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#mathchat Wiki
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! guided tour
001 Differentiation
002 'Real' maths
003 Fractions
004 Manipulatives
005 Assessment
006 What technology?
007 Adult curriculum
008 Reflective Learners
009 Engagement
010 Class Time Use
011 Why I hate maths
012 Terminology
013 'Mathphobia'
014 The Nature of Maths
015 Show and Tell
016 Vertical Integration
017 Product to Process
018 Investigation Length
019 Preparation for Work
020 Success in Mathematics
021 Groupwork
022 Effective lessons
023 Impact of ICT
024 Mathematics Websites
028 Why under 16?
2010.07.15 Differentiation
2010.07.19 Differentiation (2)
2010.07.22 'Real' maths
2010.07.26 'Real' maths (2)
2010.07.29 Fractions
2010.08.02 Fractions (2)
2010.08.05 Manipulatives
2010.08.09 Manipulatives (2)
2010.08.12 Assessment
2010.08.16 Assessment (2)
2010.08.19 What tech?
2010.08.23 What tech? (2)
2010.08.26 Adult maths
2010.08.30 Adult maths (2)
2010.09.02 Reflective learner
2010.09.06 Reflective learner 2
2010.09.09 Engagement
2010.09.13 Engagement 2
2010.09.16 Class Time Use
2010.09.20 Class Time Use 2
2010.09.23 Why I hate maths
2010.09.27 Why I hate math 2
2010.09.30 Terminology
2010.10.04 Terminology 2
2010.10.07 'Mathphobia'
2010.10.11 'Mathphobia' (2)
2010.10.14 Nature of Maths
2010.10.18 Nature of Maths (2)
2010.10.21 Show and Tell
2010.10.25 Show and Tell (2)
2010.10.28 Vertical Integration
2010.11.01 Vertical Integratn 2
2010.11.04 Product to Process
2010.11.08 Product to Proc. 2
2010.11.11 Investigation length
2010.11.15 Investigation leng 2
2010.11.18 Prepn for work
2010.11.22 Prepn for work 2
2010.11.25 Success in Maths
2010.12.03 Groupwork
2010.12.06 Groupwork 2
2010.12.10 Effective lessons
2010.12.13 Effective Lesson 2
2010.12.17 Impact of ICT
2010.12.20 Impact of ICT 2
2010.12.24 Maths Websites
2011.01.03 Maths Website 2
2011.01.07 Ideal curriculum
2011.01.10 Ideal curriculum 2
2011.01.14 Short or longterm
2011.01.17 Short or longterm2
2011.01.21 Continuing PD
2011.01.24 Continuing PD 2
2011.01.28 Why under 16?
2011.01.31 Why under 16? (2)
2011.02.04 Which is more fun?
2011.02.11 Blended learning
2011.02.14 Blended learning 2
2011.02.18 Fast tracking
2011.02.21 Fast tracking (2)
2011.02.25 Misconceptions
2011.02.28 Misconceptions 2
2011.03.04 Good Reads
2011.03.07 Good Reads (2)
2011.03.11 How do I  fractions
2011.03.18 How do I  lang
2011.03.21 How do I  lang (2)
2011.03.25 How do I  curric
2011.03.28 How do I  curric 2
2011.04.01 How?  next topic
2011.04.04 How?  nxt topic 2
2011.04.08 How?  Geometry
2011.04.11 How?  Geom 2
2011.04.15 How?Investigation
2011.04.18 How?Investigatn 2
2011.04.22 How? Do vs. learn
2011.04.25 How?Do vs learn 2
2011.04.29 How?Dig deeper
2011.05.02 How?Dig deeper 2
2011.05.06 'Big Ideas'
2011.05.09 'Big Ideas' (2)
2011.05.13 High school skill
2011.05.16 High school skill 2
2011.05.20 Journals
2011.05.23 Journals (2)
2011.05.27 Studentdriven
2011.05.30 Studentdriven (2)
2011.06.03 How?  Maths play
2011.06.06 How?Maths play 2
2011.06.10 Deeper thinking
2011.06.13 Deeper thinking (2)
2011.06.17 How?  Disjointed
2011.06.17 How?  Disjointed 2
2011.06.24 How?  Problems
2011.06.27 How?  Problems 2
2011.07.01 Holiday maths
2011.10.28 Extent of plans
2011.10.31 Extent of plans (2)
2011.11.04 Authentic is..?
2011.11.07 Authentic is..? (2)
Z_1 Thursday raw
Z_2 Monday raw
Z_consolidated
2011.03.18 How do I  lang
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Topic:
How do I use technology to teach the language of mathematics?
As it happened on
Friday, 18th March 2010 00:00  01:00 GMT
12:33 am
ColinTGraham
:
@
davidwees
It's ok. The change to daylight savings messes up schedules/timings for a few weeks... this #
mathchat
will stay at 00:00 GMT
12:34 am
mathfour
:
Can we give @
davidwees
a nuggie or a wedgie or something? #
mathchat
12:34 am
ColinTGraham
:
@
mathfour
He's probably more intent on his drinkie! @
davidwees
#
mathchat
12:34 am
mathfour
:
Okay, so language of mathematics can be... the terms we define... #
mathchat
12:35 am
ColinTGraham
:
(1) "language of mathematics" is the language used to explain or which is used in mathematics #
mathchat
12:36 am
mathfour
:
Or it can mean that stupid crap they talk of in the movies, "Math is the language of the universe" BAH! #
mathchat
12:36 am
ColinTGraham
:
(2) "language of mathematics" mathematics is a language (of abstraction) which needs to be taught and learned as such #
mathchat
12:37 am
mathfour
:
@
ColinTGraham
Like words used in algebraic systems  rings and modules and such? #
mathchat
12:37 am
mathfour
:
Well  in one sense it's just semantics, in the other sense it is concepts and theories  right? hmm... no... #
mathchat
12:37 am
mathfour
:
I don't like this topic. *pout* #
mathchat
12:38 am
mathfour
:
@
ColinTGraham
Even with your two definitions, I don't think it has been defined. #
mathchat
12:38 am
ColinTGraham
:
@
mathfour
For (1), yes. For example, identical is used in everyday language, but not in specific areas of mathematics #
mathchat
12:39 am
ColinTGraham
:
For (2), it's more of the 'grammar' 'syntax' etc. and that maybe teaching mathematics needs to be done more like language teaching #
mathchat
12:39 am
mathfour
:
@
ColinTGraham
So "identical" isn't used in specific areas of math? Like what? I don't understand that. #
mathchat
12:40 am
ColinTGraham
:
@
mathfour
Two triangles which have the same angles, same area etc. can be placed one on top of another are 'congruent' in geometry #
mathchat
12:41 am
mathfour
:
@
ColinTGraham
I have to say that my fav prof in grad school would return a proof if written in bad math syntax. Sloppy/unelegant #
mathchat
12:41 am
mathfour
:
@
ColinTGraham
i.e. they used "congruent" instead of "identical"  okay I'm with you. #
mathchat
12:42 am
ColinTGraham
:
@
mathfour
Yes, in the same way that your English teacher may have returned an essay if a logical argument was not followed. #
mathchat
12:42 am
mathfour
:
But the congruent and identical thing, again, is semantics. We could call it shakamakacoocoo if we wanted to. #
mathchat
12:43 am
markbethune
:
@
ColinTGraham
just arrived at work. What is the #
mathchat
topic this morning?
12:43 am
mathfour
:
@
ColinTGraham
He would actually return it if we didn't start with "Let x be an element of..." #
mathchat
12:44 am
mathfour
:
@
markbethune
Something crazy, that's for sure! Welcome to the insanity. #
mathchat
12:44 am
ColinTGraham
:
@
markbethune
"How do I use technology to teach the language of mathematics?" #
mathchat
12:44 am
ColinTGraham
:
@
markbethune
Bon and I are trying to pin down what "language of mathematics" means... #
mathchat
12:44 am
mathfour
:
@
markbethune
And we're starting out with trying to figure out what "language of mathematics" is #
mathchat
12:46 am
mathfour
:
instance of a system of complex communication  Wikipedia's "language" #
mathchat
12:47 am
mathfour
:
Hmm... a system of complex communication. The system would be the vocab and the punctuation. #
mathchat
12:47 am
ColinTGraham
:
RT Mark: ooh good one. So important, the language of mathematics. I have a great backchannel activity I use to teach communication #
mathchat
12:48 am
mathfour
:
Vocab includes words like congruent, real, normal, commutative. Punctuation includes all symbols like =, <, +, sigma, and even . #
mathchat
12:49 am
mathfour
:
@
ColinTGraham
Is Mark not using the hashtag? I missed his tweet that you Retwote. #
mathchat
12:50 am
ColinTGraham
:
@
mathfour
But there is also the idea, to go back to identity, for example, where it is defined according to mathematical context #
mathchat
12:50 am
markbethune
:
@
mathfour
thought I RT my comment with the hashtag. Missed it first time around. sorry #
mathchat
12:50 am
daveinstpaul
:
The language of math is taught by reading (and writing) math. Technology can be used to teach the vocabulary of math. #
mathchat
12:51 am
ColinTGraham
:
@
markbethune
Yes but if you RT a long tweet, and the #
mathchat
appears after the 140char limit, it doesn't appear!
12:51 am
mathfour
:
@
ColinTGraham
It doesn't matter if it is in math context or not  it's a different language. So we need not worry about that. #
mathchat
12:51 am
markbethune
:
@
ColinTGraham
see, we can learn everyday! #
mathchat
12:52 am
mathfour
:
@
ColinTGraham
Like in some language "tan" is a nasty word. So people in the oilfield refer to things as bone. #
mathchat
12:52 am
mathfour
:
@
ColinTGraham
What I mean is that the same "word" in English means something different in math  normal is a perfect example #
mathchat
12:53 am
ColinTGraham
:
@
daveinstpaul
Yes if we take the (1) definition I tweeted earlier. If we take (2), mathematics needs to be taught as a language #
mathchat
12:53 am
mathfour
:
@
daveinstpaul
How'd'y' figure? #
mathchat
12:54 am
mathfour
:
Funny that mathematicians are trying to define something so shaky when our lives revolve around definitions. #
mathchat
12:55 am
mathfour
:
Even if we take my def "a system of complex communication"  what the heck is a system in this case? #
mathchat
12:55 am
ColinTGraham
:
@
mathfour
The same word in English can have different meanings depending on where it's used. Ram: computer mem? sheep? battering? #
mathchat
12:55 am
markbethune
:
RT @
markbethune
: when we teach the language of maths, we can learn a lot from our EAL/ESL colleagues #
mathchat
forgot again!
12:56 am
mathfour
:
@
ColinTGraham
Eh... good point. #
mathchat
12:56 am
mathfour
:
So I think we should narrow it down to vocab or symbols or both. #
mathchat
12:56 am
ColinTGraham
:
@
markbethune
Well I taught EFL for 11 years so... the maths/language interface is one of my main interests! #
mathchat
12:57 am
mathfour
:
Well, I take that back. "Sentences" or "expressions" or "equations" all have a particular way about them. #
mathchat
12:57 am
markbethune
:
@
ColinTGraham
well, we have a lot we can learn from you then! Bring it on! #
mathchat
12:58 am
mathfour
:
Y'all ever play the game Taboo? You have to get your partner to say a word and avoid certain other words while you do it. #
mathchat
12:58 am
ColinTGraham
:
@
mathfour
At what point do you take on @
daveinstpaul
's point about reading (writing)... Vocab can be taught as required, maybe... #
mathchat
12:58 am
markbethune
:
@
mathfour
think both are important, symbols are a way of representing the vocab. #
mathchat
12:58 am
mathfour
:
I think of math as a language like that  you don't have to use the WORD if you explain the concept. #
mathchat
12:59 am
mathfour
:
Like if "hand" were the word, you can't say fingers, palm, arm #
mathchat
12:59 am
mathfour
:
But I could say the thing at the end of your upper limbs that has appendages on them. #
mathchat
1:00 am
markbethune
:
@
mathfour
then they would wonder what an appendage is! #
mathchat
1:00 am
mathfour
:
@
ColinTGraham
@
daveinstpaul
Since I'm just now talking myself out of being ornery about this (and seeing y'all's point)... #
mathchat
1:03 am
mathfour
:
@
daveinstpaul
Re: The language of math is taught by reading (and writing) math.  I'm not sure. #
mathchat
1:03 am
ColinTGraham
:
@
mathfour
Also hand includes fingers, palms, fingernails, thumbs, etc. not precise enough for medicine, but ok for everyday #
mathchat
1:03 am
mathfour
:
@
daveinstpaul
If you first teach some vocab, then have them read and write a little, then more vocab... and so on. #
mathchat
1:04 am
mathfour
:
@
ColinTGraham
And that's how I teach the "language of math"  good enough for government work. #
mathchat
1:04 am
markbethune
:
#
mathchat
I have always found that "better" students have a better grasp of mathematical language. Have als? (cont)
http://deck.ly/
~ISbKK
1:04 am
mathfour
:
I'll agree that technology can be used for vocab, though. Although I don't think it should be. #
mathchat
1:05 am
mathfour
:
@
markbethune
"Better" students have a grasp of it because they are too hardheaded to let it get the better of them. That was me. #
mathchat
1:05 am
CutTheKnotMath
:
@
ColinTGraham
@
mathfour
Re: means something different in math. English words have different meanings anyway:
http://bit.ly/g9Eo2i
#
mathchat
1:05 am
ColinTGraham
:
@
markbethune
Research suggests strong links between mathematics, languages, physics and music, in terms of ability too #
mathchat
1:06 am
mathfour
:
Like Sesame Street (technology) teaches vocab... and then writing a story about your summer teaches language. #
mathchat
1:06 am
markbethune
:
@
mathfour
tech can be used in a variety of ways to promote language acquisition #
mathchat
1:06 am
ColinTGraham
:
@
CutTheKnotMath
Yes Alex, and there is also whether "language of mathematics" = jargon, or should maths be taught as a language #
mathchat
1:07 am
mathfour
:
Good one! RT @
CutTheKnotMath
: English words have different meanings anyway:
http://bit.ly/g9Eo2i
#
mathchat
1:08 am
mathfour
:
@
ColinTGraham
I'm with @
CutTheKnotMath
 it's jargon. #
mathchat
1:08 am
ColinTGraham
:
@
mathfour
Or having a problem to solve which requires programming, or using an app, makes you think about it mathematically... #
mathchat
1:08 am
mathfour
:
@
markbethune
How? (not saying it can't, I'd just like examples) #
mathchat
1:09 am
mathfour
:
@
ColinTGraham
And why don't they teach computer math anymore? I loved that class! #
mathchat
1:10 am
mathfour
:
@
ColinTGraham
Of course we were programming in BASIC, but it was still fun. #
mathchat
1:10 am
markbethune
:
@
mathfour
#
mathchat
I can't do it in 140 characters but would love to give you examples. I use TodaysMeet oft? (cont)
http://deck.ly/
~gkZ2e
1:10 am
ColinTGraham
:
@
mathfour
Well maybe people should be using computers to teach mathematics rather than specific branches of mathematics #
mathchat
1:12 am
mathfour
:
@
ColinTGraham
I'm not saying it was a substitute. I just liked the simple programming that taught logic. #
mathchat
1:12 am
CutTheKnotMath
:
@
mathfour
@
ColinTGraham
Jargon? No, I never said that. And why would one need a label? Is sign language jargon? #
mathchat
1:12 am
mathfour
:
Maybe instead of math classes altogether, we should teach programming. #
mathchat
1:12 am
ColinTGraham
:
Programming provides a context for a great deal of algebra, for example, so you have a real context for talking about, eg PEMDAS #
mathchat
1:13 am
mathfour
:
@
CutTheKnotMath
Yep  sign language is jargon. #
mathchat
1:13 am
mathfour
:
Wikipedia: Jargon is terminology which is especially defined in relationship to a specific activity, profession, group, or event. #
mathchat
1:14 am
ColinTGraham
:
@
CutTheKnotMath
In my first def: language (as used) would be jargon. As a means of communciation, then that is 2nd def. #
mathchat
1:14 am
mathfour
:
@
CutTheKnotMath
Sign language is generally for the specific group of deaf people (or 18 month olds like Daughter) #
mathchat
1:14 am
markbethune
:
RT @
markbethune
: @
ColinTGraham
so that takes care of one skill. What about all the others? #
mathchat
1:14 am
CutTheKnotMath
:
@
mathfour
Yep  sign language is jargon. Why? Tell this to people for which this is the only language. What is jargon? #
mathchat
1:15 am
markbethune
:
hashtag, hashtag, hashtag, #
mathchat
, #
mathchat
.....
1:15 am
mathfour
:
@
CutTheKnotMath
Jargon is terminology which is especially defined in relationship to a specific activity, profession, group, event #
mathchat
1:15 am
ColinTGraham
:
@
mathfour
@
CutTheKnotMath
To me jargon is vocabulary which creates a communication breakdown for those who don't know it... #
mathchat
1:16 am
ColinTGraham
:
@
markbethune
;) #
mathchat
1:16 am
mathfour
:
Technically you can argue that any language is jargon. Again mathematicians trying to define the undefinable. #
mathchat
1:16 am
CutTheKnotMath
:
@
mathfour
Wikipedia: Ah, OK. Then it is a jargon. Then what? #
mathchat
(Must get used to the tags. Sorry)
1:16 am
mathfour
:
It's like dropping a cat with a slice of buttered toast strapped to his back. He's going to spin indefinitely. #
mathchat
1:17 am
markbethune
:
@
CutTheKnotMath
don't worry, you're not the only one having a tag problem! #
mathchat
1:17 am
mathfour
:
@
ColinTGraham
Well according to your definition of jargon  math certainly is all jargon! #
mathchat
1:18 am
mathfour
:
@
ColinTGraham
And, with your def, French is jargon as well. #
mathchat
1:18 am
ColinTGraham
:
If we accept the idea that mathematics is a means of communicating abstract ideas and concepts, we may start to clarify 'language' #
mathchat
1:18 am
mathfour
:
@
markbethune
@
CutTheKnotMath
I'm going to have to beat y'all with the hashtag whip, I see. #
mathchat
1:18 am
ColinTGraham
:
@
mathfour
We say someone is speaking Double Dutch in the UK if we don't understand them... even in when they're using English #
mathchat
1:19 am
mathfour
:
@
ColinTGraham
But EVERY language is a means of communicating abstract ideas. LOVE? Duh  pretty stinkin' abstract. #
mathchat
1:20 am
markbethune
:
well, kiddies finishing up a test. Back to the unit circle. Talk later. #
mathchat
1:20 am
mathfour
:
@
markbethune
Bye! *waves and smiles* #
mathchat
1:20 am
ColinTGraham
:
@
markbethune
Thanks for dropping in! Let's hope we have more luck with this in Monday's #
mathchat
!
1:21 am
CutTheKnotMath
:
@
mathfour
@
ColinTGraham
LOVE? Duh  pretty stinkin' abstract. I love the stinking part. #
mathchat
1:23 am
ColinTGraham
:
OK, we just got going and we're 20 minutes over time! Maybe see you on Monday. #
mathchat
1:23 am
mathfour
:
@
ColinTGraham
Well we started late due to a freak daylight savings time accident. When do y'all switch? #
mathchat
1:24 am
ColinTGraham
:
@
mathfour
We switch at the end of March but this #
mathchat
will stay at 00:00GMT on Friday. Monday's will move to match British Summer Time
1:24 am
markbethune
:
@
mathfour
@
ColinTGraham
we don't switch at all in Jakarta so it must be your fault! #
mathchat
1:26 am
mathfour
:
@
colintgraham
So GMT doesn't switch  crazy International Time Zone people. #
mathchat
1:26 am
ColinTGraham
:
Thanks to the 3 of you that joined in today, and the fourth who dropped it to give apologies for absence! #
mathchat
1:28 am
ColinTGraham
:
@
mathfour
GMT is the international standard time, or I suppose UTC to be correct... pah! We go to BST in the UK during the summer #
mathchat
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As it happened on Friday, 18th March 2010 00:00  01:00 GMT