2011.04.29 How Do I Get My Students to Dig Deeper

8/7/2019 2011.04.29 How Do I Get My Students to Dig Deeper

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Friday, 29th April 2011

@ColinTGraham Hello eFri Apr 29 00:04:02 +0000 2011 - tweet id 63

@mathfour@ColinTGraFri Apr 29 00:04:26 +0000 2011 - tweet id 63

@ColinTGraham As alwthe next hour or so, and don't forgFri Apr 29 00:05:02 +0000 2011 - tweet id 63

@ColinTGraham@mathFri Apr 29 00:05:10 +0000 2011 - tweet id 63

@ColinTGraham This wedeeper?"#mathchatFri Apr 29 00:05:56 +0000 2011 - tweet id 63

@peterflom@ColinTGraFri Apr 29 00:06:40 +0000 2011 - tweet id 63

@ColinTGraham Given tcould be extension/further investiFri Apr 29 00:08:13 +0000 2011 - tweet id 63

@padgets#mathchat heand learning :0)Fri Apr 29 00:09:02 +0000 2011 - tweet id 63

@mathfour@ColinTGrahad a rock in her teeth?" #parentiFri Apr 29 00:09:21 +0000 2011 - tweet id 63

@mathfour@peterflomFri Apr 29 00:09:42 +0000 2011 - tweet id 63

@ColinTGraham@padgFri Apr 29 00:10:02 +0000 2011 - tweet id 63

@halebone@padgets HiFri Apr 29 00:10:27 +0000 2011 - tweet id 63

@padgets@ColinTGrahFri Apr 29 00:10:29 +0000 2011 - tweet id 63

How do I get

eryone, welcome to today's #mathchat755384917204993 - #1

am Hey there! #mathchat755483768569856 - #3

ys, if your tweets are protected you mayet the hashtag --> #mathchat755633861738496 - #4

our Hi Bon! #mathchat755669714649088 - #5

ek's topic is "How do I get my students t755862405156865 - #7

am @mathfour what is topic today? #m756047709507584 - #8

e context of the last two weeks' discussiation or planned! #mathchat

756434877333504 - #9

everybody! I am Sharon and I am a HS

756639974600704 - #10

am Wow - almost had to depart. The wog#mathchat

756721386033152 - #11

ey, Peter! #mathchat756809994899456 - #12

ts Hi Sharon. #mathchat756893251833857 - #13

, Sharon! Welcome! #mathchat756997794873344 - #14

m #mathchat hi there!757006611283968 - #15

my students to dig deeper?

want to unprotect for

dig

thchat

ons, "digging deeper"

science teacher lurking

rds: "Did you know she


2/27


@mathfour I wonder if dicommutativity, etc. #mathchatFri Apr 29 00:10:36 +0000 2011 - tweet id 63

@padgets@halebone #Fri Apr 29 00:10:41 +0000 2011 - tweet id 63

@EDUCATIONCEO I migwelcome to today's #mathchatFri Apr 29 00:10:43 +0000 2011 - tweet id 63

@ColinTGraham@EDUnot! ;-) #mathchatFri Apr 29 00:11:42 +0000 2011 - tweet id 63

@ColinTGrahamWhat islessons?#mathchatFri Apr 29 00:12:27 +0000 2011 - tweet id 63

@padgets#mathchat formrs. p!Fri Apr 29 00:13:13 +0000 2011 - tweet id 63

@ColinTGraham@haleFri Apr 29 00:13:21 +0000 2011 - tweet id 63

@halebone digging deepall when they are otherwise. #matFri Apr 29 00:13:56 +0000 2011 - tweet id 63

@ColinTGraham@padgasking so many questions? #matFri Apr 29 00:14:21 +0000 2011 - tweet id 63

@wilderlab What is makDifficult when teachers emphasizFri Apr 29 00:14:40 +0000 2011 - tweet id 63

@mathfour@ColinTGrathem?#mathchatFri Apr 29 00:14:58 +0000 2011 - tweet id 63

@ColinTGraham@wildediscouraging.#mathchatFri Apr 29 00:15:14 +0000 2011 - tweet id 63

How do I get

ging deeper couldn't also be "digging sh

757035715571712 - #16

athchat Hi there!757056984891393 - #17

ht #tweevesdrop tonight. RT @colintgra

757065465769986 - #18

ATIONCEO All are welcome whether vi

757310803189760 - #19

makes "digging deeper" easier or difficu

757500738048000 - #20

me easier sometimes I question so muc

757695278256128 - #21

one Hi Haley, did you sort out your tech757728421646336 - #22

r happens naturally when students arehchat757875641716736 - #23

ts Do you think you are doing the digginchat

757978431524864 - #24

es "digging deeper" easier or difficult in yrightness or wrongness

758058731487232 - #26

am @padgets Good point - should you

758134795186176 - #27

rlab So cutting off avenues of exploration

758202348638208 - #28


allower" - like proving

am: Hello everyone,

sible #tweevesdrop or

lt in your

someone says enough

issues? ;-) #mathchat

ngaged ... and not at

g there, though, by

our lessons?#mathchat

uestion or let

is


3/27


@mathfour@ColinTGrawrong. They say, "Is that it?" I sayFri Apr 29 00:15:52 +0000 2011 - tweet id 63

@ColinTGraham@mathpart of "doing mathematics" so neFri Apr 29 00:16:07 +0000 2011 - tweet id 63

@halebone and dif. when@wilderlab:#mathchat Difficult wFri Apr 29 00:16:24 +0000 2011 - tweet id 63

@delta_dc The idea of "b#mathchat

Fri Apr 29 00:16:30 +0000 2011 - tweet id 63

@mathfour@wilderlab Ifproceed from there... #mathchatFri Apr 29 00:16:31 +0000 2011 - tweet id 63


@padgets#mathchat welasking firstFri Apr 29 00:17:06 +0000 2011 - tweet id 63

@mathfour@delta_dc OALL semester! #mathchatFri Apr 29 00:17:25 +0000 2011 - tweet id 63

@vtdeacon@mathfourthe right solution but instead its aFri Apr 29 00:17:25 +0000 2011 - tweet id 63

@wilderlab So cutting offrequently see right vs wrong... onFri Apr 29 00:17:35 +0000 2011 - tweet id 63

@republicofmath I've hadeeper"#mathchatFri Apr 29 00:17:44 +0000 2011 - tweet id 63

@ColinTGraham@deltaFinishing steps is an important paFri Apr 29 00:17:47 +0000 2011 - tweet id 63

How do I get

am My favorite way is to always questio, "Is it?" #mathchat758362390695936 - #29

our @padgets Need to bear in mind thateds to be encouraged... #mathchat758425905037312 - #30

std have been trained to ask - who's rigen teachers emphasize rightness or wr

758493529804800 - #31

eing done" is also an issue with getting s

758519865839617 - #32

we assume everything is right (or everyt

758524353748993 - #33

our "Is it?" Uh-oh she's being onnery ag758593316495360 - #34

l this usually happens after we conclude

758669715734529 - #35

H! I had a prof that would return proofs f

758750862942208 - #36

ColinTGraham absolutely! I do the samout the thinking #mathchat

758751395622913 - #37

avenues of exploration is discouraging.e way, the teacher's way758791631581184 - #38

success with just saying: "you could di

758828981858305 - #39

dc Is there a point where something is firt of success... #mathchat758845004091393 - #40


their solution - right or

the ability to question is

t? RTngness

tudents to dig deeper.

ing is wrong) and the

in... ;-) #mathchat

a lab when they start

r redo - over and over

- that way it isn't about

#mathchat Yes, and I

a little

nished, though?


4/27


@decisionstats RT @relittle deeper" #mathchatFri Apr 29 00:18:19 +0000 2011 - tweet id 63

@ColinTGraham@wildenot confident about their own matFri Apr 29 00:18:30 +0000 2011 - tweet id 63

@mathfour@ColinTGratone that gives the "right" away. I lFri Apr 29 00:18:30 +0000 2011 - tweet id 63

@mathfour@vtdeaconokay with stopping there, too. #m

Fri Apr 29 00:19:25 +0000 2011 - tweet id 63

@republicofmath Noting@ColinTGraham @delta_dc #maFri Apr 29 00:19:27 +0000 2011 - tweet id 63

@ColinTGraham@repu'engaged' students at any age, buFri Apr 29 00:19:32 +0000 2011 - tweet id 63

@mathfour Simple. Nice.could dig a little deeper" #mathchFri Apr 29 00:19:52 +0000 2011 - tweet id 63

@MrT_Ro In order to getmore than one way and then makFri Apr 29 00:19:53 +0000 2011 - tweet id 63

@wilderlab Agree! @re

always dig deeper. #mathchatFri Apr 29 00:20:29 +0000 2011 - tweet id 63

@republicofmath Point imore lurking beneath the surface:Fri Apr 29 00:20:35 +0000 2011 - tweet id 63

@delta_dc@ColinTGrah2 B aware that there's always a "Fri Apr 29 00:20:36 +0000 2011 - tweet id 63

@mathfour I agree. RTcan always dig deeper. #mathcha

How do I get

ublicofmath: I've had success with just s

758976776544257 - #41

rlab teacher's way vs. other can be insidiematical ability #mathchat759022423154688 - #42

am Nope - I really ask that. I never giveet them decide. #mathchat759025652768768 - #43

ColinTGraham And if a student is wronthchat

759253097295873 - #44

in #mathematics is ever finished. We cahchat759261573988352 - #45

licofmath With what ages? I could see tt others...? #mathchat759284487458816 - #46

RT @republicofmath: Ive had successt

759365865349120 - #47

students to dig deeper in math, I like to aconnections. #mathchat

759373113110528 - #48

ublicofmath: Noting in #mathematics is e

759523625697281 - #49

, whatever conclusion you've reached indig deeper! #mathchat

759546270744577 - #50

am A product (proof, solution) can be finihat if" to explore #mathchat

759550423113728 - #51

republicofmath: Nothing in #mathematic


aying: "you could dig a

ous where teacher is

hem body language or

and confident it in, I'm

always dig deeper.

is working with

ith just saying: "you

sk students to solve in

ver finished. We can

#math there's always

shed but I want learners

s is ever finished. We


5/27


Fri Apr 29 00:20:49 +0000 2011 - tweet id 63

@halebone But, the succnever really "finished" ... just ... pFri Apr 29 00:20:52 +0000 2011 - tweet id 63

@ColinTGraham@repuis about beginnings... everything fFri Apr 29 00:21:01 +0000 2011 - tweet id 63

@mathfour Good one! Rand then make connections. #matFri Apr 29 00:21:41 +0000 2011 - tweet id 63

@padgets#mathchat sorFri Apr 29 00:22:07 +0000 2011 - tweet id 63

@climeguy The more enwe mean by "engagingly mathy"Fri Apr 29 00:22:21 +0000 2011 - tweet id 63

@delta_dc I've gotten in tpossibly finish so that they focusFri Apr 29 00:22:39 +0000 2011 - tweet id 63

@ColinTGraham@MrT_for Ss to see how to 'triangulate'.Fri Apr 29 00:22:39 +0000 2011 - tweet id 63

@mathfour@ColinTGrastart is before the 1st principles. #Fri Apr 29 00:23:00 +0000 2011 - tweet id 63

@republicofmath@mat

Fri Apr 29 00:23:31 +0000 2011 - tweet id 63

@halebone@delta_dc inFri Apr 29 00:23:34 +0000 2011 - tweet id 63

@mathfour@ColinTGrainternal bits can match up so theyFri Apr 29 00:24:08 +0000 2011 - tweet id 63

@MrT_Ro The Ont. mathexpectations which encourages diFri Apr 29 00:24:16 +0000 2011 - tweet id 63

How do I get

759608208035841 - #52

ess we're aiming for includes looking forused. #mathchat759621025832960 - #53

licofmath Maybe the whole focus shouldollows from 1st principles? #mathchat759659043004417 - #54

@MrT_Ro: I like to ask students to solvhchat759823170314240 - #55

ry watching the Big Bang this is awesom759932595515392 - #56

aging it is the deeper they will dig. Themathchat759992485974016 - #57

he habit of giving questions on exams thn doing math. #mathchat

760069208182784 - #58

Ro It may be difficult in some situations tow do you facilitate? #mathchat

760070118359040 - #59

am @republicofmath We define our owmathchat760155501797376 - #60

four We're on the same wavelength toni

760287853051904 - #61

teresting! what GL? #mathchat760300289179650 - #62

am @MrT_Ro Carefully constructed procan see similarities. #mathchat

760441284894720 - #63

curriculum states, "Using a variety of strgging deeper in math. #mathchat760473295826944 - #64


extensions ... so, we're

be that #mathematics

e in more than one way

(as i tweet)

evil of course is what

at my learners cannot

o take that approach or

1st principles. The

ht! #mathchat

blems where the

tegies..." for many


6/27


@ColinTGraham@climeover, especially in middle/secondFri Apr 29 00:24:25 +0000 2011 - tweet id 63

@republicofmath@climmore engaged. They feel the powFri Apr 29 00:24:39 +0000 2011 - tweet id 63

@mathfour@republicofyou would have seen more of me.Fri Apr 29 00:24:40 +0000 2011 - tweet id 63

@delta_dc@halebone thany level. Here's an example http:

Fri Apr 29 00:24:47 +0000 2011 - tweet id 63

@mathfour Use the forceworking #mathchatFri Apr 29 00:25:34 +0000 2011 - tweet id 63

@MrHonner I like @wildefocus on creating questions, ratheFri Apr 29 00:25:42 +0000 2011 - tweet id 63

@republicofmath Re "diteaching students? #mathchatFri Apr 29 00:26:33 +0000 2011 - tweet id 63

@ColinTGraham@maththe min number of postulates youFri Apr 29 00:26:43 +0000 2011 - tweet id 63

@mathfour@MrHonner I

create their own questions AND aFri Apr 29 00:27:13 +0000 2011 - tweet id 63

@delta_dc I think it disco"coverage" have any thing to doFri Apr 29 00:27:27 +0000 2011 - tweet id 63

@climeguy I like posingfollowup questioning will make it gFri Apr 29 00:27:38 +0000 2011 - tweet id 63

@mathfour@republicofCoverage is taken very seriously.

How do I get

guy I think there is always that 'time/covry classes. #mathchat

760512441262080 - #65

guy. I also find that if I ask them to dig der of their minds working #mathchat760573376118784 - #66

ath I think we usually are. Alas, I'm dela#mathchat

760576773505024 - #67

ese are preservice teachers but I would//t.co/MagfvaC#mathchat

760606334943232 - #68

, Luke. RT @republicofmath: They feel t

760802800353280 - #69

rlab's remark about rightness/wrongnessr than answering them.#mathchat760833771085824 - #70

ging deeper": does "coverage" have any

761050071347201 - #71

our @republicofmath The key point to 1can base assumptions on #mathchat761093545299968 - #72

prefer to just stand back and make sure

nswers. #mathchat761217914802176 - #73

rages it >> RT @republicofmath: Re "diith teaching students? #mathchat761276656041984 - #74

eat phenomena that sparks their intereso it deeper. #mathchat761321811906560 - #75

ath There IS a dress code in most U.S.#mathchat


rage' issue hanging

eeper they become

ed in my RSS feed or

o the same thing at

e power of their minds

. Similarly, I like to

thing to do with

t principles is defining

no one gets hurt. They

ging deeper": does

& questions. The

chools, you know.


7/27


Fri Apr 29 00:27:46 +0000 2011 - tweet id 63

@republicofmath Say wthe min number of postulates youFri Apr 29 00:27:46 +0000 2011 - tweet id 63

@delta_dc@MrHonnerposers. #mathchatFri Apr 29 00:28:11 +0000 2011 - tweet id 63

@ColinTGraham@repuas being 'fact' or 'true' before youFri Apr 29 00:28:47 +0000 2011 - tweet id 63

@mathfour@ColinTGra

can't determine the number of poFri Apr 29 00:29:06 +0000 2011 - tweet id 63

@MrHonner@mathfouryou do, challenge correct answerFri Apr 29 00:29:10 +0000 2011 - tweet id 63

@MrHonnerMy standard#mathchatFri Apr 29 00:29:32 +0000 2011 - tweet id 63

@mathfour@ClimeGuy#mathchatFri Apr 29 00:30:00 +0000 2011 - tweet id 63

@climeguy Caught you gback. #mathchatFri Apr 29 00:30:19 +0000 2011 - tweet id 63

@delta_dc@ColinTGrahBut once in place then there is chFri Apr 29 00:30:27 +0000 2011 - tweet id 63

@padgets#mathchat darFri Apr 29 00:30:47 +0000 2011 - tweet id 63

@mathfour@delta_dcrealize they ALREADY ARE problFri Apr 29 00:30:47 +0000 2011 - tweet id 63

@republicofmath I learnto "Is this correct?" is "That is a v

How do I get

761354108047360 - #76

at?! @ColinTGraham The key point to 1can base assumptions on #mathchat761354242273281 - #77

wilderlab I agree. We need to help lear

761460081344512 - #78

licofmath You have to define what you ao farther... #mathchat

761613072764928 - #79

am @republicofmath Um... a postulate i

tul's to make assumption. #mathchat761690302496768 - #80

nowing how to get out of the way is imp. #mathchat

761707268448256 - #81

response to "Is this correct?" is "That is

761798762987520 - #82

hat's assuming that what you pose will i

761918267113473 - #83

uys on a Starbucks (free wifi) break. Got

761997501710336 - #84

am @republicofmath conditions R impornce to play "what if?" #mathchat

762032385724417 - #85

n windows update I missed the last 3 mi762116083060736 - #86

MrHonner @wilderlab I disagree - I thinem posers. #mathchat762116968067072 - #87

d this from W. Gary Martin @ MrHonnerry good question". #mathchat


st principles is defining

ers to be problem

re assuming at the start

an assumption. You

rtant! I also do what

a very good question".

ndeed spark curiosity.

a go. Will definitely be

ant - & often ignored.

!!

students need to

My standard response


8/27


Fri Apr 29 00:31:01 +0000 2011 - tweet id 63

@mathfour@ColinTGrasure how many assumptions havFri Apr 29 00:31:36 +0000 2011 - tweet id 63

@ColinTGrahamWhat dexample... Is 1+1=2 always true?Fri Apr 29 00:31:39 +0000 2011 - tweet id 63

@delta_dc I stand correcrealize they ALREADY ARE problFri Apr 29 00:31:47 +0000 2011 - tweet id 63

@padgets#mathchat lovFri Apr 29 00:31:54 +0000 2011 - tweet id 63

@crombies Just checkedchapters to go! Better talk fast...#Fri Apr 29 00:32:27 +0000 2011 - tweet id 63

@MrHonnerWell-structurusually easy to suggest ways to dFri Apr 29 00:32:29 +0000 2011 - tweet id 63

@ColinTGraham@climeFri Apr 29 00:32:32 +0000 2011 - tweet id 63

@POWERORGmath RTyou can define area, for example..Fri Apr 29 00:32:39 +0000 2011 - tweet id 63

@mathfour@padgets YChaos ensued. The fighting kind,

Fri Apr 29 00:32:57 +0000 2011 - tweet id 63

@republicofmath I don'ttheorem in terms of counting blocFri Apr 29 00:33:18 +0000 2011 - tweet id 63


@POWERORGmath AnoFri Apr 29 00:33:44 +0000 2011 - tweet id 63

How do I get

762174425833472 - #88

am @republicofmath Gotta start with, "Aanything to do with it. #mathchat

762318391132162 - #89

you need to accept as "true" before yo#mathchat762334761496576 - #90

ed :) >> MT @mathfour: I disagree - I thiem posers. #mathchat762368559202304 - #91

the what if question :0)762396036071425 - #92

today, 12 algebra classes left for new mathchat

762532460011520 - #93

ed projects are also great for digging deo a little more. #mathchat762544522821632 - #94

guy Thanks for dropping by! #mathchat762554568196097 - #95

ColinTGraham: What do you need to a. Is 1+1=2 always true? #mathchat762586419736576 - #96

u missed a lot. I kicked @ColinTGrahamnot the math kind. #mathchat

762661720072192 - #97

see 1+1 =2 as digging deeper. I see thintowers as digging deeper. #mathchat

762747950759937 - #98

our @padgets No bean soup though! #762779349331968 - #99

ther great #mathchat stream! See you all762858596515841 - #100


ssume..." But I'm not

can define area, for

nk students need to

aterial to cover and 2.5

per, because it's

ccept as "true" before

. He punched me.

ing about binomial

athchat

soon!


9/27


@MrHonner@padgetsquestions. #mathchatFri Apr 29 00:33:58 +0000 2011 - tweet id 63

@ColinTGraham@repubases is not digging deeper? #maFri Apr 29 00:34:02 +0000 2011 - tweet id 63

@republicofmath Yeah:Fri Apr 29 00:34:04 +0000 2011 - tweet id 63

@padgets@mathfour #missed the soup again!!!Fri Apr 29 00:34:08 +0000 2011 - tweet id 63

@ColinTGraham@POWFri Apr 29 00:34:50 +0000 2011 - tweet id 63

@padgets#mathchat @Fri Apr 29 00:34:51 +0000 2011 - tweet id 63

@MrHonner@republicofpost, yes? #mathchat

Fri Apr 29 00:35:04 +0000 2011 - tweet id 63

@padgets@mathfour #Fri Apr 29 00:35:14 +0000 2011 - tweet id 63

@POWERORGmath Hi,Fri Apr 29 00:35:34 +0000 2011 - tweet id 63

@LaToniyaAJones Hi, BFri Apr 29 00:35:35 +0000 2011 - tweet id 63

@padgets@MrHonner #Fri Apr 29 00:35:36 +0000 2011 - tweet id 63

@republicofmath I wouldsystems or number-bases is not dFri Apr 29 00:35:42 +0000 2011 - tweet id 63

@mathfour@republicofall over the place then we can digFri Apr 29 00:37:01 +0000 2011 - tweet id 63

How do I get

jamestanton has built an entire library o

762916696006656 - #101

licofmath So questioning notation of plathchat762933141868544 - #102

what if ...?" @ padgets #mathchat love t762940909715457 - #103

athchat goodness don 't make me tweet

762955946295296 - #104

ERORGmath Bye LaToniya #mathchat763133231153153 - #105

olinTGraham are you ok little buddy? :0763137408667648 - #106

ath That name sounds familiar: you've

763191552950273 - #107

athchat so did you do a headlock?763236851429376 - #108

ye @ColinTGraham #mathchat Must D763319638601728 - #109

e @ColinTGraham #mathchat Must Do763320854949888 - #110

athchat have a website?763328144650240 - #111

say so, but ....@ColinTGraham questioigging deeper? #mathchat763354031890432 - #112

ath @ColinTGraham It depends. If youTHAT deep. #mathchat763682366193665 - #113


wonderful "what if"

e systems or number-

he what if question :0)

in there! LOL LOL darn

entioned him in a blog

on my calendar!

on my calendar!

ing notation of place

ant to go all Bourbaki


10/27


@MrT_Ro@ColinTGrahdigging deeper. Probably more difFri Apr 29 00:37:15 +0000 2011 - tweet id 63

@ColinTGraham The debackwards to the assumptions onFri Apr 29 00:37:37 +0000 2011 - tweet id 63

@padgets#mathchat whFri Apr 29 00:37:37 +0000 2011 - tweet id 63

@mathfour@MrT_Ro @place to dig deep. #mathchatFri Apr 29 00:37:52 +0000 2011 - tweet id 63

@EDUCATIONCEO RTdig deeper?" #mathchatFri Apr 29 00:38:02 +0000 2011 - tweet id 63

@mathfour@padgets httmathematicians getting together tFri Apr 29 00:38:12 +0000 2011 - tweet id 63

@mathfour@padgets Abook or 20 before it to REALLY eFri Apr 29 00:38:41 +0000 2011 - tweet id 63


@republicofmath Dig a liFri Apr 29 00:38:47 +0000 2011 - tweet id 63

@EDUCATIONCEO RTis discouraging. #mathchatFri Apr 29 00:38:49 +0000 2011 - tweet id 63

@mathheadinc Yeah! Rdeep.#mathchatFri Apr 29 00:38:52 +0000 2011 - tweet id 63

@delta_dc@republicofm

deeper require a set plan or is it oFri Apr 29 00:38:54 +0000 2011 - tweet id 63

How do I get

m I'm coming from more of an elementaficult for Ss #mathchat763743057780736 - #114

th of digging could be going farther intowhich the 'facts' are based #mathchat763835202453504 - #115

a who or what is Bourbaki?763836070670336 - #116

ColinTGraham Whoa, there, killer. I thin

763896359600128 - #117

colintgraham: This week's topic is "How

763939997126656 - #118

p://en.wikipedia.org/wiki/Nicolas_Bourbawrite a book. #mathchat

763980157595648 - #119

d then they decided that to write the booplain the foundation #mathchat

764102090203136 - #120

athchat thanks! I am ok now764107119165440 - #121

ttle deeper http://wp.me/p1mk0j-1dZ #m764127402835968 - #122

colintgraham: @wilderlab So cutting off

764134805782528 - #123

@mathfour I think elementary is the be

764147569041409 - #124

ath @colintgraham We had this discussi

k to dig willy-nilly? #mathchat764158629429249 - #125


y perspective on

he topic or going

elementary is the best

do I get my students to

ki Group of

k right, it would need a

thchat

avenues of exploration

t place to dig

n Wed. Does digging


11/27



@EDUCATIONCEO RT

is part of "doing mathematics" soFri Apr 29 00:39:18 +0000 2011 - tweet id 63

@padgets#mathchat I aFri Apr 29 00:39:20 +0000 2011 - tweet id 63

@ColinTGraham@mathundergrads think all triangles alwFri Apr 29 00:39:33 +0000 2011 - tweet id 63

@mathfour@padgets "Bever.#mathchatFri Apr 29 00:39:35 +0000 2011 - tweet id 63

@MrT_Ro@mathfour deFri Apr 29 00:39:53 +0000 2011 - tweet id 63

@mathfour@delta_dcWilly nilly. #mathchat

Fri Apr 29 00:39:57 +0000 2011 - tweet id 63

@mathheadinc@delta_connections will be made. #mathcFri Apr 29 00:40:06 +0000 2011 - tweet id 63

@EDUCATIONCEO RTstudents 2 solve in more than 1 wFri Apr 29 00:40:24 +0000 2011 - tweet id 63

@stefras Therein lies itsfinished. We can always dig deepFri Apr 29 00:40:28 +0000 2011 - tweet id 63

@padgets#mathchat ohFri Apr 29 00:40:38 +0000 2011 - tweet id 63

@EDUCATIONCEO@mrdo a problem the way teachers w

Fri Apr 29 00:41:02 +0000 2011 - tweet id 63

How do I get

athchat ohh geezeee764178023886848 - #126

colintgraham: Need to bear in mind that

eeds to be encouraged... #mathchat764257145241600 - #127

partial to williy nilly myself764267073155072 - #128

our @MrT_Ro Elementary school or eleys sum to 180 internally... #mathchat764321188069376 - #129

ourbaki" wrote some of the most amazin

764330092564480 - #130

initely agree with you there. #mathchat764405220933633 - #131

republicofmath @colintgraham Willy nill

764423726206977 - #132

c Don't need a set plan unless you wanthat764459549757441 - #133

mrt_ro In order 2 get students 2 dig deeay & then make connections. #mathchat764534376144896 - #134

agic! RT @republicofmath: Nothing inr. #mathchat

764550218035201 - #135

no she is going going going...going goin764592404344832 - #136

t_ro Believe it or not, some students getnts, even they get it correct #mathchat

764695127031808 - #137


the ability to question

entary digging? Many

math texts

. Willy nilly. Willy nilly.

or need to. The

per in math, I like 2 ask

mathematics is ever

LOL@mathfour

penalized if they don't


12/27


13/27


@padgets#mathchat AHFri Apr 29 00:43:47 +0000 2011 - tweet id 63

@republicofmath Them !

buds got me in the knowFri Apr 29 00:43:52 +0000 2011 - tweet id 63

@mathfour I love Gary Rbloody nilly! Whatever it takes toFri Apr 29 00:44:03 +0000 2011 - tweet id 63

@padgets#mathchat opFri Apr 29 00:44:25 +0000 2011 - tweet id 63

@mathheadinc@ColinTsomething differently?" #mathchaFri Apr 29 00:44:29 +0000 2011 - tweet id 63

@ColinTGraham@mathwasn't following the 'learned algorFri Apr 29 00:44:37 +0000 2011 - tweet id 63

@crownkindqueen@ED

students think the answer is sufficFri Apr 29 00:44:44 +0000 2011 - tweet id 63

@danielespejo@ColinTdig deep by asking "what assumpFri Apr 29 00:44:44 +0000 2011 - tweet id 63

@kristigrande@mathheso this idea makes them really unFri Apr 29 00:45:46 +0000 2011 - tweet id 63

@mathheadinc@ColinTcan be too late for some. #mathcFri Apr 29 00:45:48 +0000 2011 - tweet id 63

@MrT_Ro great post by#mathchatFri Apr 29 00:46:00 +0000 2011 - tweet id 63

@EDUCATIONCEO@coas we understood how & why weFri Apr 29 00:46:08 +0000 2011 - tweet id 63

How do I get

HHH glad I am in Iowa!765387396923392 - #150

! @padgets #mathchat nope never hear

765406380343296 - #151

@republicofmath: Dig to a plan, and ifo deeper. #mathchat

765451951448064 - #152

s sorry them :0)@republicofmath765547753549824 - #153

raham A favorite of mine: "What happe

765560864948224 - #154

eadinc Or they never saw that as beingithm' #mathchat765597716094976 - #155

UCATIONCEO @mrt_ro OH and please

ient. #mathchat765624257646592 - #156

raham When students propose solutionions or theoriems are you using" #math

765627210432512 - #157

dinc @ColinTGraham Many teachers domfortable. #mathchat

765886976270336 - #158

raham Exactly! That has to start when tat765893116735488 - #159

republicofmath ~~dig a little deeper htt

765945541345280 - #160

lintgraham I am glad my math teachersot right answer, that was enough #math

765977048948736 - #161


of him her? my math

hat doesnt work, willy

s when you do

'maths' because it

show all your work. My

s I challenge them tohat

n't know multiple ways

hey are little. College

://wp.me/p1mk0j-1dZ

eren't like that.As longchat


14/27


15/27


Fri Apr 29 00:47:57 +0000 2011 - tweet id 63

@republicofmath#mathfFri Apr 29 00:48:12 +0000 2011 - tweet id 63

@ColinTGraham@EDUanswer is 'right', if that is what is iFri Apr 29 00:48:21 +0000 2011 - tweet id 63

@padgets#mathchat staFri Apr 29 00:48:32 +0000 2011 - tweet id 63

@mathfour@mathheadiFri Apr 29 00:48:46 +0000 2011 - tweet id 63

@kristigrande@mathheto change this. #mathchatFri Apr 29 00:48:56 +0000 2011 - tweet id 63

@stefras@republicofmatnot testing postulates to minimizeFri Apr 29 00:49:00 +0000 2011 - tweet id 63

@mathfour Thank you. ;-

#mathchat#hashtag#mathchatFri Apr 29 00:49:06 +0000 2011 - tweet id 63

@ColinTGraham@MrHoencourage laziness and lack of criFri Apr 29 00:49:16 +0000 2011 - tweet id 63

@padgets#mathchat heFri Apr 29 00:49:16 +0000 2011 - tweet id 63

@stefras YES! RT @repa very good question". #mathchatFri Apr 29 00:49:47 +0000 2011 - tweet id 63

@mathfour@republicofend for you. Great for people likeFri Apr 29 00:49:54 +0000 2011 - tweet id 63

@MrHonner@republicof

dig a little deeper by modeling it yFri Apr 29 00:50:08 +0000 2011 - tweet id 63

How do I get

766433955446785 - #174

our#mathchat#mathchat#hashtag766497855684608 - #175

ATIONCEO The key point here is beingportant... #mathchat

766537802235904 - #176

s of football (not soccer kind) drive me n766581339099136 - #177

c Okay - I thought it was some slang or766639602184193 - #178

dinc You've got that right! That's why w

766680614092800 - #179

h I tke 1st principles to mean approachinthe number used. #mathchat766698045620225 - #180

) RT @republicofmath: #mathfour#math

766722431299584 - #181

nner Unfortunately, the "one click away"tical thinking... #mathchat766764416274433 - #182

there's the Iowa boy!766768069513216 - #183

blicofmath: My standard response to "Is

766894813003778 - #184

ath Y'know - if you use tweetchat it crae. #mathchat

766925917958144 - #185

ath @kristigrande That's a great point.

urself! #mathchat766983925186560 - #186


able to say why the

uts talk about deeper!

something.#mathchat

have to work very hard

g a task from scratch,

hat

may (probably does)

this correct?" is "That is

s the hashtag on the

Encourage students to


16/27


@ColinTGraham@maththe goose, sauce for the gander...Fri Apr 29 00:50:22 +0000 2011 - tweet id 63

@mathheadinc@ColinTto know how they got there. #matFri Apr 29 00:50:38 +0000 2011 - tweet id 63

@padgets#mathchat weFri Apr 29 00:50:50 +0000 2011 - tweet id 63

@kristigrande@MrHonnresources to the masses. It's unbFri Apr 29 00:51:10 +0000 2011 - tweet id 63

@mathheadinc@kristigrFri Apr 29 00:51:20 +0000 2011 - tweet id 63

@ColinTGraham@mathyou work this out in your head...Fri Apr 29 00:51:29 +0000 2011 - tweet id 63

@MrHonner@ColinTGra

need to teach students how to usFri Apr 29 00:51:42 +0000 2011 - tweet id 63

@delta_dc YES! >> MTEncourage students to dig a littleFri Apr 29 00:51:50 +0000 2011 - tweet id 63

@mathheadinc RT @Colyou work this out in your head...Fri Apr 29 00:52:00 +0000 2011 - tweet id 63

@republicofmath@matanswers to all problems. How to gFri Apr 29 00:52:34 +0000 2011 - tweet id 63

@ColinTGraham@MrHokind of mediation. I don't think weFri Apr 29 00:52:48 +0000 2011 - tweet id 63

@mathheadinc@ColinTanswer? Put your thinking on papFri Apr 29 00:52:51 +0000 2011 - tweet id 63

How do I get

eadinc @mathfour I thought you were gho-hum! #mathchat

767043203280898 - #187

raham Many students show me answerchat767108693143553 - #188

just did fossil dig diggin deep with geolo767160522153985 - #189

er That's true. We need to keep workinglievable how many don't know! #mathch

767244387262464 - #190

nde Sadly, most teachers don't have th767288196767744 - #191

eadinc I often come back to the mentalrite it down.... #mathchat767323659616256 - #192

ham Yes, the internet can enable lazine

it responsibly! #mathchat767378252673025 - #193

MrHonner: @republicofmath @kristigraeeper by modeling it yourself! #mathch

767413077966848 - #194

inTGraham I often come back to the merite it down.... #mathchat767453116805120 - #195

headinc Last semester I used Diff Eqs bet there ... !! #mathchat767597681885184 - #196

nner Responsible use of internet resourcan just 'throw' them at Ss #mathchat767655869452288 - #197

raham I say, " How will your teacher knr." #mathchat

767668725002240 - #198


oing on about sauce for

s without work. I want

ical time

hard to get theseat

power. #mathchat

arithmetic... how did

s, but that's why we

nde GR8 PT.t

tal arithmetic... how did

ook that had all

es also requires some

ow how you got to the


17/27


@kristigrande@mathheFri Apr 29 00:53:23 +0000 2011 - tweet id 63

@mathfour@mathheadi

answer" makes it about you. It's nFri Apr 29 00:53:28 +0000 2011 - tweet id 63

@ColinTGraham@mathalgebra is written the way it is... sFri Apr 29 00:53:55 +0000 2011 - tweet id 63

@MrT_RoWhat preventshelplessness and lack of perseveFri Apr 29 00:54:19 +0000 2011 - tweet id 63

@mathfour@ColinTGranot natural then you're killing theFri Apr 29 00:54:23 +0000 2011 - tweet id 63

@halebone@mathheadi'right' or 'wrong' way to work it outFri Apr 29 00:54:30 +0000 2011 - tweet id 63

@ColinTGraham@mathhow you did something so othersFri Apr 29 00:54:35 +0000 2011 - tweet id 63


@padgets#mathchat okiTake care stay safe and tweet yoFri Apr 29 00:54:51 +0000 2011 - tweet id 63

@delta_dc@mathheadinthink audience and purpose. #maFri Apr 29 00:54:56 +0000 2011 - tweet id 63

@mathfour@mathheadigot the answer. It isn't about us! #Fri Apr 29 00:55:02 +0000 2011 - tweet id 63

@republicofmath Yeah,know how they get the answer" mFri Apr 29 00:55:23 +0000 2011 - tweet id 63

How do I get

dinc Why? Are you saying they're being767800677801984 - #199

c @ColinTGraham Saying "I want to kn

ot about YOU! #mathchat767823620653056 - #200

eadinc The "write it down" often gets thorthand for sentences! #mathchat

767936048959488 - #201

students from digging deeper in math?ance is disturbing #mathchat768035256840192 - #202

am @mathheadinc Quit making kids wri! #mathchat

768054852616192 - #203

c Some stds want to know what work toin their heads. #mathchat

768084795764736 - #204

our @mathheadinc totally disagree. It'san understand/follow. #mathchat

768102592184321 - #205

nde They? #mathchat768121143599104 - #206

dokie need to grade labs best get startall next time :0)

768172729344001 - #207

c @ColinTGraham We talk about makinhchat768192954281984 - #208

c @ColinTGraham Your teacher doesn'mathchat768216660475905 - #209

ight! Who do we think we are? @mathfoakes it about you. Not about YOU! #mat768307521683456 - #210


held back?#mathchat

w how they get the

ough to 13/14yo why

ometimes the learned

e stuff down! If that's

show - like there is a

bout communicating

d lots of reading to do

your thinking visible -

need to know how you

ur Saying "I want tochat


18/27


@mathfour@ColinTGracommunication! #mathchatFri Apr 29 00:55:31 +0000 2011 - tweet id 63

@ColinTGraham@mathabout clarifying thought process aFri Apr 29 00:55:32 +0000 2011 - tweet id 63

@kristigrande@delta_dstudents! @MrHonner @republicFri Apr 29 00:55:36 +0000 2011 - tweet id 63

@MrHonner@ColinTGramanage themselves. #mathchat

Fri Apr 29 00:55:37 +0000 2011 - tweet id 63

@mathheadinc@mathfoto be taken seriously and so do mFri Apr 29 00:56:07 +0000 2011 - tweet id 63

@mathfour That, I'm okasentences! #mathchatFri Apr 29 00:56:09 +0000 2011 - tweet id 63

@mathheadinc RT @delyour thinking visible - think audienFri Apr 29 00:56:43 +0000 2011 - tweet id 63

@ColinTGraham@mathprocess must be recorded as wellFri Apr 29 00:56:44 +0000 2011 - tweet id 63

@mathfour@ColinTGra

have to believe they are right. ReFri Apr 29 00:56:54 +0000 2011 - tweet id 63

@delta_dc@ColinTGraha record that learners can use toFri Apr 29 00:57:14 +0000 2011 - tweet id 63

@mathfour@mathheadiThat makes no sense. #mathchatFri Apr 29 00:57:32 +0000 2011 - tweet id 63

@ColinTGraham@deltabe compared against other metho

How do I get

am No, that is PUBLISHING math. DOI

768338077204480 - #211

our @mathheadinc It's not about writingnd 'justifying' results. #mathchat768344842600448 - #212

You're right! We have to keep modelingfmath #mathchat

768359824670720 - #213

ham Agreed, but the ultimate goal is to t

768364954288128 - #214

ur Ramanujan didn't write reasons to hisath students. #mathchat768490561114112 - #215

with. @ColinTGraham: @mathheadinc

768496793853952 - #216

a_dc: @mathheadinc @ColinTGrahamce and purpose. #mathchat768640184520704 - #217

our Doesn't have to be written, but I stroas the product/end-result #mathchat

768644680814592 - #218

am @mathheadinc Again, they don't ha

lly believe. #mathchat768686670004225 - #219

am @mathfour @mathheadinc Sharing tonitor progress & reflect #mathchat

768769239072768 - #220

c Why do math students have to learn t

768848813408256 - #221

dc @mathfour @mathheadinc And recods for similarity/difference... #mathchat


G math doesn't require

everything down it's

for teachers and

ach students to

proofs. He had to learn

... shorthand for

e talk about making

ngly believe that the

e to justify. They just

heir process also keeps

be taken seriously?

rds of the digging can


19/27

Friday, 29th April 2011 How do I get my students to dig deeper?

Fri Apr 29 00:58:05 +0000 2011 - tweet id 63768986160078848 - #222

@mathheadinc@mathfour If Ss are headed to college, they do have to justify it. That'slike writing a research paper without citing resources. #mathchatFri Apr 29 00:58:12 +0000 2011 - tweet id 63769014949781505 - #223

@mathfour@delta_dc @ColinTGraham @mathheadinc If they're okay with that - and ifthey record it in their own way, sure. #mathchatFri Apr 29 00:58:27 +0000 2011 - tweet id 63769079172960256 - #224

@mathheadinc YES!!! RT @delta_dc: Sharing their process also keeps a record thatlearners can use to monitor progress & reflect #mathchatFri Apr 29 00:58:32 +0000 2011 - tweet id 63769097019727872 - #225

@mathfour@delta_dc @ColinTGraham @mathheadinc But we often force them to write

it our way. That's not doing math, that's stifling math. #mathchatFri Apr 29 00:58:50 +0000 2011 - tweet id 63769174597582849 - #226

@republicofmath Hmm! I have to disagree Bon @mathfour DOING math doesn't requirecommunication! #mathchatFri Apr 29 00:59:01 +0000 2011 - tweet id 63769220877524992 - #227

@mathheadinc@mathfour Ramanujan had to learn to write using already establishmethods as well as his own. Learning multiple ways is good. #mathchatFri Apr 29 00:59:23 +0000 2011 - tweet id 63769313043169280 - #228

@mathfour@mathheadinc They don't have to justify squat in my math classes. Collegemath classes. And they do just fine. #mathchatFri Apr 29 00:59:34 +0000 2011 - tweet id 63769358874329088 - #229

@kristigrande@mathfour @mathheadinc @ColinTGraham Many ways to ensurestudents know the math w/out writing it. St must be able to explain #mathchatFri Apr 29 00:59:41 +0000 2011 - tweet id 63769386690940929 - #230

@halebone@mathfour justifying answers is important bc it provides stds with theopportunity to reflect on how they got to their answer #mathchatFri Apr 29 00:59:56 +0000 2011 - tweet id 63769451669098496 - #231

@mathheadinc@mathfour Not if it's done the right way. No need to force. Show themhow the two ways are related. #mathchatFri Apr 29 00:59:56 +0000 2011 - tweet id 63769451371302912 - #232

@mathfour@mathheadinc But he wanted to be a freaking mathematician. We're talkingkids who don't! #mathchatFri Apr 29 00:59:56 +0000 2011 - tweet id 63769451916562432 - #233


20/27


@ColinTGraham@mathacademic? rigorous? so other maFri Apr 29 01:00:03 +0000 2011 - tweet id 63

@republicofmath If I donthey are digging deeper? @mathfFri Apr 29 01:00:07 +0000 2011 - tweet id 63

@mathheadinc@kristigrthat.#mathchatFri Apr 29 01:00:25 +0000 2011 - tweet id 63

@baevmilena RT @repumath doesn't require communicati

Fri Apr 29 01:00:27 +0000 2011 - tweet id 63

@mathfourWe are gettinwrite so you can measure their unFri Apr 29 01:00:58 +0000 2011 - tweet id 63

@mathheadinc@ColinTdon't see the problem. #mathchatFri Apr 29 01:01:11 +0000 2011 - tweet id 63

@ColinTGraham OK, lassee the hole or help them improvFri Apr 29 01:01:23 +0000 2011 - tweet id 63

@crownkindqueen@delresponse. I was thinkng this, but 1Fri Apr 29 01:01:38 +0000 2011 - tweet id 63

@mathfour That's what I

require communication! #mathchFri Apr 29 01:01:43 +0000 2011 - tweet id 63

@baevmilena@mathfouanswers "wrong" on a test or withFri Apr 29 01:01:56 +0000 2011 - tweet id 63

@kristigrande@mathheby requiring things be done our wFri Apr 29 01:02:13 +0000 2011 - tweet id 63

@ColinTGraham OK eve#mathchat

How do I get

our @delta_dc @mathheadinc Writinghematicians accept?... #mathchat769482111352832 - #234

't hear words, see diagrams, see calculaour #mathchat769497315704832 - #235

nde Maybe if the student is dyslexic, or

769573895315456 - #236

licofmath: Hmm! I have to disagree Bonon! #mathchat

769581407313920 - #237

g "measuring" confused with "understanderstanding. #mathchat769711351046145 - #238

raham Rigorously, or close to it, in addi

769767219175424 - #239

thought: When we ask students to dig dtheir digging technique? #mathchat

769816602914817 - #240

ta_dc @EDUCATIONCEO @mrt_ro Yes40 charac isn't enough. #mathchat

769879274192896 - #241

said. @baevmilena @republicofmath: D

t769898828054529 - #242

I am always nervous ss won't clarify asothers #mathchat769954016706561 - #243

dinc Why must it be written every time?y. #mathchat

770025319874560 - #244

ryone, it's that time again! Thanks for yo


athematics 'our way' =

ions, how do I know

something like

@mathfour DOING

ing" - you force them to

ion to other ways. I

eeper, do we want to

, in a brief constructed

ING math doesn't

umptions and get all

We hold students back

r contributions...


21/27


Fri Apr 29 01:02:27 +0000 2011 - tweet id 63770085373906944 - #245

@halebone@mathfour I don't think it has to be written. It's about getting stds to explainhow they know what they know. #mathchatFri Apr 29 01:02:36 +0000 2011 - tweet id 63770121566568450 - #246

@mathfour@baevmilena But that's about the measurement. We're talking the math anddigging deeper. There's a difference. #mathchatFri Apr 29 01:02:39 +0000 2011 - tweet id 63770136217272320 - #247

@baevmilena@ColinTGraham Oops I did it again! #mathchatFri Apr 29 01:02:45 +0000 2011 - tweet id 63770161102065664 - #248

@republicofmath@mathfour Not so much measure as assess. Trying to promote#mathunderstanding, so want to see some detritus of their thinking. #mathchatFri Apr 29 01:02:54 +0000 2011 - tweet id 63770196917235712 - #249

@mathfour THANK YOU! RT @kristigrande: Why must it be written every time? We holdstudents back by requiring things be done our way. #mathchatFri Apr 29 01:02:58 +0000 2011 - tweet id 63770214147436544 - #250

@EDUCATIONCEO (Now that's the real issue!) RT @kristigrande: @MrT_Ro Oftenbecause teachers don't know multiple ways themselves. #mathchatFri Apr 29 01:03:20 +0000 2011 - tweet id 63770304450805760 - #251

@kristigrande@EDUCATIONCEO @colintgraham Thanks! That's the point. There aremany ways to determine that students understand. #mathchatFri Apr 29 01:03:27 +0000 2011 - tweet id 63770333764784129 - #252

@mathfour@halebone Again, that makes it about you. If they are getting it, they willknow. #mathchatFri Apr 29 01:03:36 +0000 2011 - tweet id 63770375514886144 - #253

@halebone@mathfour I think you can learn a lot about std understanding of concepts

through chatting w them. learning to explain is key #mathchatFri Apr 29 01:04:04 +0000 2011 - tweet id 63770490644344832 - #254

@republicofmath Yes ti does: if it's not communicated it's not #math (Oh boy! )@mathfour DOING math doesn't require communication! #mathchatFri Apr 29 01:04:10 +0000 2011 - tweet id 63770515185217536 - #255

@mathheadinc@kristigrande We require our students to write everything. Ss flunk testsw/o regularly showing work & forget processes 2 easily. #mathchatFri Apr 29 01:04:10 +0000 2011 - tweet id 63770514052755456 - #256

@kristigrande@mathfour Seen it to many times!!!! #mathchatFri Apr 29 01:04:17 +0000 2011 - tweet id 63770545589714944 - #257


22/27


@MrHonner Thanks @CFri Apr 29 01:04:20 +0000 2011 - tweet id 63

@mathfour Math is as pe

understand why you like what youFri Apr 29 01:04:22 +0000 2011 - tweet id 63

@ColinTGraham Feel frewe revisit the topic on Monday...Fri Apr 29 01:04:22 +0000 2011 - tweet id 63

@delta_dc@mathfour @that they will share their think on -Fri Apr 29 01:04:35 +0000 2011 - tweet id 63

@mathheadinc@kristigrwork as a reference. #mathchatFri Apr 29 01:04:44 +0000 2011 - tweet id 63

@EDUCATIONCEO@kri2 show work but we could still useFri Apr 29 01:05:12 +0000 2011 - tweet id 63

@mathfour@republicof#mathchatFri Apr 29 01:05:45 +0000 2011 - tweet id 63

@EDUCATIONCEO@kristressed alt. methods when I taugFri Apr 29 01:06:01 +0000 2011 - tweet id 63

@mathheadinc@mathfooverall.#mathchatFri Apr 29 01:06:19 +0000 2011 - tweet id 63

@kristigrande@mathhecan't rely on that. If we do, we'reFri Apr 29 01:06:22 +0000 2011 - tweet id 63

@mathfour Although that"If its not communicated its not #Fri Apr 29 01:06:42 +0000 2011 - tweet id 63


How do I get

linTGraham, and everyone, for another770557031784448 - #258

rsonal as underpants. The only person

do is you. #mathchat770566951309313 - #259

e to keep going, I'll be archiving in aboutmathchat770567106510848 - #260

kristigrande I often suggest that learnersNOT ALL of them #mathchat

770620420292608 - #261

nde Also, when they write work down, t

770657472778241 - #262

stigrande @crownkindqueen @colintgraalt. method. #mathchat

770776893014016 - #263

ath Yeah, we're totally going to have to

770915225350145 - #264

stigrande @crownkindqueen @colintgraht #SpEd#MathChat770981570854912 - #265

ur Doesn't matter. It helps them be bette

771056103636992 - #266

dinc Not suggesting they never show wot differentiating #mathchat771070309732352 - #267

brings up the question, "What is math?"ath" #mathchat

771151905734656 - #268

our That was last week Bon! #mathchat771233120030721 - #269


reat #mathchat!

ho really needs to

10 minutes or so, and

pick just one problem

ey can use their own

am @MrT_Ro We had

step outside on that one.

am @MrT_Ro And I

students

rk. Just saying that we

RT @republicofmath:


23/27


@halebone how then doabout you. If they are getting it, thFri Apr 29 01:07:10 +0000 2011 - tweet id 63

@mathfour@republicofindeed, you gotta talk or write. #mFri Apr 29 01:07:33 +0000 2011 - tweet id 63

@mathheadinc@kristigrworks so well. They need to SEEFri Apr 29 01:07:39 +0000 2011 - tweet id 63

@ColinTGraham@haleeasy thing to define... #mathchat

Fri Apr 29 01:08:00 +0000 2011 - tweet id 63

@mathfour@republicofthen no, you don't need to talk orFri Apr 29 01:08:04 +0000 2011 - tweet id 63

@crownkindqueen@EDand making models helps as well.Fri Apr 29 01:08:31 +0000 2011 - tweet id 63

@kristigrande@mathhenever give alternatives to writing tFri Apr 29 01:08:38 +0000 2011 - tweet id 63

@baevmilena@mathfou#mathchatFri Apr 29 01:08:46 +0000 2011 - tweet id 63

@mathheadinc@kristigr

more they learn, the more they seFri Apr 29 01:08:49 +0000 2011 - tweet id 63

@mathfour@halebonemandated things, you're right. "DeFri Apr 29 01:09:06 +0000 2011 - tweet id 63

@kristigrande@delta_dinvolved the problems are. #mathFri Apr 29 01:09:33 +0000 2011 - tweet id 63

@baevmilena RT @mathof such ideas, then indeed, you g

How do I get

e assess? RT @mathfour: @haleboney will know. #mathchat

771270734557186 - #270

ath If you define math as the communicathchat771368994521088 - #271

nde You may not :) but I do. It's why theheir own writing. #mathchat

771392499400704 - #272

one @mathfour And how do they know t

771478927220737 - #273

ath If all you have to do is HAVE such idrite. #mathchat

771495922532353 - #274

UCATIONCEO @kristigrande @colintgr#SpEd#MathChat

771610968113152 - #275

dinc I agree. There are many reasons fat hinders some Ss. #mathchat

771641817214976 - #276

If we look at math as art, don't we have

771675426172928 - #278

nde Also, our experience has been that

e. #mathchat771687447035904 - #279

nd that really depends on what you areeper digging" needs none #mathchat771757181538306 - #280

@mathfour I like that suggestion! It alshat

771869433696256 - #281

four: @republicofmath If you define mattta talk or write. #mathchat


Again, that makes it

tion of such ideas, then

kid's calculus program

hat they know? Not an

eas for it to be "math"

ham @MrT_Ro Yes,

r writing work. It's when

to communicate?

the more they write, the

ssessing. State

depends on how

as the communication


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Fri Apr 29 01:10:01 +0000 2011 - tweet id 63771989021700096 - #282

@mathheadinc@kristigrande It's only one way. They write, use manipulatives, whateverthey can. Then put it all together. #mathchatFri Apr 29 01:10:03 +0000 2011 - tweet id 63771995766128640 - #283

@mathfour@baevmilena Is the hippy expressionist dancer who's naked in the treesdoing her thing, not doing art because she's alone? #mathchatFri Apr 29 01:10:34 +0000 2011 - tweet id 63772124728393729 - #285

@kristigrande@mathheadinc I'm not saying they shouldn't write! I'm saying it shouldn'tbe the only way we determine their understanding. #mathchatFri Apr 29 01:10:42 +0000 2011 - tweet id 63772162137407488 - #286

@mathfour@mathheadinc @kristigrande That's because you ignore the ones who don't

write (or can't assess them) #mathchatFri Apr 29 01:11:09 +0000 2011 - tweet id 63772274058203137 - #287

@mathheadinc@kristigrande Oh, I agree. Definitely. :) #mathchatFri Apr 29 01:11:11 +0000 2011 - tweet id 63772280840396800 - #288

@delta_dc NCTM does include communication as process of doing math >> MT@mathfour If you define math as the communication of such ideas... #mathchatFri Apr 29 01:11:14 +0000 2011 - tweet id 63772292517339136 - #289

@baevmilena@mathfour sure, I see your point. You can paint a pic just because you feellike it. But won't you want to show it to someone? #mathchatFri Apr 29 01:11:36 +0000 2011 - tweet id 63772388344606721 - #290

@kristigrande@mathheadinc I agree! They learn from writing. They also learn frommaking Podcasts and Videos explaining their thinking. #mathchatFri Apr 29 01:12:04 +0000 2011 - tweet id 63772502442254336 - #291

@mathheadinc@mathfour You assume too much. We don't ignore any students and

"assess" them all. #mathchatFri Apr 29 01:12:09 +0000 2011 - tweet id 63772527142502400 - #292

@mathfour Kristi's my twin sister RT @kristigrande: Im saying it shouldnt be the only waywe determine their understanding. #mathchatFri Apr 29 01:12:24 +0000 2011 - tweet id 63772588979126273 - #293

@earlsamuelson .......just curious is this work completed by a 16 year old is considered"doing math" Adding Permutations: http://t.co/L1ZKCR7#mathchatFri Apr 29 01:12:49 +0000 2011 - tweet id 63772695040503808 - #294

@mathheadinc@kristigrande You mention podcasting and videos. Most of our Ss are solow tech, LOL! Practically avoid it like the plague. #mathchat


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Fri Apr 29 01:12:58 +0000 2011 - tweet id 63

@mathfour@baevmilenpaint in invisible ink, will you forceFri Apr 29 01:13:00 +0000 2011 - tweet id 63

@mathfour@mathheadimath in a way you can't see it, yoFri Apr 29 01:13:45 +0000 2011 - tweet id 63

@halebone Metcognitionanswers. Deeper thinking cannotFri Apr 29 01:13:50 +0000 2011 - tweet id 63

@FlyontheCWall good o

"Are there different ways to arriveFri Apr 29 01:14:04 +0000 2011 - tweet id 63

@delta_dc@kristigrandeunderstanding. #mathchatFri Apr 29 01:14:07 +0000 2011 - tweet id 63

@mathheadinc@mathfothem. #mathchatFri Apr 29 01:14:22 +0000 2011 - tweet id 63

@mathheadinc Many stuthat we talk our way to understanFri Apr 29 01:14:59 +0000 2011 - tweet id 63

@mathfour Now we're geway or another. Writing is just oneFri Apr 29 01:15:17 +0000 2011 - tweet id 63

@kristigrande@delta_dlearning B4 we can write about it.Fri Apr 29 01:15:41 +0000 2011 - tweet id 63

@mathheadinc@mathfoFri Apr 29 01:15:45 +0000 2011 - tweet id 63

@mathfour@mathheadiDaughter does that and I know shFri Apr 29 01:15:56 +0000 2011 - tweet id 63

@baevmilena@mathfoutalking the same stuff. #mathchat

How do I get

772731589668864 - #295

Again imposing your thoughts on me. Fme to use color? #mathchat

772740544503808 - #296

c But you assess through means that y"ignore" progress #mathchat

772928684195840 - #297

is getting lost if we don't ask students hoe reached w/o it! #mathchat

772948716195840 - #298

e! ;-) RT @colintgraham: @mathheadin

at the same result?" #mathchat773008644411393 - #299

@mathheadinc - Brian Cambourne says

773020107456513 - #300

ur They show us in one way or another.

773084422905856 - #301

ents need to talk it out. RT @delta_dc:ing. #mathchat

773236420288512 - #302

tting somewhere. :D RT @mathheadinc:of them. #mathchat

773315755552768 - #303

@mathheadinc Bea Harris says that wThe natural process. #mathchat773414959226881 - #304

ur Now you're catching up :D #mathchat773430243266560 - #305

c How about if they smile and breathe de's understanding something. #mathchat773477726978048 - #306

lol, I really liked the image of the hippy


urthermore, what if I

u can see. If they think

w they find their

And you can also ask

that we talk our way to

riting is just one of

Brian Cambourne says

They show us in one

have talk about

eeply and wiggle -

ancer! Agreed. We are


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Fri Apr 29 01:16:09 +0000 2011 - tweet id 63


@dansmath@mathfourcommutativity'? (it's a property, nFri Apr 29 01:16:16 +0000 2011 - tweet id 63

@delta_dc YES! > MT @their answers. Deeper thinking caFri Apr 29 01:16:23 +0000 2011 - tweet id 63

@mathfour@EarlSamueplug with this crowd) #mathchatFri Apr 29 01:16:26 +0000 2011 - tweet id 63

@mathfour By the way, ybe discussing Living Math in 45 mFri Apr 29 01:16:56 +0000 2011 - tweet id 63

@ColinTGraham@dansyour head off! :-P #mathchatFri Apr 29 01:17:07 +0000 2011 - tweet id 63

@mathheadinc@mathfoassess.#mathchatFri Apr 29 01:17:08 +0000 2011 - tweet id 63

@ColinTGraham@dansyour head off! :-P #mathchatFri Apr 29 01:17:41 +0000 2011 - tweet id 63

@mathfour@dansmath

I gotta keep this stuff


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@mathfour Math is the most fun you can have with your boots on. #mathchatFri Apr 29 01:18:18 +0000 2011 - tweet id 63774070977740800 - #320

@ckeech Cool! RT "@padgets: #mathchat we just did fossil dig diggin deep with

geological time #edchatFri Apr 29 01:18:54 +0000 2011 - tweet id 63774224350855168 - #321

Documents

2011.04.29 How Do I Get My Students to Dig Deeper