2011.06.03 How Do I Promote Deep, Productive and Creative Mathematical Play

8/6/2019 2011.06.03 How Do I Promote Deep, Productive and Creative Mathematical Play

1/21

Friday, 3rd June 2011

@ColinTGraham Hello eFri Jun 03 00:01:23 +0000 2011 - tweet id 76

@ColinTGraham If it's yo

two people. Don't forget the hashtFri Jun 03 00:02:23 +0000 2011 - tweet id 76

@ColinTGraham If youstart! You may want to unprotect tFri Jun 03 00:04:19 +0000 2011 - tweet id 76

@ColinTGraham Today'spromote deep, creative and produFri Jun 03 00:05:22 +0000 2011 - tweet id 76

@ColinTGraham So may"mathematical play"... any takers?Fri Jun 03 00:06:23 +0000 2011 - tweet id 76

@cybraryman1 RT @Colproductive mathematical play?" #Fri Jun 03 00:06:46 +0000 2011 - tweet id 76

@delta_dc Shouldn't allFri Jun 03 00:06:53 +0000 2011 - tweet id 76

@ColinTGraham @deltabe" whether it is or whether we puFri Jun 03 00:08:41 +0000 2011 - tweet id 76

@ParrisFund @delta_dcdo we use 2 ensure that it's creatiFri Jun 03 00:10:25 +0000 2011 - tweet id 76

@ColinTGraham For exaif it does? #mathchat Fri Jun 03 00:10:35 +0000 2011 - tweet id 76

@mrsd5107 I think playthem come up with the questions.Fri Jun 03 00:12:55 +0000 2011 - tweet id 76

@teachdig During the nedeep, creative and productive maFri Jun 03 00:14:02 +0000 2011 - tweet id 76

How do I promote deep, productive and

eryone and welcome to today's #mathc438290454159360 - #1

ur first time, don't try to follow everyone,

ag --> #mathchat 438543366504449 - #2

ust go over 140 chars... put #mathchat sweets for while, if you protect them...439028563574784 - #3

topic, seems to be popular by the votingctive mathematical play?" #mathchat 439293723283456 - #4

be we should start off with discussing w#mathchat

439551744290817 - #5

inTGraham: Today's topic:"How do I proathchat

439644606185472 - #6

ath be creative and all learning playful?439677585985536 - #7

dc Ah, "should" ... is it though? We probt that first... Hmm. #mathchat 440130273030145 - #8

It should be! I think the real question is,e, playful, & fun #mathchat

440563095834624 - #9

mple, how does mathematical play differ

440606980833280 - #10

eans giving the students a math concep#mathchat

441192765722624 - #11

t 45 min will be joining #mathchat discuhematical play?"441475524722689 - #13

creative mathematical play?

at

just interact with one or

omewhere near the

..., is: "How do I

at we mean by

ote deep, creative and

#mathchat

ably all think it "should

hat methods/activites

from other types of play,

t to explore and then let

sing "How do I promote


2/21


@ColinTGraham @mrsd'definition' for play? #mathchat Fri Jun 03 00:14:12 +0000 2011 - tweet id 76

@teachdig @ColinTGrahinvestigation into idea Ss think arFri Jun 03 00:14:47 +0000 2011 - tweet id 76

@mrsd5107 @ColinTGrascience. #mathchat Fri Jun 03 00:15:04 +0000 2011 - tweet id 76

@teachdig @mrsd5107Fri Jun 03 00:15:28 +0000 2011 - tweet id 76

@ColinTGraham @mrsdthen? #mathchat Fri Jun 03 00:15:42 +0000 2011 - tweet id 76

@cybraryman1 Play is dintrinsically motivated. #mathchat Fri Jun 03 00:15:45 +0000 2011 - tweet id 76

@thegreatgar #mathchat Fri Jun 03 00:15:49 +0000 2011 - tweet id 76

@NatBanting @delta_dcFri Jun 03 00:16:37 +0000 2011 - tweet id 76

@ParrisFund @ColinTGrsoccer, etc & turn it into a math leFri Jun 03 00:16:43 +0000 2011 - tweet id 76

@mrsd5107 @ColinTGradirected. #mathchat Fri Jun 03 00:16:45 +0000 2011 - tweet id 76

@ColinTGraham @teachfun, but does all fun come from plFri Jun 03 00:16:56 +0000 2011 - tweet id 76

@teachdig @ColinTGrahshould have some element of fun.Fri Jun 03 00:17:47 +0000 2011 - tweet id 76


107 OK, here's an area, go explore. An

441516851208192 - #14

am That was my first question. Is it gamfun? #mathchat 441664163549184 - #15

ham @mrsd5107 But explore with a pur

441733642194944 - #16

o then the #anyqs would fit into this ide441835442143232 - #17

107 So you see play as being directed i

441893134798848 - #18

fined as behaviour that is freely chosen,

441906242002944 - #19

#play conway's life ... changed me441924722114560 - #20

Is curriculum juxtaposed to creativity in442123200765952 - #21

aham u can use games/sports that kidsrning experience #mathchat

442151877226497 - #22

ham @mrsd5107 Play must be "Facilitat

442156818120704 - #23

dig Is fun always related to play, thoughy? Hmm... #mathchat

442203433615360 - #24

am All fun does not necessarily come fro#mathchat

442416885940224 - #25


one else, got a

s or math related

ose like in

. #mathchat

n some way

personally directed and

athematics? #mathchat

lay everyday, i.e bball,

d" not

Play may always be

m play, but I think play


3/21


@mrsd5107 With play, Iconnections to reach the goal. #mFri Jun 03 00:17:53 +0000 2011 - tweet id 76

@cybraryman1 RT @mrto find the connections to reach thFri Jun 03 00:18:57 +0000 2011 - tweet id 76

@ColinTGraham I think,goes, as per Jerry's (@cybrarymaFri Jun 03 00:19:30 +0000 2011 - tweet id 76

@earlsamuelson @Colingraphs to describe relationships oFri Jun 03 00:19:49 +0000 2011 - tweet id 76

@NatBanting @mrsd510play and have hypotheses on whFri Jun 03 00:19:49 +0000 2011 - tweet id 76

@ColinTGraham @thegrchange are you talking about? #mFri Jun 03 00:20:23 +0000 2011 - tweet id 76

@NatBanting @ParrisFumore ineffective exercises. NeedFri Jun 03 00:20:53 +0000 2011 - tweet id 76

@mrsd5107 When you infor undirected play...that is whereFri Jun 03 00:20:58 +0000 2011 - tweet id 76

@earlsamuelson RT @NWe choose topics for play and haFri Jun 03 00:21:23 +0000 2011 - tweet id 76

@ColinTGraham @Parriplaying within mathematics, thougFri Jun 03 00:21:24 +0000 2011 - tweet id 76

@PatrickatDS RT @mrsfind the connections to reach theFri Jun 03 00:22:17 +0000 2011 - tweet id 76

@ColinTGraham @earlsFri Jun 03 00:22:27 +0000 2011 - tweet id 76


ave a goal in mind, but I want my studeathchat 442441787506688 - #26

d5107: With play, I have a goal in mind,e goal. #mathchat 442713158979584 - #27

or me, the key phrase is "personal and in1) definition... #mathchat 442850451140608 - #28

TGraham mathematical play can have pf any type #mathchat 442931250212864 - #29

7 I agree wholeheartedly with this point.re it may go. #mathchat

442932445593600 - #30

eatgar How does that relate to mathemaathchat 443072539541504 - #31

d @ColinTGraham Creating arbitrary muthentic play #mathchat

443198909714433 - #32

troduce something new, ie manipulativesthe excitement starts. #mathchat 443218551652352 - #33

atBanting @mrsd5107 I agree wholehee hypotheses on where it may go. #mat

443326341054464 - #34

Fund Do you not see that as mathematih? #mathchat 443327800688640 - #35

5107: With play, I have a goal in mind, boal. #mathchat

443550841192448 - #36

muelson What are you defining as play443592004075520 - #37


ts to find the

but I want my students

trinsic" as far as play

rticipants sketching

e choose topics for

ical play? What type of

athematics can lead to

, you must allow time

rtedly with this point.chat

izing play rather than

ut I want my students to

here, Earl? #mathchat


4/21


@NatBanting @earlsamthe same page. #mathchat Fri Jun 03 00:22:37 +0000 2011 - tweet id 76

@thegreatgar @ColinTGplay with rules that led me to learFri Jun 03 00:22:44 +0000 2011 - tweet id 76

@ColinTGraham @mrsdwith software or apps, maybe? #Fri Jun 03 00:23:22 +0000 2011 - tweet id 76

@NatBanting @ColinTGand cheese. Take "boring math" sFri Jun 03 00:23:48 +0000 2011 - tweet id 76

@earlsamuelson @Colinwhat they represent #mathchat MFri Jun 03 00:25:01 +0000 2011 - tweet id 76

@mrsd5107 @ColinTGraunless you have time to experienFri Jun 03 00:25:06 +0000 2011 - tweet id 76

@ColinTGraham @thegrapparently random effects, or theFri Jun 03 00:25:19 +0000 2011 - tweet id 76

@NatBanting @cybraryBall has a set of rules we act in, dFri Jun 03 00:25:28 +0000 2011 - tweet id 76

@ParrisFund @ColinTGrhow trivial or grand, is in inclusiveFri Jun 03 00:25:36 +0000 2011 - tweet id 76

@earlsamuelson @NatBFri Jun 03 00:25:41 +0000 2011 - tweet id 76

@mathmurd RT @mathcand productive mathematical playFri Jun 03 00:26:21 +0000 2011 - tweet id 76

@NatBanting @earlsamunderstand functions. Play comesFri Jun 03 00:26:36 +0000 2011 - tweet id 76


elson I have read a lot of your statemen

443633359912960 - #38

raham #mathchat conway's life introducdhow to program. math changed me443666037747714 - #39

107 The "try and break it" approach whiathchat

443824477577216 - #40

aham @ParrisFund I think mathematizinmother it in cheese sauce. #mathchat 443933848256512 - #41

TGraham students can sketch silly grapybe that's not how you're defining play?

444236932849664 - #42

ham Yes... how else can you then learne it with your senses. #mathchat

444261897347072 - #43

eatgar The discovery of a rule-based enfact that maths underlay it #mathchat 444314691043328 - #44

an1 Then we must "play" math differentloesn't math as well? #mathchat 444350493626370 - #45

aham Not really a bad thing,...showing hin everything #mathchat

444386589814784 - #46

anting .......good to know someone is! #444407078985729 - #47

hat: In 30 mins #mathchat : "How do I pr?" #gtchat #elemchat #kinderchat 444574041653248 - #48

elson I think that "personal graphs" arefrom choice #mathchat

444637547593728 - #49 creative mathematical play?

s this week. we are on

me to a mathematical

ch some people use

g is dangerous. Broccoli

s and then describe?

he finer concepts

ironment that produced

y than say, baseball.

ow math, regardless of

athchat

mote deep, creative

great tool to begin to


5/21


@ColinTGraham @earlshave to have a purpose or final oFri Jun 03 00:26:55 +0000 2011 - tweet id 76

@thegreatgar @ColinTGoutcomes #mathchat which i sougFri Jun 03 00:27:17 +0000 2011 - tweet id 76

@ColinTGraham @math#elemchat #kinderchat Fri Jun 03 00:27:27 +0000 2011 - tweet id 76

@kassiaowedekind MatFri Jun 03 00:28:03 +0000 2011 - tweet id 76

@ColinTGraham @thegrwith character-based graphics! ;-)Fri Jun 03 00:28:13 +0000 2011 - tweet id 76

@NatBanting @ColinTGindividualized. It is not arbitrary. #Fri Jun 03 00:28:26 +0000 2011 - tweet id 76

@teachdig @NatBantingwhen kids make them up. #mathcFri Jun 03 00:28:35 +0000 2011 - tweet id 76

@mrsd5107 Most "gamelike math? #mathchat Fri Jun 03 00:28:36 +0000 2011 - tweet id 76

@earlsamuelson @Colinthat description #mathchat Fri Jun 03 00:28:41 +0000 2011 - tweet id 76

@kassiaowedekind Matearly childhood folks #mathchat #Fri Jun 03 00:29:38 +0000 2011 - tweet id 76

@mathmurd RT @Colinminutes ;-) #gtchat #elemchat #kiFri Jun 03 00:29:40 +0000 2011 - tweet id 76

@ColinTGraham @mrsdin concrete" feeling, should we enFri Jun 03 00:29:48 +0000 2011 - tweet id 76


muelson Well I basically go along with ttcome... unlike a game. #mathchat

444715918176256 - #50

raham to me, the fact that such simple ruht to model on a Commodoe pet lol444811124686848 - #51

urd #mathchat Is on now! Has been for

444850920239105 - #52

play is the topic of tonight's #mathchat !445001265053696 - #53

eatgar Oh yes, I remember playing Star#mathchat

445045628207104 - #54

aham I think Play does have outcomes..athchat

445096849055744 - #55

Interesting point. Most games have somhat 445135814144001 - #56

" were "play" until rules were determine

445142327894016 - #57

TGraham ok......I think sketching graphs

445162917732352 - #58

play was just the topic of a great #kindece

445399040274432 - #59

Graham: @mathmurd #mathchat Is on nderchat Thanks!

445407487594496 - #60

107 Yes that is exactly the point, but rulcourage rule-breaking? #mathchat 445443596361729 - #61


e idea that play doesn't

les led to such complex

25 minutes ;-) #gtchat

rek on one of those

. just many, and

sort of rules even

to be needed. Isn't that

of silly things can fit

rchat too for all you

ow! Has been for 25

es can have the "written


6/21


@mrsd5107 RT @ColinTintrinsic" as far as play goes, as pFri Jun 03 00:29:54 +0000 2011 - tweet id 76

@ParrisFund @NatBantimath is already there, you're justFri Jun 03 00:29:56 +0000 2011 - tweet id 76

@teachdig If play doesn'tbring it into class while still reachiFri Jun 03 00:30:52 +0000 2011 - tweet id 76

@earlsamuelson @NatB"accidentally" stumbling upon theiFri Jun 03 00:31:03 +0000 2011 - tweet id 76

@NatBanting @ParrisFucovering it in a competition or gaFri Jun 03 00:31:38 +0000 2011 - tweet id 76

@mrsd5107 I think too of#mathchat Fri Jun 03 00:31:38 +0000 2011 - tweet id 76

@ColinTGraham @teachrecognize that play is important, bFri Jun 03 00:31:54 +0000 2011 - tweet id 76

@thegreatgar RT @thegmathematics is wrong ? how univFri Jun 03 00:32:05 +0000 2011 - tweet id 76

@NatBanting @earlsamformat. The graphs are quite beaFri Jun 03 00:32:24 +0000 2011 - tweet id 76

@mrsd5107 RT @teachdhow do we ....still reaching standaFri Jun 03 00:33:03 +0000 2011 - tweet id 76

@mathmurd #mathchat ithought. following the tangent toFri Jun 03 00:33:13 +0000 2011 - tweet id 76

@NatBanting @ColinTGleaves lots of room to explore. Th


Graham: I think, for me, the key phrase ier (@cybraryman1) . #mathchat 445469169025025 - #62

g Very funny analogy LOL But you're naking it relevant #mathchat 445476072861698 - #63

have to have a purpose or final outcomg standards. #mathchat

445712954568704 - #64

anting sketching "personal graphs" allowr purpose #mathchat 445759100293120 - #65

d Be careful though. making kids eat fre (cheese) is shallow #mathchat

445903501799425 - #66

en the rules are taught first which then li

445902654537729 - #67

dig This is the main point of tonight's toput .... how to do it? #mathchat 445971327877120 - #68

eatgar: @ColinTGraham could there bersal is it ??? #mathchat

446016949325824 - #69

elson and I always have them present. Itiful #mathchat

446097928757248 - #70

ig: If play doesnt have to have a purposerds. #mathchat 446260344799232 - #71

am a fan of tangents - play allows for dirath reasoning is our joy

446304380784642 - #72

aham @teachdig How to do it? I say beughts? #mathchat


"personal and

t really 'mathematizing',

then how do we best

s for being creative and

ctions(broccoli) by

mits the freedom to play.

ic, I think, Dvora. We

a universe where our

a artistic symposium

or final outcome then

ctions deeper than first

in with play. Intro


7/21


Fri Jun 03 00:33:16 +0000 2011 - tweet id 76

@earlsamuelson RT @limits the freedom to play. #mathcFri Jun 03 00:33:27 +0000 2011 - tweet id 76

@ColinTGraham @mrsddepends on whether the kids playFri Jun 03 00:33:29 +0000 2011 - tweet id 76

@nykat4 not happy that iFri Jun 03 00:33:51 +0000 2011 - tweet id 76

@teachdig Where to begibring some things in? #mathchat Fri Jun 03 00:34:21 +0000 2011 - tweet id 76

@NatBanting @mrsd510end in sight doesn't mean we areFri Jun 03 00:34:23 +0000 2011 - tweet id 76

@mrsd5107 @ColinTGrafences. #mathchat Fri Jun 03 00:34:25 +0000 2011 - tweet id 76

@ColinTGraham @thegrWhat if it is? That's exactly whatFri Jun 03 00:34:35 +0000 2011 - tweet id 76

@kassiaowedekind @mpersistance, learn how to be the kFri Jun 03 00:35:11 +0000 2011 - tweet id 76

@delta_dc I think play relFri Jun 03 00:35:14 +0000 2011 - tweet id 76

@mrsd5107 But I also beFri Jun 03 00:35:16 +0000 2011 - tweet id 76

@NatBanting @mathmurthe students with them. work for aFri Jun 03 00:35:25 +0000 2011 - tweet id 76

@ColinTGraham @nykat#mathchat Fri Jun 03 00:35:32 +0000 2011 - tweet id 76


446316858843136 - #73

rsd5107 I think too often the rules are tahat 446362249605120 - #74

107 I tend to view "rules" as the fencesin the school yard, field... #mathchat

446370512371712 - #75

am missing #mathchat because of writin446464049549312 - #76

n the play? With a topic, with a photo, wi

446588859449344 - #77

7 @teachdig exactly, we need to play torestricting. #mathchat 446596107214848 - #78

ham @mrsd5107 I think of rules as "guid

446605573758976 - #79

e atgar Interesting question to ask... is ouathematicians do! #mathchat

446645298003968 - #80

thmurd Time for math play everyday isind of person who "figures things out" #446797769347072 - #81

ates to engagement. #mathchat 446808842305536 - #82

lieve in "beg forgiveness" over "ask per446817822322688 - #83

d Little wrinkles arise all the time. Embradvanced kids? #mathchat 446854782533633 - #84

4 Boo to reports! You can try and join in446885304479744 - #85


ught first which then

around the ground...

reports. :(

th an idea? Have Ss

ard a goal. having an

elines" rather than

r mathematics wrong?

must. Practiceathchat

ission" :-) #mathchat

ce them, and challenge

on Monday, if you can...


8/21


@mrsd5107 Agree! This lengagement. #mathchat Fri Jun 03 00:36:18 +0000 2011 - tweet id 76

@teachdig @kassiaowedout the most simple things. #mathFri Jun 03 00:36:33 +0000 2011 - tweet id 76

@earlsamuelson cont)Fri Jun 03 00:36:42 +0000 2011 - tweet id 76

@earlsamuelson #mathcsilly examples long before giving rFri Jun 03 00:36:43 +0000 2011 - tweet id 76

@ColinTGraham Is it fairof learning... when the play is perFri Jun 03 00:37:05 +0000 2011 - tweet id 76

@NatBanting #mathchat probability!Fri Jun 03 00:37:09 +0000 2011 - tweet id 76

@Eduware_Inc Almost alAmerican psychologist 1908-1970Fri Jun 03 00:37:09 +0000 2011 - tweet id 76

@ParrisFund Gr8 point! "I think of rules as "guidelines" rathFri Jun 03 00:37:10 +0000 2011 - tweet id 76

@teachdig @earlsamuelFri Jun 03 00:37:11 +0000 2011 - tweet id 76

@mathmurd RT @kassiaword , #mathchat Fri Jun 03 00:37:22 +0000 2011 - tweet id 76

@mrsd5107 People whopersistence. Why not give kids aFri Jun 03 00:38:21 +0000 2011 - tweet id 76

@Eduware_Inc Play giveRogers American television persoFri Jun 03 00:38:43 +0000 2011 - tweet id 76


eads to learning! RT @delta_dc: I think

447080255721472 - #86

ekind How do you teach that? My currenchat 447140276207617 - #87

determining rules on their own #mathch447179891412992 - #88

hat @mrsd5107 I always have studentsules.....they usually end up (cont447183297196032 - #89

to say we all think play is an important, ionally chosen? #mathchat

447273822859264 - #90

|| Are there easier topics to play with? I v

447290449084416 - #91

l creativity involves purposeful play." ~A#mathchat 447293800325120 - #92

rules" sounds very restrictive RT @mrsder than fences. #mathchat 447297898151936 - #93

on Can you share an example? #mathc447302507700224 - #94

owedekind: persistance is key - fail is no

447347273515008 - #95

ant to succeed in every aspect of their lead start? #mathchat

447596192862208 - #96

s children a chance to practice what theynality 1928-2003 #mathchat 447688337534976 - #97


lay relates to

t Ss don't like to figure

t

xplore notions through

not fundamental, part

ote estimation and

raham Maslow

5107: @ColinTGraham

at

t a 4 letter

ife must learn

are learning." ~Fred


9/21


10/21


Fri Jun 03 00:41:25 +0000 2011 - tweet id 76

@teachdig @NatBantingothers 4 math play. #mathchat Fri Jun 03 00:41:53 +0000 2011 - tweet id 76

@Eduware_Inc "Necessifather." ~Roger von Oech ConteFri Jun 03 00:42:11 +0000 2011 - tweet id 76

@NatBanting @ColinTGp+p=p? what is p/p? great when yFri Jun 03 00:42:14 +0000 2011 - tweet id 76

@FlyontheCWall RT @

a 4 letter word , #mathchat Fri Jun 03 00:42:23 +0000 2011 - tweet id 76

@ColinTGraham Do youlevel, rather than, say, splashingFri Jun 03 00:42:34 +0000 2011 - tweet id 76

@earlsamuelson @teacthose domains- average speed isFri Jun 03 00:42:42 +0000 2011 - tweet id 76

@kassiaowedekind @mthat involves math and science. #Fri Jun 03 00:43:03 +0000 2011 - tweet id 76

@padgets #mathchat heFri Jun 03 00:43:05 +0000 2011 - tweet id 76

@FlyontheCWall ;-) RT

play as 1 of the 5 elements of whFri Jun 03 00:43:12 +0000 2011 - tweet id 76

@philhart @ColinTGrahFri Jun 03 00:43:17 +0000 2011 - tweet id 76

@Eduware_Inc @earlsaHockney Contemporary British paFri Jun 03 00:43:29 +0000 2011 - tweet id 76

@mrsd5107 With 5th GraEratosthenes". #mathchat Fri Jun 03 00:43:37 +0000 2011 - tweet id 76


448364559990784 - #109

Thanks for sharing this. I think some are

448484814897153 - #110

y may be the mother of invention, but plporary America creativity guru #mathch

448557204377600 - #111

aham I find number facts to be playful. pou talk about factors. #mathchat 448573293723648 - #112

athmurd: RT @kassiaowedekind: persis

448607645077504 - #113

think mathematical play is more about plach other with water? #mathchat

448654986186752 - #114

dig slopes of each line segment on trip rslope from start to finish point #mathcha448690084134912 - #115

thmurd Older kids can get a lot of inspirathchat

448775190749185 - #116

everybody sorry I am so late last day of448785093509120 - #117

mrsd5107: RT @ColinTGraham: I kno

t he calls "Math Genius Thinking" #math448816320086016 - #118

m Yes, unquestionably. #mathchat 448835186069504 - #119

uelson "People tend to forget that play iinter #mathchat 448884662075393 - #120

ders, we explore the 100 chart to "disco

448921383206912 - #121


as are def easier than

y is certainly thet

=prime. can pxp=p?

ance is key - fail is not

aying on an intellectual

epresent speeds in

tion from engineering

school!

@jamestanton sees

chat

s serious." ~David

er" the "Sieve of


11/21


@earlsamuelson @teacrepresent relationships of their chFri Jun 03 00:43:45 +0000 2011 - tweet id 76

@ColinTGraham @padgFri Jun 03 00:43:49 +0000 2011 - tweet id 76

@kassiaowedekind Matengineering (bridge building challFri Jun 03 00:43:51 +0000 2011 - tweet id 76

@delta_dc MT @mathmolder classes?


12/21


@mrsd5107 Agree!RT @lessons - then let them play with cFri Jun 03 00:45:33 +0000 2011 - tweet id 76

@NatBanting @delta_dcbog me down... #mathchat Fri Jun 03 00:45:40 +0000 2011 - tweet id 76

@earlsamuelson cont)Fri Jun 03 00:45:58 +0000 2011 - tweet id 76

@earlsamuelson #mathc@earlsamuelson @teachdig WheFri Jun 03 00:45:59 +0000 2011 - tweet id 76

@padgets @ColinTGrahday tomorrow then SUMMER SCFri Jun 03 00:46:07 +0000 2011 - tweet id 76

@ColinTGraham @thegrassumes that all intelligent life haFri Jun 03 00:46:12 +0000 2011 - tweet id 76

@mathmurd @NatBantin#mathchat Fri Jun 03 00:46:14 +0000 2011 - tweet id 76

@Eduware_Inc Sciencepersistance #mathchat Fri Jun 03 00:46:21 +0000 2011 - tweet id 76

@NatBanting @kassiaothat they dont cover enough for thFri Jun 03 00:46:30 +0000 2011 - tweet id 76

@mrsd5107 @NatBantinHandshakes" to create a formula.Fri Jun 03 00:46:39 +0000 2011 - tweet id 76

@teachdig @NatBantingFri Jun 03 00:46:53 +0000 2011 - tweet id 76

@FlyontheCWall RT @klessons - then let them play with cFri Jun 03 00:47:04 +0000 2011 - tweet id 76


k_timms: I love integrting childrens pictuoncepts #mathchat 449404340551681 - #134

@mathmurd I find it very difficult to "play449434300465152 - #135

extremely rich. #mathchat 449512901722112 - #136

hat Agree! Discussion is critical RT @Nn they don't make sense, discussion as t449515837734912 - #137

m @teachdig yep stayed late to get graOOL! glutton for punishment #mathchat

449550012911618 - #138

e atgar The idea of a universal mathematthe concept of prime no. #mathchat

449569025695744 - #139

g @delta_dc you would love kinder - we449576617385984 - #140

lypiad is great Fun! Teaches teamwork

449609219706881 - #141

edekind Sometimes time consuming. teeir time. #mathchat 449644137283584 - #142

@delta_dc @mathmurd Algebra play...#mathchat 449681835692032 - #143

That is always a tricky thing. #mathchat 449743991095296 - #144

timms: I love integrting children's picturoncepts #mathchat 449786697482240 - #145


e books into math

" with algebra. Rules

tBantingo why is (cont

es done teacher work

ics is used by SETI...

do algebra all the time!

and

chers generally find

"How Many

books into math


13/21


@delta_dc @NatBantingFri Jun 03 00:47:28 +0000 2011 - tweet id 76

@teachdig @padgets Si

school for me. #mathchat Fri Jun 03 00:47:28 +0000 2011 - tweet id 76

@k_timms @mrsd5107 jis using at grade 4 to teach area vFri Jun 03 00:47:38 +0000 2011 - tweet id 76

@padgets @teachdig #mstudentsFri Jun 03 00:48:22 +0000 2011 - tweet id 76

@ColinTGraham I use pcards...Oh & Lego (even surly 13Fri Jun 03 00:48:23 +0000 2011 - tweet id 76

@earlsamuelson cont)home #mathchat Fri Jun 03 00:48:37 +0000 2011 - tweet id 76

@earlsamuelson #mathcdomain, range, average velocity,Fri Jun 03 00:48:38 +0000 2011 - tweet id 76

@davidwees What Mathsolving? #mathchat Fri Jun 03 00:48:57 +0000 2011 - tweet id 76

@FlyontheCWall my favFri Jun 03 00:49:03 +0000 2011 - tweet id 76

@teachdig @padgets Meweeks before the end. #mathchat Fri Jun 03 00:49:26 +0000 2011 - tweet id 76

@NatBanting @delta_dcStandards dont help though #matFri Jun 03 00:49:28 +0000 2011 - tweet id 76

@ColinTGraham @philhlessons? #mathchat Fri Jun 03 00:49:28 +0000 2011 - tweet id 76


@mathmurd "Rules" or State Standards449890133221376 - #146

ce my yr here does not end till July 8th

449890703654912 - #147

st found a book in my library called pefes. perimeter #mathchat 449928859222017 - #148

athchat wow long year for you I get done

450115828719616 - #149

per a lot: origami, tangrams, darts, weavos loosen up a bit with that!) #mathchat

450118370459648 - #150

means I'm not traveling, negative slope

450179477291008 - #151

hat @teachdig it works to establish undetc. Horizontal line segment (cont450183096967168 - #152

ickle.com as a way to inject some fun in

450260196655104 - #153

ight now is "the greedy triangle"!!! #mat450286331375616 - #154

xico city has a 200 day year but of cours

450384922689536 - #155

@mathmurd mainly the procedure to solchat

450390194925568 - #156

rt How would you promote a more intell450392053002240 - #157


#mathchat

othing like summer

ct square that @lingy13

June 24th it is for ELL

ing, cuts, pop-up

means I'm heading back

rstanding of slope,

o math problem

chat

e grades are due 3

ve once you abstract it.

ctual kind of play in


14/21


@mathmurd @ColinTGrbionicle would add angle conversFri Jun 03 00:49:29 +0000 2011 - tweet id 76

@Saskateach RT @cybrpersonally directed and intrinsicallFri Jun 03 00:49:35 +0000 2011 - tweet id 76

@radhikananda RT @m4 letter word , #mathchat Fri Jun 03 00:49:41 +0000 2011 - tweet id 76

@Eduware_Inc Card gaBridge?Fri Jun 03 00:49:43 +0000 2011 - tweet id 76

@delta_dc Sorry #mathctoo! Enjoy!Fri Jun 03 00:49:53 +0000 2011 - tweet id 76

@stkalcevich RT @k_tithen let them play with conceptsFri Jun 03 00:49:58 +0000 2011 - tweet id 76

@mrsd5107 @k_timmsbooks.. http://bit.ly/mtGUub #mathFri Jun 03 00:50:09 +0000 2011 - tweet id 76

@ColinTGraham @deltaFri Jun 03 00:50:12 +0000 2011 - tweet id 76

@NatBanting @Eduware#mathchat Fri Jun 03 00:50:31 +0000 2011 - tweet id 76

@mathmurd RT @davidmath problem solving? #mathchatFri Jun 03 00:50:35 +0000 2011 - tweet id 76

@earlsamuelson @teacmy definition isn't correct...... #maFri Jun 03 00:50:45 +0000 2011 - tweet id 76

@FlyontheCWall @mrsdof Pi" ? #mathchat Fri Jun 03 00:51:13 +0000 2011 - tweet id 76


ham love the lego - tonnes of math reastion to it as well #mathchat

450397602054144 - #158

ryman1: Play is defined as behaviour thy motivated. #mathchat 450419609579520 - #159

thmurd: RT @kassiaowedekind: persist

450448256671744 - #160

es for reasoning and probability #mathc

450456217452544 - #161

at gotta run to watch a sunset with @lite

450498366013440 - #162

ms: I love integrting children's picture bomathchat 450519811506176 - #163

lingy13 Great website for related mathhat

450563977510912 - #164

dc You too Dave! #mathchat 450575700602881 - #165

_Inc Backgammon is awesome for prob

450654519955457 - #166

ees: What MathPickle.com as a way to iI do like math pickle

450672442224640 - #167

dig the more silly the better.......that's hohchat

450715572240385 - #168

5107 @k_timms have u seen "Sir Cumfe

450831020474368 - #169 creative mathematical play?

ning in that - i expect

t is freely chosen,

nce is key - fail is not a

at Any one for poker?

racygurl - I need play,

oks into math lessons -

icture

bility with 2 dice.

nject some fun into

w I define play-maybe

rence and the Dragon


15/21


@philhart @ColinTGrahbest anybody can do is to build aFri Jun 03 00:51:14 +0000 2011 - tweet id 76

@NatBanting #mathchat Personality helps as well.Fri Jun 03 00:52:21 +0000 2011 - tweet id 76

@ColinTGraham Obvioucreative play come in, though? #Fri Jun 03 00:52:30 +0000 2011 - tweet id 76

@k_timms RT @mrsd51books.. http://bit.ly/mtGUub #mathFri Jun 03 00:52:51 +0000 2011 - tweet id 76

@NatBanting @Eduwarevegas....haha #mathchat Fri Jun 03 00:53:01 +0000 2011 - tweet id 76

@mrsd5107 @FlyontheCyear with 5th graders. #mathchat Fri Jun 03 00:53:02 +0000 2011 - tweet id 76

@FlyontheCWall @flyon"The Greedy Triangle" #mathchat Fri Jun 03 00:53:09 +0000 2011 - tweet id 76

@ColinTGraham @maththem see physical bricks as "kidsFri Jun 03 00:53:27 +0000 2011 - tweet id 76

@padgets @mrsd5107 #Fri Jun 03 00:53:57 +0000 2011 - tweet id 76

@teachdig @ColinTGrahmath #mathchat Fri Jun 03 00:53:59 +0000 2011 - tweet id 76

@NatBanting @ColinTGthem run with topics. Even sporadFri Jun 03 00:54:02 +0000 2011 - tweet id 76

@ColinTGraham @philhkids that don't seem to be going dFri Jun 03 00:54:37 +0000 2011 - tweet id 76


m Tough one: some kids are just more iencouraging atmosphere. #mathchat

450836967997441 - #170

I always look for a way to introduce a to451119303372800 - #171

ly, or is it obvious?, games have a role iathchat

451155244363776 - #172

7: @k_timms @lingy13 Great website fhat

451241571524609 - #173

_Inc Let me know when you do, we will

451287021002752 - #174

Wall @k_timms Yes, used all the "Sir Cu

451289957015552 - #175

hecwall have u seen "Sir Cumference a

451319384260608 - #176

urd I use Lego Digital Designer with teoys"... #mathchat

451396156796928 - #177

athchat will have to check those books451520106864640 - #178

am I think creative play gets more difficul

451529116229632 - #179

aham it is tough for Ss to be creative in lically throughout #mathchat 451541518794752 - #180

rt Do you think more direction or guidaneep enough? #mathchat 451687476379648 - #181


clined that way. The

ic with intrigue.

play. Where does

r related math picture

o to

mference" books this

d the Dragon of Pi" or

ns, because some of

out!

t at higher levels of

ectures. Break out, let

e would help those


16/21


@cybraryman1 My MathFri Jun 03 00:55:09 +0000 2011 - tweet id 76

@mrsd5107 Real world

grade runs Mini Society with theirFri Jun 03 00:55:10 +0000 2011 - tweet id 76

@k_timms @teachdig crcurriculum instead of going deep iFri Jun 03 00:55:19 +0000 2011 - tweet id 76

@ColinTGraham @NatBFri Jun 03 00:55:23 +0000 2011 - tweet id 76

@mathmurd RT @NatBaBreak out, let them run with topicsFri Jun 03 00:55:54 +0000 2011 - tweet id 76

@davidwees Try www.mFri Jun 03 00:56:07 +0000 2011 - tweet id 76

@padgets #mathchat I loFri Jun 03 00:56:24 +0000 2011 - tweet id 76

@ColinTGraham Mixedkinder class, they eventually endFri Jun 03 00:56:26 +0000 2011 - tweet id 76

@philhart @ColinTGrahteacher's/facilitator's skills. #mathFri Jun 03 00:56:33 +0000 2011 - tweet id 76

@NatBanting @ColinTGNeeds to be basic.thats not alwayFri Jun 03 00:56:57 +0000 2011 - tweet id 76

@philhart @ColinTGrahthe teacher's/facilitator's skills. #mFri Jun 03 00:57:00 +0000 2011 - tweet id 76

@teachdig @k_timms tot#mathchat Fri Jun 03 00:57:06 +0000 2011 - tweet id 76


Games & Puzzles page: http://tinyurl.co451822923022336 - #182

ath play makes the learning meaningful

own currency. #mathchat 451824793698304 - #183

ative play gets more difficult when teachnto understanding #mathchat 451863020572673 - #184

nting I've done it with: "How many ways451879256723456 - #185

nting: @ColinTGraham i tough for Ss to. Even sporadically #mathchat 452011473776641 - #186

thpickle.com Seems you need the www452065282506752 - #187

e Mangahigh452135063138304 - #188

ge, yes! RT @mathmurd:... every time ap playing - buddy class? #mathchat

452145238511616 - #189

m Yes, dependent to 2 things: the kid'shat

452175659806721 - #190

aham Myself as well. there is a lack of pls bad #mathchat 452273244487680 - #191

m Yes, dependent on 2 things: the kid'sathchat 452289921036288 - #192

ally true. period bells are the enemy of pl

452312150847488 - #193


/44225p4#mathchat

and creative. Our 3rd

ers feel rushed to cover

can you...?" #mathchat

be creative in lectures.

on the one. #mathchat

teen comes into the

wn inclinations, and the

ay tools at my school.

own inclinations, and

ay in any class I think.


17/21


@Eduware_Inc Excuseand fun multiplayer. K-6 #mathchFri Jun 03 00:57:19 +0000 2011 - tweet id 76

@padgets #mathchat hatFri Jun 03 00:57:25 +0000 2011 - tweet id 76

@mathmurd @philhartperformers ? : ) #mathchat Fri Jun 03 00:57:30 +0000 2011 - tweet id 76

@ColinTGraham Ah @pduring our teaching? What kind ofFri Jun 03 00:57:36 +0000 2011 - tweet id 76

@mathmurd RT @Colinourselves during our teaching? WFri Jun 03 00:58:05 +0000 2011 - tweet id 76

@k_timms @ColinTGrah6/7's played with K/1 buddies - aFri Jun 03 00:58:07 +0000 2011 - tweet id 76

@philhart @mathmurdFri Jun 03 00:58:17 +0000 2011 - tweet id 76

@NatBanting @k_timmsthe are trained to shut off at belltiFri Jun 03 00:58:19 +0000 2011 - tweet id 76

@k_timms RT @mathmubrilliant performers ? : ) #mathchaFri Jun 03 00:58:28 +0000 2011 - tweet id 76

@NatBanting @k_timmscollegiates. #mathchat Fri Jun 03 00:58:54 +0000 2011 - tweet id 76

@Saskateach Play also ccomfortable and engaged. TeachFri Jun 03 00:59:03 +0000 2011 - tweet id 76

@mrsd5107 RT @Saskafeel safe, comfortable and engagFri Jun 03 00:59:33 +0000 2011 - tweet id 76


e but I can't help a plug for www.mathmt

452367167520768 - #194

e bells conditions kids to well452391054090240 - #195

ColinTGraham are great teachers not al

452412994494464 - #196

ilhart raises an interesting point... do wemodel are we? #mathchat

452437208203264 - #197

Graham: Ah @philhart interesting point..hat kind of model are we? #mathchat 452559744798720 - #198

am my old school had built in buddy matazing results! #mathchat

452568473141248 - #199

ColinTGraham I think so. #mathchat 452610323910658 - #200

The students need to know the play wille. #mathchat

452620608356352 - #201

rd: @philhart @ColinTGraham are greatt 452657417564160 - #202

@ColinTGraham Even 9-12 may work. f

452764330369024 - #203

omes from creating an atmosphere whers can create that. #mathchat

452802284630016 - #204

each: Play also comes from creating and. Teachers can create that. #mathchat

452930521280512 - #205


torway.com. It's free

so brilliant

play enough ourselves

. do we play enough

time where grade

bridge periods and days.

teachers not also

or those of us in

e ss feel safe,

atmosphere where ss


18/21


@padgets @Eduware_InFri Jun 03 00:59:33 +0000 2011 - tweet id 76

@ColinTGraham OK, las

more productive or creative mathFri Jun 03 00:59:37 +0000 2011 - tweet id 76

@philhart @ColinTGrahworks with those inclined that wayFri Jun 03 00:59:40 +0000 2011 - tweet id 76

@mathmurd #mathchat etakes the time, goes deeper, weFri Jun 03 01:00:10 +0000 2011 - tweet id 76

@k_timms @NatBantingconcepts with short play time usinFri Jun 03 01:00:16 +0000 2011 - tweet id 76

@mathmurd #mathchat .Fri Jun 03 01:00:22 +0000 2011 - tweet id 76

@Eduware_Inc "We didn

quote from a little girl who went frFri Jun 03 01:00:30 +0000 2011 - tweet id 76

@ColinTGraham @NatBwork in terms of 'peer' interactionFri Jun 03 01:01:00 +0000 2011 - tweet id 76

@Saskateach @ColinTGto give students time to get into thFri Jun 03 01:01:07 +0000 2011 - tweet id 76

@mathmurd RT @NatBaperiods and days. the are trainedFri Jun 03 01:01:08 +0000 2011 - tweet id 76

@padgets #mathchat HaFri Jun 03 01:01:29 +0000 2011 - tweet id 76

@ColinTGraham Maybeduring 'playtime'... #mathchat Fri Jun 03 01:02:10 +0000 2011 - tweet id 76


#mathchat mathmotorway on my diigo!452929653055491 - #206

few minutes... already! Any final though

matical play? #mathchat 452944391843840 - #207

m (@mathmurd) When I am teaching m. #mathchat 452959243866112 - #208

very chat talks about the time it takes - ifill meet standards, . .

453082929700864 - #209

find time for short periods of play - I useg manipulatives #mathchat 453108363956224 - #210

. . because we will be creating thinkers453137120100352 - #211

't do anything dad, we just played with bl

m "F" to "A". #mathchat 453169370116098 - #212

nting @k_timms A gap of about 4 or 5 y... #mathchat

453292900745217 - #213

raham I came late but my last thought we math and explore. #mathchat 453322516725760 - #214

nting: @k_timms students need to knowo shut off at belltime. #mathchat

453326434205696 - #215

ing chatting this summer?453418205585410 - #216

he message we need to get across is th

453588406251520 - #217


!!

ts on promoting deeper,

ths, I sure DO play: it

every year k, 1, 2 . . .

to introduce every new

ot regurgitators

cks." ~My favorite

ears often seems to

uld be time. We need

the play will bridge

t play is OK, not just


19/21


@k_timms I believe teacneed to love it (or at least pretendFri Jun 03 01:02:20 +0000 2011 - tweet id 76

@Saskateach All to oftendon't have time to play just time tFri Jun 03 01:02:30 +0000 2011 - tweet id 76

@teachdig @ColinTGrah#mathchat Fri Jun 03 01:02:43 +0000 2011 - tweet id 76

@philhart @NatBantingwe know answers to only a smallFri Jun 03 01:02:59 +0000 2011 - tweet id 76

@NatBanting @k_timmsmathematical challenge. dont onlFri Jun 03 01:03:17 +0000 2011 - tweet id 76

@ColinTGraham @teachFri Jun 03 01:03:18 +0000 2011 - tweet id 76

@k_timms @ColinTGrahwithout enjoyment, it won't stick.Fri Jun 03 01:03:42 +0000 2011 - tweet id 76

@ColinTGraham Well thFri Jun 03 01:03:55 +0000 2011 - tweet id 76

@NatBanting #mathchat Keep up the great work everyone.Fri Jun 03 01:04:00 +0000 2011 - tweet id 76

@teachdig @ColinTGrahFri Jun 03 01:04:30 +0000 2011 - tweet id 76

@padgets #mathchat thatime :0)Fri Jun 03 01:04:37 +0000 2011 - tweet id 76

@k_timms tomorrow in clhappens #mathchat Fri Jun 03 01:04:48 +0000 2011 - tweet id 76


ers need to model having fun with mathto) #mathchat

453631079096320 - #218

we try to put time limits on math and getget it done. :-( #mathchat 453670027395072 - #219

am Ask students for input on how they m

453724511412224 - #220

mathmurd My students are *astonisheraction of math problems #mathchat

453795084775424 - #221

I dont think we can pretend. Teachers hlearn topics for your students. #mathch

453869076496385 - #222

dig Or just say: "Go play!" #mathchat 453873082056704 - #223

am play is not only OK, but HOW we natmathchat 453975263678464 - #224

t's it for today! Thanks for playing with m454027474374656 - #225

|| Thanks for another interesting discussi

454048060018688 - #226

am Might have to try that. :) #mathchat 454177143918592 - #228

nks for letting me lurk and learn :0) take

454205354819584 - #230

ass - please just try some aspect of play

454251399888896 - #231


so kids can folllow - you

through so much. Kids

ight like to play.

* when I tell them that

ve to enjoyt

rally learn. If you learn

e ;-) #mathchat

on. It has been great.

are and tweet you next

in math - see what


20/21


@mathmurd #mathchat tword spread - choir - start singingFri Jun 03 01:04:52 +0000 2011 - tweet id 76

@teachdig @ColinTGrahFri Jun 03 01:04:59 +0000 2011 - tweet id 76

@ParrisFund Great #matFri Jun 03 01:05:01 +0000 2011 - tweet id 76

@mathhombre Great exup all kinds of questions and choiFri Jun 03 01:05:27 +0000 2011 - tweet id 76

@Eduware_Inc They mthem feel. ~Anonymous #mathchFri Jun 03 01:05:40 +0000 2011 - tweet id 76

@ColinTGraham @padgfor #mathchat !Fri Jun 03 01:05:45 +0000 2011 - tweet id 76

@k_timms thanks everyo

regularly anymore but sure miss itFri Jun 03 01:05:51 +0000 2011 - tweet id 76

@mathmurd RT @teachFri Jun 03 01:05:53 +0000 2011 - tweet id 76

@ParrisFund RT @k_timlearn. If you learn with out enjoymFri Jun 03 01:06:00 +0000 2011 - tweet id 76

@mathhombre Play canthan a specific data request or HFri Jun 03 01:06:12 +0000 2011 - tweet id 76

@Saskateach RT @Eduforget how you made them feel.Fri Jun 03 01:06:14 +0000 2011 - tweet id 76

@ColinTGraham And if yon Monday. Follow @mathchat foFri Jun 03 01:06:46 +0000 2011 - tweet id 76


anks for the topic - one near and dear t!454268617494528 - #232

am Thanks for your fab moderating! #m454297205882881 - #233

hchat , great ideas & great thinkers! #Go454307045720064 - #234

erience tonight with a new game for linees. #mathchat

454415661412352 - #235

y forget what you said but they will neveat 454468551581696 - #236

ts We're here all year, rain or shine, Sh

454491368587265 - #237

ne for getting me thinking about math ag

. #mathchat 454514005250048 - #238

ig: @ColinTGraham Thanks for your fa454523618598912 - #239

ms: @ColinTGraham play is not only Oent, it won't stick. #mathchat 454550780903424 - #240

enerate so many more experiences froset. #mathchat

454602253414400 - #241

are_Inc: They may forget what you saiAnonymous #mathchat

454611539599360 - #242

ou didn't get enough play today, come br notifications. #mathchat 454745111396352 - #243


me - love to see the

thchat

lay

r equations. Brought

forget how you made

ron! No summer break

ain - I don't teach it

moderating! #mathchat

, but HOW we naturally

which to generalize

but they will never

ck for the topic re-visit


21/21

@sdroyer RT @padgets:Fri Jun 03 01:06:49 +0000 2011 - tweet id 76

@jmalphy RT @Eduware

how you made them feel. ~AnonFri Jun 03 01:07:12 +0000 2011 - tweet id 76

@mrsd5107 Thanks to all@ColinTGraham #mathchat Fri Jun 03 01:07:33 +0000 2011 - tweet id 76

@ColinTGraham And list4 BST Saturday http://bit.ly/lhqTVFri Jun 03 01:08:01 +0000 2011 - tweet id 76

@ColinTGraham Archive#mathchat Fri Jun 03 01:09:08 +0000 2011 - tweet id 76

@educatorshelper RT @lessons - then let them play with cFri Jun 03 01:11:41 +0000 2011 - tweet id 76

@samandjt RT @davidwone. #mathchat Me: Very Cool. GFri Jun 03 01:15:07 +0000 2011 - tweet id 76

@coatsea @mrsd5107books Love Grandfather Tang's SFri Jun 03 01:22:15 +0000 2011 - tweet id 76

@M_Sontag RT @cybrarpage: http://tinyurl.com/44225p4 #Fri Jun 03 01:24:25 +0000 2011 - tweet id 76

@nykat4 @ColinTGrahawherever I am! #mathchat Fri Jun 03 01:24:54 +0000 2011 - tweet id 76

#mathchat I love Mangahigh. So do my454759774683136 - #244

_Inc: They may forget what you said bu

mous #mathchat 454854066831360 - #245

who "played" tonight! Really got me thin

454943384547328 - #246

n to the #mathmaths live 50th episodeIt's a 'biggie'! #mathchat

455060896358400 - #247

should be online in 30 minutes or so... s

455342241886209 - #248

k_timms: I love integrting children's pictoncepts #mathchat 455984016535552 - #249

es: Try www.mathpickle.com Seems yonna try it w my kiddos456845916643328 - #250

k_timms #mathchat just saw your posttory and then online tangram puzzles458640856461313 - #253

yman1 My Math Games & Puzzlesathchat

459186959024128 - #254

that's great- no reports in the summer!

459307914362880 - #256

tudents

they will never forget

king! Great moderator

pectacular 11 am EDT

ee you all next time!

re books into math

u need the www on the

bout math picture

I'll be checking in

Documents

2011.06.03 How Do I Promote Deep, Productive and Creative Mathematical Play