @tjhorepresentation of anything in the rFri, 22 Apr 2011 00:38:34 +0000 - tweet id 6

@ColinTGraham @towittanyone tried? "Stand and Deliver"Fri, 22 Apr 2011 00:39:02 +0000 - tweet id 6

@CutTheKnotMath @repatterns by looking at particular cFri, 22 Apr 2011 00:39:09 +0000 - tweet id 6

@SchoolmarmDE Any thmuch written & drawn explanationFri, 22 Apr 2011 00:39:19 +0000 - tweet id 6

@shovon_rahman @Colthat said that was pretty frustratedFri, 22 Apr 2011 00:39:34 +0000 - tweet id 6

@mathfour @Schoolmarexplanations?" #mathchatFri, 22 Apr 2011 00:40:23 +0000 - tweet id 6

@wilderlab @delta_dc:Fri, 22 Apr 2011 00:40:25 +0000 - tweet id 6


raham I think if the "math " is understoo

226845944815616 - #123

orried about the faith in math ed prograt faith in students thinking #mathchat226908481884160 - #124

ees: Student said 2day If an equation iser solving it? #mathchat agreed

227077029998592 - #125

mariej @davidwees Because it may actu. Why climb Everest? #mathchat

227240133902336 - #126

y more #mathchat227289211449344 - #127

ston: RT @davidwees: Student said 2deal world why bother solving it? #mathch227358480367617 - #128

ertoo @cindymariej @davidwees Who ssprings to mind... #mathchat227477003018240 - #129

i_collins Start simple. I understand. Stases. http://bit.ly/htzavv#mathchat227506069544960 - #130

oughts from this group about math testins as answers? #mathchat227548029370368 - #131

inTGraham @cindymariej @davidwees Iwith his/her progress in math. #mathch

227609194889216 - #132

DE Hey there! What do you mean "writ

227816573865984 - #133

ore #mathchat227826124296192 - #134


, the algorithms are not

s and empirical

't a representation of

ally lead to something

y If an equation isn't aat agreed

ys they aren't? Has

t hard & ask to find

g that incorporates

think the 9th gradert

en and drawn


12/24


@davidwees @Schoolmof representation are at least occFri, 22 Apr 2011 00:40:32 +0000 - tweet id 6

@ColinTGraham @deltabladder around a field... Why painFri, 22 Apr 2011 00:40:52 +0000 - tweet id 6

@delta_dc @ColinTGrahthis?" is a trap, because I do notFri, 22 Apr 2011 00:40:54 +0000 - tweet id 6

@remi_collins @CutTheknowing your class and the climat

Fri, 22 Apr 2011 00:41:07 +0000 - tweet id 6

@towittertoo @ColinTGrhinge entire curriculums on abstrFri, 22 Apr 2011 00:41:23 +0000 - tweet id 6

@ColinTGraham @baevFri, 22 Apr 2011 00:41:35 +0000 - tweet id 6

@delta_dc @wilderlab HFri, 22 Apr 2011 00:41:38 +0000 - tweet id 6

@mathfour @ColinTGraFUN! #mathchatFri, 22 Apr 2011 00:41:44 +0000 - tweet id 6

@davidwees @delta_dcof people will use less than 10% oFri, 22 Apr 2011 00:41:56 +0000 - tweet id 6

@Year7Numeracy @Schbest way that they can express thFri, 22 Apr 2011 00:41:58 +0000 - tweet id 6

@ColinTGraham @math#mathchatFri, 22 Apr 2011 00:42:10 +0000 - tweet id 6

@mathfour @towittertooboth.#mathchatFri, 22 Apr 2011 00:42:12 +0000 - tweet id 6


rmDE I'm okay w/ written explanations,sionally used as well. #mathchat227852909125632 - #135

dc What's the point of throwing or kickint? Why dance?... #mathchat227938913329152 - #136

am @cindymariej @davidwees I think "now for sure. #mathchat227947838803968 - #137

notMath I think the particular cases is ke that you have #mathchat

227999839793152 - #138

aham @cindymariej @davidwees not sact when so much real exists #mathchat228067015753728 - #139

ilena Remember to use the #mathchat228119486513152 - #140

HA! Please say more about faith in stud228131587067905 - #141

am @delta_dc Oooo! OOO! I know the

228155008061440 - #142

ColinTGraham @cindymariej Be careff the math we teach. #mathchat228207931793408 - #143

oolmarmDE I encourage my students tomselves - working crucial #mathchat

228213195644928 - #144

our @delta_dc Oh Bon, you're using tha

228263430832128 - #145

@ColinTGraham @cindymariej @david

228271307718656 - #146


o long as other choices

g an inflated pig's

hen will I ever use

y, and I also think it is

ing can't- wondering y

hashtag!

ent thinking.#mathchat

nswer - BECAUSE IT'S

l w/ the analogy. 99.9%

give their answer in the

t f-word again...!

ees I say do


13/24


@remi_collins @Schoolproblems including journalling instFri, 22 Apr 2011 00:42:16 +0000 - tweet id 6

@davidwees @delta_dcdone by professionals, who haveFri, 22 Apr 2011 00:42:21 +0000 - tweet id 6

@ColinTGraham @davidcurriculum, not the way in whichFri, 22 Apr 2011 00:42:48 +0000 - tweet id 6

@davidwees @delta_dcreflect the developmental nature

Fri, 22 Apr 2011 00:42:50 +0000 - tweet id 6

@mathfour Great! RT @way that they can express themsFri, 22 Apr 2011 00:43:00 +0000 - tweet id 6

@Year7Numeracy @Schand express themselves in diff waFri, 22 Apr 2011 00:43:08 +0000 - tweet id 6

@davidwees @ColinTGrtoo much on everyone taking calcFri, 22 Apr 2011 00:43:18 +0000 - tweet id 6

@towittertoo @mathfourfunction more often in math edu (Fri, 22 Apr 2011 00:43:28 +0000 - tweet id 6

@delta_dc @davidwees

reason, connect, communicate, reFri, 22 Apr 2011 00:43:32 +0000 - tweet id 6

@mathfour @davidweesAnd who approves it? The governFri, 22 Apr 2011 00:44:01 +0000 - tweet id 6

@ColinTGraham @Schocommunication of results is part oFri, 22 Apr 2011 00:44:03 +0000 - tweet id 6

@delta_dc @davidweesquantitative literacy. #mathchat


armDE I went to much more written solead of math drills #mathchat228289481650176 - #147

ColinTGraham @cindymariej And thechoice to do math. #mathchat228308657999872 - #148

wees @delta_dc @cindymariej And thate deliver it... #mathchat228422164254721 - #150

ColinTGraham @cindymariej Our currif abstract reasoning. #mathchat

228431752429568 - #151

ear7Numeracy: I encourage students tolves - working crucial #mathchat228475775844353 - #152

oolmarmDE Diagrams, etc as very welcys. Shouldn't b written only #mathchat228508252352512 - #153

ham @delta_dc @cindymariej Agree. Oulus. #mathchat228551730499584 - #154

@ColinTGraham @cindymariej @davidorry a hs math hater here) #mathchat228592700469248 - #155

colintgraham @cindymariej they'll nee

present - process standards #mathchat228609158905856 - #156

@delta_dc @ColinTGraham @cindymament (based on $) #mathchat228728281333760 - #157

olmarmDE That would need Ss to underbeing a mathematician. Expensive too!

228740193165312 - #158

colintgraham @cindymariej Yes! We n


tions and fewer

xplorations in math are

is the fault of the

culums for math should

give answer in the best

me as students learn

ur curriculum focuses

ees wish form followed

to problem solve,

iej And who writes it?

tand that the#mathchat

ed to refocus on


14/24


Fri, 22 Apr 2011 00:44:17 +0000 - tweet id 6

@jjash#mathchat add codeg and more. Look for Maths in tFri, 22 Apr 2011 00:44:48 +0000 - tweet id 6

@delta_dc @mathfour @makes consumers not creators. #Fri, 22 Apr 2011 00:44:53 +0000 - tweet id 6

@davidwees @delta_dccalculus at pinnacle to statistics &Fri, 22 Apr 2011 00:44:56 +0000 - tweet id 6

@ColinTGraham OK, let'

mathematics, with whatever curricFri, 22 Apr 2011 00:45:22 +0000 - tweet id 6

@smartinez @davidwee#mathchatFri, 22 Apr 2011 00:45:30 +0000 - tweet id 6

@wilderlab @delta_dc: urightness or wrongness, and unifoFri, 22 Apr 2011 00:45:31 +0000 - tweet id 6

@mathfour Perfectly saidbeing a mathematician #mathchatFri, 22 Apr 2011 00:45:37 +0000 - tweet id 6

@delta_dc @davidweesmiss it? #mathchatFri, 22 Apr 2011 00:45:46 +0000 - tweet id 6

@ColinTGraham @smarover the past couple of days... I'llFri, 22 Apr 2011 00:46:12 +0000 - tweet id 6

@davidwees @smartineabout it intelligently. #mathchatFri, 22 Apr 2011 00:46:20 +0000 - tweet id 6

@SchoolmarmDE @matdrawing and english . #mathchatFri, 22 Apr 2011 00:46:39 +0000 - tweet id 6


228798661767168 - #159

ntext to numbers and you'll be adding mhe enviro get kids to search228927061999617 - #160

davidwees @colintgraham @cindymarieathchat

228949321154561 - #161

colintgraham @cindymariej The TED tprobability was good. #mathchat228960884858880 - #162

try and get back on track with getting s

ulum is thrown at us! #mathchat229069878042624 - #163

hey, did you guys talk about the NY Ti

229103663169536 - #164

nfortunately, currently math ed seems torm approach... #mathchat229106129420289 - #165

. RT @ColinTGraham: the communicati

229134319321088 - #166

colintgraham @cindymariej which one

229171363418112 - #167

inez @davidwees Not directly but it's beost the link later. #mathchat

229277521256448 - #168

No, not yet. I need to do research on Ju

229313353199616 - #169

four In our case, scoring rubrics for #D

229392612962304 - #170


aning. 50% 50cents 50

j The current system

lk about switching from

udents to DO

es Jump math article?

focus more on

n of results is part of

was that? How did I

n doing the rounds

mp before I can talk

TP involve much


15/24


@shovon_rahman @Colpersuaded his students to think crFri, 22 Apr 2011 00:46:48 +0000 - tweet id 6

@mathfour Everyone ke@delta_dc: The current system mFri, 22 Apr 2011 00:46:49 +0000 - tweet id 6

@delta_dc @wilderlab Yacquisition approach #mathchatFri, 22 Apr 2011 00:46:53 +0000 - tweet id 6

@smartinez @davidweenewspaper missing the real story

Fri, 22 Apr 2011 00:46:58 +0000 - tweet id 6

@davidwees @smartineteaching same curriculum" so neeFri, 22 Apr 2011 00:46:58 +0000 - tweet id 6

@Year7Numeracy @Colitakes place when kids don't realisFri, 22 Apr 2011 00:47:01 +0000 - tweet id 6

@ColinTGraham @daviddevelopment at a micro-level, froFri, 22 Apr 2011 00:47:16 +0000 - tweet id 6

@shovon_rahman @Colown unique ways of thinking. #maFri, 22 Apr 2011 00:47:24 +0000 - tweet id 6

@delta_dc @Year7Num

have made it unnatural. #mathchFri, 22 Apr 2011 00:47:52 +0000 - tweet id 6

@mathfour @wilderlab*sigh*#mathchatFri, 22 Apr 2011 00:48:06 +0000 - tweet id 6

@smartinez @ColinTGracorrect #mathchatFri, 22 Apr 2011 00:48:07 +0000 - tweet id 6

@millerblair RT @remi_telling them the secrets rather tha


inTGraham I remember a high school teitically about a problem. #mathchat229428813996032 - #171

ps writing the right stuff. I'm always RTinakes consumers not creators. #mathcha229436464406528 - #172

s, that is why I like to think about math f

229450343354368 - #173

i'll be interested. finally read the article.mathchat

229473420419072 - #174

From the article, it sounds like "reduced to clarify. #mathchat229472669646848 - #175

nTGraham @mathfour @delta_dc amaze it - coz they're having FUN! #mathchat229483675484160 - #176

wees @smartinez It seems very much liwhat I've seen of it... #mathchat

229548372635648 - #177

inTGraham And another thing is that stuthchat229582614925313 - #178

racy @colintgraham @mathfour Learnin

t229698096709632 - #179

delta_dc It's the time of Harrison Berger

229757014093824 - #180

ham it may be a very literal interpretation

229763787886592 - #181

ollins: I think we often rob the children ofletting them discove r them #mathchat


cher that really

g this time: RT

om a language

hoping some of it is just

ognitive load but keep

ing how much lrning

e Zones of Proximal

ents really have their

g is natural - schools

ac for math.

of ZPD... not sure it's

the beauty of math by


16/24


Fri, 22 Apr 2011 00:48:11 +0000 - tweet id 6

@davidwees @shovon_rthought is what is missing in geneFri, 22 Apr 2011 00:48:36 +0000 - tweet id 6

@ColinTGraham @shovapproaches and methods of thinkiFri, 22 Apr 2011 00:48:39 +0000 - tweet id 6

@davidwees We have miwant them all to think the same. #Fri, 22 Apr 2011 00:49:11 +0000 - tweet id 6

@mathfour @SchoolmarFri, 22 Apr 2011 00:49:24 +0000 - tweet id 6

@davidwees RT @Colinstudents to DO mathematics, withFri, 22 Apr 2011 00:49:46 +0000 - tweet id 6

@ColinTGraham Gettinghead is always fascinating... 5 apFri, 22 Apr 2011 00:50:00 +0000 - tweet id 6

@delta_dc @smartinezif it includes sharing thinking it miFri, 22 Apr 2011 00:50:05 +0000 - tweet id 6

@Year7Numeracy @wildclasses. Mistakes encouraged &Fri, 22 Apr 2011 00:50:05 +0000 - tweet id 6

@halebone !!! RT @davi

thought, but we want them all to tFri, 22 Apr 2011 00:50:08 +0000 - tweet id 6

@MeghanBenson @davidiscovery is one of my favorite teFri, 22 Apr 2011 00:50:17 +0000 - tweet id 6

@SchoolmarmDE @matFri, 22 Apr 2011 00:50:26 +0000 - tweet id 6

@Year7Numeracy @shothat?#mathchatFri, 22 Apr 2011 00:50:58 +0000 - tweet id 6


229778631528448 - #182

ahman @ColinTGraham IMHO, the uniqral from education today. #mathchat229884407689217 - #183

n_rahman And it's also very important tng, especially non-algorithmic ones! #m229894746648576 - #184

llions of children in schools, huge diversimathchat230031736815616 - #185

DE What's #DSTP? #mathchat230084656340992 - #186

Graham: OK, let's try and get back on trwhatever curriculum is thrown at us! #m230178659090432 - #187

Ss to do mental arithmetic then write outs downloaded at $1.59 #mathchat230234334277632 - #188

colintgraham that's my take. If it's just dht be useful #mathchat230257407135744 - #189

erlab agree. That's exactly the culture I'mbraced to further learning #mathchat230256757018625 - #190

wees: We have millions of children in sc

ink the same. #mathchat230269402849280 - #191

dwees I just taught the quadratic formulching methods #mathchat230305268350976 - #192

four That's our state assessment instru230345315561472 - #193

on_rahman how did this teacher go abo

230480934174720 - #194


eness of human

validate thosethchat

ty of thought, but we

ack with gettingathchat

what they did in their

tails, count me out but

trying to rid in my

hools, huge diversity of

! Learning through

ent. #mathchat

ut doing


17/24


@davidwees @ColinTGrmathematics could be good. #matFri, 22 Apr 2011 00:50:59 +0000 - tweet id 6

@mathfour @Year7Numa started this morning. or http://tinFri, 22 Apr 2011 00:51:25 +0000 - tweet id 6

@davidwees @MeghanBexample w/ numbers. I went homFri, 22 Apr 2011 00:51:29 +0000 - tweet id 6

@ColinTGraham @smarhow much of that is because of th

Fri, 22 Apr 2011 00:51:30 +0000 - tweet id 6

@smartinez @davidwee#mathchatFri, 22 Apr 2011 00:51:48 +0000 - tweet id 6

@davidwees @MeghanBlike, "Neat." #mathchatFri, 22 Apr 2011 00:51:50 +0000 - tweet id 6

@wilderlab @Year7NumFri, 22 Apr 2011 00:51:54 +0000 - tweet id 6

@mathfour @delta_dcAlmost need to take the schools oFri, 22 Apr 2011 00:52:16 +0000 - tweet id 6

@cindymariej @delta_dcroom and miss a whole convo inFri, 22 Apr 2011 00:52:36 +0000 - tweet id 6

@Year7Numeracy @deltsame yet expected to learn the saFri, 22 Apr 2011 00:52:39 +0000 - tweet id 6

@ColinTGraham @davidprimary schools here, but 2ndry sFri, 22 Apr 2011 00:52:54 +0000 - tweet id 6

@delta_dc @ColinTGrahrelationships between teacher anFri, 22 Apr 2011 00:53:03 +0000 - tweet id 6


ham Students exploring their own areahchat230482276352000 - #195

racy @ColinTGraham @delta_dc Learnyurl.com/3u2y39q#mathchat230591017877504 - #196

enson My teacher showed me completin& played w/ it with variables. #mathcha

230608990470146 - #197

inez Seems to have had an impact where interaction with teacher... #mathchat

230614761844738 - #198

ooops. i didn't notice the hashtag. sorry

230689932161025 - #199

enson And happened to produce the qu

230698249469953 - #200

racy: excellent! #mathchat230714322042880 - #201

Year7Numeracy @colintgraham I totallyut of education. #mathchat230804948353024 - #202

@davidwees @colintgraham Oh my gomathchat230891657203713 - #203

a_dc conformity has much to do with thisme #mathchat230904865067011 - #204

wees Individual or small-group approachems a lot more content-heavy #mathch

230965669900288 - #205

am @smartinez A good point - learninglearner #mathchat

231003217297408 - #206


f interest in

ing on the con... a post

g the square on an

e used, but I wonder

if that was off topic.

dratic formula. I was

agree. Very sad.

dness, I leave the

. Not everyone is the

es are often done int

as a lot to do with


18/24


@mathfour RT @Year7N#mathchatFri, 22 Apr 2011 00:53:08 +0000 - tweet id 6

@davidwees @ColinTGrneed to show how to do every poFri, 22 Apr 2011 00:53:21 +0000 - tweet id 6

@ColinTGraham @deltathat mathematicians do at higher lFri, 22 Apr 2011 00:53:51 +0000 - tweet id 6

@davidwees @ColinTGralgorithmic. It's like picking up kid

Fri, 22 Apr 2011 00:54:08 +0000 - tweet id 6

@delta_dc @Year7Numbetween conformity and creativityFri, 22 Apr 2011 00:54:14 +0000 - tweet id 6

@smartinez @ColinTGrainterventions produce near term gFri, 22 Apr 2011 00:54:39 +0000 - tweet id 6

@ColinTGraham @davidbeing comfortable with saying: "IFri, 22 Apr 2011 00:54:45 +0000 - tweet id 6

@debwhite RT @davidwthought, but we want them all to tFri, 22 Apr 2011 00:54:53 +0000 - tweet id 6

@Year7Numeracy @Coli

basic skills. Eg rounding and usinFri, 22 Apr 2011 00:55:10 +0000 - tweet id 6

@delta_dc @ColinTGrahteachers need to do math togetheFri, 22 Apr 2011 00:55:17 +0000 - tweet id 6

@davidwees Question: H"exact"? #mathchatFri, 22 Apr 2011 00:55:42 +0000 - tweet id 6

@ColinTGraham The whwe need to come back to and dis


umeracy: Mistakes encouraged & embr

231024918630401 - #207

ham One problem is that math teacherssible case. #mathchat231080593829888 - #208

dc @smartinez We often miss out on thevels of specialism... #mathchat231203264630784 - #209

ham Showing every case makes doing& carrying them over hurdles. #mathch

231274966253568 - #210

racy Exactly - @SirKenRobinson talks a#mathchat231299993677824 - #211

ham Alfie Kohn has research showing thains, long term losses #mathchat231405262307331 - #212

wees That's related to one of @jamestaon't know!" #mathchat231429903859712 - #213

es: We have millions of children in schoink the same. #mathchat231463407943680 - #214

nTGraham couldn't agree more. Many ju

it effectively #mathchat231536263004160 - #215

am @smartinez But there's the group inr as well - just for fun #mathchat231564251611136 - #216

ow many students think that a measure

231669767716864 - #217

le question of when and how to interveuss separately! #mathchat


ced to further learning

seem to think that they

e peer-peer learning

ath even moret

bout the difference

at direct instruction

ton's five elements:

ols, huge diversity of

st don't grasp those

etween, too. Math

ent w/ their ruler is

e is probably something


19/24


Fri, 22 Apr 2011 00:55:49 +0000 - tweet id 6

@davidwees Where in yomeasurements? #mathchatFri, 22 Apr 2011 00:56:24 +0000 - tweet id 6

@MmeVeilleux @davidwFri, 22 Apr 2011 00:57:01 +0000 - tweet id 6

@SchoolmarmDE @Yeaestimates/ballparking, some prefeFri, 22 Apr 2011 00:57:11 +0000 - tweet id 6

@mathfour @ColinTGramath" we could get back on track.Fri, 22 Apr 2011 00:57:15 +0000 - tweet id 6

@ColinTGraham @davidaccurately? And wouldn't lasers bFri, 22 Apr 2011 00:57:24 +0000 - tweet id 6

@MmeVeilleux#mathchwith what age?Fri, 22 Apr 2011 00:57:28 +0000 - tweet id 6

@wilderlab I would hopedevelopmentally appropriate... reFri, 22 Apr 2011 00:57:43 +0000 - tweet id 6

@Year7Numeracy @mathow we do it #mathchatFri, 22 Apr 2011 00:57:47 +0000 - tweet id 6

@davidwees @MmeVeill

definition inexact. #mathchatFri, 22 Apr 2011 00:58:01 +0000 - tweet id 6

@jeffreyborsuk @davidmeasurement. #mathchatFri, 22 Apr 2011 00:58:03 +0000 - tweet id 6

@MeghanBenson Lookinsongs/ dances so they will never fFri, 22 Apr 2011 00:58:24 +0000 - tweet id 6

@davidwees @MmeVeillthe measurement. #mathchat


231698339303424 - #218

ur curriculum do you talk about error in s

231846880591872 - #219

ees My hand is up. #mathchat232000534708224 - #220

r7Numeracy Some children are more cor accuracy. #mathchat232045405380608 - #221

am So I guess maybe if you solidified thMaybe? #mathchat232061448593408 - #222

wees And how many can use a ruler toe better... or tape measures... #mathchat232099612569600 - #223

t @davidwees How exact do you want

232115567702018 - #224

that educators of young students would td, you know? #mathchat232176288628736 - #225

hfour Slightly drastic :) Just need to impr

232194638725120 - #226

eux I'd like kids to recognize that any me

232252650131456 - #227

ees nearly all students think that their ru

232263047806976 - #228

g forward to work tomorrow; My high scorget the Quadratic Formula! #mathchat232351535042560 - #229

eux A measurement should not be separ


tandard

fortable with

definition of "doing

easure anywhere near

easurements to be and

hink about what is

ve what we have and

asurement is by

lers provide an exact

oolers are creating

ated from the error in


20/24


Fri, 22 Apr 2011 00:58:29 +0000 - tweet id 6

@ColinTGraham @mathMathematicians.... to suggest whFri, 22 Apr 2011 00:58:34 +0000 - tweet id 6

@Year7Numeracy @davmake a mistake!! #mathchatFri, 22 Apr 2011 00:59:05 +0000 - tweet id 6

@davidwees @Neilstephthe developmental age of the chilFri, 22 Apr 2011 00:59:10 +0000 - tweet id 6

@mathfour @Year7Num

chat back on topic. I'm trying to bFri, 22 Apr 2011 00:59:23 +0000 - tweet id 6

@wilderlab @ColinTGrateaching measurement with younFri, 22 Apr 2011 00:59:34 +0000 - tweet id 6

@ColinTGraham @wildethe end is too abstract just now...(Fri, 22 Apr 2011 00:59:41 +0000 - tweet id 6

@smartinez @mathfourFri, 22 Apr 2011 00:59:50 +0000 - tweet id 6

@mathfour @MeghanBeFri, 22 Apr 2011 00:59:54 +0000 - tweet id 6

@EarlSamuelson RT @look for patterns, know their limits,

Fri, 22 Apr 2011 01:00:13 +0000 - tweet id 6

@MmeVeilleux What?! Y#mathchat@Year7Numeracy @dFri, 22 Apr 2011 01:00:20 +0000 - tweet id 6

@mathfour Mathematiciaproblems.#mathchatFri, 22 Apr 2011 01:00:31 +0000 - tweet id 6

@mathfour MathematiciaFri, 22 Apr 2011 01:00:46 +0000 - tweet id 6


232370426200064 - #230

our Well I did try! Let's throw out statemt we'd like to see our Ss doing. #mathch232392374992896 - #231

idwees and some maths teacher don't e

232523056906240 - #232

enson @millerg6 I think the answer to yren. #mathchat232541553799168 - #233

racy I think the bossman @ColinTGrah

the good kid... ;-) #mathchat232599116419072 - #234

am @davidwees: Kamii has done fantachildren #mathchat

232645362814976 - #235

rlab But also don't cut off the conceptualeg calculus with 4yo) #mathchat232672059572224 - #236

hat is the topic. i missed the beginning232710739439616 - #237

nson Have you heard of Math In Your Fe232729001439232 - #238

olinTGraham: Mathematicians make co, define, postulate, deduce... #mathchat

232808680620032 - #239

u make mistakes! Well, get me outta hevidwees am looking for my own kind ;)232836715364352 - #240

ns think hard and try different things to s

232883301494784 - #241

ns are often wrong, and they're comforta232945586905090 - #242


nts beginning:t

er want to be seen to

ur question depends on

m is trying to get the

tic research on

building blocks because

mathchat

et? #mathchat

nections, ask "what if",

re ...

lve

ble with that. #mathchat


21/24


@ColinTGraham Last twyou'd like to see your students doiFri, 22 Apr 2011 01:00:54 +0000 - tweet id 6

@delta_dc Mathematiciathe new. #mathchatFri, 22 Apr 2011 01:01:00 +0000 - tweet id 6

@MmeVeilleux @ColinTprompt "Mathematicians..."Fri, 22 Apr 2011 01:01:00 +0000 - tweet id 6

@Year7Numeracy @MeFri, 22 Apr 2011 01:01:01 +0000 - tweet id 6

@smartinez MathematiciFri, 22 Apr 2011 01:01:10 +0000 - tweet id 6

@iearnusa RT @smartinFri, 22 Apr 2011 01:01:22 +0000 - tweet id 6

@MmeVeilleux RT @deltthat they can explore the new. #m

Fri, 22 Apr 2011 01:01:31 +0000 - tweet id 6

@mathfour @smartinezabout it. (we're clarifying what "doFri, 22 Apr 2011 01:01:35 +0000 - tweet id 6

@ColinTGraham Matheangles#mathchatFri, 22 Apr 2011 01:01:37 +0000 - tweet id 6

@mathfour Holy cow - isFri, 22 Apr 2011 01:01:49 +0000 - tweet id 6

@SchoolmarmDE Mathereality.#mathchat @mathfourFri, 22 Apr 2011 01:01:56 +0000 - tweet id 6

@MmeVeilleux RT @smFri, 22 Apr 2011 01:02:00 +0000 - tweet id 6

@smartinez @SchoolmaFri, 22 Apr 2011 01:02:10 +0000 - tweet id 6


minutes: Mathematicians... complete thng more of in class #mathchat232977388122112 - #243

s pose problems that alter the known so233004164550657 - #244

raham @mathfour #mathchat Do you w

233002189045760 - #245

hanBenson how did you teach it? #math233010334375936 - #246

ns... make sense of the world #mathch233046136946688 - #247

z: Mathematicians... make sense of the233097689149440 - #248

a_dc: Mathematicians pose problems thathchat

233133667885056 - #249

ow do you get students to do math mormath" means, now) #mathchat233150696767488 - #250

aticians... try to solve the same thing fro

233161325129728 - #251

it 8pm already? #mathchat233208997588993 - #252

maticians use numbers as part of descri

233237271392256 - #253

rtinez: Mathematicians... make sense of233254451261440 - #254

mDE don't worry - it's only 6PM here! it'233297212182528 - #255


e sentence with things

that they can explore

ant us to follow your

chat

t

world #mathchat

t alter the known so

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ing their

the world#mathchat

early! #mathchat


22/24


@MmeVeilleux RT @Sctheir reality. #mathchat @mathfouFri, 22 Apr 2011 01:02:21 +0000 - tweet id 6

@davidwees I agree. Whof the world #mathchatFri, 22 Apr 2011 01:02:23 +0000 - tweet id 6

@MmeVeilleux RT @Coldifferent angles #mathchatFri, 22 Apr 2011 01:02:24 +0000 - tweet id 6

@ColinTGraham MatheFri, 22 Apr 2011 01:02:30 +0000 - tweet id 6

@delta_dc Here is whathttp://t.co/PMvDLWt#mathchatFri, 22 Apr 2011 01:02:32 +0000 - tweet id 6

@memolp RT @mathfouproblems. #mathchatFri, 22 Apr 2011 01:02:33 +0000 - tweet id 6

@mathfour Need more?http://goo.gl/lcQyy#mathchatFri, 22 Apr 2011 01:02:42 +0000 - tweet id 6

@ltfrombc RT @davidwethought, but we want them all to tFri, 22 Apr 2011 01:02:58 +0000 - tweet id 6

@ColinTGraham OK, thacontributions everyone. #mathchaFri, 22 Apr 2011 01:03:14 +0000 - tweet id 6

@tonnet RT @MmeVeillefollow your prompt "MathematiciaFri, 22 Apr 2011 01:03:19 +0000 - tweet id 6

@smartinez @ColinTGra#mathchatFri, 22 Apr 2011 01:03:23 +0000 - tweet id 6

@MmeVeilleux RT @Colpossible #mathchatFri, 22 Apr 2011 01:03:26 +0000 - tweet id 6


oolmarmDE: Mathematicians use numbr233342468726784 - #256

at Sylvia said => RT @smartinez: Mathe233352946102272 - #257

inTGraham: Mathematicians... try to solv

233356028903424 - #258

aticians make as few assumptions as p233382545293312 - #259

reservice MS teachers think it means to

233391462387713 - #260

: Mathematicians think hard and try diffe

233395480535040 - #261

e're talking math in museums in 1 hour

233433745174528 - #262

es: We have millions of children in schoink the same. #mathchat233501139255296 - #263

t's a wrap again... where did the time got233566838833152 - #264

ux: @ColinTGraham @mathfour #mathcs..."233586212323328 - #265

ham Engineers make as many assumpti

233602905649152 - #266

inTGraham: Mathematicians make as fe

233618332295168 - #267


rs as part of describing

maticians... make sense

e the same thing from

ssible #mathchat

do math -

rent things to solve

on #HSMath tweet chat.

ls, huge diversity of

Thanks for your

hat Do you want us to

ns as possible ;-)

assumptions as


23/24


@soingirl MathematicianFri, 22 Apr 2011 01:03:35 +0000 - tweet id 6

@Year7Numeracy MatheFri, 22 Apr 2011 01:03:42 +0000 - tweet id 6

@ColinTGraham Great tword...#mathchatFri, 22 Apr 2011 01:03:54 +0000 - tweet id 6

@MmeVeilleux RT @soiFri, 22 Apr 2011 01:04:20 +0000 - tweet id 6

@MrT_Ro MathematicianFri, 22 Apr 2011 01:04:22 +0000 - tweet id 6

@SchoolmarmDE @smFri, 22 Apr 2011 01:04:25 +0000 - tweet id 6

@ColinTGraham If you wagain on Monday... ;-) #mathchatFri, 22 Apr 2011 01:04:35 +0000 - tweet id 6

@mathfour MathematiciaFri, 22 Apr 2011 01:04:43 +0000 - tweet id 6

@EarlSamuelson RT @embraced to further learning #maFri, 22 Apr 2011 01:04:46 +0000 - tweet id 6

@davidwees RT @mathf#mathchatFri, 22 Apr 2011 01:05:02 +0000 - tweet id 6

@ColinTGraham Next w@mathchat to keep updated! #mFri, 22 Apr 2011 01:05:26 +0000 - tweet id 6

@TripMackay @davidweteach it in math #mathchatFri, 22 Apr 2011 01:05:30 +0000 - tweet id 6

@davidwees @TripMackerror, should pair them together.Fri, 22 Apr 2011 01:06:01 +0000 - tweet id 6


learn from and with each other. #mathc233653560246272 - #268

maticians engage, explore and reason #233683897663488 - #269

see some more new people joining us!

233735554707456 - #270

girl: Mathematicians learn from and with233844174589952 - #271

s inquire, create, solve, prove, and expla233850814185472 - #272

rtinez lol #mathchat233864638611456 - #273

ant to come back and revisit today's topi

233906510344192 - #274

ns are sexy (oh, wait, does that count?)233938349301760 - #275

athfour: RT @Year7Numeracy: Mistakehchat233950282096640 - #276

our: Mathematicians are sexy (oh, wait,

234017877491715 - #277

ek is the last of our "How do I..." series,thchat234119350300672 - #278

es Hardly anything in the world is exact,

234134999240704 - #279

ay Exactly. We teach measurement wellmathchat234267941900288 - #280


hat

mathchat

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each other.#mathchat

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mathchat

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o it is important to

before experimental


24/24

@cherraolthof RT @deltmath - http://t.co/PMvDLWt#mathFri, 22 Apr 2011 01:06:46 +0000 - tweet id 6

@EarlSamuelson RT @comfortable with that. #mathchatFri, 22 Apr 2011 01:07:12 +0000 - tweet id 6

@smartinez @davidweeare talking about really matter. #Fri, 22 Apr 2011 01:07:18 +0000 - tweet id 6

@ColinTGraham Right, I'Fri, 22 Apr 2011 01:08:09 +0000 - tweet id 6

@MrT_Ro The 7 mathemcommunicating, reasoning and prFri, 22 Apr 2011 01:09:17 +0000 - tweet id 6

@wonderjenn Enjoying fmindsets of today's educators anFri, 22 Apr 2011 01:10:08 +0000 - tweet id 6

@MrT_Ro Math processeconnecting, and representing #mFri, 22 Apr 2011 01:11:51 +0000 - tweet id 6

_dc: Here is what preservice MS teachechat234454131257344 - #281

athfour Mathematicians are often wrongnd then they search for reasons234565842350081 - #282

I would think it would have to be clear tathchat234588780998656 - #283

m off to do the archive... catch you all ne234802929569792 - #284

atical processes in the Ontario Curriculuving, reflecting, ....#mathchat

235088825921536 - #286

llowing @wilderlab's #mathchat. Greathow they need to evolve.

235300885737472 - #287

s cont'd: Selecting tools and computatiothchat235732706107392 - #289

rs think it means to do

, and they're

at whatever errors you

xt time. #mathchat

: Problem solving,

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al strategies,

Documents

2011.04.22 How Do I Get Students Doing Mathematics Instead of Just Learning About Mathematics