2011.11.04 what does authentic' mean in a mathematics class?

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  • 8/3/2019 2011.11.04 What Does Authentic' Mean in a Mathematics Class?

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    Friday, 4th November 2011

    @stefras @davidwees #mathematics class? (Unless ... ?)Fri Nov 04 00:01:26 +0000 2011 - tweet id 1

    @mathfour Is it now? #mFri Nov 04 00:04:29 +0000 2011 - tweet id 1

    @stefras @mathfour ? !Fri Nov 04 00:05:00 +0000 2011 - tweet id 1

    @ColinTGraham Hello econnection problems so I'm a bit lFri Nov 04 00:05:16 +0000 2011 - tweet id 1

    @Peter_Price G'day fromFri Nov 04 00:05:28 +0000 2011 - tweet id 1

    @stefras @mathfour @dFri Nov 04 00:05:39 +0000 2011 - tweet id 1

    @stefras @ColinTGrahaColin, David, Bon and Peter. #maFri Nov 04 00:06:11 +0000 2011 - tweet id 1

    @dweksler I'm just glad tcandlelight! #mathchatFri Nov 04 00:06:11 +0000 2011 - tweet id 1

    @ColinTGraham DaylighFri Nov 04 00:06:15 +0000 2011 - tweet id 1

    @stefras @dweksler PoFri Nov 04 00:06:28 +0000 2011 - tweet id 1

    @teachdig @ColinTGrahsame time! #mathchatFri Nov 04 00:06:49 +0000 2011 - tweet id 1

    @Peter_Price So, "Whattopic!Fri Nov 04 00:06:52 +0000 2011 - tweet id 1

    @stefras Here, here UK!together to all change at the samFri Nov 04 00:07:10 +0000 2011 - tweet id 1

    What does 'authentic' m

    athchat NOW! Topic: What does 'authe

    2246036075905024 - #1

    athchat2246803088277505 - #3

    olin said it was, but ... @ColinTGraham2246931849228290 - #4

    eryone, yes it's the new #mathchat timete.

    2247000069582848 - #5

    Australia! It's awfully quiet in #mathchat2247049675620352 - #6

    vidwees And there is our answer. #mat2247096739893248 - #7

    @davidwees #mathchat @malynmawhchat2247230588518400 - #8

    at I have electricity (and Net access) aft

    2247229770629120 - #9

    savings always messes with schedules2247249324474368 - #10

    er outage? #mathchat2247302508261377 - #11

    am Esp since the world can't get it toget

    2247389229690880 - #12

    does 'authentic' mean in a mathematics

    2247403230265344 - #13

    RT @teachdig: @ColinTGraham Esp sintime! #mathchat

    2247478379610115 - #14

    an in a mathematics class?

    tic' mean in a

    #mathchat

    for some... ;-) I had

    today

    chat

    y @Peter_Price Hi

    er 5 days cooking by

    ;-) #mathchat

    er to all change at the

    lass?" #mathchat Good

    ce the world can't get it

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    Friday, 4th November 2011

    @ColinTGraham @PeterN American contingent! #mathchFri Nov 04 00:07:18 +0000 2011 - tweet id 1

    @Peter_Price I use the wstudents 'good math teaching'. #Fri Nov 04 00:08:13 +0000 2011 - tweet id 1

    @ColinTGraham Topic, cis "What does 'authentic' mean inFri Nov 04 00:08:28 +0000 2011 - tweet id 1

    @dborkovitz Hi #mathchFri Nov 04 00:08:30 +0000 2011 - tweet id 1

    @dweksler US goes bacFri Nov 04 00:08:38 +0000 2011 - tweet id 1

    @Peter_Price I guess I ma math class' #mathchatFri Nov 04 00:08:50 +0000 2011 - tweet id 1

    @ColinTGraham @teach

    Fri Nov 04 00:09:08 +0000 2011 - tweet id 1

    @stefras I think authenticrather than just do. It explores maFri Nov 04 00:09:08 +0000 2011 - tweet id 1

    @dborkovitz authentic =Fri Nov 04 00:09:13 +0000 2011 - tweet id 1

    @teachdig How does evFri Nov 04 00:09:52 +0000 2011 - tweet id 1

    @ColinTGraham @Peterclassroom environment but not neFri Nov 04 00:10:02 +0000 2011 - tweet id 1

    @Peter_Price Welcome,Fri Nov 04 00:10:02 +0000 2011 - tweet id 1

    @stefras @Peter_Priceway. #mathchatFri Nov 04 00:10:18 +0000 2011 - tweet id 1

    What does 'authentic' m

    _Price G'day Peter @stefras @mathfourt2247512668045312 - #16

    ord 'authentic' a lot to describe to my preathchat2247741333114880 - #17

    hosen by me because the poll didn't wora mathematics class?" #mathchat2247803375255553 - #18

    t2247813236068352 - #19

    to "authentic" time this coming Sunday2247847092502529 - #20

    ean 'as in, real people do math like this,

    2247896631410688 - #21

    dig Hi Dvora @dborkovitz Hi Debra #ma

    2247973634650113 - #22

    refers to math which students have to thh. #mathchat2247972598644737 - #23

    not stupid #mathchat2247992974577665 - #24

    ryone define "authentic"? #mathchat2248157387104256 - #25

    _Price Ah... big confusion... some thingscessarily 'real world' #mathchat2248201649590272 - #26

    Debra @dborkovitz , to #mathchat!2248198222856192 - #27

    hat is a good definition of authentic re re

    2248266040549377 - #28

    an in a mathematics class?

    @davidwees Hi to the

    service teacher

    k properly last week :-/

    mathchat

    for real purposes, not in

    thchat

    ink about and work on

    are 'authentic' to a

    al people do math this

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    Friday, 4th November 2011

    @dweksler I hope we domeans - just saying :-) #mathchatFri Nov 04 00:10:42 +0000 2011 - tweet id 1

    @ColinTGraham except iHi Colin, boy this is easier w/tweeFri Nov 04 00:10:46 +0000 2011 - tweet id 1

    @Peter_Price authentic =skill #mathchatFri Nov 04 00:11:06 +0000 2011 - tweet id 1

    @stefras @dweksler SucFri Nov 04 00:11:12 +0000 2011 - tweet id 1

    @padgets#mathchat heFri Nov 04 00:11:18 +0000 2011 - tweet id 1

    @dborkovitz @ColinTGrFri Nov 04 00:11:24 +0000 2011 - tweet id 1

    @dweksler @Peter_PricFri Nov 04 00:11:39 +0000 2011 - tweet id 1

    @ColinTGraham @dwekfor classroom and real for life andFri Nov 04 00:11:42 +0000 2011 - tweet id 1

    @teachdig Trying to chatThankful for Tweetdeck!Fri Nov 04 00:12:04 +0000 2011 - tweet id 1

    @stefras @padgets AndFri Nov 04 00:12:07 +0000 2011 - tweet id 1

    @dborkovitz @Peter_Primath class? #mathchatFri Nov 04 00:12:36 +0000 2011 - tweet id 1

    @padgets @stefras #maFri Nov 04 00:12:43 +0000 2011 - tweet id 1

    @mathfour I'm in #LasVe#mathchatFri Nov 04 00:13:11 +0000 2011 - tweet id 1

    What does 'authentic' m

    't get stuck in a semantic puddle of deci

    2248367618199552 - #29

    t doesn't add the #mathchat RT @dborkdeck, didn't know about that last week2248385448194048 - #30

    not routine, not pointless, not merely ex

    2248469065834496 - #31

    h a discussion would indeed be too auth2248494256816129 - #32

    there! stopping in to say hi grading labs2248519129047041 - #33

    ham oops, will be more careful about #2248544622018560 - #34

    That works for me. Thanks, Peter #mat2248608325115904 - #35

    sler I hope we do, at least to separate areal for mathematics! #mathchat2248619175784449 - #36

    with #artsint and #mathchat at the same

    2248712725544964 - #37

    helping decide what authentic means, I h2248722175307776 - #38

    ce I like that def'n too. So why is so inau

    2248845684969472 - #39

    hchat yep!2248876085284864 - #40

    gas still - at #DevLearn - enjoying the ch

    2248993056038913 - #41

    an in a mathematics class?

    ing what "authentic"

    vitz: @ColinTGraham

    ercises to practise a

    ntic. #mathchat

    athchat

    chat

    istinction between real

    time is a big challenge.

    ope? #mathchat

    hentic so popular in

    at from my hotel room.

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    Friday, 4th November 2011

    @stefras @dborkovitz "InFri Nov 04 00:13:14 +0000 2011 - tweet id 1

    @Peter_Price @colintgra

    some 'real' math in the classroomFri Nov 04 00:13:19 +0000 2011 - tweet id 1

    @mathfour Curious topic#mathchatFri Nov 04 00:13:25 +0000 2011 - tweet id 1

    @dweksler Big push in Uincreasingly to adhere to a "core cFri Nov 04 00:13:45 +0000 2011 - tweet id 1

    @stefras @mathfour You#LasVegas#DevLearn#mathchaFri Nov 04 00:13:48 +0000 2011 - tweet id 1

    @teachdig @dborkovitz Ideep. Frustration abounds. #mathFri Nov 04 00:13:50 +0000 2011 - tweet id 1

    @dborkovitz @stefras wFri Nov 04 00:13:52 +0000 2011 - tweet id 1

    @mathfour @teachdig WFri Nov 04 00:14:01 +0000 2011 - tweet id 1

    @ColinTGraham @Peter'inauthentic'... what about non-maFri Nov 04 00:14:13 +0000 2011 - tweet id 1

    @padgets#mathchat wea Seatbelt lab poor eggs!Fri Nov 04 00:14:14 +0000 2011 - tweet id 1

    @teachdig @mathfour AFri Nov 04 00:14:15 +0000 2011 - tweet id 1

    @mathfour @stefras LikFri Nov 04 00:14:39 +0000 2011 - tweet id 1

    @dborkovitz @teachdigyear because there's so much the

    What does 'authentic' m

    authentic" is easier to grade? #mathchat2249003478884352 - #42

    ham I take your point, Colin - there are g

    maybe not 'real life' #mathchat2249026853732353 - #43

    : "What does 'authentic' mean in a mathe

    2249048961912832 - #44

    S classrooms to address what is on impurriculum" #mathchat2249136769675265 - #45

    can learn a lot about miney and math in

    2249146060046336 - #46

    think it also takes less time and since cuchat2249154540937217 - #47

    ll put! #mathchat and to standardize tes2249165337083904 - #48

    hat's #artsint? #mathchat2249203752701952 - #49

    _Price So are you saying any type of exhematical subjects eg sports #mathchat2249250653421568 - #50

    just got done doing Newton's laws lots o

    2249257905369088 - #51

    ts Integration! #artsint#mathchat2249261923508224 - #52

    this: http://t.co/jiziYLLb#mathchat2249363178196992 - #53

    es less time, except that you do thingsy don't really learn #mathchat

    an in a mathematics class?

    ood reasons for doing

    matics class?"

    rtant tests and

    Las Vegas! :)

    rric is so wide and not

    ....

    rcise or practise is

    math and then we did

    ver and over every

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    Friday, 4th November 2011

    Fri Nov 04 00:14:48 +0000 2011 - tweet id 1

    @dborkovitz @teachdigyear because there's so much theFri Nov 04 00:14:48 +0000 2011 - tweet id 1

    @stefras @mathfour Thawell. #mathchatFri Nov 04 00:14:49 +0000 2011 - tweet id 1

    @mathfour @teachdig InFri Nov 04 00:14:58 +0000 2011 - tweet id 1

    @teachdig @mathfour InFri Nov 04 00:15:36 +0000 2011 - tweet id 1

    @ColinTGraham @padgdo than in mathematics only, ShaFri Nov 04 00:15:44 +0000 2011 - tweet id 1

    @Peter_Price @colintgradon't equal use of math in 'real lifFri Nov 04 00:15:53 +0000 2011 - tweet id 1

    @teachdig @dborkovitzthis? #mathchatFri Nov 04 00:16:07 +0000 2011 - tweet id 1

    @JoAnnJacobs68 @ma#artsint#mathchatFri Nov 04 00:16:22 +0000 2011 - tweet id 1

    @padgets @ColinTGrahFri Nov 04 00:16:53 +0000 2011 - tweet id 1

    @susanrileyphoto @maslide for angles, interpreting remaiFri Nov 04 00:17:07 +0000 2011 - tweet id 1

    @ColinTGraham @Peterbecause its used that way in real lFri Nov 04 00:17:14 +0000 2011 - tweet id 1

    @mathfour @JoAnnJacocollege of Arts & Literature #mathFri Nov 04 00:17:25 +0000 2011 - tweet id 1

    What does 'authentic' m

    2249400637538304 - #54

    es less time, except that you do thingsy don't really learn #mathchat2249400637538304 - #55

    t was supposed to be money. I suppose

    2249401547694080 - #56

    tegrating art into what? (math...?) #artsin2249439191568384 - #57

    o any area really. #artsint#mathchat2249599074254849 - #58

    ts Interesting... do you think 'authentic' ion? #mathchat2249635984113664 - #59

    ham I think practice is vital, but pages of' ways #mathchat2249672269045760 - #60

    otally the problem. Why don't curric ppl l2249729164787712 - #62

    hfour I always felt that math and art wer

    2249793689956352 - #63

    m #mathchat ummm no.....I think they c2249923147137024 - #64

    hfour: I've done math lessons using dannders w/drama and more!#mathchat#ar2249980688809985 - #65

    _Price The question then is something nife? What about group dynamic #mathch2250013471490050 - #66

    bs68 Indeed. In some universities, the mhat2250059596251138 - #67

    an in a mathematics class?

    ver and over every

    it could be Minney as

    t#mathchat

    n Science is easier to

    'practice exercises'

    isten to teachers on

    meant to be integrated.

    mpliment each other

    ing to the Cha Chatsint

    ecessarily authenticat

    ath dept is in the

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    Friday, 4th November 2011

    @Peter_Price @colintgrabasketball, soccer, ...? Not sure.Fri Nov 04 00:17:34 +0000 2011 - tweet id 1

    @aschordine Here here!art were meant to be integrated. #Fri Nov 04 00:17:37 +0000 2011 - tweet id 1

    @dborkovitz @teachdigof information who cares if they foFri Nov 04 00:17:54 +0000 2011 - tweet id 1

    @penpln @peter_price:#mathchat use live data 4 venn di

    Fri Nov 04 00:17:59 +0000 2011 - tweet id 1

    @eliza_peterson @mathon YouTube http://t.co/5FyvYfjMFri Nov 04 00:18:00 +0000 2011 - tweet id 1

    @stefras @ColinTGrahathat be contrived? #mathchatFri Nov 04 00:18:03 +0000 2011 - tweet id 1

    @NatBanting @mathfourcreative math is artful, but linkingFri Nov 04 00:18:11 +0000 2011 - tweet id 1

    @ColinTGraham @padgmaybe makes it more authentic, bFri Nov 04 00:18:35 +0000 2011 - tweet id 1

    @dweksler @Peter_Pric

    "inauthentic" - coaching/teachingFri Nov 04 00:18:39 +0000 2011 - tweet id 1

    @mathfour @JoAnnJacocollege of Arts & Literature #mathFri Nov 04 00:18:40 +0000 2011 - tweet id 1

    @JoAnnJacobs68 PatteWe created dances to help remeFri Nov 04 00:18:54 +0000 2011 - tweet id 1

    @eliza_peterson There i#mathchat#artsint

    What does 'authentic' m

    ham Are sports practice drills and exercimathchat2250094564147200 - #68

    RT @JoAnnJacobs68: @mathfour I alwartsint#mathchat#artsint2250109458128896 - #69

    affles me that we're in this testing crazerget tomorrow? #mathchat2250180836794369 - #70

    o, "What does 'authentic' mean in a matagrams...

    2250202336788481 - #71

    our Heres one way I int dance with mathmathchat#artsint2250202827522049 - #72

    I think it is harder to identify in-authenti

    2250216270274560 - #73

    I almost always find this connection cono visual art... #mathchat2250248717406208 - #74

    ts I think mathematics used in Science 'ut doing Science in maths? #mathchat2250349733023745 - #75

    I think practices for teams can be authe

    an make a huge difference #mathchat2250366992584707 - #76

    bs68 Indeed. In some universities, the mhat#artsint

    2250370704539651 - #77

    ns are everywhere and you can find theber key concepts #mathchat#artsint

    2250429382852608 - #78

    also @mathinyourfeet http://t.co/7iAsH

    an in a mathematics class?

    e 'authentic' football,

    ys felt that math and

    and no talk of retention

    hematics class?"

    - Math Dances video

    c in Science. Would

    rived...I think doing

    legitimizes' the use, or

    ntic or also as

    ath dept is in the

    in art & music easily.

    VP Awesome stuff!

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    Friday, 4th November 2011

    Fri Nov 04 00:18:56 +0000 2011 - tweet id 1

    @teachdig @dborkovitzretention and ability to problem soFri Nov 04 00:19:00 +0000 2011 - tweet id 1

    @mathfour Perhaps I neFri Nov 04 00:19:02 +0000 2011 - tweet id 1

    @stefras @teachdig ManCanada. #mathchatFri Nov 04 00:19:05 +0000 2011 - tweet id 1

    @ColinTGraham Me too!felt that math and art were meantFri Nov 04 00:19:15 +0000 2011 - tweet id 1

    @dborkovitz @teachdiggrad h.s. and don't understand fraFri Nov 04 00:19:20 +0000 2011 - tweet id 1

    @padgets @ColinTGrahmath classFri Nov 04 00:19:23 +0000 2011 - tweet id 1

    @teachdig @stefras I do#mathchatFri Nov 04 00:19:42 +0000 2011 - tweet id 1

    @mwedwards @teachdiand #artsint to work togetherFri Nov 04 00:20:19 +0000 2011 - tweet id 1

    @ColinTGraham @stefr

    just bringing in art/science to 'do tFri Nov 04 00:20:23 +0000 2011 - tweet id 1

    @mathfour Okay, how's tFri Nov 04 00:20:58 +0000 2011 - tweet id 1

    @swilson_wafc @Peterthe less we have make school funFri Nov 04 00:20:59 +0000 2011 - tweet id 1

    @dborkovitz @teachdigpassing test, need for next classFri Nov 04 00:21:06 +0000 2011 - tweet id 1

    What does 'authentic' m

    2250440338374656 - #79

    e too. I think exploration in a more authlve in general. #mathchat2250456096378880 - #80

    d tweetdeck on this one - doing #mathc2250465093173248 - #81

    y curr people are teachers, and of subje

    2250477608968192 - #82

    I call it MATES... RT @JoAnnJacobs68:to be integrated. #artsint#mathchat2250518704766977 - #83

    I have all these college students who pactions, algebra etc #mathchat2250538287960064 - #84

    m #mathchat my team math teacher is

    2250553416814592 - #85

    like what I see in the Ontario upper level

    2250631636385792 - #86

    I wonder if there are ways you could ge

    2250788960542720 - #87

    s @padgets The challenge comes if the

    e maths' = inauthentic #mathchat2250802277457921 - #88

    his gonna work? Following #mathchat#2250951649202178 - #89

    Price the more we include 'authentic' tasbcoz it is REAL for ss #mathchat2250953528250368 - #90

    es w/exploration chance to see goal astc #mathchat2250982817075201 - #91

    an in a mathematics class?

    ntic way leads to better

    at and #artsint

    t areas, at least in

    @mathfour I always

    sed high stakes tests to

    oing science in her

    science curriculum.

    t ideas for#mathchat

    student thinks you're

    rtsint and #lrnchat

    ks in all learning areas

    understanding, not

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    Friday, 4th November 2011

    @padgets @mathfour #Fri Nov 04 00:21:36 +0000 2011 - tweet id 1

    @ColinTGraham @dbor

    an 'authentic' part of being in a clFri Nov 04 00:22:05 +0000 2011 - tweet id 1

    @CutTheKnotMath Sho@mathfour I always felt that mathFri Nov 04 00:22:20 +0000 2011 - tweet id 1

    @dborkovitz @ColinTGrauthentically w/art #mathchatFri Nov 04 00:22:33 +0000 2011 - tweet id 1

    @padgets @dborkovitz #Fri Nov 04 00:22:55 +0000 2011 - tweet id 1

    @mathfour AND my tumFri Nov 04 00:23:02 +0000 2011 - tweet id 1

    @teachdig @mwedwardFri Nov 04 00:23:12 +0000 2011 - tweet id 1

    @eliza_peterson I love sperpendicular lines! (forgot #mathFri Nov 04 00:23:39 +0000 2011 - tweet id 1

    @ColinTGraham @Petertraining... or improving muscle anFri Nov 04 00:23:40 +0000 2011 - tweet id 1

    @teachdig @ColinTGrahour grade too giving it even moreFri Nov 04 00:24:10 +0000 2011 - tweet id 1

    @T_C_P RT @eliza_peteparallel and perpendicular lines! (fFri Nov 04 00:24:18 +0000 2011 - tweet id 1

    @mwedwards me too Rwere meant to be integrated. #art

    Fri Nov 04 00:24:25 +0000 2011 - tweet id 1

    What does 'authentic' m

    athchat#artsint and #Irnchat very caref2251109434724352 - #92

    ovitz @teachdig The big danger is that 't

    ss, so it gets time. #mathchat2251232529154048 - #93

    d music and art too? @ColinTGrahamand art were meant to be integrated #m2251296563609600 - #94

    ham @stefras @padgets lots of geome

    2251350405881858 - #95

    mathchat oh yes!2251442596679680 - #96

    y hurts #mathchat#artsint#devlearn2251472778891265 - #97

    I think it is totally possible! #mathchat#2251514457690113 - #98

    owing my students Mondrian when wehat ) #artsint

    2251625480921088 - #99

    _Price I raised the sports analogy, becaso on. #mathchat

    2251631113871360 - #100

    am @dborkovitz So true. We have to pueight. #mathchat2251758226452480 - #101

    rson: I love showing my students Mondriorgot #mathchat ) #artsint2251791130771456 - #102

    @joannjacobs68: @mathfour I always fint#mathchat

    2251819693969409 - #103

    an in a mathematics class?

    lly :)

    esting' is seen as being

    JoAnnJacobs68thchat

    ry stuff that melds

    rtsint

    tudy parallel and

    se the drill is part of the

    some of the testing into

    an when we study

    elt that math and art

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    Friday, 4th November 2011

    @dborkovitz @ColinTGroral exam after a process focusedFri Nov 04 00:24:27 +0000 2011 - tweet id 1

    @republicofmath Is anyhttp://t.co/HBS5Glb5 or are we exFri Nov 04 00:24:42 +0000 2011 - tweet id 1

    @ColinTGraham @Peterthey because useless and, as I seFri Nov 04 00:24:43 +0000 2011 - tweet id 1

    @dborkovitz @teachdiggrade in time and $$ #mathchat

    Fri Nov 04 00:25:05 +0000 2011 - tweet id 1

    @eliza_peterson Everyofocused on Arts Integration PLaiCFri Nov 04 00:25:15 +0000 2011 - tweet id 1

    @ColinTGraham @repu"What does 'authentic' mean in aFri Nov 04 00:25:18 +0000 2011 - tweet id 1

    @MmeVeilleux What is tFri Nov 04 00:25:26 +0000 2011 - tweet id 1

    @earlsamuelson @Colinto understand trig identities be coFri Nov 04 00:25:31 +0000 2011 - tweet id 1

    @Peter_Price @colintgrawas 'real sport'? #mathchatFri Nov 04 00:25:31 +0000 2011 - tweet id 1

    @teachdig @dborkovitzscience class which are great. YeFri Nov 04 00:25:35 +0000 2011 - tweet id 1

    @stefras @mathfour HoFri Nov 04 00:25:38 +0000 2011 - tweet id 1

    @Peter_Price @colintgra#mathchatFri Nov 04 00:25:47 +0000 2011 - tweet id 1

    What does 'authentic' m

    ham @teachdig testing can be authentiunit #mathchat

    2251826216124416 - #104

    ne using "authentic" in accord with anyploring what we mean? #mathchat2251891391406080 - #105

    _Price If the drills are *not* resulting in ae it, inauthentic then #mathchat2251894109315072 - #106

    ColinTGraham part of the issue is test

    2251988095279104 - #107

    e - Please consider joining my newly forhttp://t.co/So8Wc64n#artsint#mathcha2252027404292096 - #108

    licofmath We are exploring, Gary, as peathematics class?" #mathchat

    2252039882358785 - #109

    e #mathchat topic? TY2252076200824834 - #110

    TGraham Can analyzing graphs of variosidered authentic? #mathchat

    2252095125532672 - #111

    ham Yes, of course. But would a sports

    2252095385583617 - #112

    ColinTGraham Sure it can be. I also halonger to grade. #mathchat

    2252112762576896 - #113

    can you handle all that input? #mathch2252124561162242 - #114

    ham I would think 'authentic' in sport is a

    2252162016296960 - #115

    an in a mathematics class?

    too.... I give a group

    ne of these definitions

    improvement, then

    that are cheap to

    med online PLC

    the topic question

    s sinusoidal functions

    layer (or fan) think it

    ve lab practicals in

    t#artsint#devlearn

    ctual competition

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    Friday, 4th November 2011

    @mathfour I found a way(must be caps) #mathchat#artsinFri Nov 04 00:26:10 +0000 2011 - tweet id 1

    @ColinTGraham @CutTA" sense to include all artistic endFri Nov 04 00:26:27 +0000 2011 - tweet id 1

    @Peter_Price To me 'autabout. Does that include practiceFri Nov 04 00:26:31 +0000 2011 - tweet id 1

    @mathfour @stefras I'mFri Nov 04 00:26:35 +0000 2011 - tweet id 1

    @dweksler @Peter_Pricassessment" of what has come bFri Nov 04 00:26:40 +0000 2011 - tweet id 1

    @padgets#mathchat mylonger to do and grade but so worFri Nov 04 00:26:46 +0000 2011 - tweet id 1

    @dborkovitz @republicomore complicated! #mathchatFri Nov 04 00:26:48 +0000 2011 - tweet id 1

    @angie_seattle RT @muse the OR operator (must be caFri Nov 04 00:26:56 +0000 2011 - tweet id 1

    @padgets @mathfour #Fri Nov 04 00:27:00 +0000 2011 - tweet id 1

    @stefras @republicofmat#mathchatFri Nov 04 00:27:08 +0000 2011 - tweet id 1

    @mathfour @MmeVeillenumber of topics you can follow" (Fri Nov 04 00:27:12 +0000 2011 - tweet id 1

    @penplnhttp://t.co/GXkYFri Nov 04 00:27:18 +0000 2011 - tweet id 1

    What does 'authentic' m

    to follow TWO hashtags on Twitter itself

    2252259127013376 - #116

    eKnotMath @JoAnnJacobs68 @mathfoeavours #mathchat2252330572775424 - #117

    hentic' in math means doing real math foSometimes... #mathchat

    2252346674724865 - #118

    reaking amazing, that's how. :D #mathc2252365943341056 - #119

    Yes, playing of the game/match/contesfore - why I like sports. #mathchat2252383882383360 - #120

    inquiry labs or when I do PBL show howth it2252410855964672 - #121

    math wow, obsolete = first def'n? ... that

    2252418988720128 - #122

    thfour: I found a way to follow TWO hass) #mathchat#artsint2252452371173376 - #123

    athchat yes you are!2252470423470080 - #124

    h I think we are exploring the meaning in

    2252503319384064 - #126

    x Topic for #mathchat is something likejk)2252519622643713 - #127

    cGWC Fibonacci + nature beautiful #ma2252545841242112 - #128

    an in a mathematics class?

    - use the OR operator

    ur I use Art in the "big

    r a reason we care

    at#artsint

    is the "authentic

    kids are authentic yes

    makes conversation

    tags on Twitter itself -

    context to math.

    "what's the maximum

    hchat#mathchat

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    @stefras @mathfour ORFri Nov 04 00:30:02 +0000 2011 - tweet id 1

    @penpln art, music, videFri Nov 04 00:30:21 +0000 2011 - tweet id 1

    @ColinTGraham @Peter'authentic'... or does it? #mathchaFri Nov 04 00:30:23 +0000 2011 - tweet id 1

    @mathfour @stefras NoFri Nov 04 00:30:46 +0000 2011 - tweet id 1

    @dborkovitz @republico#mathchatFri Nov 04 00:30:48 +0000 2011 - tweet id 1

    @stefras @mathfour :) #Fri Nov 04 00:31:06 +0000 2011 - tweet id 1

    @ColinTGraham @CutTnot as far as I'm concerned, Alex!Fri Nov 04 00:31:14 +0000 2011 - tweet id 1

    @earlsamuelson @stefrhow they work......systems of simFri Nov 04 00:31:22 +0000 2011 - tweet id 1

    @republicofmath "autheis sort of easier to identify. #mathFri Nov 04 00:31:37 +0000 2011 - tweet id 1

    @MmeVeilleux#mathchmemorizing formulas; real undersFri Nov 04 00:31:42 +0000 2011 - tweet id 1

    @padgets#mathchat#arover! :) Have a great rest of the wFri Nov 04 00:31:50 +0000 2011 - tweet id 1

    @MmeVeilleux#mathchFri Nov 04 00:31:55 +0000 2011 - tweet id 1

    @stefras @earlsamuelsoimportant. #mathchat

    What does 'authentic' m

    Boolean #mathchat#artsint2253232641744896 - #142

    , pi.. http://t.co/JWpei6hV#mathchat#m2253312908148737 - #143

    _Price No, but that is the point... it doesn

    2253322907353090 - #144

    or about it, you DEFINITELY use the bo2253417505697792 - #145

    math oops.... not the best multitasker, b

    2253425718136832 - #146

    athchat2253499311394817 - #148

    eKnotMath @JoAnnJacobs68 @mathfo#mathchat2253534463864833 - #149

    s I'm all about graphing functions and altaneous equations, etc... #mathchat2253566571253761 - #150

    tic" - I would probably say anything thathat2253631641698304 - #151

    t The opposite of authentic is fake. So fanding = I can forget the formula...2253651845656576 - #152

    tsint#tichat thank you ALL for such a woek! take care :0)

    2253686419304448 - #153

    t ... but still figure out the answer.2253708158377985 - #154

    n I meant on the unit circle, but yes the g

    an in a mathematics class?

    athchat

    't have to be 'real' to be

    lean! #mathchat

    t I like that mistake!

    ur "Is math excluded"...

    alyzing them to see

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    ke math is not just

    nderful chat 3 times

    raphs are also

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    Fri Nov 04 00:32:03 +0000 2011 - tweet id 1

    @dweksler RT @MmeVemath is not just memorizing formuFri Nov 04 00:32:03 +0000 2011 - tweet id 1

    @CutTheKnotMath Then@JoAnnJacobs68 @mathfour "IsFri Nov 04 00:32:27 +0000 2011 - tweet id 1

    @MmeVeilleux#mathchmath = I can solve with or withoutFri Nov 04 00:32:52 +0000 2011 - tweet id 1

    @Peter_Price Maybe 'au

    'authentic'? Perhaps it is for someFri Nov 04 00:32:59 +0000 2011 - tweet id 1

    @ColinTGraham @Peterall about competition? And 'autheFri Nov 04 00:33:00 +0000 2011 - tweet id 1

    @dborkovitz @ColinTGrmathematically #mathchatFri Nov 04 00:33:10 +0000 2011 - tweet id 1

    @stefras @CutTheKnotsciences and arts. #mathchatFri Nov 04 00:33:15 +0000 2011 - tweet id 1

    @jeremybabel Authenticstudents to make connections toFri Nov 04 00:33:26 +0000 2011 - tweet id 1

    @dweksler @MmeVeille- in a pinch? :-) #mathchatFri Nov 04 00:33:32 +0000 2011 - tweet id 1

    @republicofmath @Mma given context of learning, so inaFri Nov 04 00:33:44 +0000 2011 - tweet id 1

    @jeremybabel Not necesFri Nov 04 00:33:53 +0000 2011 - tweet id 1

    @JohnAllenPaulos Wittgbecomes an adverb & not a noun.

    What does 'authentic' m

    2253740546797568 - #155

    illeux: #mathchat The opposite of authelas; real understanding = I can f ...2253739062013952 - #156

    why integrate? It's already there. @Colimath excluded"... not as far as I'm conc2253840035688448 - #157

    t I meant to say that fake math = memorthe formula.2253944587108353 - #158

    hentic' in maths class depends on the st

    Ss, not for others. #mathchat2253974647681024 - #159

    _Price Maybe "'authentic' in sport is actutic' in sport *class*? #mathchat

    2253977524969472 - #160

    ham @Peter_Price "real" tasks can get

    2254022513078273 - #161

    ath Hmm. Math is really a crossroads or

    2254041437773824 - #162

    math, open ended, often with multiple pother areas of math #mathchat2254086547509248 - #163

    x Although sometimes it can be helpful t

    2254114934566913 - #165

    Veilleux Well you can also have fake, puthentic #mathchat2254162690908161 - #166

    sarily "real world" to be authentic #math2254200657752064 - #167

    enstein once said he looked forward to tMaybe mathematics too? #mathchat

    an in a mathematics class?

    tic is fake. So fake

    TGrahamrned#mathchat

    izing formulas; real

    dent. Is 24+65

    al competition" but is it

    kind of fake

    bridge between the

    ints of entry, allow for

    o memorize the formula

    ony, contrived tasks in

    hat

    e day when philosophy

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    Fri Nov 04 00:34:05 +0000 2011 - tweet id 1

    @MmeVeilleux#mathchFri Nov 04 00:34:39 +0000 2011 - tweet id 1

    @republicofmath @Coliit's not competitive #mathchatFri Nov 04 00:34:54 +0000 2011 - tweet id 1

    @teachdig Teaching proexpose Ss to different ways & letFri Nov 04 00:34:56 +0000 2011 - tweet id 1

    @earlsamuelson @stefrthe functions themselves enablesFri Nov 04 00:34:59 +0000 2011 - tweet id 1

    @Peter_Price @mmeveilthat would be 'authentic', no? #mFri Nov 04 00:35:27 +0000 2011 - tweet id 1

    @ColinTGraham @dbor"fake real"... but maybe not inauthFri Nov 04 00:35:31 +0000 2011 - tweet id 1

    @dweksler @JohnAllenPFri Nov 04 00:35:37 +0000 2011 - tweet id 1

    @mathfour This is goinghttp://t.co/AeZhKP95Fri Nov 04 00:35:52 +0000 2011 - tweet id 1

    @MmeVeilleux#mathchefficient system. @dweksler

    Fri Nov 04 00:35:52 +0000 2011 - tweet id 1

    @stefras @earlsamuelsotan look like on a unit circle (or acFri Nov 04 00:35:53 +0000 2011 - tweet id 1

    @CutTheKnotMath @sttalent, ingenuity, taste, hard work;Fri Nov 04 00:36:03 +0000 2011 - tweet id 1

    @jeremybabel In recentpatterns. Not real world but autheFri Nov 04 00:36:23 +0000 2011 - tweet id 1

    What does 'authentic' m

    2254254005100544 - #168

    t @Peter_Price I agree with that!2254394078076928 - #169

    TGraham @PeterPrice Well Aikido is a

    2254458645184512 - #170

    ortional thinking... so many ways to solvhem choose.? #mathchat2254464282345475 - #171

    s The unit circle is nice to get started bumuch more, I believe #mathchat2254478022868993 - #172

    leux But if I *have* memorized a formulathchat2254596235137024 - #173

    ovitz @Peter_Price And mathematical tentic mathematically... #mathchat2254614350344195 - #174

    aulos Wow, Wittgenstein! - welcome to2254635875512320 - #176

    o make me feel better! #mathchat#devl

    2254699641503744 - #177

    t I'm not anti-formula after one has unde

    2254700421656576 - #178

    n Agreed. My point was that few peopleually off it). #mathchat2254704192323584 - #179

    fras Math is really a crossroads ... Likeincludes beauty ... #mathchat2254746252820480 - #180

    bservation, students worked with pattertic #mathchat

    2254830877093889 - #181

    an in a mathematics class?

    thentic martial art but

    e. Is it not authentic to

    studying the graphs of

    , and then put it to use,

    sks can equally be

    mathchat Mr. Paulos

    arn#roomservice

    rstood and needs an

    now what a sec and

    ny art, math requires

    blocks, extended the

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    @stefras @CutTheKnotFri Nov 04 00:36:26 +0000 2011 - tweet id 1

    @republicofmath @Joh

    adverbs. #mathchat#ismathanadFri Nov 04 00:36:27 +0000 2011 - tweet id 1

    @Peter_Price fake mathsecurely learned and ready to beFri Nov 04 00:36:28 +0000 2011 - tweet id 1

    @earlsamuelson Agreesec and tan look like on a unit circFri Nov 04 00:36:30 +0000 2011 - tweet id 1

    @Peter_Price Good one!crossroads or bridge between theFri Nov 04 00:36:54 +0000 2011 - tweet id 1

    @CutTheKnotMath @stFri Nov 04 00:37:18 +0000 2011 - tweet id 1

    @ColinTGraham @earls

    process of validating or exploringFri Nov 04 00:37:25 +0000 2011 - tweet id 1

    @stefras @earlsamuelsocurriculum, or at least that's how IFri Nov 04 00:37:26 +0000 2011 - tweet id 1

    @MmeVeilleux#mathchtrying to apply formula & make errFri Nov 04 00:37:28 +0000 2011 - tweet id 1

    @dborkovitz Authentic cb day, mult, add, etc and end upFri Nov 04 00:37:44 +0000 2011 - tweet id 1

    @republicofmath Very aart, math requires talent, ingenuitFri Nov 04 00:37:52 +0000 2011 - tweet id 1

    @jeremybabel @republicFri Nov 04 00:38:25 +0000 2011 - tweet id 1

    What does 'authentic' m

    ath :) And craft. #mathchat2254843459997696 - #182

    AllenPaulos Stephen King in On Writing

    dverb2254848279248898 - #183

    = continuing to practice skills with no conpplied ?? #mathchat

    2254851760537600 - #184

    T @stefras Agreed. My point was that fle (or actually off it). #mathchat2254861084459009 - #185

    RT @stefras: @CutTheKnotMath Hmm.sciences and arts. #mathchat2254962485952512 - #186

    fras :) and craft ~ Absolutely, like any ar2255059722514432 - #187

    muelson Do you see this "making sens

    'truths' then, Earl? #mathchat2255092442284032 - #188

    n I do believe students need to know tharead it. #mathchat2255093465694208 - #189

    t I guess I'm coming from the pt-of-viewors which are unreasonable.2255104295383041 - #190

    n mean students care about answer, e./age and chocolate #mathchat2255168522756096 - #191

    thentic @CutTheKnotMath Math is reall, taste, hard work; beauty #mathchat2255205021581312 - #192

    ofmath @CutTheKnotMath why taste? #2255341420351488 - #193

    an in a mathematics class?

    said we should kill our

    text once the skill is

    w people know what a

    Math is really a

    #mathchat

    of things" as the

    now. It is part of the

    of working w/kids who R

    . emails that take their

    y crossroads. Like any

    mathchat

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    @dborkovitz Students loalgebra if it's been taught that waFri Nov 04 00:38:29 +0000 2011 - tweet id 1

    @ColinTGraham @CutTrephrased as "re-integrate" or "(reFri Nov 04 00:38:37 +0000 2011 - tweet id 1

    @stefras @Peter_Price(problem), finding pattern, learninFri Nov 04 00:39:11 +0000 2011 - tweet id 1

    @cristinaluminea I thinkdiscovered... discover the rules ra

    Fri Nov 04 00:39:21 +0000 2011 - tweet id 1

    @Peter_Price Great exaauthentic #mathchatFri Nov 04 00:39:33 +0000 2011 - tweet id 1

    @mathfour Seems anchstill thinking and watching #mathcFri Nov 04 00:39:51 +0000 2011 - tweet id 1

    @earlsamuelson Yes, Ias the process of validating or exFri Nov 04 00:39:54 +0000 2011 - tweet id 1

    @stefras @Peter_Pricemathematical thinking? #mathchaFri Nov 04 00:39:54 +0000 2011 - tweet id 1

    @dborkovitz @ColinTGr

    real world, authentic math #mathcFri Nov 04 00:40:14 +0000 2011 - tweet id 1

    @cristinaluminea Authe#mathchatFri Nov 04 00:40:18 +0000 2011 - tweet id 1

    @CutTheKnotMath That'should probably be rephrased asFri Nov 04 00:40:18 +0000 2011 - tweet id 1

    @ColinTGraham @cristimany have expectations they sho

    What does 'authentic' m

    e those, and I've had adults tell me they#mathchat

    2255361083256832 - #194

    eKnotMath @JoAnnJacobs68 @mathfo)focus on"... #mathchat2255394356666368 - #195

    o authentic depends on who is involved.vs just doing #mathchat

    2255536182853632 - #196

    authentic allows Ss to discover maths thther than being taught #mathchat

    2255576750161920 - #197

    ple, @jeremybabel ! Extending pattern:

    2255628356890624 - #198

    vies in #LasVegas are different than inhat2255702264709120 - #200

    o RT @ColinTGraham Do you see this "loring 'truths' then, Earl? #mathchat2255716667965440 - #201

    o we then outgrow what is authentic bef

    2255714101043200 - #202

    ham @Peter_Price yes, both real world,

    hat2255799136370688 - #203

    tic maths allows students to understand

    2255816601440256 - #204

    s good: (Re-) @ColinTGraham @JoAnnre-integrate" or "(re)focus on"...#mathch2255815682891776 - #205

    aluminea That would work if students ald be taught the rules #mathchat

    an in a mathematics class?

    would have understood

    ur It should probably be

    SO authentic = solving

    way it has first been

    Not real world but

    Texas#DevLearn (and

    making sense of things"

    re as we mature in our

    , inauthentic math; fake

    rather than replicate

    acobs68 @mathfour Itat

    e prepared to discover...

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    Fri Nov 04 00:40:22 +0000 2011 - tweet id 1

    @MmeVeilleux RT @crisrather than replicate #mathchatFri Nov 04 00:40:50 +0000 2011 - tweet id 1

    @dborkovitz @ColinTGr#mathchatFri Nov 04 00:40:55 +0000 2011 - tweet id 1

    @jeremybabel @ColinTover time #mathchatFri Nov 04 00:40:56 +0000 2011 - tweet id 1

    @emwdx#mathchat If w

    WILL see it is appropriate to explFri Nov 04 00:41:24 +0000 2011 - tweet id 1

    @Peter_Price Yes! RT @discover the rules rather than beiFri Nov 04 00:41:29 +0000 2011 - tweet id 1

    @stefras @teachdig Thelately. Too confusing. Those whoFri Nov 04 00:41:43 +0000 2011 - tweet id 1

    @MmeVeilleux RT @emart, then students WILL see it is aFri Nov 04 00:41:56 +0000 2011 - tweet id 1

    @Peter_Price I agree, S(problem), finding pattern, learninFri Nov 04 00:42:09 +0000 2011 - tweet id 1

    @cristinaluminea @Coliexpectations for them... kids startFri Nov 04 00:42:23 +0000 2011 - tweet id 1

    @ColinTGraham Do we'real life', when the real life is outsFri Nov 04 00:42:29 +0000 2011 - tweet id 1

    @jeremybabel @stefrasrecognized and even highlightedFri Nov 04 00:42:45 +0000 2011 - tweet id 1

    What does 'authentic' m

    2255831977762816 - #206

    tinaluminea: Authentic maths allows stud

    2255949414076416 - #207

    ham @cristinaluminea where do they g

    2255969886474240 - #208

    raham @cristinaluminea but that expect

    2255974546358272 - #209

    do succeed in posing mathematics as a

    re, create, and make mistakes.2256092880248833 - #211

    cristinaluminea: authentic allows Ss to dg taught #mathchat2256114057285634 - #212

    e are big complaints about teaching stuknew get lost. Hmm. :( #mathchat2256171275980800 - #214

    dx: #mathchat If we do succeed in posipropriate to explore, create, and ...

    2256225437024257 - #215

    aun! RT @stefras: @Peter_Price SO auvs just doing #mathchat

    2256281783304194 - #216

    TGraham I think the structure of the schlearning through failure #mathchat2256338712600576 - #217

    ll agree that 'authentic' in class does notide the classroom? #mathchat2256367179337728 - #218

    teachdig but if different kids solve diffes a good thing #mathchat2256432857952256 - #219

    an in a mathematics class?

    ents to understand

    t those expectations?

    ation can be broken

    n art, then students

    iscover maths ...

    ents multiple ways

    g mathematics as an

    thentic = solving

    ool is setting those

    exactly correspond to

    rently that should be

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    @stefras @republicofmat#ismathanadadverbFri Nov 04 00:42:47 +0000 2011 - tweet id 1

    @emwdx#mathchat Shotoo many believe it is only a set ofFri Nov 04 00:43:00 +0000 2011 - tweet id 1

    @josecamoessilva @Joover management & w/ quantifiedFri Nov 04 00:43:07 +0000 2011 - tweet id 1

    @CutTheKnotMath @jertastes differ & because aesthetics

    Fri Nov 04 00:43:20 +0000 2011 - tweet id 1

    @mathfour @cristinalumimath?#mathchathttp://t.co/WPUFri Nov 04 00:43:20 +0000 2011 - tweet id 1

    @ColinTGraham @jere#mathchat are all about reformingFri Nov 04 00:43:45 +0000 2011 - tweet id 1

    @stefras @jeremybabeland as you get more mathy autheFri Nov 04 00:43:54 +0000 2011 - tweet id 1

    @mathfour @stefras Hoor adverbs? Really. @republicofmFri Nov 04 00:44:02 +0000 2011 - tweet id 1

    @Peter_Price @stefras

    need new 'authentic' challenges.Fri Nov 04 00:44:18 +0000 2011 - tweet id 1

    @cristinaluminea @dboways that don't work(failing) this cFri Nov 04 00:44:26 +0000 2011 - tweet id 1

    @stefras @jeremybabel#mathchatFri Nov 04 00:44:30 +0000 2011 - tweet id 1

    @earlsamuelson#mathcgeometric/algebraic representatio

    What does 'authentic' m

    h And we should kill our adjectives. #ma

    2256441494011904 - #220

    ing it is an art is something we must delsteps and nothing more.2256497911599104 - #221

    nAllenPaulos Isn't that what's happeninself trends? #mathchat#ShowMeTheN2256525266862080 - #222

    emybabel @republicofmath why taste? #plays role in good math

    2256580078014465 - #223

    nea How about this for letting kids see hbcLr via @MathFour2256579767648256 - #224

    ybabel @cristinaluminea Oh yes, and I tstudents' (and teachers') expectations.2256685455716353 - #225

    rue. I think we were discussing authentintic things trivial. #mathchat2256723619692545 - #226

    are we going to describe anything if weath #pardonthepun#mathchat2256756557553664 - #227

    robably, yes. As students grow in knowl

    mathchat2256823863545856 - #228

    kovitz @ColinTGraham kids start learninhanges when they start school #mathch2256858688864256 - #229

    hat is old authentic things. New authent

    2256874677538816 - #230

    hat @stefras Once students begin to acts change with the conditions given, (co

    an in a mathematics class?

    hchat

    iberately do though -

    with analytics takingmbers

    mathchat Because

    ow we "grow"

    hink those of us here on

    as a relative "thing"

    don't have adjectives

    dge & ability, they

    g by discovering thet

    ic things are authentic

    ually SEE how thet

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    Fri Nov 04 00:44:36 +0000 2011 - tweet id 1

    @earlsamuelson cont)Fri Nov 04 00:44:35 +0000 2011 - tweet id 1

    @BobToms100 @ColinTexperience, hence that is real lifeFri Nov 04 00:44:48 +0000 2011 - tweet id 1

    @cristinaluminea @matFri Nov 04 00:45:05 +0000 2011 - tweet id 1

    @dborkovitz @cristinaluallowed, can be learned from? #mFri Nov 04 00:45:09 +0000 2011 - tweet id 1

    @stefras @mathfour VerDiction. #pardonthepun#mathchaFri Nov 04 00:45:16 +0000 2011 - tweet id 1

    @teacherswhorun @Petdiscover? #mathchatFri Nov 04 00:45:31 +0000 2011 - tweet id 1

    @cristinaluminea @dboFri Nov 04 00:45:39 +0000 2011 - tweet id 1

    @CutTheKnotMath @jerdifferently ~ But, of course, they dFri Nov 04 00:45:49 +0000 2011 - tweet id 1

    @Peter_Price @colintgraSs, class life is a big part of their rFri Nov 04 00:45:57 +0000 2011 - tweet id 1

    @ColinTGraham @BobTof 'real life' outside the classroom.Fri Nov 04 00:46:17 +0000 2011 - tweet id 1

    @cristinaluminea @teacfacilitate discovery #mathchatFri Nov 04 00:46:24 +0000 2011 - tweet id 1

    @jeremybabel @CutThecreativity out of them #mathchatFri Nov 04 00:46:33 +0000 2011 - tweet id 1

    What does 'authentic' m

    2256899042250753 - #232

    things begin to "make sense" to them #2256895221248001 - #231

    Graham Authentic to me is what child pras well. #mathchat#spannerintheworks2256950435061760 - #233

    four I love that! #mathchat2257019775303680 - #234

    inea @ColinTGraham so partly does aathchat2257039031353344 - #235

    s and nouns. Verbs and nouns. Strongt2257064906014720 - #236

    er_Price @cristinaluminea But how do w

    2257131045994497 - #237

    kovitz @ColinTGraham I strongly believ2257163858018304 - #238

    emybabel @stefras @teachdig but if diffo, even starting very early #mathchat2257204391772160 - #239

    ham Yes. And there is 'real life' IN the cleality. #mathchat2257238495666176 - #240

    oms100 It's not a spanner, Neil, it's just t.. class life diff? #mathchat2257324084633600 - #241

    herswhorun @Peter_Price technology h

    2257352157114370 - #242

    notMath @stefras @teachdig as long a

    2257389087948800 - #243

    an in a mathematics class?

    athchat

    duces in a learning

    thentic = mistakes

    erbs and nouns.

    e teach them to

    so #mathchat

    rent kids solve

    ssroom, of course. For

    hat I made a distinction

    s the possibility to

    s we don't teach the

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    @dborkovitz Are we sayido I agree with that? #mathchatFri Nov 04 00:47:03 +0000 2011 - tweet id 1

    @emwdx#mathchat @crbiggest power of tech is that powFri Nov 04 00:47:27 +0000 2011 - tweet id 1

    @jeremybabel @dborko#mathchatFri Nov 04 00:47:39 +0000 2011 - tweet id 1

    @ColinTGraham Don't ki@cristinaluminea "how do we tea

    Fri Nov 04 00:47:47 +0000 2011 - tweet id 1

    @CutTheKnotMath @jercreativity out of them ~ Right. WeFri Nov 04 00:48:21 +0000 2011 - tweet id 1

    @stefras @emwdx True.explorative about them. #mathchFri Nov 04 00:48:37 +0000 2011 - tweet id 1

    @emwdx#mathchat @crtime to figure out what you want tFri Nov 04 00:48:40 +0000 2011 - tweet id 1

    @dborkovitz @jeremybacontext of who students are, whatFri Nov 04 00:48:46 +0000 2011 - tweet id 1

    @cristinaluminea @em

    for mistakes without major conseFri Nov 04 00:49:03 +0000 2011 - tweet id 1

    @ColinTGraham @dborit's part of my reality. It may not bFri Nov 04 00:49:16 +0000 2011 - tweet id 1

    @dborkovitz @jeremybathink so.... #mathchatFri Nov 04 00:49:19 +0000 2011 - tweet id 1

    @BobToms100 @ColinTsettings & groups/peers), but perh

    What does 'authentic' m

    ng then that "authentic" only makes sens

    2257513331638272 - #244

    istinaluminea @teacherswhorun @Peterr - #geogebra is my fav. teaching tool2257617807548416 - #246

    itz data without context is just numbers

    2257665127694336 - #247

    ll their natural curiosity... @teacherswhoh them to discover?" #mathchat

    2257697985863680 - #248

    emybabel @stefras @teachdig as long ashould take care not to #mathchat2257840336343042 - #249

    Sciences though allowing mistakes seet2257907713654785 - #251

    istinaluminea @teacherswhorun @Peterem to know using tech is key.2257920372056065 - #252

    bel interesting, I wasn't even thinking ofthey know #mathchat2257945873428484 - #253

    dx @teacherswhorun tech is the only on

    uences and provide feedback #mathcha2258017654751232 - #254

    ovitz I say that anything which happens'authentic' in context #mathchat

    2258072990191616 - #255

    bel can't you have authentic mathematic

    2258085447282688 - #256

    Graham #mathchat There are social diffaps same pre (cont) http://t.co/UjcTm

    an in a mathematics class?

    e in a context? hmm,

    Price I think the

    o I think I agree

    un @Peter_Price

    s we don't teach the

    less forgiving and

    Price giving students

    ata, was thinking of

    e that is able to allow

    t

    o me is real, because

    with just numbers? I

    rences (differentmq

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    Fri Nov 04 00:49:28 +0000 2011 - tweet id 1

    @stefras @ColinTGrahait can include how math is used inFri Nov 04 00:49:39 +0000 2011 - tweet id 1

    @mathfour Yipes - theyFri Nov 04 00:49:58 +0000 2011 - tweet id 1

    @jeremybabel @dborko#mathchat, but context makes theFri Nov 04 00:50:21 +0000 2011 - tweet id 1

    @emwdx#mathchat @crthat hurts math's reputation (comFri Nov 04 00:50:35 +0000 2011 - tweet id 1

    @Peter_Price I think so.saying then that "authentic" onlyFri Nov 04 00:50:42 +0000 2011 - tweet id 1

    @teachdig @stefras Kinhard I remind them they can useFri Nov 04 00:50:47 +0000 2011 - tweet id 1

    @ColinTGraham OK... Adifferent from that you give to a stFri Nov 04 00:51:46 +0000 2011 - tweet id 1

    @mathfour @dborkovitzjust numbers. Actually, just fingerFri Nov 04 00:51:53 +0000 2011 - tweet id 1

    @stefras @teachdig The

    teach multiple/all methods. This isFri Nov 04 00:52:04 +0000 2011 - tweet id 1

    @dborkovitz @ColinTGronce format may be getting aheaFri Nov 04 00:52:09 +0000 2011 - tweet id 1

    @emwdx#mathchat @dnumbers themselves, it won't beFri Nov 04 00:52:22 +0000 2011 - tweet id 1

    @jeremybabel @mathfodoing the math #mathchat

    What does 'authentic' m

    2258124668223489 - #257

    I agree. Authentic does not equal real lreal life. #mathchat2258168104427520 - #258

    ut sardines on my pizza, not anchovies!2258248307908608 - #259

    itz math yes, I was just thinking of a linenumbers more interesting

    2258347444482048 - #260

    istinaluminea @teacherswhorun And it cutation) out of the game.2258402586996737 - #261

    nd context can be 'in Ss thinking' RT @akes sense in a context? #mathchat

    2258433981353984 - #263

    a crazy huh. When a students says a what they like. #mathchat

    2258455225499648 - #264

    tourist says to you: "Where station is?"...dent learning English? #mathchat

    2258703054356481 - #265

    @jeremybabel Sure you can! Math start! #mathchat2258729449103360 - #266

    problem is that here in Western Canada,

    often harmful. #mathchat2258778279194624 - #267

    ham were we talking about real vs authof me here.... #mathchat

    2258797820448768 - #268

    orkovitz @jeremybabel for a weak studeuthentic to him/her.2258852577099776 - #269

    r @dborkovitz but there was a reason th

    an in a mathematics class?

    ife. But I also agree that

    #mathchat

    in the stats text I use

    n take the part of math

    borkovitz: Are we

    y confuses them or is

    is your response

    d (authentically) with

    , we are mandated to

    ntic? 140 char talk at

    nt conditioned to dislike

    ey needed to start

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    Fri Nov 04 00:52:29 +0000 2011 - tweet id 1

    @mathfour @stefras @Cpersonality, spirit, or character #mFri Nov 04 00:52:59 +0000 2011 - tweet id 1

    @ColinTGraham And, ifwhich response is the more 'real'Fri Nov 04 00:53:02 +0000 2011 - tweet id 1

    @Peter_Price @colintgra'authentic' response. #mathchatFri Nov 04 00:53:02 +0000 2011 - tweet id 1

    @CutTheKnotMath @jer

    numbers more interesting ~in theFri Nov 04 00:53:22 +0000 2011 - tweet id 1

    @CutTheKnotMath @jernumbers more interesting ~in theFri Nov 04 00:53:22 +0000 2011 - tweet id 1

    @teachdig @stefras Whconfusing for some? #mathchatFri Nov 04 00:53:27 +0000 2011 - tweet id 1

    @stefras @earlsamuelsoconditions change is very powerfuFri Nov 04 00:53:30 +0000 2011 - tweet id 1

    @mathfour @jeremybabnumbers? Number theory is oftenFri Nov 04 00:53:38 +0000 2011 - tweet id 1

    @dborkovitz @jeremybadone #mathchatFri Nov 04 00:53:41 +0000 2011 - tweet id 1

    @mathfour @CutTheKnask a discrete mathematician aboFri Nov 04 00:54:10 +0000 2011 - tweet id 1

    @ColinTGraham You'd pnot always... authenticity is shapeFri Nov 04 00:54:24 +0000 2011 - tweet id 1

    What does 'authentic' m

    2258881517789184 - #270

    olinTGraham I like this definition of authathchat2259008437428224 - #271

    our response is different, is that becausr 'authentic'? #mathchat

    2259018927386626 - #272

    ham Good example, Colin. Context dete

    2259020764479488 - #273

    emybabel @dborkovitz #mathchat, but c

    1940-50s women became human comp2259104885456896 - #274

    emybabel @dborkovitz #mathchat, but c1940-50s women became human comp2259104885456896 - #275

    is it harmful to expose them and let the

    2259126360293376 - #276

    n Connecting visual with symbol (graphl. #mathchat2259140218273792 - #277

    l @dborkovitz Sure - is "counting things"just numbers" #mathchat2259173705584640 - #278

    bel @mathfour and some cultural differe

    2259184250073088 - #279

    tMath @jeremybabel @dborkovitz That'ut that one. #mathchat2259308065923072 - #281

    robably give directions to the tourist andby reality, for me #mathchat

    2259363711750145 - #282

    an in a mathematics class?

    ntic: true to one's own

    the context dictates

    rmines what is the

    ntext makes the

    ters to be scien

    ntext makes theters to be scien

    choose? Too

    ith algebra) as

    considered just

    ces in how math was

    an opinion. How about

    correct the student, but

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    Friday, 4th November 2011 What does 'authentic' mean in a mathematics class?

    @BobToms100 @ColinTGraham #mathchat too many variables, yet one can generalise.To the tourist you give the answer. To the learner you help them learn.Fri Nov 04 00:54:29 +0000 2011 - tweet id 132259386432303104 - #283

    @stefras @mathfour How would that definition be used in a math context? I interpret it aslearning to understanding, then moving on. #mathchatFri Nov 04 00:54:36 +0000 2011 - tweet id 132259414794186752 - #284

    @mathfour @teachdig @stefras Exposure should never be limited - provided they'reasking for it. #mathchatFri Nov 04 00:55:02 +0000 2011 - tweet id 132259524521377793 - #285

    @jeremybabel @mathfour @dborkovitz number theory is often just numbers, but I wouldthink that context often drove the need for the theory #mathchat

    Fri Nov 04 00:55:02 +0000 2011 - tweet id 132259525167288321 - #286

    @emwdx#mathchat @teachdig @stefras if students are at 70% proficiency at knowinghow to use three different ways, they may not be able to choose.Fri Nov 04 00:55:10 +0000 2011 - tweet id 132259555924127744 - #287

    @dborkovitz @mathfour @CutTheKnotMath @jeremybabel actually, I am a discretemathematician .... #mathchat again, depends what you mean by contextFri Nov 04 00:55:31 +0000 2011 - tweet id 132259646042935296 - #288

    @mathfour @stefras Authentic math is true to one's own personality, spirit, or character.Do what you want - solve how you want. #mathchatFri Nov 04 00:55:35 +0000 2011 - tweet id 132259663579332609 - #289

    @stefras @teachdig I was just in a PD workshop where the teacher complained thatstudents that "had it" (math concept) "lost it" due to ... #mathchatFri Nov 04 00:55:46 +0000 2011 - tweet id 132259707116208128 - #290

    @mathfour @stefras With authentic math via my def, you get to follow curiosity and make

    math your own (to grab maria's phrase) #mathchatFri Nov 04 00:56:01 +0000 2011 - tweet id 132259771205165057 - #291

    @dgburris @Peter_Price practice can take on a different meaning for students in a largerapplied maths context #mathchatFri Nov 04 00:56:16 +0000 2011 - tweet id 132259834811793409 - #293geo info: Point - lat = 42.30780403 - long = -71.10071051

    @mathfour @dborkovitz :D Did you hear my joke? #mathchatFri Nov 04 00:56:17 +0000 2011 - tweet id 132259837714247680 - #294

    @stefras @teachdig ... too many methods for same problem. Yes, confusing on big scale.#mathchatFri Nov 04 00:56:17 +0000 2011 - tweet id 132259836854403072 - #295

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    @BobToms100 @ColinTexpect; the tourist wants the statiFri Nov 04 00:56:18 +0000 2011 - tweet id 1

    @mathfour @dborkovitztells no one? #mathchatFri Nov 04 00:56:40 +0000 2011 - tweet id 1

    @jeremybabel @mathfooften makes numbers more intereFri Nov 04 00:56:56 +0000 2011 - tweet id 1

    @ColinTGraham OK... lacomments or thoughts on authent

    Fri Nov 04 00:57:07 +0000 2011 - tweet id 1

    @teachdig @stefras Undmethod shown. Only show themFri Nov 04 00:57:38 +0000 2011 - tweet id 1

    @emwdx @mathfour @sguess and check. s.t. that's all stdFri Nov 04 00:57:40 +0000 2011 - tweet id 1

    @mathfour stefras @teabut let them find their way on theirFri Nov 04 00:57:48 +0000 2011 - tweet id 1

    @dborkovitz @jeremybamost likely for a prime.not much cFri Nov 04 00:58:02 +0000 2011 - tweet id 1

    @jeremybabel @mathfoFri Nov 04 00:58:17 +0000 2011 - tweet id 1

    @dborkovitz @mathfourdishonest? #mathchatFri Nov 04 00:58:38 +0000 2011 - tweet id 1

    @mathfour @emwdx @spattern then a formula/method. #Fri Nov 04 00:58:44 +0000 2011 - tweet id 1

    @stefras @teachdig I amunderstand and help him/her learFri Nov 04 00:58:46 +0000 2011 - tweet id 1

    What does 'authentic' m

    Graham #mathchat Context dictates I hen an (cont) http://t.co/R2aqW2WY2259844068614144 - #296

    hat do you call a mathematician that c2259937136033792 - #297

    r @stefras agreed, that can happen w/osting not always required #mathchat2260004089704448 - #298

    st five minutes for today... & we're just gicity in the maths class #mathchat

    2260049488842754 - #299

    erstand but what do you do when a studlternative? #mathchat2260180204335104 - #300

    efras #mathchat I try to encourage learnnts can/want 2 do. #mathchat2260187745697792 - #301

    hdig That's why we shouldn't give themown. #mathchat

    2260219253293056 - #302

    bel @mathfour I've had students get introntext, but authentic #mathchat2260279881973760 - #303

    r @teachdig yes! #mathchat2260342859436032 - #304

    um, I'm thinking discrete or is it discreet

    2260431422169088 - #305

    tefras Guess and check is natural. Leadathchat

    2260457431052288 - #306

    a sub, so I can stop and analyze what tthat. #mathchat

    2260461906370560 - #307

    an in a mathematics class?

    lp both in the way they

    eats on his taxes and

    context, I just think it

    tting going! Any final

    nt is not getting the

    ing methods other than

    many (or any) methods,

    sted in what last digit

    ??? or maybe

    to them trying to find a

    e student does not

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    @cristinaluminea @Colireal world answers aren't true or fFri Nov 04 00:58:56 +0000 2011 - tweet id 1

    @jeremybabel @dborkoproblem #mathchatFri Nov 04 00:59:01 +0000 2011 - tweet id 1

    @BobToms100 @ColinTEnglish - I don't think she was imFri Nov 04 00:59:01 +0000 2011 - tweet id 1

    @CutTheKnotMath @mtaxes and tells no one? #mathcha

    Fri Nov 04 00:59:06 +0000 2011 - tweet id 1

    @teachdig @mathfour Syou help them? #mathchatFri Nov 04 00:59:14 +0000 2011 - tweet id 1

    @ColinTGraham @mathearlier, that stands out is "3: not fFri Nov 04 00:59:16 +0000 2011 - tweet id 1

    @ezka29#mathchat latesome balance btw relevance andFri Nov 04 00:59:16 +0000 2011 - tweet id 1

    @stefras @teachdig I woCreate history of failure. :( #mathcFri Nov 04 00:59:18 +0000 2011 - tweet id 1

    @mathfour NICE RT @d

    likely for a prime.not much contexFri Nov 04 00:59:22 +0000 2011 - tweet id 1

    @dborkovitz @CutTheKis interesting, what were you goinFri Nov 04 00:59:42 +0000 2011 - tweet id 1

    @emwdx#mathchat @mtime/motivation to make that nextFri Nov 04 00:59:46 +0000 2011 - tweet id 1

    @mathfour @jeremybabFri Nov 04 00:59:53 +0000 2011 - tweet id 1

    What does 'authentic' m

    TGraham the response can be differentlse only. #mathchat

    2260504285609985 - #308

    itz @mathfour I think that is context, the2260525085179904 - #309

    Graham #mathchat I corrected a Romaressed by her facial expression2260526305718272 - #310

    thfour What do you call a mathematiciant I do not know. What?

    2260547579232256 - #311

    what about the ones who do not find it

    2260581867663360 - #312

    our @stefras I think the definition, of thelse or imitiation..." #mathchat2260587605463042 - #313

    rriving to mathchat but awesome topic.lassical math

    2260590008811520 - #314

    uld not give up on a given method and mhat2260599823470593 - #315

    borkovitz: Ive had students get intrested

    , but authentic #mathchat2260614990077952 - #316

    otMath @jeremybabel that women as hto say? is that no context? #mathchat

    2260699517894657 - #317

    athfour @stefras I agree, but you need tstep to finding patterns and generalizing.2260717276565504 - #318

    l @dborkovitz Then everything is conte2260745290330112 - #319

    an in a mathematics class?

    for different variables.

    context just not a story

    oman's incorrect use of

    that cheats on his

    n their own. How do

    5 that Gary posted

    uthentic to me means

    ove onto another.

    in what last digit most

    man computers history

    give them

    t. #mathchat

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    @ColinTGraham "Worthpractice to include collaboration, rFri Nov 04 01:00:13 +0000 2011 - tweet id 1

    @mathfour @emwdx @sFri Nov 04 01:00:22 +0000 2011 - tweet id 1

    @ezka29 @emwdx yep-Fri Nov 04 01:00:33 +0000 2011 - tweet id 1

    @teachdig @stefras ButFri Nov 04 01:00:34 +0000 2011 - tweet id 1

    @dborkovitz @mathfourFri Nov 04 01:00:40 +0000 2011 - tweet id 1

    @jeremybabel @mathfois there. #mathchatFri Nov 04 01:00:42 +0000 2011 - tweet id 1

    @stefras @ColinTGrahaFri Nov 04 01:00:43 +0000 2011 - tweet id 1

    @mathfour @stefras @tFri Nov 04 01:01:06 +0000 2011 - tweet id 1

    @ColinTGraham @BobTon first" type of situation... ;-) #maFri Nov 04 01:01:32 +0000 2011 - tweet id 1

    @stefras @teachdig Yes.teaching that student that way yoFri Nov 04 01:01:41 +0000 2011 - tweet id 1

    @jeremybabel Authentichttp://t.co/suYcF9dg#mathchatFri Nov 04 01:01:42 +0000 2011 - tweet id 1

    @mathfour @jeremybabproblem.#mathchatFri Nov 04 01:01:43 +0000 2011 - tweet id 1

    @CutTheKnotMath @dbother way round. At the time, thisFri Nov 04 01:01:51 +0000 2011 - tweet id 1

    What does 'authentic' m

    of acceptance"? RT @dgburris: it feelsevision, and sharing too #mathchat2260827448352768 - #320

    tefras Indeed. So why don't we? #mathc2260866254053376 - #321

    eneralizing is way important. #mathchat2260910784978944 - #322

    maybe another way will lead to success.2260917948841984 - #323

    @jeremybabel ooh that sounds too dee2260943357939713 - #324

    r @dborkovitz not 2x - 5 = 14, solve. No

    2260948898619392 - #325

    WOuld authentic then be relevant in co2260955978600448 - #326

    achdig We shouldn't be teaching metho2261052065914880 - #327

    oms100 Yes... inappropriate responseshchat2261161763749888 - #328

    But once a student struggles on one wasend a potent message #mathchat

    2261198145142785 - #329

    math in this video by a district just outsid

    2261201353768960 - #330

    l @dborkovitz You'll add 14+5 in the co

    2261204348506112 - #331

    orkovitz @jeremybabel is that no contextas the way for them to be scientist

    2261240365002752 - #332

    an in a mathematics class?

    ore authentic for

    at

    #mathchat

    ! #mathchat

    sure what that context

    ntext? #mathchat

    s at all! #mathchat

    an turn into a "Who's

    y and you give up on

    e chicago,

    text of the

    ? #mathchat ~ No, the

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    @dborkovitz @jeremybaso many non story ways to give itFri Nov 04 01:02:14 +0000 2011 - tweet id 1

    @Peter_Price How about@teachdig: @mathfour #mathchaFri Nov 04 01:02:16 +0000 2011 - tweet id 1

    @mathfour @stefras @Ccuriosity (not the grownup/teacheFri Nov 04 01:02:17 +0000 2011 - tweet id 1

    @cristinaluminea definitrelevant in context? #mathchat

    Fri Nov 04 01:02:30 +0000 2011 - tweet id 1

    @teachdig @stefras Thachoose from there. The help indiviFri Nov 04 01:02:33 +0000 2011 - tweet id 1

    @emwdx#mathchat @mdoesn't just happen without beingFri Nov 04 01:03:05 +0000 2011 - tweet id 1

    @dborkovitz @CutTheKthey were doing.... just followed stFri Nov 04 01:03:15 +0000 2011 - tweet id 1

    @ColinTGraham @stefrirrelevant at that time... in which cFri Nov 04 01:03:18 +0000 2011 - tweet id 1

    @cristinaluminea I like t

    discover; teach only when necessFri Nov 04 01:03:27 +0000 2011 - tweet id 1

    @earlsamuelson @Colinlearning (if that is the purpose) caFri Nov 04 01:03:28 +0000 2011 - tweet id 1

    @teachdig @Peter_Price#mathchatFri Nov 04 01:03:31 +0000 2011 - tweet id 1

    @ezka29#mathchat @mFri Nov 04 01:03:39 +0000 2011 - tweet id 1

    What does 'authentic' m

    bel @mathfour agree 2x-5=14 good no ccontext #mathchat2261334342565888 - #333

    : "Encourage students to discover; teacht2261346237616128 - #334

    olinTGraham No. Authentic means pers) #mathchat2261349106515969 - #335

    ly RT @stefras: @ColinTGraham WOul

    2261403582152704 - #336

    is why I often show different ways to thdually. #mathchat2261414822887424 - #337

    athfour @stefras I plan time to do that wideliberate.2261552182140928 - #339

    otMath @jeremybabel As I've read, maeps #mathchat2261591906402304 - #340

    s Perhaps, but something can also remse it is what? #mathchat

    2261604652875776 - #341

    at RT @Peter_Price: How about: "Enco

    ary"? @teachdig: @mathfour #mathchat2261641730531328 - #342

    TGraham .....anything that fuels curiositybe considered authentic #mathchat

    2261646402981888 - #343

    Would love to all the time, but time agai

    2261659703123969 - #344

    thfour I like that- authentic is personal.2261693068808192 - #345

    an in a mathematics class?

    ontext example.....and

    only when necessary"?

    nal. Following the kid's

    authentic then be

    class and let Ss

    h my students, it

    y had no idea what

    in authentic but still be

    rage students to

    to extend one's own

    becomes the limiter.

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    @stefras @teachdig I amthey are good. But when mandateFri Nov 04 01:03:54 +0000 2011 - tweet id 1

    @mathfour @dborkovitzno one would know what to do! OFri Nov 04 01:04:12 +0000 2011 - tweet id 1

    @teachdig @stefras ManFri Nov 04 01:04:21 +0000 2011 - tweet id 1

    @ColinTGraham So, I'llthough! Thanks for your contributiFri Nov 04 01:04:38 +0000 2011 - tweet id 1

    @cristinaluminea @Petwhen they discover something onFri Nov 04 01:04:53 +0000 2011 - tweet id 1

    @mathfour @ColinTGra#mathchatFri Nov 04 01:04:59 +0000 2011 - tweet id 1

    @CutTheKnotMath @dbjust followed steps #mathchat ~ mFri Nov 04 01:05:10 +0000 2011 - tweet id 1

    @jeremybabel @mathfoput context around it to make senFri Nov 04 01:05:19 +0000 2011 - tweet id 1

    @dborkovitz @ColinTGrFri Nov 04 01:05:22 +0000 2011 - tweet id 1

    @lissgriffin#mathchat stheir classes too.Fri Nov 04 01:05:29 +0000 2011 - tweet id 1

    @ColinTGraham Validatiseen to include a work context thFri Nov 04 01:05:46 +0000 2011 - tweet id 1

    @stefras @ColinTGraharelevant to learner. So if authenticFri Nov 04 01:05:57 +0000 2011 - tweet id 1

    What does 'authentic' m

    not saying that different ways of solvingd and confusing. #mathchat2261755337449472 - #346

    @jeremybabel If you just slapped downcourse there's contxt! #mathchat2261829484351490 - #347

    dated can def be a big issue. #mathchat2261869439303680 - #349

    e giving my definition out on Monday... tons everyone! #mathchat2261938217484289 - #350

    r_Price @teachdig @mathfour studentstheir own rather when they are spoonfe2262002604244992 - #351

    am @stefras What does it mean to be "i

    2262027199660032 - #352

    orkovitz @jeremybabel many had no ideany, not all. Most were very proud2262072695275520 - #353

    r @dborkovitz yes give it to the kids ande of the problem #mathchat2262113002528768 - #354

    ham wow that hour went fast....#mathch2262124373291008 - #355

    ience is even giving some classes so ki

    2262155327242240 - #356

    on? RT @dgburris authentic practicing ot calls for revisn/collabor #mathchat2262227368611840 - #357

    I guess that depends on ones definitio, also relevant. #mathchat2262273493372928 - #358

    an in a mathematics class?

    are bad. In fact, I think

    x-5=14 without context,

    at's a wrap for today,

    are more engaged#mathchat

    rrelevant" in math?

    what they were doing...

    let them go, they might

    at

    s can work on the lab in

    math skills can be

    of relevant. I meant

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    @mathfour @jeremybabLoads of context without "word prFri Nov 04 01:06:33 +0000 2011 - tweet id 1

    @dborkovitz @CutTheKwomen bookkeepers in my familyFri Nov 04 01:06:37 +0000 2011 - tweet id 1

    @stefras @mathfour Irrelmath. #mathchatFri Nov 04 01:06:54 +0000 2011 - tweet id 1

    @mathfour @ColinTGraagain on Monday, right? #mathch

    Fri Nov 04 01:07:10 +0000 2011 - tweet id 1

    @Peter_Price @colintgra#mathchat again. Now, back to wFri Nov 04 01:07:10 +0000 2011 - tweet id 1

    @dborkovitz @CutTheK#mathchatFri Nov 04 01:07:12 +0000 2011 - tweet id 1

    @ColinTGraham Fermat'@mathfour: @stefras What doesFri Nov 04 01:07:17 +0000 2011 - tweet id 1

    @mathfour @stefras Buty'all seem to call irrelevant. #mathFri Nov 04 01:07:44 +0000 2011 - tweet id 1

    @Peter_Price TeachersFri Nov 04 01:07:58 +0000 2011 - tweet id 1

    @dborkovitz @mathfourintroducing symbols too early ... cFri Nov 04 01:08:02 +0000 2011 - tweet id 1

    @stefras @mathfour If yFri Nov 04 01:08:13 +0000 2011 - tweet id 1

    @teachdig Thanks @Colsome work done tonight. Happy tFri Nov 04 01:08:19 +0000 2011 - tweet id 1

    What does 'authentic' m

    l @dborkovitz They must know what allblem invention" #mathchat

    2262423389417472 - #359

    otMath @jeremybabel my grandmotherand how I was carrying on their math #2262440141455360 - #360

    evant to kid and surroundings/context of

    2262510341537793 - #361

    am Holy cow. It's over. *sniff* SO sad. Bt

    2262577538469888 - #362

    ham Thanks again, Colin. Vigorous discrk...2262576120803328 - #363

    otMath @jeremybabel .... meaning I get

    2262585423773696 - #364

    s Last Theorem is irrelevant to Fibonacciit mean to be "irrelevant" in math? #math2262606525304832 - #365

    again, that's based on the kid. For me, achat2262718416748545 - #367

    f math: check out #mathchat every wee2262779011874816 - #368

    @jeremybabel sometimes part of keepinn hide meaning #mathchat

    2262795189288962 - #369

    u loved it, how can it be irrelevant? #ma2262843297968129 - #370

    inTGraham for moderating a great #matget some new ideas as usual.

    2262865099952128 - #371

    an in a mathematics class?

    he symbols mean, etc.

    would talk aboutathchat

    math. Not irrelevant in

    ut we'll do this topic

    ssion loved

    why they were proud

    sequences? RTchat

    s a kid, I loved the stuff

    - free PD for all!

    g context is not

    hchat

    chat Gotta run and get

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    Friday, 4th November 2011

    @ColinTGraham @mathFri Nov 04 01:08:19 +0000 2011 - tweet id 1

    @CutTheKnotMath @db

    #mathchat ~That was Math for thFri Nov 04 01:08:40 +0000 2011 - tweet id 1

    @ColinTGraham @PeterFri Nov 04 01:08:56 +0000 2011 - tweet id 1

    @mathfour @stefras Mywithout paying attention to the kidFri Nov 04 01:09:05 +0000 2011 - tweet id 1

    @dborkovitz @CutTheKput #mathchatFri Nov 04 01:09:27 +0000 2011 - tweet id 1

    @cristinaluminea @matFri Nov 04 01:09:41 +0000 2011 - tweet id 1

    @stefras @mathfour ButCurr is too full. Would be nice tho

    Fri Nov 04 01:10:16 +0000 2011 - tweet id 1

    @ColinTGraham @dgbuother students makes it a more aFri Nov 04 01:10:20 +0000 2011 - tweet id 1

    @earlsamuelson RT @sexploration and discovery. Curr isFri Nov 04 01:10:42 +0000 2011 - tweet id 1

    @NatBanting @stefras#mathchatFri Nov 04 01:10:56 +0000 2011 - tweet id 1

    @jeremybabel That was iFri Nov 04 01:10:56 +0000 2011 - tweet id 1

    @stefras @mathfour Sostudents will need later (higher gr

    Fri Nov 04 01:11:01 +0000 2011 - tweet id 1

    What does 'authentic' m

    our Yep, back on Monday at our new ti2262868539285506 - #372

    orkovitz @jeremybabel meaning I get wh

    m, with "M"2262953935310848 - #374

    _Price Bye Pete! @teachdig Bye Dvora!2263020456980481 - #375

    point exactly. Grownups often determine. #mathchat

    2263059283648512 - #376

    otMath @jeremybabel That was Math f

    2263153877786624 - #377

    four can I ask what made you love it? #2263212858097664 - #378

    not everything can be taught through exgh. #mathchat

    2263359188971520 - #379

    ris Validation of personal theories/ideasthentic experience... #mathchat2263373546065920 - #380

    efras: @mathfour But not everything catoo full. Would be nice though. #mathch2263465707515907 - #381

    mathfour Such is the catch-22 of school

    2263524301930496 - #382

    nteresting, my first time participating in t2263523815407616 - #383

    dults must make decisions. Also adultsdes and life). #mathchat

    2263545793548288 - #384

    an in a mathematics class?

    e... ;-) #mathchat

    y they were proud

    #mathchat

    what's (ir)relevant

    r them, with "M" -- well

    athchat

    loration and discovery.

    by discussing them with

    be taught throught

    mathematics!

    e #mathchat live

    upposedly know what

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    Friday, 4th November 2011

    @mathfour @cristinalumifor-math's-sake math was just anFri Nov 04 01:11:20 +0000 2011 - tweet id 1

    @dborkovitz thanks everdiscussion (interesting people helFri Nov 04 01:11:34 +0000 2011 - tweet id 1

    @mathfour Yes it can. @discovery. #mathchatFri Nov 04 01:11:37 +0000 2011 - tweet id 1

    @ColinTGraham @dgbutowards a more 'authentic' or acc

    Fri Nov 04 01:11:38 +0000 2011 - tweet id 1

    @thecatholiccoup Got aweek #mathchatFri Nov 04 01:11:48 +0000 2011 - tweet id 1

    @mathfour And that's thFri Nov 04 01:11:58 +0000 2011 - tweet id 1

    @stefras @mathfour I thisenior high rather than early childFri Nov 04 01:12:06 +0000 2011 - tweet id 1

    @ColinTGraham @thecwe revisit today's #mathchat topicFri Nov 04 01:12:35 +0000 2011 - tweet id 1

    @stefras @mathfour CanFri Nov 04 01:12:37 +0000 2011 - tweet id 1

    @mathfour @stefras Yemessing it all up. #mathchatFri Nov 04 01:12:41 +0000 2011 - tweet id 1

    @mathfour @stefras Yustudents. #mathchatFri Nov 04 01:13:04 +0000 2011 - tweet id 1

    @stefras @mathfour HmFri Nov 04 01:13:16 +0000 2011 - tweet id 1

    What does 'authentic' m

    nea I like puzzly things. I'm a gamer at hther game. #mathchat2263626559078400 - #385

    yone -- amazed that this format can yields) #mathchat2263684167843840 - #386

    stefras But not everything can be taught

    2263697237295104 - #387

    ris The process of revision suggests chptable form, doesn't it? #mathchat

    2263702614376448 - #388

    flat tire on my way home and missed the

    2263743672418304 - #389

    real problem. @stefras Curr is too full.2263787658096641 - #390

    k the difference here is that I am thinkinand elementary. #mathchat2263817156632576 - #391

    tholiccoup Oh, shame! See if you can joi... ;-)2263938850160641 - #392

    't ingnore the problem! #currfull#mathch2263949856014336 - #393

    h, well, adults need to get the heck outt

    2263968042520576 - #394

    - you're already getting damaged goods

    2264063290978305 - #396

    . No adults. No learning for future. #ma2264113165438978 - #397

    an in a mathematics class?

    eart. So doing the math-

    an interesting

    through exploration and

    nging something

    chat :( maybe next

    mathchat

    about junior and

    n us on Monday when

    at

    the way. We're just

    . Like my college

    hchat

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    Friday, 4th November 2011

    @ColinTGraham OK, I'm@mathchat to keep updated! #mFri Nov 04 01:14:47 +0000 2011 - tweet id 1

    @mathfour @stefras I doFri Nov 04 01:14:52 +0000 2011 - tweet id 1

    @cristinaluminea @matvery passionate about it... and I diFri Nov 04 01:14:53 +0000 2011 - tweet id 1

    @jeremybabel @mathfodept ask 4 any topic & he show hFri Nov 04 01:14:58 +0000 2011 - tweet id 1

    @stefras Thanks for thethe moderation. #mathchatFri Nov 04 01:15:09 +0000 2011 - tweet id 1

    @mathfour @stefras "Geprinciple in coaching techniques.Fri Nov 04 01:15:24 +0000 2011 - tweet id 1

    @cristinaluminea @stefrtoday... why do you think we can'tFri Nov 04 01:15:59 +0000 2011 - tweet id 1

    @stefras @mathfour TruSupposedly job potential leads cuFri Nov 04 01:16:55 +0000 2011 - tweet id 1

    @mathfour @jeremybabnetworking group on "math in youFri Nov 04 01:17:07 +0000 2011 - tweet id 1

    @stefras @cristinaluminKids love it. #mathchatFri Nov 04 01:17:39 +0000 2011 - tweet id 1

    @mathfour Yeah - I'm th#mathchatFri Nov 04 01:17:52 +0000 2011 - tweet id 1

    @lissgriffin#mathchat mFri Nov 04 01:18:13 +0000 2011 - tweet id 1

    What does 'authentic' m

    off for the moment! Don't forget to followthchat2264496256401408 - #398

    n't mean to eliminate the adults. #mathc2264517181771776 - #399

    four I am the same... but I loved it becascovered I could do it #mathchat2264519492841472 - #402

    r @stefras I remember @tkanold speakw to discover, he did not fail #mathchat2264542490198017 - #403

    reat chat everyone. Thanks @ColinTGr

    2264586828185600 - #404

    t out of the way" means to follow curiositmathchat2264647842725890 - #405

    as @mathfour exploration and discoveryreplicate that? #mathchat2264797382262784 - #406

    , but curr leads us and we are mandaterr. #mathchat2265031579607040 - #407

    l @stefras @tkanold I'm thinking of doinr purse" - all impromptu! #mathchat2265083383447552 - #408

    a Best way to teach, particularly if you r

    2265215734710272 - #409

    last kid at the party. Stuck in another ci

    2265270608805888 - #410

    aths and art http://t.co/Edc2QQ8c thank2265359821639680 - #411

    an in a mathematics class?

    the new tweeps and

    at

    se my first teacher was

    to the WChicago math

    ham for the topic and

    y, not lead. Essential

    got math where it is

    to lead stdnts.

    g a talk at a women's

    cognize the history.

    y in a hotel room. *sniff*

    @michellegriff

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    Friday, 4th November 2011

    @mathfour @stefras WeFri Nov 04 01:18:20 +0000 2011 - tweet id 1

    @stefras @mathfour :) #Fri Nov 04 01:18:40 +0000 2011 - tweet id 1

    @stefras @mathfour OnFri Nov 04 01:19:43 +0000 2011 - tweet id 1

    @stefras @jeremybabelscare you off? ;-)Fri Nov 04 01:21:18 +0000 2011 - tweet id 1

    @jeremybabel @stefras istill not sure I got it by the end butFri Nov 04 01:22:44 +0000 2011 - tweet id 1

    @cristinaluminea I just deveryone!Fri Nov 04 01:23:24 +0000 2011 - tweet id 1

    @stefras @mathfour HmFri Nov 04 01:23:34 +0000 2011 - tweet id 1

    @stefras @thecatholiccoconfusing us! #mathchatFri Nov 04 01:24:20 +0000 2011 - tweet id 1

    @jeremybabel @stefrasonly 1 person post 100 seeminglyFri Nov 04 01:25:53 +0000 2011 - tweet id 1

    @ColinTGraham @stefrlocal time on the #mathchat wiki...Fri Nov 04 01:27:07 +0000 2011 - tweet id 1

    @stefras @jeremybabelessentially disrupt discussions. #Fri Nov 04 01:27:09 +0000 2011 - tweet id 1

    @stefras @ColinTGrahaFri Nov 04 01:27:41 +0000 2011 - tweet id 1

    @jeremybabel @stefras iso i wondered if I was following a

    What does 'authentic' m

    totally need to change that, because it's2265388930109440 - #412

    athchat2265473684422656 - #413

    hour ahead of "summer" schedule on M2265737631965185 - #414

    ope you enjoyed #mathchat and will co

    2266136447356928 - #415

    t was fun, joined late & had a hard time finteresting #mathchat2266494796107777 - #417

    iscovered #mathchat... a great experien

    2266663658786816 - #418

    m! #mathchat2266704343543809 - #419

    p MOnday. Monday. Ask @ColinTGrah

    2266899034742784 - #420

    ut it made more sense than when I wasrandom posts in just 1 hour #mathchat2267286173192192 - #422

    s @thecatholiccoup OR.... you can chechttp://t.co/0BVcnsmy2267597008863232 - #423

    eah, I don't like chain tweets. They clogathchat

    2267607989559297 - #424

    Shh. Don't tell them about the handy li2267742442168320 - #425

    t was more that I had no idea what #matrazy person

    an in a mathematics class?

    garbage. #mathchat

    onday. #mathchat

    e again. Or did we

    iguring out the topic,,

    e @1am... thanks

    m the time. He keeps

    new to twitter seeing

    k the handy link to your

    people's timelines and

    k! ;p #mathchat

    hchat was at the time,

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    Fri Nov 04 01:28:05 +0000 2011 - tweet id 1

    @stefras @jeremybabelparticularly at the speed some ofFri Nov 04 01:28:51 +0000 2011 - tweet id 1

    @jeremybabel @stefras#mathchatFri Nov 04 01:29:23 +0000 2011 - tweet id 1

    @ColinTGraham @jere#mathchat, then you were definiteFri Nov 04 01:29:26 +0000 2011 - tweet id 1

    @stefras @jeremybabel

    typer. This keyboard doesn't helpFri Nov 04 01:29:51 +0000 2011 - tweet id 1

    @stefras @ColinTGraha#mathchatFri Nov 04 01:30:34 +0000 2011 - tweet id 1

    @SchoolmarmDE @jereused to it. ;)Fri Nov 04 01:31:16 +0000 2011 - tweet id 1

    @jeremybabel @SchoolFri Nov 04 01:31:43 +0000 2011 - tweet id 1

    @stefras @jeremybabeland I have to log off to continue tyFri Nov 04 01:32:10 +0000 2011 - tweet id 1

    @ColinTGraham For the

    or my interview with @Samuel_HFri Nov 04 01:32:22 +0000 2011 - tweet id 1

    @lissgriffin Musical RoaFri Nov 04 01:32:53 +0000 2011 - tweet id 1

    @stefras I'm out! #mathcFri Nov 04 01:33:18 +0000 2011 - tweet id 1

    2267842983833600 - #426

    h. I understand. Yes that would have bre chats get to. #mathchat

    2268034986475520 - #427

    nd i was only following one of the partici

    2268167417430016 - #428

    ybabel If you were only following @stefrly following a crazy person :-P2268180218454016 - #429

    hat was our chats of course. Ah Twitter

    either. Too cramped. #mathchat2268284971196416 - #430

    @jeremybabel :) ha ha ha ha ha