2011.04.18 how do i introduce, or increase the amount of, investigative work (2)

8/7/2019 2011.04.18 How Do I Introduce, Or Increase the Amount of, Investigative Work (2)

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#Mathchat -- Monday, 18th April 2011

@ColinTGraham Hello eMon, 18 Apr 2011 19:33:29 +0000 - tweet id

@ColinTGraham If it's yo

or two people, and don't forget thMon, 18 Apr 2011 19:34:37 +0000 - tweet id

@ColinTGraham Today'sinvestigative work? " #mathchat Mon, 18 Apr 2011 19:35:13 +0000 - tweet id

@7puzzle What's the subMon, 18 Apr 2011 19:35:57 +0000 - tweet id

@ColinTGraham @7puzamount of, investigative work?" #Mon, 18 Apr 2011 19:36:33 +0000 - tweet id

@ColinTGraham Last timkeep it focused on 'open-ended' eMon, 18 Apr 2011 19:38:12 +0000 - tweet id

@ColinTGraham So, wh

what age, what topics? #mathchaMon, 18 Apr 2011 19:39:36 +0000 - tweet id

@bucharesttutor @Colinby investigative work? #mathchat Mon, 18 Apr 2011 19:40:38 +0000 - tweet id

@ColinTGraham @buchcoursework is usually done. #matMon, 18 Apr 2011 19:41:20 +0000 - tweet id

@ColinTGraham @buchexpand it/"find the rule"/explain thMon, 18 Apr 2011 19:42:17 +0000 - tweet id

@ColinTGraham @buchfind the box with the largest voluMon, 18 Apr 2011 19:43:06 +0000 - tweet id

@bucharesttutor @Colinnumber system and its propertiesMon, 18 Apr 2011 19:43:49 +0000 - tweet id

How do I introduce, or increase the amo

eryone, welcome to today's #mathchat 60063419939823616 - #6

ur first time, don't try to follow everything

hashtag ---> #mathchat 60063702350704640 - #7

topic is: "How do I introduce, or increas

60063853282738176 - #8

ect today? #mathchat 60064040466128897 - #9

le Just tweeted it Paul! "How do I introdathchat

60064189191954432 - #10

e, we got a bit hung up on the meaningxplorations this time #mathchat 60064604860071936 - #11

wants to kick off this time? Introducing i

60064956816703489 - #12

TGraham can you pls explain a lil more

60065217891151872 - #13

resttutor In a secondary context here, itchat

60065395398291457 - #15

resttutor For example, Ss are given a spattern etc. #mathchat

60065630925238272 - #16

resttutor Another example would be thee from a given sheet of paper #mathcha

60065837071077376 - #17

TGraham I would definitely like to start t#mathchat 60066020202778624 - #18

unt of, investigative work? (2)

, just interact with one

the amount of,

ce, or increase the

f investigations, so let's

nvestigations: when,

s to what do you mean

is how examined

quence, 1, 2, 3, 6, and

open box problem...

aching S's with the




@ColinTGraham @buch'clear' /closed answer unless youMon, 18 Apr 2011 19:44:22 +0000 - tweet id

@bucharesttutor @Colin#matheducation and try n improvMon, 18 Apr 2011 19:45:06 +0000 - tweet id

@ColinTGraham @buchhow much leading or guidance yoMon, 18 Apr 2011 19:45:55 +0000 - tweet id

@suburbanlion I'm a bigProblem is getting students motiv

Mon, 18 Apr 2011 19:46:21 +0000 - tweet id

@ColinTGraham @subulate to begin, Ryan? #mathchat Mon, 18 Apr 2011 19:47:01 +0000 - tweet id

@matthen2 @ColinTGraincrease the amount of working reMon, 18 Apr 2011 19:47:03 +0000 - tweet id

@bucharesttutor @Colintogether leading them into new onMon, 18 Apr 2011 19:47:53 +0000 - tweet id

@ColinTGraham @mattencouraging/developing a matheMon, 18 Apr 2011 19:48:26 +0000 - tweet id

@bucharesttutor @matt

as it tests the S's beyond it n makMon, 18 Apr 2011 19:49:34 +0000 - tweet id

@ColinTGraham @buchpieces whereas others are happyMon, 18 Apr 2011 19:50:01 +0000 - tweet id

@missradders @ColinTSet success criteria that are skillsMon, 18 Apr 2011 19:50:03 +0000 - tweet id

@bucharesttutor @mattas it tests the S's beyond it n mak


resttutor Puzzles are another example,ind ways to extend #mathchat

60066159227179008 - #19

TGraham so are we trying to find the priupon the #mathchat 60066342207893504 - #20

resttutor The main challenge with investu provide for the task #mathchat 60066548269842432 - #21

fan of investigative work. We need moreted enough to investigate. #mathchat

60066657191727104 - #22

banlion Are you saying that by undergra

60066824959696896 - #23

am @bucharesttutor The #mathchat is tquired in exam questions, correct?60066833272807424 - #24

TGraham aha ok I get it. So we try n soles subsequently #mathchat 60067042950250497 - #25

en2 Not so much that, Matt. It's more abatical approach to exploring a problem

60067181731397632 - #26

en2 @ColinTGraham tears whr I feel th

es em apply it further #mathchat 60067464171626496 - #27

resttutor Yes, and ideally some studentwith 200... in same puzzle #mathchat 60067580739727360 - #28

raham Give more guidance start of yr thrather than outcome based #mathchat 60067586192326656 - #29

en2 @ColinTGraham thats whr I feel thes em apply it further #mathchat


ut they often have a

rities in

igative work is deciding

science in math.

level it's almost too

hinking of ways to

e a "jigsaw" puzzle

outmathchat

IB curriculum is robust

can handle 1,000

en gradually reduce.

IB curriculum is robust




Mon, 18 Apr 2011 19:50:23 +0000 - tweet id

@ColinTGraham @missrapproach for you? #mathchat Mon, 18 Apr 2011 19:50:50 +0000 - tweet id

@suburbanlion @ColinTsometimes. Too often hear "just tMon, 18 Apr 2011 19:51:17 +0000 - tweet id

@matthen2 @ColinTGraas long as the approach works? #Mon, 18 Apr 2011 19:51:31 +0000 - tweet id

@ColinTGraham @buch

curricular though, so in that senseMon, 18 Apr 2011 19:51:58 +0000 - tweet id

@bucharesttutor @misscomplain that we are not teachingMon, 18 Apr 2011 19:52:02 +0000 - tweet id

@ColinTGraham @mattbut not be able to justify/explain it,Mon, 18 Apr 2011 19:53:05 +0000 - tweet id

@bucharesttutor @Colinkeep feeding the right amt of stuffMon, 18 Apr 2011 19:54:03 +0000 - tweet id

@ColinTGraham @mattinappropriate/ineffective, withoutMon, 18 Apr 2011 19:54:56 +0000 - tweet id

@ColinTGraham RT @myr so they need training ;) #mathcMon, 18 Apr 2011 19:55:52 +0000 - tweet id

@vikkiiom @bucharesttu#mathchat Mon, 18 Apr 2011 19:55:59 +0000 - tweet id

@bucharesttutor @subuthan 1 way to solve a prob, go finMon, 18 Apr 2011 19:56:19 +0000 - tweet id


60067670476865536 - #30

adders What age are you dealing with h

60067786591973377 - #31

Graham I don't think its too late to begin,ll me how to get the answer". #mathchat

60067897178992640 - #32

am What's a non-mathematical approacmathchat 60067955291066368 - #33

resttutor The Internatl Bacc is designed

'investigations' are a given #mathchat 60068068658909184 - #34

adders @ColinTGraham I agree Hannathem everything in detail #mathchat

60068087768154113 - #35

en2 Non-mathematical approach mightfor example. #mathchat

60068352797839360 - #36

TGraham you are right but we need gooto their S's when in class #mathchat

60068592678486016 - #37

en2 Applying algorithms/methods whichs evaluating them. Calculating w/out pu

60068815391834112 - #38

issradders: @ColinTGraham 11-18. Obvat

60069051992506368 - #39

tor it may not be good teachers needed

60069081663021056 - #40

rbanlion @ColinTGraham I personally tethe others challenging em , #mathchat

60069163418398720 - #41


re, or is it a general

but its tough

h? And does it matter

to be more cross-

but won't students

e to 'guess' the pattern

teachers anyways to

werepose#mathchat

get new classes each

ut confident teachers

ll my S's there r more




@ColinTGraham Is failurNeeds starting in primary tho. PuMon, 18 Apr 2011 19:56:42 +0000 - tweet id

@ColinTGraham @missrSs need to learn other criteria of sMon, 18 Apr 2011 19:57:29 +0000 - tweet id

@bucharesttutor @vikkiiteaching the right n the perfect wMon, 18 Apr 2011 19:58:00 +0000 - tweet id

@vikkiiom @bucharesttuno "right" way? #mathchat

Mon, 18 Apr 2011 19:59:03 +0000 - tweet id

@ColinTGraham @subuthat you can use investigations inMon, 18 Apr 2011 19:59:41 +0000 - tweet id

@bucharesttutor @Colintangible ways to solve a prob n inMon, 18 Apr 2011 19:59:46 +0000 - tweet id

@suburbanlion @buchaany 1 method, but rather "why?".Mon, 18 Apr 2011 20:00:14 +0000 - tweet id

@bucharesttutor @vikkiiways. I give em one, can you findMon, 18 Apr 2011 20:01:37 +0000 - tweet id

@ColinTGraham @buch

be like the blind leading the blindMon, 18 Apr 2011 20:02:34 +0000 - tweet id

@ColinTGraham RT @mconstitutes"logical thinking" & so IMon, 18 Apr 2011 20:03:13 +0000 - tweet id

@bucharesttutor @subuthem to follow their own trails n inMon, 18 Apr 2011 20:03:27 +0000 - tweet id

@ColinTGraham @missrfind it needs constant effort throu


more likely as a perceived outcome? Rils are too scared to "fail." #mathchat

60069262634659841 - #42

adders For example, if an investigation huccess? #mathchat 60069459817283584 - #43

om yes confident teachers for sure but gy #mathchat 60069589228322816 - #44

tor but surely the whole point about inve

60069852836143104 - #45

banlion How much do you 'teach' investiyour course? If at all... #mathchat 60070009644396544 - #46

TGraham @missradders I always encouariably there is a winner #mathchat

60070032188768256 - #47

esttutor @ColinTGraham I agree. The ehus,"investigative work". #mathchat

60070151818723329 - #48

om that's correct or as I prefer to look atthe others #mathchat 60070498150793217 - #49

resttutor The approach of "all tangible w

hough = frustration #mathchat 60070737192550401 - #50

issradders: At first pupils need more guistructure it more at start of yr. #mathcha

60070901084995584 - #51

rbanlion @ColinTGraham yes preciselytincts to tackle the prob #mathchat

60070958869913601 - #52

adders Is there an age when Ss 'get' invhout secondary levels? #mathchat


T @missradders:

as no 'clear' answer, do

od teachers in

tigations is that there is

ative approaches so

rage S's to think in all

phasis shouldn't be on

it, there are many right

ays" is one way. It can

ance on whatt

ive them leads but tell

stigations or do you




Mon, 18 Apr 2011 20:04:07 +0000 - tweet id

@vikkiiom @ColinTGrahwith top sets as they go with it. #Mon, 18 Apr 2011 20:05:46 +0000 - tweet id

@vikkiiom @ColinTGrahstudents as I struggle with what aMon, 18 Apr 2011 20:06:45 +0000 - tweet id

@ColinTGraham @vikkiiretweeting with the hashtag! #matMon, 18 Apr 2011 20:08:07 +0000 - tweet id

@bucharesttutor @vikkii

like n no.of times n then ask the sMon, 18 Apr 2011 20:08:40 +0000 - tweet id

@suburbanlion @ColinTup, top-down) but maybe more exMon, 18 Apr 2011 20:08:49 +0000 - tweet id

@missradders @ColinTsay it's harder with lower ability. FMon, 18 Apr 2011 20:10:13 +0000 - tweet id

@ColinTGraham @subuapproached, you mean (I hope!)...Mon, 18 Apr 2011 20:11:58 +0000 - tweet id

@suburbanlion @ColinTMon, 18 Apr 2011 20:12:30 +0000 - tweet id

@ColinTGraham @missr

when other Ss in year group are gMon, 18 Apr 2011 20:13:12 +0000 - tweet id

@ColinTGraham @vikkiioff when the work is part of the finMon, 18 Apr 2011 20:14:35 +0000 - tweet id

@missradders @ColinTstress the skills. Lower sets strugMon, 18 Apr 2011 20:16:32 +0000 - tweet id

@ColinTGraham What aproblems with successfully introd


60071126495268865 - #53

m What do you mean by more "structurathchat

60071541915914240 - #54

m I struggle with investigations with lesount of support to give #mathchat

60071791040806912 - #55

m "Structure" was Hannah's (@missradhchat 60072132486504448 - #56

om @ColinTGraham rather suggest, giv

me S if he has alternatives #mathchat 60072272211349504 - #57

Graham good question. I try to show diffplicit instruction is needed #mathchat 60072311033835520 - #58

raham Needs consistency throughout thear of maths higher #mathchat 60072664332648448 - #59

banlion explicit instruction in how investi#mathchat

60073103946035200 - #61

Graham yes, of course =) #mathchat 60073238239256576 - #62

adders Do you think the self-confidence

oing further in their task? #mathchat 60073412076384256 - #63

m How do you decide when/how to helal exam... ;-) #mathchat 60073760631431168 - #64

raham Not if you make the outcome sele to "find" the maths to use #mathchat

60074250542907392 - #65

vice or suggestions would you give to scing investigations? #mathchat


"? I like investigations

confident/able

ders) word, I was just

prob of the same type

rent examples (bottom-

e KS (Inc 1&2) . I would

ations should be

issues are compounded

? Obviously it's hands-

m unimportant and

meone who is having




Mon, 18 Apr 2011 20:16:42 +0000 - tweet id

@bucharesttutor @subuhorse to the river but nt close enoMon, 18 Apr 2011 20:17:15 +0000 - tweet id

@mramidon @ColinTGr#mathchat Mon, 18 Apr 2011 20:17:27 +0000 - tweet id

@ColinTGraham @missrearlier... 'finding' the maths isn't 'Mon, 18 Apr 2011 20:18:55 +0000 - tweet id

@vikkiiom @ColinTGrah

generally work collaboratively/ helMon, 18 Apr 2011 20:19:07 +0000 - tweet id

@reflectivemaths #mathtaught mostly through investigatioMon, 18 Apr 2011 20:19:08 +0000 - tweet id

@vikkiiom @ColinTGrahopen question/answers #mathchaMon, 18 Apr 2011 20:19:38 +0000 - tweet id

@missradders @ColinTactivities as starters or plenaries.Mon, 18 Apr 2011 20:19:45 +0000 - tweet id

@ColinTGraham @mraintroducing it to your students... bMon, 18 Apr 2011 20:19:51 +0000 - tweet id

@suburbanlion @buchayou the door. You're the one thatMon, 18 Apr 2011 20:19:55 +0000 - tweet id

@reflectivemaths #mathflexible approach. Why is anyoneMon, 18 Apr 2011 20:20:46 +0000 - tweet id

@ColinTGraham @reflecYr7/8, but then the GCSE courseMon, 18 Apr 2011 20:21:05 +0000 - tweet id


60074293563891712 - #66

rbanlion @ColinTGraham so how far dogh to make it drink the water #mathchat

60074432923832320 - #67

ham Introducing to who? Teachers? Par

60074480822792192 - #68

adders This comes back to when I respoathematical' thinking #mathchat

60074852408754176 - #69

m No investigative work is formally exa

p each other out. #mathchat 60074903411494912 - #70

hat Sorry to join late. My school is goingns nxt yr60074906188136448 - #71

m Lower sets, it often become guided lt 60075032067579904 - #72

raham Start small. Use some of the shoReward gd skills not outcome #mathchat60075063705214976 - #73

idon Introducing it as a method within tht teachers need help too! #mathchat

60075087793102848 - #74

esttutor @ColinTGraham to quote Morpas to walk through it." #mathchat

60075103077150720 - #75

hat We believe that maths should be m*scared* of maths?60075318467239936 - #76

tivemaths I've experienced mini-investigork looms... #mathchat

60075397265637376 - #77


s the teacher take the

ents? Their students?

nded to @matthen2

ined. Top sets

mixed ability yr7 and

arning with a lot of

rter @nrichmaths

class, so primarily

eus: "I can only show

re about learning a

tion approaches in




@missradders @ColinTmathematically if they don't posseMon, 18 Apr 2011 20:21:18 +0000 - tweet id

@dlziegler "investigation#mathchat Mon, 18 Apr 2011 20:22:17 +0000 - tweet id

@ColinTGraham @subuyou have to find it... #mathchat Mon, 18 Apr 2011 20:22:23 +0000 - tweet id

@bucharesttutor @refledon't know the usefulness. Makin

Mon, 18 Apr 2011 20:22:32 +0000 - tweet id

@reflectivemaths #mathsquare of area 10 are good for egMon, 18 Apr 2011 20:22:50 +0000 - tweet id

@ColinTGraham @dlzieworking within, though! ;-) #mathcMon, 18 Apr 2011 20:23:32 +0000 - tweet id

@vikkiiom @reflectivemMon, 18 Apr 2011 20:24:01 +0000 - tweet id

@missradders @bucharTo some maths is right and wrongMon, 18 Apr 2011 20:24:06 +0000 - tweet id

@ColinTGraham @missrvocabulary when Ss are explaininMon, 18 Apr 2011 20:24:26 +0000 - tweet id

@suburbanlion RT @miare scared of failure. To some maMon, 18 Apr 2011 20:24:47 +0000 - tweet id

@reflectivemaths @misThey are wrong about that thoughMon, 18 Apr 2011 20:25:55 +0000 - tweet id

@missradders @reflectiinstill that into maths teaching. #mMon, 18 Apr 2011 20:27:04 +0000 - tweet id


raham No but they can't show that theyss the mathematical knowledge too? #m60075451409907713 - #78

" aren't in place of coursework, they are

60075699666558976 - #79

banlion Or there's a wall over there and

60075723775418368 - #80

tivemaths I don't think that any S is "scaem aware is our duty #mathchat

60075763034099712 - #81

hat I think it's important to have easy ac

60075837386534912 - #82

ler That depends which particular educahat 60076014360985600 - #83

ths 1089? What is that? (Or am I being60076135081447424 - #84

sttutor @reflectivemaths I disagree. Th. Ticks and crosses. #mathchat 60076156313014272 - #85

adders Sometimes (often) we don't enco /communicating thoughts #mathchat

60076239087607808 - #86

sradders: @bucharesttutor @reflectiveths is right and wrong. Ticks and crosse60076328405303296 - #87

radders @bucharesttutor I think to most#mathchat

60076614796574721 - #88

emaths @bucharesttutor I agree and it'sathchat 60076902785880064 - #89


can thinkathchat

the coursework.

a way through it, but

red" of Math, they just

ess tasks. 1089 and

tion system you are

ense?!) #mathchat

y are scared of failure.

urage use of 'low-level'

aths I disagree. They.#mathchat

ppl maths is right/wrong.

our job (+ primary) to




@reflectivemaths @vikkithat. Add last two nos together #Mon, 18 Apr 2011 20:27:34 +0000 - tweet id

@ColinTGraham I feel thbetween: maths/arithmetic, mathsMon, 18 Apr 2011 20:27:34 +0000 - tweet id

@bucharesttutor @missMath guarded with the right approMon, 18 Apr 2011 20:28:12 +0000 - tweet id

@reflectivemaths @ColiMon, 18 Apr 2011 20:28:25 +0000 - tweet id

@suburbanlion @missralike its out of their control? #mathMon, 18 Apr 2011 20:28:27 +0000 - tweet id

@ColinTGraham HashtaMon, 18 Apr 2011 20:29:07 +0000 - tweet id

@bucharesttutor RT @

#mathchat Mon, 18 Apr 2011 20:30:15 +0000 - tweet id

@missradders @suburbup thinking there's an ans. You gMon, 18 Apr 2011 20:30:18 +0000 - tweet id

@ColinTGraham Does adoes on his excellent videos... thaMon, 18 Apr 2011 20:30:38 +0000 - tweet id

@reflectivemaths @misalways struggled with maths dear'Mon, 18 Apr 2011 20:30:42 +0000 - tweet id

@mramidon RT @Colin#mathchat <-- Thought I retweet tMon, 18 Apr 2011 20:30:47 +0000 - tweet id

@dlziegler @missraddertalk about 'openess' in Math. #maMon, 18 Apr 2011 20:31:20 +0000 - tweet id


iom Not dense! Pick 3digit no. Reverseathchat

60077030636658688 - #90

ere is also still a great confusion in many /algorithms, maths/calculating #mathcha60077027788718080 - #91

adders @reflectivemaths yes true, instalach n attitude #mathchat 60077188619304960 - #92

TGraham absolutely. Maths does not e60077243677941760 - #93

dders perhaps its not that they're scaredhat

60077251487731713 - #94

people! or do I have to retweet you... ;-60077419310235648 - #95

olinTGraham: Hashtag people! or do I h

60077703189106690 - #96

nlion I don't think they're used to 'openet to it. You stop. #mathchat

60077717760126976 - #97

yone use "think-aloud" as a teaching apt to me is a starting point #mathchat 60077800161423360 - #98

radders @bucharesttutor If I hear one m... #mathchat 60077818922545152 - #99

Graham: Hashtag people! or do I have tat tweet :-)

60077838530916353 - #100

so it's no wonder it is a paradigm shift fhchat

60077977584668672 - #101


nd subtract. Reverse

peoples' minds

ling in them the right

ual sums. #mathchat

of failure, but they feel

#mathchat

ve to retweet you... ;-)

ss' in Maths. They grow

proach? @jamestanton

ore granny say 'Well I

retweet you... ;-)

r teachers when we




@reflectivemaths @Colialongside if it's one I've not doneMon, 18 Apr 2011 20:31:42 +0000 - tweet id

@ColinTGraham RT @mfrom their previous tchrs what theMon, 18 Apr 2011 20:31:43 +0000 - tweet id

@bucharesttutor @missMath is easy after all #mathchat,Mon, 18 Apr 2011 20:32:01 +0000 - tweet id

@reflectivemaths #mathinvestigation the way you expect

Mon, 18 Apr 2011 20:32:56 +0000 - tweet id

@missradders @reflectithey tell the Eng teachers they coMon, 18 Apr 2011 20:33:03 +0000 - tweet id

@mramidon @ColinTGrweek, I'd say. Some stus need thMon, 18 Apr 2011 20:33:16 +0000 - tweet id

@reflectivemaths @Vickempasise creativity #mathchat Mon, 18 Apr 2011 20:33:53 +0000 - tweet id

@Vickster027 @reflectivbe an ethos of it's ok to be wrongMon, 18 Apr 2011 20:33:55 +0000 - tweet id

@mramidon 1 other opti

quietly prep the student the day bMon, 18 Apr 2011 20:34:40 +0000 - tweet id

@ColinTGraham I haven'record a 'think-aloud' as they worMon, 18 Apr 2011 20:34:50 +0000 - tweet id

@chris_1974 @reflectiveMon, 18 Apr 2011 20:35:03 +0000 - tweet id

@missradders @dlziegleboard it's much easier as you canMon, 18 Apr 2011 20:36:01 +0000 - tweet id


TGraham Yes. I use a visualiser to do t4 #mathchat

60078067674124289 - #102

ramidon: What has worked 4 me & my nlike, find math in it... #mathchat 60078073760059392 - #103

adders @suburbanlion maybe you canome inspiration could help

60078149660180481 - #104

hat I'd encourage your faculties to writetudents to. v interesting

60078377893236736 - #105

emaths I hate that! Parents: I was neverld never read?! #mathchat

60078410424262656 - #106

ham #mathchat I use "think a-loud" quitguidance.

60078461959680001 - #107

ster027 I'm not taking all the blame for th

60078619803914241 - #108

maths @missradders @bucharesttutor Iand learn from mistakes #mathchat 60078628741971968 - #109

n is 2 have a STUDENT do the think alo

fore 2 help w/confidence. #mathchat 60078814910353408 - #110

t had the chance to do so yet, but I thinkwould be v useful #mathchat

60078856358465537 - #111

maths arithmogons good too. Accesible.60078913275179008 - #112

r No but it's a necessary shift. If you getall supp each other #mathchat

60079154590265345 - #113


e same investigation

ew 6th grds is learn

lways inspire them by

up their own

any gd at Maths. Do

a bit. A couple times a

at! I try hard to

t right.There needs to

ud. Sometimes I'll

getting students to

#mathchat

your whole dept on




@ColinTGraham I alwayon history too... #mathchat Mon, 18 Apr 2011 20:36:02 +0000 - tweet id

@Vickster027 @missradPeople say they can't do it beforeMon, 18 Apr 2011 20:36:15 +0000 - tweet id

@reflectivemaths @missomehow. What if you changed...'Mon, 18 Apr 2011 20:36:24 +0000 - tweet id

@emlanis #mathchat? It'genius lol

Mon, 18 Apr 2011 20:36:34 +0000 - tweet id

@Janshs @ColinTGrahacome up & write on IWB whilst woMon, 18 Apr 2011 20:36:46 +0000 - tweet id

@mramidon @ColinTGrAudio only? Doc Cam for video &Mon, 18 Apr 2011 20:37:03 +0000 - tweet id

@Janshs sorry chipped iMon, 18 Apr 2011 20:37:30 +0000 - tweet id

@ColinTGraham @mracapture thinking/do a screencast..Mon, 18 Apr 2011 20:37:58 +0000 - tweet id

@bucharesttutor I alwayadd/subtract as per the remainingMon, 18 Apr 2011 20:38:06 +0000 - tweet id

@dlziegler Have to go buMon, 18 Apr 2011 20:38:36 +0000 - tweet id

@mramidon @ColinTGrnot recorded. Will start that. ThanMon, 18 Apr 2011 20:39:01 +0000 - tweet id

@reflectivemaths #mathopenly saying 'I don't know if this iMon, 18 Apr 2011 20:39:09 +0000 - tweet id


introduce pi using an investigation or tw

60079158226718721 - #114

ers @reflectivemaths Thats getting morthey have even started #mathchat 60079215910981632 - #115

radders Student investigating 'I've finish#mathchat

60079252669874177 - #116

my pleasure to follow a mathematician

60079292922597376 - #117

- enter the learning journal! I get stdtsrking on problems #mathchat 60079343602376705 - #118

ham Love the idea of recording the thinkPencil/Paper? #mathchat 60079414003769345 - #119

to #mathchat w/out knowing topic - typic60079526725681152 - #120

idon If students are working on a PC, us. #mathchat 60079647370649600 - #121

use a pizza to illustrate fraction probleparts #mathchat

60079678152646656 - #122

t thanks for the great conversation. #mat60079806485762048 - #123

ham Like it. I've had stus create Keynots #mathchat

60079911343370241 - #124

hat I like to encourage the use of 'conjes true.'60079943618543616 - #125


o or three, often based

e and more common.

d'. Me: 'I doubt it

specially if your a

o write in margin &/or

aloud! Great idea.

al of me

e the webcam to

s then I ask the S to

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/Powerpoints but have

ture'. That way, you're




@ColinTGraham @dlzieMon, 18 Apr 2011 20:39:09 +0000 - tweet id

@Vickster027 @reflectiv

shop for 2 weeks & the kids lovedMon, 18 Apr 2011 20:39:26 +0000 - tweet id

@bucharesttutor @dlzieMon, 18 Apr 2011 20:39:34 +0000 - tweet id

@suburbanlion I'm remihttp://bit.ly/eJKPO7 #mathchat Mon, 18 Apr 2011 20:39:45 +0000 - tweet id

@mramidon @reflectivelet's figure it out." #mathchat Mon, 18 Apr 2011 20:39:54 +0000 - tweet id

@chris_1974 #mathchat slowly. Commenting and meta coMon, 18 Apr 2011 20:40:28 +0000 - tweet id

@Janshs @chris_1974 d

(LJs)?#mathchat Mon, 18 Apr 2011 20:40:29 +0000 - tweet id

@ColinTGraham @reflecthen say: "What if we draw themMon, 18 Apr 2011 20:40:46 +0000 - tweet id

@ColinTGraham @buchMon, 18 Apr 2011 20:41:27 +0000 - tweet id

@suburbanlion Do we le"show them how"? #mathchat Mon, 18 Apr 2011 20:41:30 +0000 - tweet id

@DIJASoftware I find usishop etc #mathchat http://itunes.cMon, 18 Apr 2011 20:41:34 +0000 - tweet id

@chris_1974 @Janshs d

#mathchat Mon, 18 Apr 2011 20:41:54 +0000 - tweet id


ler Thanks for dropping in Debbie. #mat6 0079943232651265 - #126

maths yeah creativity in numeracy is im

it & learnt loads #mathchat 60080016507158528 - #127

ler bye Debbie :) #mathchat 60080048887177216 - #128

ded of this @republicofmath article abo

60080094152110080 - #129

aths Great idea on conjecture. My favor

60080132462878720 - #130

RT @chris_1974 @Janshs learning jourmenting on work.

60080273773178880 - #131

o you think they work w/ Maths best or e

60080281381646336 - #132

tivemaths eg. measure angles in trianglen a ball...?" #mathchat

60080350868668416 - #133

resttutor Argh! Pizza! What's wrong with60080521690087424 - #134

Ss investigate indefinitely? or do we ev

60080535107674112 - #135

ng math in real life situations is the bestom/apps/monkeymaths 60080552312717313 - #136

on't know, as only use for maths. Many s

60080637821992960 - #137


chat

ortant. We had a toy

t "cognitive theft"

ite line is "I don't know,

als are spreading

en only

s, add them together,

cake... ;-P #mathchat

ntually step in and

ay, like setting up a

tudents seem reluctant.




@SofARMaths @Colindo when tutoring - at any level. #Mon, 18 Apr 2011 20:42:31 +0000 - tweet id

@bucharesttutor @Colineater #mathchat Mon, 18 Apr 2011 20:42:45 +0000 - tweet id

@ColinTGraham @subulevel, it's not the same as finding fMon, 18 Apr 2011 20:43:12 +0000 - tweet id

@Vickster027 @stephenj

agree. We have steps to successMon, 18 Apr 2011 20:43:30 +0000 - tweet id

@stephenjpeacock @ViNeed to focus on preocedure rathMon, 18 Apr 2011 20:44:04 +0000 - tweet id

@chris_1974 RT @Colinthem together, then say "What ifMon, 18 Apr 2011 20:44:10 +0000 - tweet id

@bucharesttutor @subuthen give em a certain time to try.Mon, 18 Apr 2011 20:44:39 +0000 - tweet id

@ColinTGraham @christowards communicating findingsMon, 18 Apr 2011 20:45:02 +0000 - tweet id

@Janshs anyone else usMon, 18 Apr 2011 20:45:10 +0000 - tweet id

@Vickster027 @stephenjanswer is wrong they refer to STSMon, 18 Apr 2011 20:45:27 +0000 - tweet id

@Janshs RT @ColinTGrcommunicating findings may helpMon, 18 Apr 2011 20:46:27 +0000 - tweet id

@missradders @suburblearn inv tech w-out demo of "how


Graham #mathchat @SofarMaths "Thinathsage

6 0080790045851648 - #138

TGraham lol I use a pizza cos I am not t

60080849080684544 - #139

banlion That's the keypoint. If you're resormula for sum of n odds #mathchat 60080961408352256 - #140

peacock @reflectivemaths @missradde

which they refer to. #mathchat 60081037853720576 - #141

kster027 @reflectivemaths @missraddeer than answer #mathchat 60081180049018880 - #142

Graham @reflectivemaths eg measuree draw them on a ball...?" #mathchat

60081206351499264 - #143

rbanlion would tell em that there exists aIf NO give em the answer #mathchat 60081326434435073 - #144

1974 @Janshs Increased requirementay help up the use of LJs though #math

60081424077819904 - #145

ed Learning Journals w/ stdts? #mathch60081459607764992 - #146

peacock @reflectivemaths @missraddeto check which step was wrong #mathc

60081529241612288 - #147

ham Increased requirement of revised cup the use of LJs though #mathchat >yu60081780501389312 - #148

nlion Think you have to step in at certai" to think mathematically #mathchat


k-aloud" - exactly what I

o much of a sweet

arching at doctoral

s @bucharesttutor I

rs @bucharesttutor.

angles in triangles, add

way to go about it n

f revised curriculumchat

t

s @bucharesttutor Ifat

urriculum towardsp

points. They can't




Mon, 18 Apr 2011 20:46:49 +0000 - tweet id

@bucharesttutor @stepprocedures leading em to think aMon, 18 Apr 2011 20:46:58 +0000 - tweet id

@ColinTGraham Is onecomparing work with the approacMon, 18 Apr 2011 20:47:02 +0000 - tweet id

@Janshs @chris_1974 cthinking if was across curric this wMon, 18 Apr 2011 20:48:28 +0000 - tweet id

@ColinTGraham As @st

but we also need to communicateMon, 18 Apr 2011 20:48:41 +0000 - tweet id

@missradders @ColinTapproaches - discuss and get pupMon, 18 Apr 2011 20:48:43 +0000 - tweet id

@Janshs RT @ColinTGrof Ss comparing work with the apMon, 18 Apr 2011 20:49:16 +0000 - tweet id

@ColinTGraham @missrthey will probably share, but do grMon, 18 Apr 2011 20:50:10 +0000 - tweet id

@bucharesttutor Ok peo#mathchat. Thanks a lot @ColinTMon, 18 Apr 2011 20:50:56 +0000 - tweet id

@ColinTGraham @buchMon, 18 Apr 2011 20:51:21 +0000 - tweet id

@busynessgirl RT @su"cognitive theft" http://bit.ly/eJKPMon, 18 Apr 2011 20:51:23 +0000 - tweet id

@mramidon @bucharestsoccer practice. #mathchat ThankMon, 18 Apr 2011 20:51:51 +0000 - tweet id

@EarlSamuelson @Coliexplaining#mathchat Modeling th


6 0081872633475072 - #149

enjpeacock @Vickster027 @reflectivemout it n finally working the problems #ma60081911229452289 - #150

f the 'overlooked' factors of investigationof others to the same task? #mathchat

60081928325447681 - #151

ming back to the reluctant thing (reflectiould be better #mathchat 60082289413062656 - #152

phenjpeacock says procedural approac

findings successfully too. #mathchat 60082341346947072 - #153

raham If working in grps shouldn't see oils to explain their thinking #mathchat 60082352596058112 - #154

ham: Is one of the 'overlooked' factors oroach of others to the same task? #mat

60082488567021568 - #155

adders If there is a group working individoups share w/ other groups? #mathchat 60082717378887680 - #156

ple, got to go as another long day awaitsraham for a great effort

60082910656598016 - #157

resttutor Thanks for your contributions t60083012301361152 - #158

urbanlion: I'm reminded of this @republi7 #mathchat

60083021839212544 - #159

tutor @ColinTGraham Good bye all!! Offs to you all!! Have a great day.60083141259436032 - #160

TGraham Hi Colin. I always "think aloudught patterns is still an effective approa


aths @missraddersthchat

s the idea of Ss

on, LJs): I cannot help

h should be focused on,

thers? Value diff

f investigations the ideachat

ually on same task,

me tomorrow

o, Vijay! #mathchat

ofmath article about

to my daughter's

" whenh




Mon, 18 Apr 2011 20:51:53 +0000 - tweet id

@ColinTGraham In the lintroducing or increasing investigMon, 18 Apr 2011 20:52:08 +0000 - tweet id

@Vickster027 @Peacocand helps them correct there mistMon, 18 Apr 2011 20:52:22 +0000 - tweet id

@missradders @ColinTthe start of a 2nd lesson. Get oneMon, 18 Apr 2011 20:53:03 +0000 - tweet id

@PeacockMaths @ColinMon, 18 Apr 2011 20:53:23 +0000 - tweet id

@Janshs also re #mathctechnology affecting student literaMon, 18 Apr 2011 20:53:34 +0000 - tweet id

@mramidon @ColinTGrstudents to embrace the challengMon, 18 Apr 2011 20:53:49 +0000 - tweet id

@missradders Have to g#mathchat Mon, 18 Apr 2011 20:54:17 +0000 - tweet id

@ColinTGraham @missrof the investigation and forget to hMon, 18 Apr 2011 20:54:19 +0000 - tweet id

@busynessgirl #mathch

learning is to much content, too litMon, 18 Apr 2011 20:54:35 +0000 - tweet id

@Janshs #mathchat RTmath real for their students. http:// Mon, 18 Apr 2011 20:54:39 +0000 - tweet id

@ColinTGraham @missrMon, 18 Apr 2011 20:54:58 +0000 - tweet id

@Vickster027 @Peacocmixabilty pairs/groups? #mathchaMon, 18 Apr 2011 20:55:32 +0000 - tweet id


6 0083146955296768 - #161

st 10 minutes or so, what do you see astion in the classroom? #mathchat

60083209639182336 - #162

Maths Its helpful for children to pinpointkes. #mathchat

60083270758572033 - #163

raham It's important to at some point bepupil to switch grps? #mathchat 60083442116853760 - #164

TGraham absolutely, maths talk is vital.60083527173160960 - #165

at ? RT @cyndidannerkuhn Cyndi Danny? http://goo.gl/fb/2SwF9

60083570294788096 - #166

ham Over coming the habits of the stud.. Some just WANT THE ANSWER. #m

60083635096788992 - #167

o. Thanks @ColinTGraham and everyon

60083751316754432 - #168

adders Agreed. It can be easy to focus tave Ss evaluate outcomes #mathchat 60083760007356416 - #169

t My dissertation research says the bigg

le time.60083828928167936 - #170

WeAreTeachers Read about how ourht.ly/4Bmh1 60083844266733568 - #171

adders Thanks for joining us Hannah! #60083923253866496 - #172

Maths when you have maths talk. Do yo

60084066824888320 - #173


the main challenges to

here they go wrong

that as a plenary or at

mathchat

er-Kuhn How is

nts. Getting thethchat

e else. V interesting :)

o much on the process

est hurdle to inquiry

inning teachers make

athchat

u have it in ability or




@ColinTGraham @busybring in their own questions or shMon, 18 Apr 2011 20:55:45 +0000 - tweet id

@ColinTGraham @earlsapproach the same task the sameMon, 18 Apr 2011 20:59:04 +0000 - tweet id

@NancyWhite RT @bushurdle to inquiry learning is to muMon, 18 Apr 2011 20:59:17 +0000 - tweet id

@ColinTGraham But theteachers at public institutions hav

Mon, 18 Apr 2011 20:59:46 +0000 - tweet id

@Janshs RT @ColinTGrincreasing investigation in the claMon, 18 Apr 2011 21:00:12 +0000 - tweet id

@ColinTGraham Well, thas answers...! Thanks for your coMon, 18 Apr 2011 21:01:52 +0000 - tweet id

@SofARMaths @Colinexperience? I want to know... WhMon, 18 Apr 2011 21:02:17 +0000 - tweet id

@EarlSamuelson @Coli"toolbox" #mathchat Mon, 18 Apr 2011 21:03:39 +0000 - tweet id

@ColinTGraham Nice to@mathchat to keep updated on cMon, 18 Apr 2011 21:03:39 +0000 - tweet id

@EarlSamuelson @Colimodeling approach initially; they uMon, 18 Apr 2011 21:03:40 +0000 - tweet id

@elmibester RT @busynhurdle to inquiry learning is to mu

Mon, 18 Apr 2011 21:03:41 +0000 - tweet id


essgirl So how do you determine conteuld it be teacher directed? #mathchat

60084121946423296 - #174

muelson One other thing, forgotten byway, so you validate thinking #mathcha60084956155752448 - #175

nessgirl: #mathchat My dissertation resh content, too little time.

60085012153901056 - #176

can control delivery? RT @busynessgircontrol over content. #mathchat

60085131288915968 - #177

ham "what do you see as the main challsroom?" > tests?? #mathchat

60085239166402560 - #178

at's it for another day, people! As usual jtributions. #mathchat

60085662250041344 - #179

Graham #mathchat. Investigations begin I was ... I don't know the answer but ..

60085764511375360 - #180

TGraham …cont) meaningful strategies.

60086111459999744 - #181

see some more new people this time... ranges/topics etc. #mathchat

60086110734393344 - #182

TGraham #mathchat I agree.....many ofse that to develop their own (cont…60086115100667904 - #183

essgirl: #mathchat My dissertation reseah content, too little time.

60086115897573376 - #184


t? Should students

any, is not all people

arch says the biggest

l: Very few math

enges to introducing or

st as many questions

with your own.

.....goes into their

member to follow

my students want that

rch says the biggest



#Mathchat -- Monday, 18th April 2011 How do I introduce, or increase the amount of, investigative work? (2)

@reflectivemaths #mathchat Have your teachers write a proof of the 1089 problem thenuse different approaches as a teaching toolMon, 18 Apr 2011 21:03:53 +0000 - tweet id 60086166275362816 - #185

@Janshs @ColinTGraham thanks Colin, sorry late as usual, was interesting though andnew folks to follow too #mathchat Mon, 18 Apr 2011 21:04:00 +0000 - tweet id 60086197095120896 - #186

@theother66 RT @Janshs: RT @ColinTGraham "what do you see as the mainchallenges to introducing or increasing investigation in the classroom?" > tests??#mathchat Mon, 18 Apr 2011 21:04:30 +0000 - tweet id 60086323675013120 - #187

@Janshs RT @reflectivemaths #mathchat Have your teachers write a proof of the 1089problem then use different approaches as a teaching tool >> or ..

Mon, 18 Apr 2011 21:05:09 +0000 - tweet id 60086488741842945 - #188

@SofARMaths @ColinTGraham #mathchat. Logical thinking. Any use comparing toprogramming. If then else. Problem with if and only if ... Not much help?Mon, 18 Apr 2011 21:05:10 +0000 - tweet id 60086489467465728 - #189

@reflectivemaths @Vickster027 could you post the STS somewhere pls? #mathchat Mon, 18 Apr 2011 21:06:28 +0000 - tweet id 60086817524948992 - #190

@Janshs #mathchat (@reflectivemaths ) I sometimes give 'solution' & get stdts to do'working out' & cf each other; or a jigsaw with solution jumbledMon, 18 Apr 2011 21:06:30 +0000 - tweet id 60086828107186177 - #191

@Janshs #mathchat (@reflectivemaths ) I sometimes give 'solution' & get stdts to do'working out' & cf each other; or a jigsaw with solution jumbledMon, 18 Apr 2011 21:06:30 +0000 - tweet id 60086827943600128 - #192

@SofARMaths @ColinTGraham #mathchat. Opportunity to relate logical thinking toprobability. Not good enough to be 99% sure for a proof - another link.Mon, 18 Apr 2011 21:07:55 +0000 - tweet id 60087181401792512 - #193

@reflectivemaths @Janshs what sort of 'solution' would you give? #mathchat Mon, 18 Apr 2011 21:08:09 +0000 - tweet id 60087240793137152 - #194

@Janshs @reflectivemaths just the 'answer' basically .... then they come up w/ 'how to'(but this is just for 11 - 16 yo) #mathchat Mon, 18 Apr 2011 21:09:05 +0000 - tweet id 60087474797555713 - #195

@reflectivemaths @theother66 @colintgraham Jo Boaler says that investigationalteaching improves test results #mathchat Mon, 18 Apr 2011 21:09:35 +0000 - tweet id 60087601406816256 - #196



#Mathchat Monday 18th April 2011

@reflectivemaths @Janone' what was the Q?Mon, 18 Apr 2011 21:11:16 +0000 - tweet id

@Janshs @reflectivematlimited stuff shows good LJ => mMon, 18 Apr 2011 21:12:28 +0000 - tweet id

@Janshs @reflectivemat- explain why #mathchat Mon, 18 Apr 2011 21:13:33 +0000 - tweet id

@Vickster027 @reflectivkids to make them successful. Yo

Mon, 18 Apr 2011 21:14:22 +0000 - tweet id

@mathchat Don't forget t#edchat#scichat #elemchat #ntchMon, 18 Apr 2011 21:18:23 +0000 - tweet id

@ColinTGraham @refleccommunicative work increases teMon, 18 Apr 2011 21:23:47 +0000 - tweet id

How do I introduce or increase the amo

hs #mathchat So like the answer is 'Joh

60088027296436224 - #197

s I agree w/ her (who wouldn't, she haset or exceed prediction #mathchat 60088327315013632 - #198

s occasionally but more often like what i

60088601513426944 - #199

maths steps to success is a process yodo it with the kids #mathchat

60088804727472128 - #200

e votes! #mathchat: http://bit.ly/c9KL7s t #gtchat

60089817949683712 - #201

tivemaths I've always believed that. It's tt scores, not teaching 2 test #mathchat

60091174614085632 - #202

unt of investigative work? (2)

should pick the blue

gd evidence); my

s angle in this diag? 30

go through with the

ukedchat

e same with EFL,

2011.04.18 how do i introduce, or increase the amount of, investigative work (2)

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