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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
2011.03.21 How do I  lang (2)
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Topic (followup to Friday, 18th March 2011):
How do I use technology to teach the language of mathematics?
As it happened on
Monday, 21st March 2011, 20:30  22:00 GMT
8:31 pm
republicofmath
:
@
ColinTGraham
@
mathchat
Where is #
mathchat
?
8:32 pm
ColinTGraham
:
#
mathchat
is here Gary! @
republicofmath
8:32 pm
ColinTGraham
:
Hello everyone, welcome to Monday's #
mathchat
8:32 pm
ColinTGraham
:
Today's topic is: "How do I use technology to teach the language of mathematics?" #
mathchat
8:32 pm
republicofmath
:
What, pray tell, do we mean or understand by "the language of mathematics"? #
mathchat
8:33 pm
ColinTGraham
:
@
republicofmath
Well, that was the sticking point last week... #
mathchat
8:34 pm
republicofmath
:
Oh dear! I had to know what happened in "a previous episode" ?! #
mathchat
8:35 pm
ColinTGraham
:
We were trying to decide whether it meant the specialized language used in maths or whether mathematics was a language #
mathchat
8:37 pm
ColinTGraham
:
One concensus view that seemed to emerge was that we should be increasing writing/communication in mathematical studies #
mathchat
8:38 pm
republicofmath
:
What if we assumed it were (I learned proper English!) the specialized language used in math(s). What technology helps teach that? #
mathchat
8:38 pm
teachdig
:
@
ColinTGraham
I agree with that idea. #
mathchat
8:39 pm
republicofmath
:
Just what I do via WordPress blogs @
ColinTGraham
... we should be increasing writing/communication in mathematical studies #
mathchat
8:39 pm
PeteCHall
:
RT @
ColinTGraham
: We were trying to decide whether it meant the specialized language used in maths or whether mathematics was a language #
mathchat
8:39 pm
ColinTGraham
:
@
teachdig
Hi Dvora! Yes, there is a movement towards increased levels of communicating understanding in the tweaked curric here #
mathchat
8:40 pm
ColinTGraham
:
@
republicofmath
In terms of tech, blogging about maths, videos explaining symbols, terminology etc. #
mathchat
8:41 pm
maxmathforum
:
#
mathchat
One way tech is great for teaching math language is that we still mostly have to write to communicate with each other online
8:41 pm
teachdig
:
It is definitely a part of IB math both at MYP & DP level #
mathchat
8:41 pm
maxmathforum
:
#
mathchat
The Math Forum (where I work) has online problemsolving challenges. Students have to explain in plain text their math thinking
8:41 pm
teachdig
:
Have students explain how to do something mathematical is challenging and a worthy goal... I think #
mathchat
8:42 pm
maxmathforum
:
#
mathchat
and teachers or volunteer mentors write back to individual kids, asking them questions about their math ideas
8:42 pm
Sundayteatime
:
Does using technology reduce writing mathematically? #
mathchat
8:42 pm
ColinTGraham
:
I'd like to see longitudinal use of tech to show how students acquire precision in the use of terminology, eg in eportfolios #
mathchat
8:42 pm
maxmathforum
:
#
mathchat
for the students it's cool to have someone attend to *your* math ideas, and the communication becomes a side benefit
8:42 pm
teachdig
:
I also think it is important for Ss to learn how to write math symbolically inside a text document... eqn editor for example. #
mathchat
8:43 pm
maxmathforum
:
#
mathchat
I'd like to find more ways for kids to post their math writitng and get feedback from communities of practice
8:43 pm
ColinTGraham
:
@
maxmathforum
Feedback with question prompts from someone other than the class teacher can be very powerful, I think. #
mathchat
8:44 pm
teachdig
:
@
maxmathforum
That is a great idea. How do you get the feedback going do you think? #
mathchat
8:45 pm
republicofmath
:
Max, I get students to post on WordPress blogs but do not advertise to world @
maxmathforum
#
mathchat
8:45 pm
ColinTGraham
:
@
Sundayteatime
I'm not 100% sure on this. Can apps for entering equations, for example, help with acquiring terminology? #
mathchat
8:46 pm
ColinTGraham
:
@
maxmathforum
There are some primary and middle schools posting specifically about maths and science already... #
mathchat
8:46 pm
StrongDaughter
:
RT @
MariaDroujkova
: Teens who organize Organge County Math Circle don't use social media, because kids they target can't use it. It's sad. #
mathchat
8:46 pm
republicofmath
:
@
teachdig
Dvora, WordPress has AMS LaTEX built in. SO easy to use  even for quite young kids #
mathchat
8:46 pm
maxmathforum
:
#
mathchat
I'm surprised there aren't more math classes with student blogs (that I can find at least). What a cool way to showcase your ideas
8:46 pm
EarlSamuelson
:
I agree that blogging helps with math literacy; it encourages to think very carefully before committing those thoughts to words #
mathchat
8:46 pm
mccoyderek
:
RT @
d_martin05
: If u want stu 2 learn math dont give workshts but instead teach them 2 crave solvg the unknown world #
edchat
#
mathchat
8:46 pm
Sundayteatime
:
@
ColinTGraham
yes autograph and wolfram alpha can help ensure you have correct notation. #
mathchat
8:47 pm
maxmathforum
:
#
mathchat
@
ColinTGraham
do you have links?
8:47 pm
teachdig
:
@
ColinTGraham
@
Sundayteatime
How about the combination of both? #
mathchat
8:47 pm
maxmathforum
:
#
mathchat
@
teachdig
A twitter community like this can become a great resource. Ask for volunteers to read and write back to students
8:48 pm
ColinTGraham
:
@
maxmathforum
Yes, I know @
frogphilp
has a maths blog for his school and @
Year7Numeracy
blogs about maths and science #
mathchat
8:48 pm
maxmathforum
:
#
mathchat
in fact, the Math Forum would be thrilled to host student blogs and help recruit feedback givers, e.g. from our Dr. Math vol's.
8:48 pm
teachdig
:
@
republicofmath
That is good to know. I am working on setting things up for next sch yr. #
mathchat
9:05 pm
ColinTGraham
:
@
teachdig
Yes, Ingrid tweeted out something that she recorded with some of her students using those type of pen. #
mathchat
9:06 pm
teachdig
:
@
republicofmath
I use Blogger for personal blog. Does Wordpress require webaddress for host? #
mathchat
9:06 pm
MrHonner
:
@
ColinTGraham
Done well, that would capture and illustrate mathematical thought quite nicely I think. #
mathchat
9:06 pm
republicofmath
:
My students don't do activities. They work on projects,with parameters set by me. Usually 23 weeks at a time #
mathchat
9:06 pm
maxmathforum
:
@
republicofmath
@
ColinTGraham
#
mathchat
or pens that record and index the recording to what you wrote on the paper. And playback as movie
9:07 pm
frogphilp
:
#
mathchat
 some thinking needs a picture to best explain it, not a mike.  Early mathematical graphics:
http://bit.ly/etFAeZ
9:07 pm
teachdig
:
@
republicofmath
@
ColinTGraham
@
maxmathforum
That is a great idea. Now if only I had clip mikes. :P #
mathchat
9:07 pm
frogphilp
:
#
mathchat
I meant mic
9:07 pm
ColinTGraham
:
@
MrHonner
I think having a record of what was actually done where you could go back and explore "why?" has got to help. #
mathchat
9:08 pm
ColinTGraham
:
@
teachdig
You can get adequate clip mikes for about $7 a piece online! #
mathchat
9:08 pm
republicofmath
:
@
stefaniegreay
You wouldn't have far to come  still in New England. That's NEW England @
ColinTGraham
(where it rains like in UK) #
mathchat
9:09 pm
ColinTGraham
:
@
frogphilp
Why? What have you got against Mike, then? ;) #
mathchat
9:09 pm
teachdig
:
@
frogphilp
Oops. Me too on the mic. Though a clip Mike would be funny. #
mathchat
9:09 pm
frogphilp
:
@
ColinTGraham
I was just thinking that I'm sure Mike is very good at explaining maths. ;) #
mathchat
9:10 pm
ColinTGraham
:
@
frogphilp
I agree on the picture approach too. That's where the type of pen Dvora @
teachdig
was talking about would be useful. #
mathchat
9:11 pm
republicofmath
:
Here's a pretty nice example of student writing and incorporation of graphics:
http://jmlmth332s10.wordpress.com/
#
mathchat
9:12 pm
ColinTGraham
:
LiveScribe is an example of the type of pen, in case anyone was wondering...
http://nyti.ms/hYrV1F
#
mathchat
9:12 pm
frogphilp
:
@
ColinTGraham
Picture and sound together. Soon we'll be able to record our scribing with the vid implants in our eyes.... #
mathchat
9:13 pm
teachdig
:
@
ColinTGraham
Thanks. That is the one I have seen though I believe there are others as well. #
mathchat
9:14 pm
ColinTGraham
:
@
frogphilp
Yes, well before things get that far... ;) #
mathchat
9:15 pm
MrHonner
:
@
ColinTGraham
I see. Recordings would provide fascinating insight into how students solve novel problems, or construct proofs. #
mathchat
9:15 pm
republicofmath
:
I think kids should learn to write in LaTeX in middle school at the latest. Throw MWord in the trash. #
mathchat
9:15 pm
stefaniegreay
:
@
republicofmath
if it's in New England, that makes it even more likely that I'd be able to make it. :) #
mathchat
9:15 pm
ColinTGraham
:
So, tech can help with summarizing, reporting, recording thought process, what other ways do you think it could help? #
mathchat
9:16 pm
republicofmath
:
Student in my differential equations class wants to do and post video on his blog. OK with me. #
mathchat
9:17 pm
ColinTGraham
:
If you haven't seen a LiveScribe session, maybe Ingrid @
MmeVeilleux
will tweet one of hers again... #
mathchat
9:17 pm
republicofmath
:
Expression @
ColinTGraham
tech can help with summarizing, reporting, recording thought process, what other ways could it help? #
mathchat
9:18 pm
maxmathforum
:
#
mathchat
@
ColinTGraham
collaborating! technology can help math learners collaborate
9:19 pm
ColinTGraham
:
Expression as in the mathematical meaning or the more general one about communicating views?@
republicofmath
#
mathchat
9:20 pm
ColinTGraham
:
@
maxmathforum
What type of collaboration do you envisage here? On documents, research, projects,... #
mathchat
9:20 pm
republicofmath
:
@
ColinTGraham
Colin Graham Expression = more general one about communicating views #
mathchat
9:20 pm
teachdig
:
@
republicofmath
Can you use LaTex in GoogleDocs? #
mathchat
9:20 pm
republicofmath
:
Yes. It can make work public in real time @
maxmathforum
#
mathchat
collaborating! technology can help math learners collaborate
9:21 pm
ColinTGraham
:
@
republicofmath
Just want to be sure we are using our words precisely! #
mathchat
9:22 pm
republicofmath
:
For me it's collaboration on projects. Students being able to learn from other students. @
ColinTGraham
@
maxmathforum
#
mathchat
9:23 pm
ColinTGraham
:
@
teachdig
Yes. Use Google Docs As LaTeX Editor
http://bit.ly/e06azM
#
mathchat
9:23 pm
republicofmath
:
Precisely! Who would not? For whom is the necessity? @
ColinTGraham
Just want to be sure we are using our words precisely! #
mathchat
9:24 pm
maxmathforum
:
@
ColinTGraham
I envision collaborating on solving interesting problems. Like @
ddmeyer
does on the #
WCYDWT
chats, or even simpler #
mathchat
9:25 pm
maxmathforum
:
@
republicofmath
@
ColinTGraham
thinking back to beginning of chat: being asked questions by others on yr problemsolving #
mathchat
9:25 pm
ColinTGraham
:
@
maxmathforum
I think the project using Skype to measure the circumference of the Earth is a good example too... #
mathchat
9:25 pm
republicofmath
:
Yes:
http://docs.latexlab.org/
@
teachdig
Can you use LaTex in GoogleDocs? #
mathchat
9:26 pm
teachdig
:
@
republicofmath
@
ColinTGraham
Thanks. Will have to check that out. #
mathchat
9:27 pm
ColinTGraham
:
How do people feel about the ease of access to mathematical language on sites like Wikipedia and WolframAlpha? #
mathchat
9:27 pm
AvocadoRoll
:
RT @
republicofmath
: I think kids should learn to write in LaTeX in middle school at the latest. Throw MWord in the trash. #
mathchat
9:27 pm
republicofmath
:
I know problem solving is still fashionable, but I feel it's contrived for the classroom. I like structured projects #
mathchat
9:29 pm
ColinTGraham
:
@
republicofmath
Or at least problems that the students have brought into the class, rather than being presented them by teacher #
mathchat
9:29 pm
republicofmath
:
My students "solve" DEs, calculate integrals, all the time on Wolfram Alpha. Go for it, I say. Use what's there. @
ColinTGraham
#
mathchat
9:29 pm
Sundayteatime
:
Stealing that book report idea for a summer project #
mathchat
(sorry for delayed response my nan called)
9:29 pm
teachdig
:
@
ColinTGraham
I found using WolframAlpha allows for investigation of new ideas. Used it to investigate slopes & intercepts lines. #
mathchat
9:30 pm
republicofmath
:
Poor Eratosthenes! No Skype! ColinTGraham @
maxmathforum
project using Skype to measure circumference of Earth is good example #
mathchat
9:31 pm
ColinTGraham
:
I just wonder if reliance on a well setup site such as WolframAlpha means that students assume other sites are equally 'accurate' #
mathchat
9:31 pm
republicofmath
:
"Investigate" is it @
teachdig
WolframAlpha allows for investigation of new ideas. Used to investigate slopes & intercepts lines. #
mathchat
9:32 pm
ColinTGraham
:
RT @
Janshs
hi, I've used various ideas (thanks 4 remembering Colin): paper journals each day, wiki, VLE forum, all good #
mathchat
9:32 pm
maxmathforum
:
@
republicofmath
what do you mean by prob. solving when you say it's contrived for classroom? #
mathchat
9:33 pm
republicofmath
:
Relates to forms of knowledge  knowing that vs knowing why @
ColinTGraham
re Wolfram Alpha's accuracy #
mathchat
9:33 pm
ColinTGraham
:
@
Sundayteatime
Nice to have you back, Vicky! #
mathchat
9:34 pm
republicofmath
:
@
maxmathforum
Easier, IMO, to motivate project than motivate "problem" #
mathchat
9:36 pm
ColinTGraham
:
@
republicofmath
The knowing how also needs to be taken into account too. WA good for calculating part or the why, not always how #
mathchat
9:37 pm
Sundayteatime
:
@
republicofmath
Really? I would have thought the opposite. For instance Dan Meyer's work. #
mathchat
9:37 pm
maxmathforum
:
@
republicofmath
and project feels openended: posing a problem space and let students define problems to solve within it. #
mathchat
9:38 pm
republicofmath
:
Snowing here in Dartmouth, Massachusetts "Rough winds do shake the darling buds of March" (apologies to Will ) #
mathchat
9:38 pm
maxmathforum
:
bye for now, team, thanks for great #
mathchat
!
9:38 pm
republicofmath
:
Right you are, Colin @
ColinTGraham
"Knowing how" #
mathchat
9:39 pm
ColinTGraham
:
@
maxmathforum
Bye Max, thanks for your contributions today. #
mathchat
9:39 pm
teachdig
:
Thanks for a great discussion on my day off. Gotta go for my run today now and then off to lots of lab reports for feedback. #
mathchat
9:39 pm
republicofmath
:
Sorry  re what? @ Sundayteatime Really? I would have thought the opposite. For instance Dan Meyer's work. #
mathchat
9:40 pm
ColinTGraham
:
@
teachdig
Bye Dvora, see you next time and don't forget to vote for the next topic, if you haven't already! #
mathchat
9:42 pm
ColinTGraham
:
@
republicofmath
I suspect @
Sundayteatime
means problems vs. projects... that Dan Meyer's approach is motivating and is 'problems'. #
mathchat
9:43 pm
Sundayteatime
:
RT @
republicofmath
: @
maxmathforum
Easier, IMO, to motivate project than motivate "problem" #
mathchat
9:44 pm
republicofmath
:
Feel classroom problems are motivating in relatively trivial sense. There are of course "big" problems which are really projects #
mathchat
9:45 pm
ColinTGraham
:
OK, it looks like we're running out of steam on this... any last comments or thoughts on tech and the language of mathematics? #
mathchat
9:47 pm
Sundayteatime
:
Hmm technology is better at writing greek letters on the board than me #
mathchat
9:48 pm
ColinTGraham
:
@
Sundayteatime
LOL or should that be ???? ;) #
mathchat
9:49 pm
Sundayteatime
:
@
ColinTGraham
I really struggled with mu today. #
mathchat
9:49 pm
ColinTGraham
:
One thing I found interesting both last week and today was that interactive whiteboards were not mentioned... hmm... #
mathchat
9:49 pm
republicofmath
:
LaTeX better at writing math than you or me @
Sundayteatime
technology better at writing greek letters on board than me #
mathchat
9:51 pm
republicofmath
:
"interactive whiteboards" ? Don't make me laugh! Oh, you just did! @
ColinTGraham
... interactive whiteboards #
mathchat
9:53 pm
ColinTGraham
:
@
Sundayteatime
It's a matter of practising lots... I had the advantage of learning Ancient Greek to Olevel, so less of a problem! #
mathchat
9:53 pm
CutTheKnotMath
:
@
republicofmath
@
ColinTGraham
Just to join in the laugh ... #
mathchat
9:53 pm
ColinTGraham
:
And another joining in the frivolity! RT @
RSeddon
: @
ColinTGraham
IWBs can create the illusion of using ICT. #
mathchat
9:54 pm
republicofmath
:
Alex, don't you use interactive whiteboards? @
CutTheKnotMath
#
mathchat
9:55 pm
ColinTGraham
:
So are we saying IWBs are not tech or is it more that they are not being used effectively... #
mathchat
9:56 pm
republicofmath
:
@
ColinTGraham
They were SUCH a fad. If you weren't using them you were so passe. And now ... Technology moved on. Change happens #
mathchat
9:56 pm
sdisbury
:
IWB are teacher toys too often. I find it too time consuming to get the pupils to the board. #
mathchat
(scuse my butting in!)
9:57 pm
sdisbury
:
Adding slate to the mix should have made it easier for pupils to interact but it's too hard to use without lots of practice. #
mathchat
9:57 pm
ColinTGraham
:
@
sdisbury
Feel free! We decided improved communication was one of the main ways tech could help with the language of maths #
mathchat
9:58 pm
republicofmath
:
@
sdisbury
IMO a Scot from Thurso can butt in any time she pleases! #
mathchat
9:58 pm
ColinTGraham
:
Interaction is a big part of communication, so if IWBs are not being used interactively it is not the fault of the tech! #
mathchat
9:59 pm
republicofmath
:
Most likely a sandpit was new technology for Archimedes. #
mathchat
We use what's there.
9:59 pm
ColinTGraham
:
Well it's always nice to end on a light note! Thanks for your contributions everyone... very lively for a Monday! #
mathchat
9:59 pm
RSeddon
:
IWBs have potential, just because it's on doesn't mean it's effective. If it can be done on a chalk board then use that instead! #
mathchat
10:00 pm
republicofmath
:
Well, we have to blame something! @
ColinTGraham
...If IWBs are not being used interactively it is not the fault of the tech! #
mathchat
10:00 pm
CutTheKnotMath
:
@
republicofmath
In the early 1990s AT&T worked on a smart phone. The project was closed because the design required more than 64k #
mathchat
10:01 pm
sdisbury
:
@
ColinTGraham
Do you use Formulator Math ML ? Easiest I have found to create expressions, etc.
http://bit.ly/bNKgpf
#
mathchat
10:02 pm
ColinTGraham
:
Don't forget to vote for the next in the "How do I...?" series:
http://bit.ly/e72g8r
#
mathchat
10:02 pm
sdisbury
:
I'm always late for #
mathchat
 out on a Monday. Enjoy catching up when I get in.
10:02 pm
republicofmath
:
ΛΩΛ @
CutTheKnotMath
In early 1990s AT&T worked on a smart phone. Project was closed because design required more than 64k #
mathchat
10:03 pm
ColinTGraham
:
@
sdisbury
Nice to have you, how ever short the visit. #
mathchat
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How do I use technology to teach the language of mathematics?
As it happened on Monday, 21st March 2011, 20:30  22:00 GMT