2011.06.20 how do i avoid students seeing the mathematics curriculum as being a set of disjointed...

8/6/2019 2011.06.20 How Do I Avoid Students Seeing the Mathematics Curriculum as Being a Set of Disjointed Topics (Follo

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Monday, 20th June 2011How do I avoid stu

@ColinTGraham Actually#mathchat#elemchatMon Jun 20 19:30:41 +0000 2011 - tweet id

@ColinTGraham For firstsometimes! Don't forget ---> #matMon Jun 20 19:31:27 +0000 2011 - tweet id

@ColinTGraham If you athe beginning so the archive can fMon Jun 20 19:32:01 +0000 2011 - tweet id

@ColinTGraham If your thours, or put me in an @ reply an

Mon Jun 20 19:32:49 +0000 2011 - tweet id

@ColinTGraham The topcurriculum as a set of disjointed tMon Jun 20 19:33:41 +0000 2011 - tweet id

@ColinTGraham We tencan come up with some practicalMon Jun 20 19:34:31 +0000 2011 - tweet id

@delta_dc Would giving ltopics and how they relate help?Mon Jun 20 19:35:38 +0000 2011 - tweet id

@earlsamuelson @Colindifferent topics; perhaps that canMon Jun 20 19:35:45 +0000 2011 - tweet id

@stefras @ColinTGraha

topics is to plan around a recurrinMon Jun 20 19:35:50 +0000 2011 - tweet id

@ColinTGraham @deltaresearch where they came from iMon Jun 20 19:36:31 +0000 2011 - tweet id

@suburbanlion Potentialhttp://bit.ly/9aAP4Y#mathchatMon Jun 20 19:36:54 +0000 2011 - tweet id

@stefras I like @delta_d#Mathchat

ents seeing the mathematics curriculum as being a s

, #mathchat is now! Hello everyone! @s

2893150233964544 - #1

-timers, don't try to keep up with everyonhchat2893342458916864 - #2

re RTing or it's a long tweet, make sure tind it!2893485044285440 - #3

eets are protected, you can either unprI will RT #mathchat

2893684277915648 - #4

ic is "How do I avoid students seeing thepics?" #mathchat2893906169184256 - #5

ed to generalize a wee bit on this last tiuggestions today! ;-) #mathchat2894113988554752 - #6

earners a history lesson in the developmMathchat2894395946442753 - #7

TGraham ...transformations can be applielp to tie them together #mathchat

2894424195072001 - #8

One way we might avoid students seei

theme. #mathchat2894444071895040 - #9

dc Maybe, Dave. Or give them the list ostead...? #Mathchat2894616990466048 - #10

ly useful reference: "Math is not linear" b

2894714281537536 - #11

's suggestion of using history lessons to

t of disjointed topics? (follow-up)

efras @pavkahu

e, things can move fast

e #mathchat is near

otect for a couple of

mathematics

e, so let's see if we

ent of the different

ed across many

ng math as disjointed

topics and ask them to

y Alison Blank

engage in math topics.


2/23


Mon Jun 20 19:37:11 +0000 2011 - tweet id

@AshleyWalther Give "band use it as unit theme problemMon Jun 20 19:37:14 +0000 2011 - tweet id

@ColinTGraham @stefrcertainly an approach. #mathchatMon Jun 20 19:37:18 +0000 2011 - tweet id

@delta_dc @ColinTGrahexplore?#mathchatMon Jun 20 19:37:36 +0000 2011 - tweet id

@delta_dc @ColinTGrah

explore?#mathchatMon Jun 20 19:37:36 +0000 2011 - tweet id

@maxmathforum @earlsimilarity/congruence through tranMon Jun 20 19:37:46 +0000 2011 - tweet id

@stefras @delta_dc WhMon Jun 20 19:38:18 +0000 2011 - tweet id

@ColinTGraham @subuthough, don't we... ? #mathchatMon Jun 20 19:38:19 +0000 2011 - tweet id

@delta_dc @stefras Thaare categorized. #MathchatMon Jun 20 19:38:49 +0000 2011 - tweet id

@ColinTGraham @delta

an on-going project as new topicsMon Jun 20 19:39:08 +0000 2011 - tweet id

@delta_dc @stefras Condeveloped. #MathchatMon Jun 20 19:39:17 +0000 2011 - tweet id

@mathfour @stefras I likMon Jun 20 19:39:18 +0000 2011 - tweet id

@mathhombre#mathchMon Jun 20 19:39:21 +0000 2011 - tweet id


2894783172980736 - #12

ig problems" that involve more than onemathchat2894796439560192 - #13

s Some kind of project, theme or topic a

2894814785454080 - #14

am Does math have a family tree that th

2894890069012482 - #16

am Does math have a family tree that th

2894890069012482 - #17

amuelson was just wondering about thasformations beneficial #mathchat2894930137198594 - #18

t do you mean by a math family tree? C2895064099069952 - #19

banlion Useful link, Ryan. We know it's

2895071019679745 - #20

way learners can also develop an unde

2895194420297729 - #21

dc There is probably one out there. If n

are introduced... #mathchat2895276083392513 - #22

nections, yes. But also the way branches

2895314029252609 - #23

the recurring theme idea. #mathchat2895318039019521 - #24

t Euler's whole presentation of congruen2895328898064384 - #25


opic or skill to solve

an umbrella is

y could

y could

. why is teaching

nnections?#mathchat

on-linear already,

standing of how topics

t, again, that could be

of mathematics

ce is through motions.


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@suburbanlion @delta_http://bit.ly/5k3Wh#mathchatMon Jun 20 19:39:32 +0000 2011 - tweet id

@suburbanlion @ColinTthis discussion #mathchatMon Jun 20 19:40:08 +0000 2011 - tweet id

@earlsamuelson @maxconnecting geometric to algebraicMon Jun 20 19:40:10 +0000 2011 - tweet id

@stefras @delta_dc I liktogether, particularly as patterns

Mon Jun 20 19:40:14 +0000 2011 - tweet id

@ColinTGraham @earlswas part of the thinking behind mMon Jun 20 19:40:16 +0000 2011 - tweet id

@mathhombre#mathchJacobs. Fine book. Plays into theMon Jun 20 19:40:32 +0000 2011 - tweet id

@delta_dc @suburbanlio#MathchatMon Jun 20 19:40:48 +0000 2011 - tweet id

@bucharesttutor Like I t#mathchat topics one at a time anMon Jun 20 19:40:53 +0000 2011 - tweet id


@ColinTGraham @AshlAshley? #mathchatMon Jun 20 19:41:06 +0000 2011 - tweet id

@stefras @ColinTGrahaMon Jun 20 19:41:29 +0000 2011 - tweet id

@mathfour @mathhomb@blowthemind that was so cool!Mon Jun 20 19:41:51 +0000 2011 - tweet id


c By math family tree, you mean somet

2895377753313280 - #26

Graham yes, but think the connections a

2895526646923264 - #27

athforum I believe transformations lendthrough patterning #mathchat2895536943939584 - #28

the way big projects and history lessonppear in activities #Mathchat

2895553695981568 - #29

muelson I basically take that view at the'Silent folds' video. #mathchat

2895560666918913 - #30

t this topic reminds me of Mathematics:nice discussion ...2895627981295616 - #31

n Yes, but with content more explicit. Ho

2895695249547265 - #32

ach fractions, decimals and percentaged using egs from real life2895715709358080 - #33

t ... is math invented or discovered. (I'm2895741303009282 - #34

yWalther What would you see as a 'big

2895769169965056 - #35

DO you have a link to your silent folds2895866263896064 - #36

e OH! I heard a podcast about inventedmathchat2895958257569792 - #37


ing like this?

re the useful part for

themselves very well to

can bring topics

moment too, Earl. That

human endeavor by

the ideas developed.

in that order

a discovered guy.)

roblem' in this case,

ideo? #mathchat

s. discovered on


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@maxmathforum @earlalgebra" how do transformationsMon Jun 20 19:42:13 +0000 2011 - tweet id

@ColinTGraham @math'primary school' approach in a secMon Jun 20 19:42:22 +0000 2011 - tweet id

@bucharesttutor @mathMon Jun 20 19:42:25 +0000 2011 - tweet id

@delta_dc @stefras Thisteachers http://t.co/h8JaYHa#MaMon Jun 20 19:42:41 +0000 2011 - tweet id

@stefras @mathhombrediscovered, but need drives innovMon Jun 20 19:43:02 +0000 2011 - tweet id

@earlsamuelson @mathconnecting phase shifts, for examMon Jun 20 19:43:07 +0000 2011 - tweet id

@ColinTGraham @stefrlivebinder: http://bit.ly/iDSKZZ#mMon Jun 20 19:43:29 +0000 2011 - tweet id

@maxmathforum I wondgood problem and the next persoMon Jun 20 19:44:23 +0000 2011 - tweet id

@delta_dc Sorry for the sarchive later.Mon Jun 20 19:44:36 +0000 2011 - tweet id

@mathfour @bucharesttthought on invented vs. discovereMon Jun 20 19:44:41 +0000 2011 - tweet id

@ColinTGraham @maxmean by 'proof' in an academic, aMon Jun 20 19:45:08 +0000 2011 - tweet id

@stefras See you @deltMon Jun 20 19:45:37 +0000 2011 - tweet id


amuelson i worry tho it gets lost in "lookonnect to traditional proof#mathchat2896051316600834 - #38

our @stefras I like it too. I think the longondary setting, the better. #mathchat2896091464466432 - #39

hombre for me #math is invented #math2896100104732672 - #40

describes a theme unit I wrote for presehchat2896168295739392 - #41

I think invention and discovery both occuation, so invented. #mathchat2896258729127936 - #42

hombre I like trying to lead students to "ple, between topics #mathchat2896278148747264 - #43

s You'll find it under the Origami and Gethchat

2896369211293697 - #44

r could we develop that "family tree" egblogged a ? it led to etc. #mathchat

2896595443650560 - #45

hort #Mathchat but a little is better than

2896650024128512 - #46

tor @mathhombre I'm checking out all t. http://is.gd/hMcMBX#mathchat

2896673449312256 - #47

athforum @earlsamuelson Maybe we ns opposed to "oh, I get it", sense #mathc2896785059749888 - #48

_dc. Thanks for joining. #Mathchat2896906317070336 - #49


geometry is just like

r we can keep the

hat

vice elementary

r. Math exists, so it is

iscover" math by

ogebra tab in my

if someone blogged a

one. I'll check out the

e different schools of

ed to question what wehat


5/23


@ColinTGraham @deltaMon Jun 20 19:45:38 +0000 2011 - tweet id

@ColinTGraham @max

they do new things in each lessonMon Jun 20 19:46:44 +0000 2011 - tweet id

@bucharesttutor @mathindividual would like to redefine thMon Jun 20 19:47:02 +0000 2011 - tweet id

@stefras @ColinTGrahaopposed to an academic one? #mMon Jun 20 19:47:11 +0000 2011 - tweet id

@informed_edu How abback to the class 'popplet' or similMon Jun 20 19:47:39 +0000 2011 - tweet id

@mathfour Sorry - wrongdiscovered: http://science.howstufMon Jun 20 19:47:48 +0000 2011 - tweet id

@ColinTGraham To be hindividual "family tree" #mathchatMon Jun 20 19:47:50 +0000 2011 - tweet id

@informed_edu (2/2) stucombine two or more topics? #maMon Jun 20 19:48:27 +0000 2011 - tweet id

@suburbanlion Is theredisjointed"? Sure seems that wayMon Jun 20 19:48:37 +0000 2011 - tweet id

@mathfour @ColinTGraeverything. The project could be yMon Jun 20 19:48:40 +0000 2011 - tweet id

@stefras @ColinTGrahato even newer ones. #mathchatMon Jun 20 19:48:43 +0000 2011 - tweet id

@mathfour @ColinTGrathat particular year. #mathchatMon Jun 20 19:49:00 +0000 2011 - tweet id


dc Hi Dave, bye Dave! ;-) #Mathchat2896912138780672 - #50

athforum I still think a student-generate

, may be more helpful... #mathchat2897189298388992 - #51

four @mathhombre I always like to sayeir work in their own way #mathchat2897264212852736 - #52

What do you mean by an "oh I get it" sathchat2897301789605889 - #53

ut we still teach discrete topics but finisr to get (1/2) #mathchat

2897420727484416 - #54

link. Here're the schools of thought onfworks.com/math4.htm#mathchat2897457507352576 - #55

onest, I see a mind-map as being more f

2897465996623872 - #56

dents to come up with their own links, anthchat2897618438590464 - #57

ome truth to the assertion that "the mathsometimes. #mathchat2897661954490368 - #58

am I think it'd be cool to create a list ofear long. #mathchat2897674667438080 - #59

I always wanted to create a math unit i

2897686017216512 - #60

am And by "everything" I mean the stuff

2897758914232321 - #61


tree, which builds as

ath is invented as each

nse of proof, as

each one with referring

as #math invented or

ruitful rather than an

d create questions that

curriculum is

ig projects that hit on

which new ideas lead

you need to hit on in


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@ColinTGraham @stefrfrom a picture... makes sense of tMon Jun 20 19:50:21 +0000 2011 - tweet id

@ColinTGraham @inforsubject areas too, so the maths bMon Jun 20 19:51:20 +0000 2011 - tweet id

@stefras @ColinTGrahaproving is more important than prMon Jun 20 19:51:46 +0000 2011 - tweet id

@informed_edu @Colinthen it would help us tease out id

Mon Jun 20 19:52:07 +0000 2011 - tweet id

@stefras @ColinTGrahaanswer. #mathchatMon Jun 20 19:52:10 +0000 2011 - tweet id

@CutTheKnotMath Is cuMon Jun 20 19:52:16 +0000 2011 - tweet id

@bucharesttutor @mathwhether #math was invented or diMon Jun 20 19:52:29 +0000 2011 - tweet id

@ColinTGraham @mathitems to prove/show/explain/demMon Jun 20 19:52:31 +0000 2011 - tweet id

@mathfour NICE! RT @#mathchatMon Jun 20 19:53:23 +0000 2011 - tweet id

@earlsamuelson @Colinproblems to math; economics supMon Jun 20 19:53:27 +0000 2011 - tweet id

@informed_edu How abgradually to build links and ideas?Mon Jun 20 19:53:53 +0000 2011 - tweet id

@stefras @CutTheKnothave outcomes we meet implies dMon Jun 20 19:54:02 +0000 2011 - tweet id


s There are lots I've taught who could 'ge algebra #mathchat

2898097142898688 - #64

ed_edu I'd also like to see those links ccomes more 'relevant' #mathchat2898346863362049 - #65

Ah, that makes sense. Representationof. #mathchat2898454724100096 - #66

Graham If teachers got together to comas and guide our students #mathchat

2898544205381632 - #67

In this same way, solving is more impo

2898554980536320 - #68

riculum indeed disjoint or is it how stude2898579911491584 - #69

four @mathhombre check this out as wescovered #mathchat2898636626862080 - #70

our That kind of comes back to my 'crazby the end of year... #mathchat

2898644700897283 - #71

tefras I actually think proving is more im

2898862825676801 - #72

TGraham @informed_edu I agree....... eply/demand as well #mathchat2898877346357248 - #74

ut a collaborative google doc/presentati#mathchat2898985987227648 - #75

ath I think we also teach it as disjointed.isjointed topics. #mathchat2899026290282497 - #76


t' limits of infinite series

nnecting out into other

vs proof. I actually think

up with linking ideas

rtant than solution and

nts see it?#mathchat

ll http://is.gd/o1WnXi

' idea of a list of 100

ortant than proof.

asy to connect physics

n which we all work on

The very fact that we


7/23


@mathfour @informed_eMon Jun 20 19:54:16 +0000 2011 - tweet id

@ColinTGraham @stefr

keep everyone who likes the scieMon Jun 20 19:54:26 +0000 2011 - tweet id

@AshleyWalther @Colinthinking. #mathchat not sure I'm eMon Jun 20 19:54:27 +0000 2011 - tweet id

@bucharesttutor @earlsmath, chemical reactions to balanMon Jun 20 19:54:53 +0000 2011 - tweet id

@earlsamuelson RT @Mon Jun 20 19:55:25 +0000 2011 - tweet id

@bucharesttutor @math#mathchatMon Jun 20 19:55:30 +0000 2011 - tweet id

@ColinTGraham @infor

use the (fragmented) curriculum aMon Jun 20 19:55:49 +0000 2011 - tweet id

@stefras @earlsamuelsoand music. So yes connecting acrMon Jun 20 19:55:51 +0000 2011 - tweet id

@mathfour @bucharesttMon Jun 20 19:56:20 +0000 2011 - tweet id

@ColinTGraham @CutTmathematics in the UK are groupMon Jun 20 19:57:02 +0000 2011 - tweet id

@CutTheKnotMath @stto meet. Am I correct? #mathchatMon Jun 20 19:57:10 +0000 2011 - tweet id

@bucharesttutor Curren

Integration of the both to make thMon Jun 20 19:57:13 +0000 2011 - tweet id


du I'm in for that. #mathchat2899086122037248 - #77

s If we call it demonstrating or showing r

tific method happy! #mathchat2899127536594946 - #78

TGraham a problem involving more thanxplaining well2899131575705600 - #79

amuelson @ColinTGraham @informed_ing numbers etc #mathchat

2899237347663872 - #80

athfour: @informed_edu I'm in for that.2899374396547073 - #81

four @informed_edu lovely idea indeed,

2899396072718336 - #82

ed_edu That is the key. Many teachers

s a crutch not a guide. #mathchat2899475064037376 - #83

n Any science has math components, asoss subjects is plausible #mathchat2899481925910529 - #84

tor Nice use of ordinals there - "me third2899605150371840 - #85

eKnotMath The fact that the four separd differently does not help. #mathchat2899781202083840 - #86

fras So, the reason you say is that there

2899814286766080 - #87

#math teaching must include technolog

subject more interesting #mathchat2899828203462656 - #88


ather than proving, we

one skill or level of

edu also Statistics to

mathchat

me third the motion

who are less confident

does art, even poetry

" #mathchat

te curricula for

are outcomes you have

as a tool and show the


8/23


@stefras @ColinTGrahaproblem (process of solving), notMon Jun 20 19:57:36 +0000 2011 - tweet id

@informed_edu The matedit. http://j.mp/iXi7rv#mathchatMon Jun 20 19:57:41 +0000 2011 - tweet id

@ColinTGraham @inforpeople want to put some things inMon Jun 20 19:58:04 +0000 2011 - tweet id

@stefras Me too. RT @mMon Jun 20 19:58:36 +0000 2011 - tweet id

@DreamBelieveDo RTengage in math topics. #MathchatMon Jun 20 19:58:39 +0000 2011 - tweet id

@ColinTGraham @infornecessary for the teacher to do bMon Jun 20 19:59:41 +0000 2011 - tweet id

@ColinTGraham @inforgenerated map can help spark idMon Jun 20 20:00:39 +0000 2011 - tweet id

@informed_edu @Colinguide students to create their ownMon Jun 20 20:00:42 +0000 2011 - tweet id

@stefras @CutTheKnotdisjointed teaching. Themed connMon Jun 20 20:00:59 +0000 2011 - tweet id

@informed_edu I think tcreate their own (once we have aMon Jun 20 20:01:34 +0000 2011 - tweet id

@ColinTGraham @inforhave a clue about what goes wheMon Jun 20 20:01:39 +0000 2011 - tweet id

@stefras @bucharesttutothe purpose. Use where it helps oMon Jun 20 20:01:41 +0000 2011 - tweet id


What I meant was that math is where she final product. #mathchat2899924240441344 - #89

h(s) map is born (you've gotta start som

2899943936888833 - #90

ed_edu I suspect that would cause issudifferent groups/classes, etc... #mathch2900039206318081 - #91

athfour: @informed_edu I'm in for that.2900173273055232 - #92

stefras: I like @delta_dc's suggestion of

2900186971652096 - #93

ed_edu For me the issue is whether weforehand, or work with Ss to make #mat2900449165975552 - #94

ed_edu I'm quite happy to contribute, sias, if nothing else! #mathchat2900691139567616 - #95

Graham I think teacher's work together(once we have a clue!) #mathchat2900704175460352 - #97

ath I think the curriculum is purposefullyections fix this. #mathchat2900774966923265 - #98

achers work together first, then we canclue!) #mathchat2900923030056961 - #99

ed_edu That is the main point in all of te, then students won't #mathchat2900940419633152 - #100

r Why is technology important? Technolnly. #math#mathchat2900952117547008 - #101


tudents work through a

where). Feel free to

es when differentt

mathchat

using history lessons to

see this a beinghchat

nce a teacher-

irst, then we can help

disjointed so leading to

elp guide students to

is... if teachers don't

gy is only a tool, not


9/23


@maxmathforum @inforexplore might be a good way to gMon Jun 20 20:02:46 +0000 2011 - tweet id

@ColinTGraham @stefrthe curriculum were more easily aMon Jun 20 20:02:47 +0000 2011 - tweet id

@bucharesttutor @Colinmap creating step by step topics fMon Jun 20 20:03:15 +0000 2011 - tweet id

@stefras @ColinTGrahawilling to allow students to discov

Mon Jun 20 20:03:29 +0000 2011 - tweet id

@ColinTGraham @buchexperimental design, particularly fMon Jun 20 20:03:52 +0000 2011 - tweet id

@stefras RT @ColinTGrthen students won't #mathchatMon Jun 20 20:04:36 +0000 2011 - tweet id

@bucharesttutor @stefrTrigonometry can be better illustrMon Jun 20 20:04:53 +0000 2011 - tweet id

@Janshs just lurking throMon Jun 20 20:05:04 +0000 2011 - tweet id

@ColinTGraham So far,connected to what before introducMon Jun 20 20:05:49 +0000 2011 - tweet id

@bucharesttutor @Colinused LPP, Game Theory as alsoMon Jun 20 20:06:21 +0000 2011 - tweet id

@ColinTGraham @Ashlelements or references are includMon Jun 20 20:06:37 +0000 2011 - tweet id

@bucharesttutor @Colinby step topic listMon Jun 20 20:07:03 +0000 2011 - tweet id


med_edu @ColinTGraham I'll play. I wot going as well... #mathchat2901221169561600 - #102

s @CutTheKnotMath We also decided tssessed when separated... #mathchat2901225338703873 - #103

TGraham @informed_edu I am all in favor different #math levels #mathchat2901345283227648 - #104

I think teachers should have a plannedr it when in to it. #mathchat

2901402195726336 - #105

resttutor Many people also forget the imor research... #mathchat2901500690575360 - #107

ham: ... if teachers don't have a clue ab

2901684254281728 - #108

s precisely use where it is needed. Cooted using a T1 Inspire GDC #mathchat2901757956587520 - #109

#mathchat this week - here in body2901802286198784 - #110

he main point is that the teacher must bing a new topic... agreed? #mathchat2901992531427328 - #111

TGraham sure enough, me as a graduatsing the central tendencies etc #mathch2902126157770752 - #112

yWalther I get you! We certainly need tod when 'doing algebra' #mathchat

2902190607433728 - #113

TGraham yes perfectly summed up Coli

2902299390914561 - #114


der if some problems to

at a lot of the items on

or of creating a Math

presentation, but be

portance of statistics in

ut what goes where,

dinate geometry,

clear about what is

e in Statistics alwaysat

make sure more visual

#mathchat a nice step


10/23


@ColinTGraham @Ashlscience, but you can take a 'mathMon Jun 20 20:07:20 +0000 2011 - tweet id

@informed_edu RT @Dr#Wordle is a nice quick way of shMon Jun 20 20:07:31 +0000 2011 - tweet id

@DreamBelieveDo @Cofocus straight away. I think pupilsMon Jun 20 20:07:49 +0000 2011 - tweet id

@mathhombre#mathchconcept. (More typical) 2 - in a co

Mon Jun 20 20:07:50 +0000 2011 - tweet id

@stefras @ColinTGrahastatistically relevant. Taught this iMon Jun 20 20:08:21 +0000 2011 - tweet id

@ColinTGraham @mrsdon #mathchat ;-)Mon Jun 20 20:08:24 +0000 2011 - tweet id

@mathhombre#mathchOne purpose of tech is to enableMon Jun 20 20:09:15 +0000 2011 - tweet id

@stefras @Janshs Somerather than the rapid details. SOMon Jun 20 20:09:40 +0000 2011 - tweet id


connected to what before introducMon Jun 20 20:10:18 +0000 2011 - tweet id

@mathhombre#mathchGood for many reasons, but theyMon Jun 20 20:10:26 +0000 2011 - tweet id

@DreamBelieveDo#mat#mathsNC into #Wordle. Shows tMon Jun 20 20:11:18 +0000 2011 - tweet id

@ColinTGraham One thiask "is this on the exam?" ... vest


yWalther I do an activity with paper dartmatics' view. #mathchat

2902371298066432 - #115

eamBelieveDo: @informed_edu Puttingwing how maths areas are linked. #mat2902419046014976 - #116

linTGraham Yes! A topic which seemingllike to know how topics link. #mathchat2902494207946753 - #117

t I see 2 natural kinds of connections. 1text, seeing all the math there

2902496208625665 - #118

Experimental design itself is a form ofUniversity for years. #mathchat

2902629415534592 - #119

nyer There is no #ukmathschat... as far

2902639527985153 - #120

t good ex.s of 2 are #anyqs or #wcydwts to handle these unwieldy numbers2902856595808256 - #122

times lurking is better than participateinghat is big pic? #mathchat2902959456927744 - #123

Agreed! #mathchat re teacher must be

ing a new topic2903119192784896 - #124

t local HS teachers here started havingnd stu.s started seeing more connex.

2903152097099776 - #125

hchat @informed_edu Here's what happe keywords appearing!...http://t.co/MYs2903371945754624 - #126

g is that examinations & their criteria etd interests again #mathchat


... more like doing

the #maths#NC intochat

y stands alone can lose

math concept to math

ath, not just

as I know... We do it all

r real life problems.

. Big picture shows up

clear about what is

umulative unit tests.

ns when you put theijY

can 'force' students to


11/23


Mon Jun 20 20:11:26 +0000 2011 - tweet id

@stefras @informed_edMon Jun 20 20:11:41 +0000 2011 - tweet id

@informed_edu RT @Drhappens when you put the #mathMon Jun 20 20:11:42 +0000 2011 - tweet id

@ColinTGraham Not just@informed_edu then throw in gcsMon Jun 20 20:12:14 +0000 2011 - tweet id

@informed_edu @stefra#mathchatMon Jun 20 20:12:17 +0000 2011 - tweet id

@DiosQTeAmenATi RT1 - math concept to math concept.Mon Jun 20 20:12:36 +0000 2011 - tweet id

@stefras @mathhombredeepening the learning. #mathchMon Jun 20 20:13:08 +0000 2011 - tweet id

@CutTheKnotMath Wasalso decided that many items on tMon Jun 20 20:13:19 +0000 2011 - tweet id

@ColinTGraham NC moNorthern Ireland have different buMon Jun 20 20:13:51 +0000 2011 - tweet id

@mathhombre#mathch

learning vs a linear progression mMon Jun 20 20:14:08 +0000 2011 - tweet id

@stefras @mathhombrejust reviewed concepts boring. StMon Jun 20 20:15:18 +0000 2011 - tweet id

@ColinTGraham @CutToveremphasis on certain parts toMon Jun 20 20:15:35 +0000 2011 - tweet id

@mathfour What'd I missMon Jun 20 20:16:43 +0000 2011 - tweet id


2903402400591873 - #127

What is #NC? #maths#NC#Wordle#2903465218682881 - #128

eamBelieveDo: #mathchat @informed_eNC into #Wordle. Shows the keywords2903470759358464 - #129

GCSE either! RT @mrsdenyer: @Coline exam criteria to screw up a good idea2903605887250433 - #130

Sorry NC = National Curriculum, our b

2903619065745408 - #131

mathhombre: #mathchat I see 2 natur(More typical) 2 - in a context, seein ...

2903695917973504 - #132

These different kinds of connections intet2903831675027456 - #133

a mistake you are trying to fix? @ColinThe curriculum ... separated... #mathchat2903876923166720 - #134

tly is the National Curriculum for Englant sometimes similar curric #mathchat2904013007372289 - #135

t also reminiscent of a fosnot and dolk s

odel. Ex. landscape http://t.co/TpcVVxW2904081621975040 - #136

I like tests which delve into new topics. Ident and teacher #mathchat2904375688826880 - #137

eKnotMath @stefras The categorizationhe expense of others (for me) #mathcha2904449273704448 - #138

? #mathchat2904733190332416 - #139


athchat

du Here's whatppearing!... ...

Grahammathchat

loved(!) document.

l kinds of connections.

connect as well,

raham @stefras We

. Scotland, Wales &

yle landscape of

always felt exams which

can sometimes lead tot


12/23


13/23


@mathfour @ColinTGrawork people come see me and thMon Jun 20 20:20:54 +0000 2011 - tweet id

@informed_edu @ColinMon Jun 20 20:20:57 +0000 2011 - tweet id

@Sundayteatime I think tGCSE #mathchatMon Jun 20 20:20:59 +0000 2011 - tweet id

@Janshs @stefras wel I llinked themes, exploration oh yesMon Jun 20 20:21:09 +0000 2011 - tweet id

@ColinTGraham @mathunderstood, whereas students mMon Jun 20 20:21:10 +0000 2011 - tweet id

@mathfour @ColinTGraconnected to what before introducMon Jun 20 20:21:44 +0000 2011 - tweet id

@stefras @ColinTGrahaconcepts, but often the best are diMon Jun 20 20:21:59 +0000 2011 - tweet id

@ColinTGraham @CutTare definitely downplayed in relatiMon Jun 20 20:22:03 +0000 2011 - tweet id

@informed_edu @mathfbut later in the topic I'd love to helMon Jun 20 20:22:30 +0000 2011 - tweet id

@ColinTGraham @stefrMon Jun 20 20:22:30 +0000 2011 - tweet id

@bucharesttutor @mathtalk n comment whenever we canMon Jun 20 20:23:02 +0000 2011 - tweet id

@ColinTGraham GCSE iUK... for non-Brits in #mathchatMon Jun 20 20:23:49 +0000 2011 - tweet id


am That's what's a bummer for chattingn I'm lost. :( #mathchat2905788590460928 - #153

heMathmo Sounds fantastic Colin - can2905798925221888 - #154

he new functional questions are encour

2905809129971713 - #155

ive in #mathchat utopia so the curric theand passion!2905849776979970 - #156

ombre We may think we are reviewingy not actually 'get' them at all #mathchat2905854046773249 - #157

am I don't think the teacher must be cleing a new topic. #mathchat2905995243819008 - #158

SOmetimes teachers have to introducscovered through activity. #mathchat2906058330349568 - #159

eKnotMath @stefras I see it as an 'evil'n to algebra... #mathchat

2906074490998784 - #160

ur @ColinTGraham True, I've never bep 'em see the big picture #mathchat2906189033254913 - #161

s See my earlier tweet about Vygotsky!2906187871424512 - #162

four @ColinTGraham we are all in the s

2906325339742208 - #163

s the 16yo exam regarded as a 'basic' q

2906519426961408 - #164


during the workday -

we help? #mathchat

ging connections at

e wd be based on

oncepts which are

r about what is

or maybe name

because geometry skills

n hugely clear myself,

mathchat

me boat #mathchat we

alification for 16yo in


14/23


@Janshs had 3 gr8 Mathare the reason I love Maths cos I'Mon Jun 20 20:23:51 +0000 2011 - tweet id

@mathhombre#mathchbecause they struggle with symboMon Jun 20 20:24:00 +0000 2011 - tweet id

@ColinTGraham @mathabout working with Ss to find conMon Jun 20 20:24:49 +0000 2011 - tweet id

@stefras @Janshs linkedto go. #mathchat

Mon Jun 20 20:24:56 +0000 2011 - tweet id

@mathfour @informed_e#mathchatMon Jun 20 20:25:07 +0000 2011 - tweet id

@CutTheKnotMath Sho@mathfour @ColinTGraham I doMon Jun 20 20:25:39 +0000 2011 - tweet id

@mathfour @ColinTGrasay that I'm confident in my mistaMon Jun 20 20:25:58 +0000 2011 - tweet id

@stefras @ColinTGrahaor discover new connections or reMon Jun 20 20:26:06 +0000 2011 - tweet id

@ColinTGraham @infor

physics PoV as a well as maths...Mon Jun 20 20:26:18 +0000 2011 - tweet id

@stefras @mathfour No,coverage, but when encounter! #Mon Jun 20 20:27:04 +0000 2011 - tweet id

@ColinTGraham @CutTconfident about... explore maybe,Mon Jun 20 20:27:39 +0000 2011 - tweet id

@ColinTGraham @stefrbuilding up a family tree or mind-


s tchrs when was @ schl Mr Blow, Missnot that good @ it #mathchat

2906527178039296 - #165

t w/o connections, many visual processlic.2906565178433536 - #166

our If the teacher is not clear, s/he has tections... ok with me #mathchat2906772918124545 - #168

themes, exploration oh yes and passion

2906802697670657 - #169

du So how do we "subscribe" to that goo

2906846943395840 - #170

ld it always be the same, regardless of t't think the teacher must be clear ... #m2906980326457344 - #171

am Yeah - confidence and excitement aes - gotta watch me. #mathchat2907060609622017 - #172

We do need to be specific when we encurrences. "Oh look..." #mathchat2907095866941440 - #173

ed_edu In your situation too, you may b

so could differ from Ss @mathfour #mat2907146701905920 - #174

not before topic, since that would changathchat

2907338381594624 - #175

eKnotMath @mathfour I would never teteach no. #mathchat2907483777150976 - #176

s That comes back to the suggestion Iap as each new topic arises. #mathchat


inty, Mr Weston; they

rs think they stink

be very confident

are definitely the way

gle document?

pic? Abilities?thchat

e the keys. I always

counter new concepts

e looking from a

hchat

discovery into

ch a topic I didn't feel

ade earlier about


15/23


Mon Jun 20 20:28:31 +0000 2011 - tweet id

@ColinTheMathmo @CMon Jun 20 20:28:44 +0000 2011 - tweet id

@mathfour @ColinTGrait once as a grad student. Poor stMon Jun 20 20:30:42 +0000 2011 - tweet id

@stefras @CutTheKnotstudent. Plan should be this is whMon Jun 20 20:30:42 +0000 2011 - tweet id

@mathhombre#mathcha novice. (Strong at GGB3) Will bMon Jun 20 20:30:43 +0000 2011 - tweet id

@mathfour @ColinTGraof freaky real analysis class. ReallMon Jun 20 20:31:09 +0000 2011 - tweet id

@ColinTGraham To explreferences. I prefer his approach tMon Jun 20 20:31:13 +0000 2011 - tweet id

@mathhombre#mathchcan show the strengths of matheMon Jun 20 20:31:21 +0000 2011 - tweet id

@stefras @mathfour Congood for kids to learn. #mathchatMon Jun 20 20:31:38 +0000 2011 - tweet id

@BlowtheMind Glad you

about invented vs. discovered onMon Jun 20 20:32:00 +0000 2011 - tweet id

@nick_chater RT @inforsomewhere). Feel free to edit. httMon Jun 20 20:32:04 +0000 2011 - tweet id

@informed_edu @Colinteaching every topic, and rightly sMon Jun 20 20:32:24 +0000 2011 - tweet id

@mathhombre @ColinTas they explore a process or genr


2907704309460993 - #177

linTGraham Cool. #mathchat2907758126567424 - #178

am @CutTheKnotMath I agree with youdents! #mathchat2908250890178561 - #179

ath I think teaching should be responsivt I hope to do.. #mathchat

2908251603210240 - #180

t Leading a GeoGebra workshop tomorra learning exp for me, too.

2908259018739714 - #181

am @CutTheKnotMath I'm an algebraisy not my bag. #mathchat2908365688274945 - #182

re ZPDs farther, http://bit.ly/3uzKqi is ao Piaget's! #mathchat2908382100586496 - #183

t I like when class goes where I am inexatical practice.2908415181074432 - #184

fident in your mistakes. ;-) Showig how

2908488564621313 - #185

dug it! RT @mathfour: @mathhombre

@blowthemind that was so cool! #mathc2908578926706688 - #186

ed_edu: The math(s) map is born (you'://j.mp/iXi7rv#mathchat2908595326431236 - #187

Graham @CutTheKnotMath @mathfour- we need to grow. #mathchat

2908680902803456 - #188

raham #mathchat Literacy teachers oft.


- but I was forced to do

: to topic, situation and

w using GGB4. I'm still

and this was some sort

ood starting point for

erienced, because I

e deal with mistakes is

H! I heard a podcast

hat

ve gotta start

There's a first time

n build a schema board


16/23


Mon Jun 20 20:32:28 +0000 2011 - tweet id

@ColinTGraham @mathget away with more at HS or undeMon Jun 20 20:32:55 +0000 2011 - tweet id

@mathhombre#mathchtheir connections to a topic. AlwaMon Jun 20 20:33:06 +0000 2011 - tweet id

@stefras @mathhombreMon Jun 20 20:33:47 +0000 2011 - tweet id

@ColinTGraham Let's chthe age group(s) you work with?Mon Jun 20 20:34:22 +0000 2011 - tweet id

@mathhombre @ColinTas well as content goals. Sadly ouMon Jun 20 20:34:55 +0000 2011 - tweet id

@ColinTGraham @mathwork in EFL and saw immediate aMon Jun 20 20:35:27 +0000 2011 - tweet id

@mathfour @informed_eeverytime I reteach something, I lMon Jun 20 20:35:30 +0000 2011 - tweet id

@delta_dc#mathchat Bicomputation.Mon Jun 20 20:35:45 +0000 2011 - tweet id

@stefras @mathhombre

#mathchatMon Jun 20 20:36:26 +0000 2011 - tweet id

@ColinTGraham @deltadisconnect between integers andMon Jun 20 20:37:06 +0000 2011 - tweet id

@mathhombre @ColinTuntraveled waters to get someplaMon Jun 20 20:37:24 +0000 2011 - tweet id

@earlsamuelson @deltaMon Jun 20 20:37:45 +0000 2011 - tweet id


2908697403207680 - #189

ombre This kind of 'vagueness' is probargrad level... primary? Hmm... #mathcha2908811580547072 - #190

t Sometimes schema boards have envels wanted to try in math.2908858636447745 - #191

ie GGB4. So exploration vs teaching? !!!2909027725619201 - #192

ange tack a little. Where do you see theow to reconnect? #mathchat2909173632864256 - #193

raham #mathchat Valuable anywhere yr elem teachers' experience was so neg.2909311919067136 - #194

ombre Agree re: literacy. I first discoverpplication to maths too. #mathchat2909448238137344 - #195

du @ColinTGraham @CutTheKnotMatharn more. #mathchat2909460946890752 - #196

gest disconnect is between whole numb

2909522120814592 - #197

Schema boards sound interesting. Do yo

2909694175350784 - #198

dc In terms of skill or ability to manipularactions? #mathchat2909864883531776 - #199

raham #mathchat So negative, that thee good. If they stick w what they know...2909940351643648 - #200

dc .........in terms of conceptual, proced2910028276842496 - #201


bly something you cant

opes for stu.s to add

#mathchat

biggest disjunction in

u have process goals..

d ZPDs during my

I can see that - but

er and fraction

u have an exemple?

e or a conceptual

have to go in:-(

ral or both? #mathchat


17/23


@stefras @ColinTGrahaso many places ... GCF, LCM, fraMon Jun 20 20:39:03 +0000 2011 - tweet id

@delta_dc @ColinTGrahare good at memorizing succeed iMon Jun 20 20:39:21 +0000 2011 - tweet id

@ColinTGraham @mathso I'll keep digging till I can't get oMon Jun 20 20:39:32 +0000 2011 - tweet id

@sonnylumley @ColinTMon Jun 20 20:39:37 +0000 2011 - tweet id

@ColinTGraham @stefrunderstanding of the concept behiMon Jun 20 20:40:56 +0000 2011 - tweet id

@delta_dc @EarlSamuelMon Jun 20 20:41:13 +0000 2011 - tweet id

@ColinTGraham @sonn

#mathchatMon Jun 20 20:42:00 +0000 2011 - tweet id

@mathhombre @ColinTfrom functions in a fraction thing iMon Jun 20 20:42:35 +0000 2011 - tweet id


@ColinTGraham One coequations or 'visualize' 2D nets inMon Jun 20 20:43:25 +0000 2011 - tweet id

@ColinTGraham @mathconnections/understanding/etc. aMon Jun 20 20:44:27 +0000 2011 - tweet id

@stefras @mathhombre

there to help them discover faultsMon Jun 20 20:44:32 +0000 2011 - tweet id


Factoring seems to confuse students ations, polynomials. #mathchat

2910354765656064 - #202

am Both. Students see fractions as somn skills. Few in concept. #mathchat2910428748980224 - #203

ombre That's the kind of "I know how tot... scary to see. #mathchat

2910474454306816 - #204

raham teach to the big picture. Show th2910498760298496 - #205

s Again, factorization is application of and the procedure is prob missing #math2910829837684736 - #206

son Both. #mathchat2910899400216576 - #207

lumley You'd say "show" rather than hel

2911095056109568 - #210

raham @stefras #mathchat colleague scalc 2 last week.

2911244239122432 - #212

t students will make connections - are th2911350598283265 - #214

mon disconnect I see is the inability to3D etc. #mathchat2911453794930688 - #215

ombre We should always be questionind getting them to explain... #mathchat2911712835158016 - #216

h. So making connections vs misconce

in misconc. Monsters. #mathchat2911734561644545 - #217


lot. And it is needed in

thing new. Those who

dig a hole" approach,

e links. #mathchat

rocedure andhat

p students "find" links?

aw the cancelling letters

ey the ones we want?

ketch graphs from

students about

tions. We need to be


18/23


@mathhombre#mathchbetween math and what they alreMon Jun 20 20:44:44 +0000 2011 - tweet id

@sonnylumley @ColinTlinks without a gentle push througMon Jun 20 20:44:46 +0000 2011 - tweet id

@mathhombre#mathchown domain.Mon Jun 20 20:45:11 +0000 2011 - tweet id

@stefras @ColinTGrahaconnections/understanding/etc. a

Mon Jun 20 20:45:13 +0000 2011 - tweet id

@ColinTGraham @maththinking or seeing or connecting,Mon Jun 20 20:45:23 +0000 2011 - tweet id

@delta_dc#mathchat Trbetween real-life problems and nuMon Jun 20 20:45:57 +0000 2011 - tweet id

@mathhombre @ColinTthey need support...Mon Jun 20 20:46:21 +0000 2011 - tweet id

@d_martin05 @sonnyluprevious knowledge and discoverMon Jun 20 20:46:39 +0000 2011 - tweet id

@mathhombre @delta_dMon Jun 20 20:46:55 +0000 2011 - tweet id

@delta_dc#mathchat DiThat it is not unified.Mon Jun 20 20:46:55 +0000 2011 - tweet id

@stefras @ColinTGrahamisconceptions fail as they explaiMon Jun 20 20:47:15 +0000 2011 - tweet id

@ColinTGraham @sonnapproach. Students may "google tMon Jun 20 20:47:18 +0000 2011 - tweet id


t biggest disconnect for non math peopldy do well.2911785736355840 - #218

raham self discovery is vital but somea little show... #mathchat2911791700639744 - #219

t almost everyone is a problem solver a

2911899259371520 - #220

Agreed! questioning students aboutd getting them to explain... #mathchat

2911907446661121 - #221

ombre If we don't get students to comme are not helping them learn. #mathcha

2911949771390976 - #222

nslating between representations is hugmber sentences.2912089785634816 - #223

raham #mathchat agree. Also can't giv

2912192713863168 - #224

ley @colintgraham or instead of show,#mathchat

2912268475568128 - #225

c #mathchat so the disconnect between2912335324385280 - #226

connects suggest to learners that math

2912335517335553 - #227

Particularly if they do not see where ththeir thinking. #mathchat

2912415766937601 - #228

lumley Agree. Too many teachers takehe answer" w/out concept knwldg #math2912431898243072 - #229


(self-diagnosed) is

ay never discover any

d communicator in their

unicate what they are

e disconnect. Even

feedback, know where

ne could just build on

math and sense?

oes not make sense.

ir connections work or

he "here's the method"chat


19/23


@sonnylumley @d_martup a class years too late #mathchMon Jun 20 20:47:25 +0000 2011 - tweet id

@LesLinks A second, vetasker/tweeter and Mathperson #Mon Jun 20 20:47:38 +0000 2011 - tweet id

@stefras @mathhombre#mathchatMon Jun 20 20:48:15 +0000 2011 - tweet id

@ColinTGraham @LesLiyou like! #mathchat#edchatie Ma

Mon Jun 20 20:48:33 +0000 2011 - tweet id

@d_martin05 @sonnyluteachers more general outcomesMon Jun 20 20:48:45 +0000 2011 - tweet id

@earlsamuelson @d_mexisting knowledge base and makMon Jun 20 20:49:46 +0000 2011 - tweet id

@ColinTGraham @d_mis a guide... other 'forces' tend toMon Jun 20 20:49:56 +0000 2011 - tweet id

@mathhombre @stefrasthis." Why? "Because that's howMon Jun 20 20:50:24 +0000 2011 - tweet id


#asechat#mathchat#edchatieMon Jun 20 20:50:34 +0000 2011 - tweet id

@sonnylumley @ColinTto an exam cos they are the be allMon Jun 20 20:51:16 +0000 2011 - tweet id

@LesLinks RT @ColinTchats#mathchat#edchatie MaybeMon Jun 20 20:51:24 +0000 2011 - tweet id

@ColinTGraham @stefron underlying assumptions (Eucli


in05 @colintgraham but the problem weat2912459467407360 - #230

y interesting chat happens at this time tathchat=brilliant! #edchatie2912515213897728 - #231

re you asking if math is diconnected fro

2912669006442496 - #232

nks Actually, #asechat starts at 8:00pmybe we should do a megachat sometime

2912745451827201 - #233

ley @colintgraham true and I think theinstead of detailed scripts #mathchat2912795263377408 - #234

rtin05 I agree Dave with having studente discoveries from there #mathchat2913053045297152 - #235

rtin05 @sonnylumley The government hush inappropriate focus. #mathchat2913094279507968 - #236

#mathchat I think for the majority of mate do this."2913208595251201 - #237

A megachat sounds interesting. What

2913251318439936 - #238

raham @d_martin05 and everyone getand end all #mathchat2913427089145857 - #239

raham: , #asechat starts at 8:00pm so ywe should do a megachat sometime.Ha2913463046901760 - #240

s Or that some of the things they are staetc.) not always 'true' #mathchat


always face is picking

..in case you r a multi

m sense/intuition?

o you can do 3 chats if.

ey here is gving

build upon their pre-

ere says the curriculum

students it is. "Do

opic would we discuss?

pushed into teaching

ou can do 3! #edchatie

ting as 'fact' are based


20/23


Mon Jun 20 20:51:43 +0000 2011 - tweet id

@stefras @d_martin05teachers. Inexperienced ones neeMon Jun 20 20:51:49 +0000 2011 - tweet id

@ColinTGraham @sonntoo late" is seeing what you can wMon Jun 20 20:52:42 +0000 2011 - tweet id

@d_martin05 @sonnyluweek is where the littlest amountMon Jun 20 20:52:49 +0000 2011 - tweet id

@d_martin05 @sonnylu

week is where the littlest amountMon Jun 20 20:52:49 +0000 2011 - tweet id

@stefras @ColinTGrahamandated do all as told guide. MaMon Jun 20 20:53:13 +0000 2011 - tweet id

@stefras @mathhombre#mathchatMon Jun 20 20:54:12 +0000 2011 - tweet id

@LesLinks RT @ColinT#mathchat#edchatie Maybe we sMon Jun 20 20:55:30 +0000 2011 - tweet id

@eduz8 Not sure about tamount of learning occurs #mathcMon Jun 20 20:55:37 +0000 2011 - tweet id

@sonnylumley @ColinTbuild from the foundations of placMon Jun 20 20:55:45 +0000 2011 - tweet id

@stefras @ColinTGrahacan potentially check or test. Vs oMon Jun 20 20:55:46 +0000 2011 - tweet id

@ColinTGraham @stefrcan answer the "Why?" with somMon Jun 20 20:55:56 +0000 2011 - tweet id


2913542575099904 - #241

ore general outcomes would work for exd more detail. #mathchat2913565522149376 - #242

lumley @d_martin05 The challenge witork with given the time... #mathchat2913790567526400 - #243

ley @colintgraham oh how I despise thf learning occurs #mathchat2913819793432576 - #244

ley @colintgraham oh how I despise th

f learning occurs #mathchat2913819793432576 - #245

Our govenment also considers outcomndated to do! #mathchat2913921052319744 - #246

I think "do this" is also true for the majori

2914164863016960 - #247

raham: @LesLinks Actually, #asechat dhould do a megachat sometime. #edcha2914493872603137 - #248

at MT"@d_martin05 Let's face it examhat"2914521471131648 - #249

raham @d_martin05 absolutely. I will qvalue to help #mathchat

2914555851833345 - #250

I always differentiated fact from truth.pinion. #mathchat2914559966445568 - #251

s @mathhombre I sometimes say "do itreference to how it works. #mathchat

2914600999337985 - #252


perienced math

a class which is "years

t idea Let's face it exam

t idea Let's face it exam

es as a guide ... a

y of teachers as well.

o 3 chats if you like!ie

eek is where the littlest

ite happily go back and

fact is something you

his way" but only if I


21/23


@sonnylumley @d_martexam week #mathchatMon Jun 20 20:56:23 +0000 2011 - tweet id

@stefras @d_martin05 Talready discovered/familiar math.Mon Jun 20 20:57:12 +0000 2011 - tweet id

@ColinTGraham @stefrthis way".... for strugglers. #mathcMon Jun 20 20:57:19 +0000 2011 - tweet id

@LesLinks RT @stefras:we discuss? #asechat#mathchat

Mon Jun 20 20:57:21 +0000 2011 - tweet id

@ColinTGraham OK, lasways to help students stop seeingMon Jun 20 20:58:34 +0000 2011 - tweet id

@stefras @ColinTGrahaWhat are you teaching with "do itMon Jun 20 20:59:23 +0000 2011 - tweet id

@d_martin05 If studentsis not worth learning #mathchat#Mon Jun 20 20:59:30 +0000 2011 - tweet id

@earlsamuelson ThanksMon Jun 20 20:59:54 +0000 2011 - tweet id

@delta_dc @ColinTGrahwhat I'd do..." and then model myMon Jun 20 21:00:28 +0000 2011 - tweet id

@sonnylumley @ColinTdepts to teach maths for investigaMon Jun 20 21:00:36 +0000 2011 - tweet id

@ColinTGraham @stefrpreferred approach at all, but praMon Jun 20 21:00:37 +0000 2011 - tweet id

@stefras @ColinTGrahaconnections, patterns and procesMon Jun 20 21:01:11 +0000 2011 - tweet id


in05 @colintgraham I wasn't aware any l

2914717936533504 - #253

his is why I like exams which work on neBuild upon vs drill #mathchat2914923327397888 - #254

s @mathhombre actually I say "try it thishat2914952796577792 - #255

@ColinTGraham Amegachat soundsint@fboss @johnmayo @john_muuua #ed

2914959083839488 - #256

few minutes everyone! Any final thoughthe curriculum as disjointed? #mathchat2915266429853696 - #257

I prefer "why?" and "how does it work?his way?" #mathchat2915470558240768 - #260

are only learning something for an exam,bed#edchat#edreform2915501835169792 - #261

again Colin!.......and everyone else #ma2915602364239872 - #263

am @stefras @mathhombre In these cathinking. #mathchat2915742999252992 - #264

raham I came late but cross subject stutions/projects #mathchat2915778210435072 - #265

s The "try it this way" is for strugglers atmatic really! #mathchat2915781968535552 - #266

I think we need to design units which ses which recur. #mathchat2915924822331393 - #267


earning took place in

concepts that connect

way" rather than "do it

resting. What topic wldhatie

ts or comments on

" over "do it this way?"

, then let's be honest, it

thchat

es, I begin with, "Here's

ff. Work with other

exam time... not my

pecifically discover


22/23


@mathhombre RT @deltI begin with, "Here's what I'd do...Mon Jun 20 21:01:19 +0000 2011 - tweet id

@stefras RT @delta_dc:begin with, "Here's what I'd do..."Mon Jun 20 21:01:36 +0000 2011 - tweet id

@delta_dc Are they realllearning something for an exam, iMon Jun 20 21:02:18 +0000 2011 - tweet id

@mathhombre @delta_dseen him do this - it's great.

Mon Jun 20 21:02:19 +0000 2011 - tweet id

@ColinTGraham OK, thacompelling problems that grab stuMon Jun 20 21:03:09 +0000 2011 - tweet id

@ColinTGraham Get youMon Jun 20 21:03:29 +0000 2011 - tweet id

@stefras @stefras I alsovalue or texture, so students feel/Mon Jun 20 21:03:35 +0000 2011 - tweet id

@sonnylumley @ColinTMon Jun 20 21:03:50 +0000 2011 - tweet id

@delta_dc @mathhombr#mathchatMon Jun 20 21:04:16 +0000 2011 - tweet id

@ColinTGraham Thanksbe online in a couple of hours or sMon Jun 20 21:04:17 +0000 2011 - tweet id

@stefras @ColinTGrahaMon Jun 20 21:04:41 +0000 2011 - tweet id

@ColinTGraham I will ke

forget to help with @informed_edMon Jun 20 21:05:22 +0000 2011 - tweet id


a_dc: @ColinTGraham @stefras @matand then model my thinking. #mathchat

2915957185576960 - #268

@ColinTGraham @stefras @mathhombnd then model my thinking. #mathchat2916028123848704 - #269

even learning? >> MT @d_martin05: Ifis not worth learning #mathchat

2916205115088896 - #270

c #mathchat then "what did you see me

2916211167477761 - #272

t's it for another week! Next topic will bedent attention?" #mathchat2916418730983425 - #273

r thinking caps on now! #mathchat2916501224554496 - #274

think the math should flow like a maze,xperience con #mathchat2916529628393472 - #275

raham nice work. Till next time! #mathc2916593180483584 - #276

Blushing - I learned from the best than

2916701955567616 - #277

for your contributions everyone, see youo... #mathchat2916706426687488 - #278

Thanks Colin. Great #mathchat. See y2916804216889344 - #279

p you all updated with @ColinTheMath

's document. Link to follow #mathchat2916977865261057 - #280


hombre In these cases,

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@delta_dc @ColinTGrahhome.Mon Jun 20 21:05:23 +0000 2011 - tweet id

@ColinTGraham The mahttp://bit.ly/iXi7rv#mathchatMon Jun 20 21:06:56 +0000 2011 - tweet id

@ColinTGraham Since c"open mic" suggestions for "HolidMon Jun 20 21:09:24 +0000 2011 - tweet id

@stefras @mathfour Thaproof.#mathchat Check out http://

Mon Jun 20 21:22:28 +0000 2011 - tweet id

@MathFlashGuy#mathcand Flash CS5 through Skype forMon Jun 20 21:22:40 +0000 2011 - tweet id

@DerekDeGear RT @d_then let's be honest, it is not wortMon Jun 20 21:25:06 +0000 2011 - tweet id

@ColinTGraham WhichFascinating map: http://bit.ly/lKspjMon Jun 20 21:27:56 +0000 2011 - tweet id

@LesLinks @ColinTGramore cross chat culture ashelpsMon Jun 20 21:28:02 +0000 2011 - tweet id

@ColinTGraham @LesLi

reason why we can't organize a 'sMon Jun 20 21:29:13 +0000 2011 - tweet id

@LesLinks Your topic totranscript.. I am great advocate ofMon Jun 20 21:29:48 +0000 2011 - tweet id

am Thanks, Colin. Glad I could bookend

2916980537040896 - #281

ths map collaborative document set up b

2917369474859008 - #282

hats are scheduled for 1st July & 4th July-based mathematics" #mathchat2917990873579520 - #283

nk you for the RT re proving is more impit.ly/iSOEiP.

2921279245660160 - #288

hat I need to practice my english, so I cafree: www.mathflashguy.com2921329833164800 - #289

artin05: If students are only learning solearning #mathchat#abed#edc ...

2921941262024704 - #290

ranches of science refer to other branchx#scichat#asechat#mathchat2922654826364928 - #291

am so nice you dipped into #edchatie.w/learning/sharing perspec #mathchat2922683242786816 - #292

nks I think if chats are happening simult

pecial' now & again #edchatie#mathcha2922977041203200 - #293

ite was hugely interesting to me as wellmeaningful, cross curr #mathchat2923127130169345 - #294

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2011.06.20 how do i avoid students seeing the mathematics curriculum as being a set of disjointed...

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